4. Let U = {m,a,t,h,e,w,d,i,n} %3D X = { e,w,m,a,t} y = {e,w,d,i,n} %3D %3D Z= {h,e,w} Find Z' N (Y- X) |

Q: (xy+ yz+ xz)dV B = {(x, Y, 2) | 0 < I < 5,0 < y < 4,0 < z< 7} . Do not round. Hint: dV can be…

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Q: (b) If z r+ry- y7, 1= u+ and y = 2uv, find: in terms of du %3D u and v.

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Q: 22. :-29-23²-x²y + 16 z = 2Y

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Q: x,2,3) x ,x,1) P,(2,1,1) d ( P,(0,3,5) d (-

A: 1. P(x,2,3), Q(2,1,1), d(P,Q)=21 2. P(x,x,1), Q(0,3,5), d(P,Q)=5

Q: IX. Į F dF where F = (x,y) and C is the straight line from (2,3) to (4,0)

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Q: S SR (4x + 8y)dA, where R is the parallelogram region with vertices (-1,3), (1, −3), (3, −1) and…

A: To Evaluate: Where, is the parallelogram with vertices . Transfomations: ,

Q: 4. Let D be the region in the plane in between the two circles x² + y² = 1 and x² + y² = 4, and to…

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Q: The point S (x, y) = (-x, y). What transformation is S? с. T-axis a. T_1.0 d. Ty-axis b. R270

A: Given linear transformation is S:ℝ2→ℝ2 defined as Sx, y=-x, y where x, y∈ℝ. We have to identify the…

Q: 1. Let y = x² + 1 and y = −2x + 1. (a) Graph the two functions together on the same plane. Find the…

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Q: (In æ)" Find y'. Let y = e" + 2

A: Explanation of the solution is given below...

Q: Evalwate f, the inaicated point. (Y.y) and Fy y,y) CY.y) at 3. at (l,3)

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Q: Evaluate xy dx + (x+ y)dy along the.curve y = 4x from (- 3,36) to (- 2,16). C xy dx + (x + y)dy =] C…

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Q: 10. Given X(7,3) and Y(-6,2), find the coordinates of any point Z such that XZ XY = 41. .

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Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: Let f(x ,y, z) = x²yª + z³ and x = 4s?, y = 2st?, and z = 3s?t. %3D %3D

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Q: 2. Which of the following is the domain of y sec(x)? %3D A. [-1,1] B. R- (n+ 1) C. IR D. [-1,0}

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Q: Find Dy, Dx and the value of x, y,z    x + y + z = 2   6x -4y+5z=31   5x +2y+2z=13

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Q: 3) 2 y dx + (x - x³y²³) dy

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Q: Find fyzy. 9,8 f(x, y) = x°y³ – 8x*y + x f yry yxY ||

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Q: 1. If R is the region in the first quadrant bounded by x-axis, 3x + y = 6 and y evaluate 3x, Jf 3y…

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Q: where Dx = X₁-X₂ and Dy = |Y₁ — Y2]. Assume that the two locations are independent and uniformly…

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Q: 1. If 4 = xy i+yzj+zxk, find curl4 and curl curl A at points (1,2, –3).

A: Given that A = xy i + yzj + zxk and find curlA and curlcurlA at point (1,2,-3). Here i attached…

Q: $ x4* dx + 2x*y dy where C is the triangle wl vertices (0,0), (3=), and (2, 4) i ?

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Q: a. Plot the circles x squared + y squared = 4 and x squared + y squared = 1 on the same coordinate…

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Q: Compute the Jacobian for the substitutions x = ρsinφcosϴ,  y = ρsinφsinϴ,  z = ρcosϴ.

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