Let C= {[c, d] : –1

Q: Compute the work done by the force 7 = (sin(x + y), xy, x²z) in moving an object along the…

A: Given force The object is moving along the straight line and from

Q: Find the divF given that F=∇f=∇ where f(x,y,z)=xy^3z^2 divF=

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Q: BA)Find normal line and parallel plane to the function f(x, y, z)=x√yz + 6 At point (-3,1,4).

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Q: find the angles between the curves v=u2, v=u3, lying on the surface  x=u2+v2 y=u2-v2 z=uv+3u+2v

A: As per the question we are given the parametric form of a surface in 3d as : x = u2 +v2 y = u2 - v2…

Q: Find an equation of the line tangent to the intersection of the cylinders x² + z² = 4, y² + z² = 4…

A: The parametric form of the tangent line is  x=x0+aty=y0+btz=z0+ct where, (a,b,c) is the direction…

Q: True or fulse

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Q: 3. Find the work done in moving an object along the straight line from (3,2,-4) to (-1, 4, 3) in a…

A: To find the work done in moving an object along the straight line.  Let the object move from…

Q: Utilize a parameterization of these line segments to figure out the work done by the force: F(x, y)…

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Q: List Y' using the roster method. Answer Y' - X 3 6 16 38 53 18 19 20 10 21 40 60

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Q: Find div F and curl F if F(x, y, z)=xi - 10j+yzk. div F= curl F=

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Q: Solve for the distance between the point P(0,0,0,0) and the plane w + x + y + z = 3 in R^4.

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Q: Find a vector equation for the curve of intersection between the surfaces y^2-x^2=9 and 2x-3y-z=12.

A: Introduction: We can determine the vector equation of the curve formed by the intersection of two…

Q: Exercise 3. We derived Equation (10) which expresses the two 2-point DFT's DFT (ao, a2) and DFT (α₁,…

A: Given: Expressions of two 2-point Discrete Fourier transform in terms of the 4-point Discrete…

Q: What are the coordinates of V'

A: For Triangle ∆TUV, the coordinates at point T is (-7,-6) at point U is (-8,3)  and at point V is…

Q: Calculate the Foĥds? where S is Surface bo undade by Xャそ=6, x*+y=4, Z=0 ana F= (x*vcosz)& + (xy+…

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Q: Find speed and acceleration at a point (C,D), if distance of a particle is given by S = 2t^3− 3t^2…

A: The acceleration of an object is the rate of change of its velocity. The velocity of an object is…

Q: af Calculate at point (-1,2) where f (x, y) = 8+ x² + 3y? dv and v = i+j. 10 2 5/2 V2

A: fx, y=8+x2+3y2  &  v=i+j Partially differentiating with respect to x, we get fxx, y=0+2x+0=2x…

Q: Prove that ∆ + ∇ =∆/∇ −∇/∆

A: We have to prove that ∆+∇=∆∇-∇∆

Q: f(x.y) = x³y – . Calculate Se af and əx ду

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Q: Find a vector equation for the curve of intersection of the surfaces x^2 + y^2 = 4 and z = xy.

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