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15. Evaluate the following double integral. 3+5y vx Ydxdy
Evaluate the following integral. Six - 5y² x Sex - 52 dx =D (Type an exact answer. Use C as the arbitrary constant as needed.) Enter your answer in the answer box
only part b of Q3 will be highy appericiated
3. (20pts) a. (10pts) A storage shed is in the shape of a pyramid with square base of length L and height H in meters. Derive a formula for the volume of the shed using slicing. (Note: the best answer has evaluated the integral.) b. (10pts) Suppose the shed contains a material whose density is proportional to the distance from the top, so that 6(v)-k(H - v) kilograms per cubie meter...
Use Green's theorem to evaluate the line integral S. (sin(22) – 5y) dx + (72 – y cos y) dy, where C is the the counter clockwise oriented closed curve consisting of the upper half of the circle (x – 5)2 + (y – 4)2 = 9 and the line segment between (2, 4) and (8,4).
(1 point) Math 215 Homework homework7, Problem 2 Evaluate the integral Se *v5x? + 5y da JJR where the region R is given by the figure with a = 5 and c = 4. (Assume the curved boundary of the figure is circular with center at the origin.) SUR À V5x2 + 5y2 dA =
Evaluate the definite integral so ( esc doc
1. Determine whether the integral So* +2dæ is convergent or divergent. Evaluate the integral if it is convergent.
5. Evaluate the integral sec" x dr. 6. Evaluate the integral I 2 dx X3 V x2 – 1 >1. 7. Evaluate the integral dc I VAI 8. Evaluate the integral 19 - 22 dc. .x2
Problem 1 Evaluate J j (sin () (Hint: change the order of integration and combine into one integral) drdy (sin( drdy
6. Use Simpson's Rule to evaluate (sin(e" )dx with n = 4 [10pts) (a) Write the first step in the evaluation equation. (b) Write the answer to 6 dec. places.