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Changing order of
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Calculus: Early Transcendentals (2nd Edition)
- A 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_forwardEvaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x dx Vx2 + 16 Step 1 2x To find the definite integral Vx + dx, apply the basic integration rule. + 16 Let u = x² + 16. Differentiate u in terms of x, du = A 2 x dx. Step 2 Rewrite the integration in terms of u. 2x x = 3 du V x2 + 16 = xp Step 3 Apply the power rule of integration. rx = 3 x = 3 du = du +1 1x = 3 +1Jo 1x = 3arrow_forwardFind the area of the region enclosed by the two functions y = 3x² and y = x² + 2. 1.0 1,0 -5 Area =arrow_forward
- Set up an integral for the area of the shaded region. Evaluate the integral to find the area of the shaded region. y 3- 2 x = y -7 y = 1 X = e -8 -6 -4 -2 2 4 y = -1 -2 -31arrow_forwardFind the area of the region enclosed by the two functions y 7x2 and y = a2 + 6. -5 1,0arrow_forwardEvaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x x² + 16 xp Step 1 2x To find the definite integral Vx² + dx, apply the basic integration rule. Let u = x² + 16. Differentiate u in terms of x, du = 2 x dx. Step 2 Rewrite the integration in terms of u. 2x dx = du x² + 16arrow_forward
- ament 22 - Integration by Parts K www.aviatormast... Evaluate using integration by parts or substitution. Check by differentiating. (5x²-2x) ex dx [(5x²-2x) e 7x dx =arrow_forwardCurrent Attempt in Progress Evaluate the integral using tabular integration by parts. V2 x +1 dx %3D +Carrow_forwardUse double integration to find the area of the region enclosed by the graphs of y = x² - 16 and y = 16 - x². (Give an exact answer. Use symbolic notation and fractions where needed.) A = square unitsarrow_forward
- Evaluate the definite integral. Use the integration capabilities of a graphing utility to verify your result. 2x dx x2 + 16 Step 1 2x To find the definite integral dx, apply the basic integration rule. + 16 Let u = x2 + 16. Differentiate u in terms of x, du = 2 2 x dx. Step 2 Rewrite the integration in terms of u. 2x du dx = V x2 + 16arrow_forwardThe figure below shows the integration area of the integral. Write the integration form that is similar to the integral form in the figure with the order of integration... Please Answer max 30 minutes im very neededarrow_forwardInterchange the order of integration of the following integral (DO NOT EVALUATE). So St ex³ dz dyarrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,