Determine K' if the figure is reflected across the x-âxis. K A. (4, 1) OB. (1,-4) OC (1,-4) D. (1, 4)

Q: Example: Find speed and direction of r(t) when t=2 If r(t)=t³i+2t²j +5k

A: Given:   r  =t3i∧+2t2j∧+5k∧Speed can be given by,   v→,dr→dt=dt3i∧+2t2j∧+5k∧dtdr→dt=3t2i∧+4tj∧ ms-1

Q: Graph the following points on the coordinate plane. Find the measure of ∠DFE∠DFE to the nearest…

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Q: and Fa 14,1 4,6) parsing through

A: Topic :- conic section

Q: Eliminate the parameter. (x = 4t - 5 1. 4 y = 3– 8t II 2.

A: To eliminate the parameter

Q: (19,9). Find coordinates for the point P between A and B (-5, 2) and B = that is three fifths of the…

A: To find the coordinates for the point P between A and B.

Q: B. Find the value of x so that m Il n. |(4x+6)°

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Q: O Find an equation desing the line Segment from P(3,-1,4) to Pi(o, 5,2)

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Q: Relect the square about the line yX (include tne image formed in the solution that you will be…

A: We have the figure in the shape of a square and we need to reflect it by y=x. Now, the points of the…

Q: : Given that u= 318 H and v= 20 9 H 5 .8. 10100 9 find :

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Q: M 15 J L

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Q: 3. A point on the terminal side of an angle is given. Find r and then find all six trig functions…

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Q: In the figure below, XY=4 and YZ=7. Find XZ. Y XZ = \| %3D

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Q: Determine values of x and y so that v · w = 0 and v · u =

A: There are vector representation given as, v=x1y , w=x-20  and u=0-9y. To find the value of  x  and y…

Q: Determine the value of x so that line { will be parallel to line m. 1/2 3 /4 5/6 7/8 me1 = + as) 45…

A: Given- m∠1=x2+45° and m∠5=3x4° To Find- The value of x so that the line l and m are parallel to…

Q: If AABC is reflected across y=x, what is the coordinate for C? а. (1,5) b. (1,-5) C. (5,-1) -2 -2 d.…

A: We can make it easier for you.

Q: R-R 14. Find between 0 and 360 degrees so that

A: Given, is radian then we have, So, the angle in degree =angle in radian The radian measure of an…

Q: (b) Sketch the graph of y = x² + b for b = ±1, ±2, and +3 in a single coordinate system.

A: To graph the function,  y = x2 + b For b = -3, -2, -1, 1, 2, 3 On a single coordinate system.

Q: (-3,2) E (3,2) S (-3,-2) T (3,-2)

A: Consider the points,   B (-3, 2), E (3, 2), S (-3,-2) and T (3,-2)   To plot the given points on the…

Q: Evaluate F. dr along the line segment C from P to Q. F = -7xj; P(8, 3), Q(8, 4) #1 [F F. dr = i

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Q: nd the distance between the two dissonant lines below х-1 y z+1 L1: 2 4 L2: = = z – 3 x-2 у-5 %3D 2…

A: Explanation and solutions is given below.....

Q: Figure ABCD is reflected across the x-axis. 10 What are the coordinates of A', B', C and D'? Enter…

A: Whne reflected about x axis the (x,y) becomes (x,-y). Please see the explanation below.

Q: JJ X

A: Note;- we have to find line of reflection for given triangles.

Q: If C (12, -2) is reflected over the x-axis, which coordinate will change? O the y-coordinate O the…

A:

Vector Arithmetic

Vectors are those objects which have a magnitude along with the direction. In vector arithmetic, we will see how arithmetic operators like addition and multiplication are used on any two vectors. Arithmetic in basic means dealing with numbers. Here, magnitude means the length or the size of an object. The notation used is the arrow over the head of the vector indicating its direction.

Vector Calculus

Vector calculus is an important branch of mathematics and it relates two important branches of mathematics namely vector and calculus.