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Calculus: Early Transcendentals (3rd Edition)
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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_forwardNonearrow_forwardOriginal Integral Rewrite Integrate Simplify 9. dx 9. dx 9. + C (4x)5 1024 1024arrow_forward
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- IV-Solve by completing the table. x+3 1. f(x) = 2. f(x) = x-5 1. x-int. y-int. 2. x-int. y-int. zeros zeros VA VA x²-6 3x³+5 HA HAarrow_forwardAssessment Technique: Direction: Evaluate the following integrals. 1. S( 30x5 + 25x3 20x4 dx 3 4 8x5 2. S 15 dx 5 12x3 15 12 3. S 3arrow_forwardSketch the region whose area is represented by the definite integral. y 6 1.2 1.2 1.0 1.0 4 0.8 0.8 0.6 3 0.6 0.4 0.4 0.2 0.2 1 0.2 0.4 0.6 0.8 1.0 1.2 4 5arrow_forward
- SOLVE STEP BY STEP IN DIGITAL FORMAT ATTENTION: Observe carefully the data that is provided to you Calculate the following integrals step by step *+2x+4x²) dx f(x + 1 (x + 1)(x² + 2x)7 dxarrow_forwardPlease tell me the answer and show me the work to get the answerarrow_forwardIntegration Evaluate the following integrals.arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage Learning
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