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I just need the answer for (c) in both question but i need it in details please A wire of length 110 inches will be

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I just need the answer for (c) in both question but i need it in details please

image text in transcribedimage text in transcribed
A wire of length 110 inches will be used to make the frame (edges) of a box with a square bottom. (a) Find a formula for the volume of the box in terms of the width only. Use lower case w. 55wz V(W) = 2w3 cubic inches 2 (b) Find the non-zero critical point of V(w). 55 W = 6 inches (c) Perform the Second Derivative Test to determine the optimal volume of the box. Include a clear conclusion in your work. For instructor's notes only. Do not write in the box below. (No Response) This answer has not been graThe hypotenuse of a right triangle has one end at the origin and one end on the curve y(x) = x'e 4*, with x 2 0 . One of the other two sides is on the x-axis, the other side is X (a) Express the area of the triangle in terms of x only. A(X) = 1 xx.e 4x (b) Find the critical point for x > 0. X = 1.5 (c) Perform the First Derivative Test to determine the optimal area of the triangle. Include a clear conclusion in your work. For instructor's notes only. Do not write in the box below. (No Response)

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