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45–50 Sketch the region of
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- Find the constant of proportionality. z is directly proportional to the sum of x and y. If x=2 and y=5, then z=28.arrow_forwardA soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in inches. a. Using the fact that the volume of the can is 25 cubic inches, express h in terms of x. b. Express the total surface area S of the can in terms of x.arrow_forwardEvalule the Integral -3x dz |arrow_forward
- Solution the question in 45mintarrow_forwardUsing the method of u-substitution, Se (6x - 8) dx = = [₁ f where U= du = a= b= f(u) = f(u) du (enter a function of x) da (enter a function of x) (enter a number) (enter a number) (enter a function of u). The value of the original integral is Note: You can earn full credit if the last answer box is correct and all other answer boxes are either blank or correct. Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining. Email Instructorarrow_forwardPLS SHOW COMPLETE SOLUTION AND WRITE PROPERLY and use this format in writing the solution: ∫udv=uv-∫vdu USE THE LIATE RULE Show the value of u,v, du and dvarrow_forward
- SOLVE STEP BY STEP IN DIGITAL FORMAT Apply Green's theorem to obtain the result of the line integral - (7x²y — 4x)dy + (8xy³ − x²y ) dx - The integral starts at the origin so the value of y=0. Then it gets to the point (7,0) and moves to (7,4), so the value of x=7. Then it goes from the point (7,4) to the point (0,4) to the initial point (0,0), being in that last part x=0. That is, the limits of x will be from 0 to 7 and the limits of y will be from 0 to 4.arrow_forwardApplications of integration: area under curvesarrow_forwardUse cylindrical coordinates to solve the integral. Sketch the graph of the region of integration. 25-y2 -5-x x2+ y²dzdxdy 0.arrow_forward
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