Skip to main content

Bartleby Sitemap - Textbook Solutions

All Textbook Solutions for Precalculus

11AYU In polar coordinates, the points ( r, )and( r, ) are symmetric with respect to which of the following? (a) the polar axis (or x-axis ) (b) the pole (or origin) (c) the line = 2 (or y-axis ) (d) the line = 4 (or y=x )In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=4 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=2 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. = 3 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. = 4 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsin=4 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcos=4 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcos=2 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsin=2 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=2cos In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=2sin In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=4sin In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. r=4cos In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsec=4 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcsc=8 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rcsc=2 In Problems 15-30, transform each polar equation to an equation in rectangular coordinates. Then identify and graph the equation. rsec=4 29AYU In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. = 4 In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. = 3 4 In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. rcos=2 In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. r=1+cos In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. r=2sin In problems 31-38, match each of the graphs ( A ) through ( H ) to one of the following polar equations. = 3 4 36AYU In Problems 39-62, identify and graph each polar equation. r=2+2cos In Problems 39-62, identify and graph each polar equation. r=1+sin In Problems 39-62, identify and graph each polar equation. r=33sin In Problems 39-62, identify and graph each polar equation. r=22cos In Problems 39-62, identify and graph each polar equation. r=2+sin In Problems 39-62, identify and graph each polar equation. r=2cos In Problems 39-62, identify and graph each polar equation. r=42cos In Problems 39-62, identify and graph each polar equation. r=4+2sin In Problems 39-62, identify and graph each polar equation. r=1+2sin In Problems 39-62, identify and graph each polar equation. r=12sin In Problems 39-62, identify and graph each polar equation. r=23cos In Problems 39-62, identify and graph each polar equation. r=2+4cos In Problems 39-62, identify and graph each polar equation. r=3cos( 2 )50AYU 51AYU 52AYU In Problems 39-62, identify and graph each polar equation. r 2 =9cos( 2 )54AYU In Problems 39-62, identify and graph each polar equation. r= 2 56AYU In Problems 39-62, identify and graph each polar equation. r=1cos 58AYU 59AYU In Problems 39-62, identify and graph each polar equation. r=4cos( 3 )61AYU 62AYU 63AYU 64AYU 65AYU 66AYU In problems 69-72, the polar equation for each graph is either r=a+bcos or r=a+bsin,a0 . Select the correct equation and find the values of aandb .In problems 69-72, the polar equation for each graph is either r=a+bcos or r=a+bsin,a0 . Select the correct equation and find the values of aandb .In problems 69-72, the polar equation for each graph is either r=a+bcos or r=a+bsin,a0 . Select the correct equation and find the values of aandb .70AYU 71AYU 72AYU 73AYU 74AYU 75AYU 76AYU 77AYU 78AYU 79AYU In Problems 73-82, graph each polar equation. r=cos 2 Show that the graph of the equation rsin=a is a horizontal line a units above the pole if a0and| a | units below the pole if a0 .Show that the graph of the equation rcos=a is a vertical line a units to the right of the pole if a0and| a | units to the left of the pole if a0 .83AYU 84AYU 85AYU 86AYU 87AYU 88AYU 89AYU 90AYU 1AYU 2AYU 3AYU 4AYU 5AYU 6AYU 7AYU 8AYU 9AYU 10AYU In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 1+i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 1+i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 3 i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 1 3i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 3i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 2 In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 44i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 9 3 +9i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 34i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 2+ 3 i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 2+3i In Problems 13-24, plot each complex number in the complex plane and write it in polar form. Express the argument in degrees. 