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- 4.A.1. Is there a real number whose square is -1? a. Is there a real number x such that ? O x = -1 O x*2 = -1 4.A.1. Is there a real number whose square is -1? b. Does there exist such that x^2= -1? a number a real number 4.A.2. Is there an integer that has a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6? a. Is there an integer n such that n has ? a remainder of 5 when it is divided by 2 and a remainder of 3 when it is divided by 6 a remainder of 2 when it is divided by 5 and a remainder of 3 when it is divided by 6If ysinx = a and ycosx = b, find y in terms of a and b. Oa+b Va² + b² Va+b a³ + b²Example 2: Find the minors of every element of the following matrices: For part (a): 1 3 -27 A 4 -3 4 -1.
- For what value of a and b are the vectors (a-b,2) and (4,a+b) equal?a is arbitrary 1. let x=1, y=2 4y^2=ax b is arbitrary 2. let x=1, y=2 x+2y=b1) Sketch the vectors in a,b,c, and d using the provided figures A) a. u + v b. u + v + w C.u -v d. u- w B) a. u - v b. u - v + w c. 2u - v d. u + v + w 2) A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u =i - 2j, v = 2i + 3j, and w = i + j. Write u = u, + u, where u, is parallel to v and u, is parallel to w. (See Exercise 41.) B) Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the air- plane, assuming that the positive x-axis represents due east and the positive y-axis represents due north. 3) Rectangle Find the measures of the angles between the diago nals of the rectangle whose vertices are A = (1, 0), B = (0, 3), C = (3, 4), and D = (4, 1). 4) Triangle Find the measures of the angles of the triangle whose vertices are A = (-1, 0), B = (2, 1), and C = (1, –2).
- 15. Formula for parallelogram is: a. A=bxh b. A=1/2(bh) c. A=b+b(h) d. All of the above 2 pointsB. Here are two statements: Statement 1: Figure F is a rectangle. Statement 2: Figure F is a triangle. Which is correct? A. If 1 is true, then 2 is true. B. If 1 is false, then 2 is true C. 1 and 2 cannot both be true D. 1 and 2 cannot both be false.there is a problem in question a : R=by/b+2y not only b+2y