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CALCULUS EARLY TRANSCENDENTALS W/ WILE
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- Suppose that the functions q and r are defined as follows. q (x) = x²+7 r(x) = /x+8 Find the following. (a • r)(!) = 0 (r • 9)(1) = 0 ? %3!arrow_forwardIf f be the function defined by f (x) = x³ + x. If g (x) = f-¹ (x) and g (2) is the value of g' (2)? O 1 13 4 TH 1 = 1, whatarrow_forward10)arrow_forward
- (23 11) dx (x+2)* (x-1)* 4arrow_forwardIf a function h satisfies h(-x) = h(x) for every number x in its domain, then h is called an even function. If h satisfies h(-x) = -h(x) for every number x in its domain, then h is called an odd function. Suppose that sh(x) dx = Answer the following: −1 and ſ³ h(x)dx = 2 -3 A. Suppose that h is an even function. Evaluate ſ³, h(x)dx. B. Suppose that h is an odd function. Evaluate ſ³, h(x)dx. C. Evaluate (2h(x) + 1)dx. D. Evaluate fh(x + 1)dx.arrow_forwarde. f(x) = 2* OA. O(x²) OB. 2(x²) Oc. 0(x²) f. f(x) = [x][x] (floor of x times ceiling of x) OA. O(x2) OB. O(x²) Oc. 2(x²) C. Q(x²)arrow_forward
- (3a) Show that the formula in the Mean-Value Theorem can be written as follows: f(x+h)-f(x) h = f'(x+0h) = where 0 € (0, 1). (b) Determine as a function of r and h when f(x) = 1².arrow_forwardSuppose that F"(x) O... 8+4ln(3/5) = O = = 16+4ln(5/3) O = 8+2ln(3/5) ... O... 16ln(5/3) = ... = X x² 2 Then F(7) F(5) = -arrow_forward(5) Let f(x) = 5x² + f (x) ≥ 28 for all x > 0. for x > 0, where A is a positive constant. Find the smallest A such that I5arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage