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- A soda can is made from 40 square inches of aluminum. Let x denote the radius of the top of the can, and let h denote the height, both in inches. a. Express the total surface area S of the can, using x and h. Note: The total surface area is the area of the top plus the area of the bottom plus the area of the cylinder. b. Using the fact that the total area is 40 square inches, express h in terms of x. c. Express the volume V of the can in terms of x.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_forwardplease answer in proper writing thank youarrow_forward
- Instructions: Calculate the definite integral of: (Image) I will be grateful for your help :)arrow_forwardQ9Use derivative ways If you write by hand, please write the characters and numbers clearly. It is recommended to use a machine to input mathematical formulasarrow_forwardSolve all parts pleasearrow_forward
- ed at 10:08 PM Q2 Let a be a positive constant. Use geometry and properties of integrals to evaluate exactly [² (√₁² = 1² + \a + 3t| + a) dt. -a Q3 Let f be a function defined by the graph below. In addition, suppose 6 So f(x) dx -a for a positive constant a. Fill in the blanks. Select the not need to show your work. simplify.arrow_forwardIntegration by Algebraic SubstitutionEvaluate the following Integrals using Trigonometric Substitution. Show the full solution.arrow_forwardanswer needed asaparrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
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