Find the centroid of the region bounded by y? = 16x and y? = 32(x – 8). - NOTE: Enter the exact answers. (T, T) = |(16, 16)

Q: Find the distance between (1, 1/4, 1/2) and (1.5, 1/2, n).

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Q: 2. For F = (xz3, 2y*x²,5z?y) find: a. div F b. Curl F and find div(curl F) C.

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Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: Find the Atend and matnix gF

A: Given a T be a linear transformation and Tx,y=x+y,y−x We have to find the standard matrix of T Let…

Q: Problem 1B. Solve the system of linear equations using Gauss-Jordan Elimination. -2 2 -4 7 [X1" 8.…

A: In Gauss-Jordan elimination method we first write the given system in augmented Matrix form and then…

Q: The area bounded by the curve y3a and the lines z 4 and a-9 above the z-azis is aquare units O 27v0…

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Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: What is the domain of h(x, y) = Vx - y?

A: Given: hx,y=x-y we know that for domain of square root function inside of root not has to be greater…

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

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Q: Q.2 Find DivF and curlF at point (1,2) , where f(x, y) = xy² + Inxy

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Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: Find y'(0) and y"(0) from the following table ofvalues: X 0 1 2 y 4 8 15 3 4 7 6 5 2

A: From the given table upper digits are values of X and lower digits are values of Y(X).

Q: find √x² ds along the line of intersection of the two planes X-Y+z = 0 and x+y+ 2z =0, From origin…

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Q: 3. y = -4 x-2: (4, -4)

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Q: . Solve -3 cot? x-9cscx 9. (A) 150° (B) 180° (C) 210°

A: Solution : given equation is    -3 cot2x-9 cscx =9

Q: Calculate the rectangular approximations R1, R2, and R4 for f(x)=2x−1 over the interval [1,5].

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Q: Find the area of the surface when y = vx, from (4, 2) to (9, 3) is rotated about the x-axis.

A: Surface area formula for rotating about x-axis is S=∫2πydS where dS=1+dydx2dx

Q: Shade the area of the region bounded by the parabola, x² + p? – 2(p + 7)x – 5y + 59 + 14p = 0 and…

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Q: The ordeng and transportation Cost C Cin hundred of dollars) for automobrle dealership is modeled by…

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