The graph of f is shown below. Find each of the following:
The graph of f is shown below. Find each of the following: ДА 9 10 11...
if you could please evaluate each of the following integrals that would be great! Thank you in advance! ДА 9 10 11 12 13 14 15 15 a) | 4e** f(e?*)dx ja b) [2]5(-x+1) di c) [°50f(3x² +1)dx + d) 3f (2 cos(4x)+1) .dk csc(4x) (Vx √x - dx f) s f (5 tan(3x)) - dx cos? (3x) +1+ 12
i need help evaluating each of the integrals! thank you in advance! n 9 10 11 12 13 14 15 t? f (2x® – 1)dx b) $\(5x – 7)da c) | 5e?* f(et)dx 0 d) f (5 sec(3x)) tan(3x) - dx cos(3x) (Vx :-1) dx 1 f (6sin(2x)) - dx sec(2x) 12
11. (5 points each) Find the derivative of each function. DO NOT simplify your answers. cos(x) a) f(x) = 1-tan(x) b) f(x) – tan-" (4x²) dy 12. Consider the equation x² + xy + y² = 1. Find an expression for by implicit differentiation. dx
10. Rewrite the following expressions with exponents no greater than 1: A. sin? 2 B. cost 11. Let cos(20) 3 4 Find tan’ a sin 12. Graph two periods of the trigonometric functions: A. f(0) = 3 tan (20 – 5). B. g(x) = – cot(.x+7) C. f(x) = 2 sec(47x) + 3 D. g(0) = 5 csc -7 13. Identify the visible asymptotes for each of the graphs in question 12. 14. Write a formula to find ALL asymptotes...
11. The graph of fis shown. Determine the value of f (x)dx= y = f(x) - X 16 32 48 64 1 12. Consider the definite integral s sin(tw) dw. What is the interval of integration for this integral? What is the variable of integration? What is the integrand? 13. Suppose that f* f(x) dx = 5, ſ. f(x)dx = -3, * g(x)dx = -1 and 1 g(x)dx = 7. Determine the value of each integral. Box Answer (5) $(x)+...
11. Let cos(20) = 3 4 Find tan sinx. Graph two periods of the trigonometric functions: A. f(0) = 3 tan (20 B. 9(x) = - cot(+7) C. f(x) = 2 sec(47 2') +3 (20 - 3) D. 9) = 5 csc (6) - -7 3. Identify the visible asymptotes for each of the graphs in question 12. 4. Write a formula to find ALL asymptotes for each of the graphs in question 12.
cos'x dx sin 3x dx 2. an 45 sin cos'xdx 4 sin'xcos'x dr 44 sin'x cos'r dr 6. sin'xcosx dx 8. Jo sin'x cosx dx fa-sin 2x)' dx sin x + cos x dx 10. 9 f sin'z dx cos'x sin'x d 12. 11 sin'x Vcosx dx 14. 13. cot'r sin'x dx 16. cos'x tan'xdx 15 dx sin x dx 18. 17 1-sin x cos x tan'x dx 20. tanx dx 19 sec'x d sec'x dx 22. 21 tan'x secxdx...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
5. Suppose that the line tangent to the graph of y = f(x) at x = 3 passes through the points (-2,3) and (4, -1). What is the equation of the line tangent to f(x) at x = 3? (1) y=x+ (3) y = -x +5 (1) y= {x +3 (2) y 6. Let f(x) = 7 sin(x + 7) + cos2x. Compute f(13)(O). (1) 8 (2) 7 (3) -8 (1) -7 ----- 7. Differentiate f(x) - 1.6+3 Vã+1 (1)...
2. 10 23 x · [In(x)]2 Jg x+2 In Problems 1-26, evaluate each improper integral, or show why it diverges. po 1 5 1. dx dx 2 3. dx 4. dx 13 1 + x2 5 X 5. dx 6. dx x. In(x) Jo 1 + x2 1 7 dx 8. dx -2 J3 (x - 2)2 1 1 9. dx 10. dx (x - 2) 1 11. dx 12. dx J3 (x+2)3 14 1 1 13. dx 14. dx...