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Approximating Arc Length or Surface Area In Exercises 65-68, write the definite integral for finding the indicated arc length or surface area. Then use the
integral in Section 8.8.)
Astroid Find the area of the surface formed by revolving the portion in the first quadrant of the graph of
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Chapter 7 Solutions
Bundle: Calculus, 10th + WebAssign Printed Access Card for Larson/Edwards' Calculus, 10th Edition, Multi-Term
- 1 L'Ina (ln x) 2020 dx 0arrow_forwardxp x+xarrow_forwardFor the given graph, determine the following. -3 12 УА 4 3 - -1 ° 1 2 3 x -1. -2- a. Determine for which values of a the lim f (x) exists but f is not continuous at x = a. a b. Determine for which values of a the function is continuous but not differentiable at x = a. aarrow_forward
- Use the following graph of ƒ (x) to evaluate ƒ' (−1) and ƒ' (2). y +10+ 9 8 7 6 5 4 3 2 1- -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 x 3 4 0 8 9 10 -2 3 -4 5 -6 -7 -8 -9 -10- f'(-1)= f' (2)arrow_forwardFor the following function f and real number a, a. find the slope of the tangent line mtan = = f' (a), and b. find the equation of the tangent line to f at x = a. f(x) = 2 = ;a=2 a. Slope: b. Equation of tangent line: yarrow_forwardFor the following function f and real number a, a. find the slope of the tangent line mtan = f' (a), and b. find the equation of the tangent line to f at x = a. f(x) = 2x² + 3x; a = 2 a. Slope: b. Equation of tangent line: yarrow_forward
- For the following function f and real number a, find f' (a). f(x) = = √x+4; a = 0 f' (a)arrow_forwardFind the slope of the secant line between the values x₁ and x2 for the function y = f (x). Answer exactly or round to 2 decimal places. f(x) = √√x x7; x₁ = 11, x2 = 23 Slope:arrow_forwardFor the following function f and real number a, find f' (a). f(x)=8x+6; a = −3 f' (a)arrow_forward
- Find the slope of the secant line between the values 1 and 2 for the function y = f(x). Answer exactly or round to 2 decimal places. 2 f(x)= ; = x12, x24 2, x2 = 4 2x 1 Slope: Submit Questionarrow_forwardanswer a, b, and carrow_forwardA population of muffles (a feathery species unrelated to tribbles) begins with 30 animals and has 100 animals after 36 hours.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:CengageHolt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGAL
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