Find the upward flux of F(x, y, z) =< x, 2y, z > through the part of z = 8 - 2x² – 2y², 0 ≤ z ≤ 6.

Q: 2. For the equation 2x² + 2xy + 2y²-2x-10y+11= 0, eliminate the xy term by rotating the coordinate…

A: Given: The given equation of the conic is 2x2+2xy+2y2-2x-10y+11=0.                      ...........1…

Q: ). vert the following equation to polar coordinates. Your answer should be expressed in the format r…

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Q: QUESTION 1 x(t) = t – t2 y(t) = t3 Find dy/dx whent = 2. Round off to two decimal places.

A: Given: xt=t-t2, yt=t3 we know that dydx for given function is given by dydx=dydtdxdt=ddtt3ddtt-t2…

Q: A two-dimensional robot arm "knows" where it is by keeping track of a "shoulder" angle a and an…

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Q: 1. Sketch the following curves. (b) z-3+2², y--t. (c) 2-3cm, -3 sin 6. (d) z-2+3cm, y-sin-1. 2. Find…

A: To Sketch: The following curves: (a) x=2t2, y=4t (b) x=3+2t2, y=-4t (c) x=3cosθ, y=3sinθ (d)…

Q: 4. Find the length of the curve having a parametric equation of x = a cos 3 6, y = a sin 2 0 from e…

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Q: av2 (x³ – 2)(2a? – x²)2 dx

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Q: 4 16-y² •LIV (1 − g? _ g) dedy. 2. Use polar coordinates to evaluate

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Q: Question 4 (a) An object is moving with position vector r(t) = cos(cot)i+sin(at)j + at³k. (1)…

A: Given :position vector :r(t)=cos(ωt)i+sin(ωt)j+αt2kω=π and α=2 and t=3

Q: An integrating factor of (xy? + 2x?y³) dx + (xy – x'y?) dy = 0 is

A: Given equation (xy2+2x2y3)dx +(x2y-x3y2)dy = 0or y(xy+2x2y2)dx + x(xy-x2y2)dy = 0 here  M…

Q: Q 1. (a). Express z=2+/2i in polar form. (b). Find the value of z if e² =1.

A: Q1. (a) given complex number is                                                              z=2+2i…

Q: Consider following parametric equations for a curve. x = e-St cos(5t), y = e-St sin(5t), z = e-5t…

A: Parameteric equation of the curve,        The point (1, 0, 1) lies on the curve for t = 0.The vector…

Q: Draw the polar curve to ((x-3)2/32) - (y2/32) = 1

A: We have to draw the polar curves to x-3232-y232=1.

Q: (png)→p=T b. -p→F = p а.

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Q: Use polar coordinate to find S² So 1-(x-1)2 x+y x² + y² dydx

A: A double integral ∫02∫01-x-12x+yx2+y2dydx To Find: Use polar to find the above integral. "As per the…

Q: Given that x (t) = 3 sin t, y(t) = 2 cos² t, convert the parametric equations into the Cartesian…

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Q: 1z2 in polar form. z1 = 5(cos(170)+i sin(170)) : z2 = (1/2) (cos(10)+i sin(10)

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Q: дz ду Find at the point (1,2), if z= sin IX. y If z= cos y determine

A: Since, these all are different problems, so, I am solving the question 1 only.