5 i In Problems 25-34, write each complex number in rectangular form. 2( cos 120 +isin 120 )In Problems 25-34, write each complex number in rectangular form. 3( cos 210 +isin 210 )25AYU 26AYU In Problems 25-34, write each complex number in rectangular form. 3( cos 3 2 +isin 3 2 )28AYU 29AYU 30AYU 31AYU 32AYU 33AYU 34AYU 35AYU 36AYU 37AYU 38AYU 39AYU 40AYU 41AYU 42AYU 43AYU 44AYU 45AYU 46AYU 47AYU 48AYU 49AYU 50AYU 51AYU 52AYU In Problems 55-60, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex cube roots of 88i In Problems 55-60, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex cube roots of 3 i In Problems 55-60, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex cube roots of 44 3 i 56AYU In Problems 55-60, find all the complex roots. Leave your answers in polar form with the argument in degrees. The complex cube roots of 16i 58AYU 59AYU 60AYU 61AYU 62AYU 63AYU 64AYU 65AYU 66AYU 67AYU A ________ is a quantity that has both magnitude and direction.If v is a vector, then v+( v )= ___.3AYU 4AYU 5AYU 6AYU 7AYU 8AYU In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 11-18, use the vectors in the figure at the right to graph each of the following vectors.In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. A+B=F In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. K+G=F In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. C=DE+F In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. G+H+E=D In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. E+D=G+H In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. HC=GF In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. A+B+K+G=0 In Problems 19-26, use the figure at the right. Determine whether each statement given is true or false. A+B+C+H+G=0 25AYU 26AYU In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 0,0 );Q=( 3,4 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 0,0 );Q=( 3,5 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 3,2 );Q=( 5,6 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 3,2 );Q=( 6,5 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 2,1 );Q=( 6,2 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 1,4 );Q=( 6,2 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 1,0 );Q=( 0,1 )In Problems 29-36, the vector v has initial point p and terminal point Q . Write v in the form ai+bj ; that is, find its position vector. P=( 1,1 );Q=( 2,2 )In Problems 37-42, find v . v=3i4j In Problems 37-42, find v . v=5i+12j In Problems 37-42, find v . v=ij In Problems 37-42, find v . v=ij In Problems 37-42, find v . v=2i+3j In Problems 37-42, find v . v=6i+2j In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 2v+3w In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . 3v2w In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . vw In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v+w In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v w In Problems 43-48, find each quantity if v=3i5jandw=2i+3j . v + w 47AYU In Problems 49-54, find the unit vector in the same direction as v . v=3j 49AYU 50AYU In Problems 49-54, find the unit vector in the same direction as v . v=ij In Problems 49-54, find the unit vector in the same direction as v . v=2ij 53AYU 54AYU 55AYU 56AYU 57AYU 58AYU 59AYU 60AYU 61AYU 62AYU 63AYU 64AYU 65AYU 66AYU 67AYU 68AYU 69AYU 70AYU 71AYU 72AYU 73AYU 74AYU 75AYU 76AYU 77AYU 78AYU 79AYU 80AYU 81AYU 82AYU 83AYU 84AYU 85AYU 86AYU 87AYU 88AYU 89AYU 90AYU 91AYU 92AYU 93AYU 94AYU 95AYU 96AYU In a triangle with sides a, b, c and angles A, B, C, the Law of Cosines states that ________. (p. 546)If w= a 2 i+ b 2 j and v= a 1 i+ b 1 j are two vectors, then the _______ __________is defined as vw= a 1 a 2 + b 1 a 2 .If vw=0 , then the two vectors v and w are ______.If v=3w , then the two vectors v and w are _____.True or False Given two nonzero vectors v and w, it is always possible to decompose v into two vectors, one parallel to w and the other orthogonal to w.True or False Work is a physical example of a vector.7AYU 8AYU 9AYU 10AYU 11AYU 12AYU 13AYU 14AYU 15AYU 16AYU Kind a SO that the vectors v=iajandw=2i+3j are orthogonal.Find b so that the vectors v=i+jandw=i+bj are orthogonal.In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=2i3j,w=ij In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=3i+2j,w=2i+j In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=ij,w=i2j In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=2ij,w=i2j In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=3i+j,w=2ij In Problems 21-26, decompose v into two vectors v 1 and v 2 , where v 1 , is parallel to w , and v 2 is orthogonal to w . v=i3j,w=4ij 25AYU Computing Work A wagon is pulled horizontally by exerting a force of 20 pounds on the handle at an angle of 30 with the horizontal. How much work is done in moving the wagon 100 feet?27AYU 28AYU 29AYU 30AYU 31AYU Incline Angle A bulldozer exerts 1000 pounds of force to prevent a 5000-pound boulder from rolling down a hill. Determine the angle of inclination of the hill.33AYU 34AYU 35AYU 36AYU 37AYU 38AYU 39AYU 40AYU 41AYU 42AYU 43AYU 44AYU The distance d from P 1 =( x 1 , y 1 ) to P 1 =( x 1 , y 1 ) is d= _______. (p. 4)2AYU 3AYU 4AYU 5AYU 6AYU In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). y=0 8AYU 9AYU 10AYU In Problems 7-14, describe the set of points ( x,y,z ) defined by the equation(s). x=4 12AYU 13AYU

Page: [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]