Evaluate F. dr. Jc F(x, y) = 9xi + 6yj C: r(t) = ti + V4 - tj, -1 sts 1

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A: Comparison Test: Let us consider two series ∑n=1∞un,∑n=1∞vn such that un≤vn ∀n∈N Then ∑n=1∞un…

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A: Given problem:- f(x) =  4x5 -5x4 -40x3 +5 To find:- a). Critical points  b) Use the First Derivative…

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A: Given :     Elasticity

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A: answer is in next step

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Q: Find V · (F × G), if F(x, y, z) = 3ri+j+6yk and G(x, y, z) = xi+ yj – zk. V· (F × G) ||

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Q: QUESTION 12 Solve the following system of equations and fill in the values below: x + 2y - 2z = -15…

A: Here we have to solve the following system of equations. x+2y-2z=-152x+y-5z=-21x-4y+z=18

Q: ||r(t) × r"(t)|| ||M(t)|| Use the formula k(t) to find k(t). r(t) = t²i + t'"j 242 t7 K(t) = (4+ 121…

A: Cross product

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Q: Use a triple integral to find the volume of the region bounded by 5x + 8y, z = 9, and the planes x =…

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Q: The point P(p, 1), where p > 0, lies on the curve x² + 2xy³ – 3y* = 0. a) Calculate the value of p.…

A: Since point , P(p,1) lies on the given curve, therefore this point will satisfy the curve .Using…

Q: 13) wnite the crroesponding recferge equation for tue curve represenfed dy tue parametic equatias x=…

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Q: QUESTION 12 Suppose the demand function D(x) = x² – 12× + 36 and supply function S(x) = x2. Find…

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Q: EX2 Compute the secand erder partial Jerivative Fx ち,ち~ and a)

A: " Since you have asked multiple  question we will solve first one for you. Please ask specify…

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A: Given Vertices (-a,0)=(-11,0) and (-a,0)= (11,0) ⇒a=11 Endpoints of minor axis (0,-b)= (0,-6) and…

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Q: Is) Phd an equetian f te tangerut lme et a point C0.0) on the cur ve X= t-144 Aswers: aj 2y-x>0…

A: Topic = Derivative

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Q: answer is partialy Answer the questions for the following polar equation. 3 r = 1- cose (a) Identify…

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Q: Find the Jacobian d(x, y) / d(u, v) for the indicated change of variables. u- v), y =u + v) X = -

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Q: 2 - (2x 3y)dx - (2y + 3x)dy 0

A: 2)-(2x-3y) dx-(2y+3x) dy=0dydx=(2x-3y)-(2y+3x)dydx=3y-2x2y+3xdydx=3yx-22yx+3y=vxdydx=v+xdvdx

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A: Since the student has posted multiple questions and does not mention any specific question, so we…