1.8 pts D Question 5 Referring to the graph shown, rank the following quantities: f(x)da, L-f(x)dx,...
If Si f(x)da = 12 and so f(x) = 2.8, find si f(x)dx. Question 2 1 pts Let f(x)dx = 6, S. 8(x)dx = -4, S g(x)da = 12, g(x)dx = 9 Use these values to evaluate the given definite integral: (+1) da
d f(g(x) dx Referring to the plots of f(x) and g(x) below, calculate: Afrac{d}{dx}f(g(x))\Big|_{x=5} 20 f(x) 15 10 5 15 0 5 10 20 20 15 10 g(x) 0 0 10 15 20 \frac{1}{2} 5 1 O-1 O15 |위의의
d f(g(x) dx
Referring to the plots of f(x) and g(x) below, calculate: Afrac{d}{dx}f(g(x))\Big|_{x=5} 20 f(x) 15 10 5 15 0 5 10 20
20 15 10 g(x) 0 0 10 15 20 \frac{1}{2} 5 1 O-1 O15 |위의의
Question 17 5 pts Suppose f(x) = [Vť – 5t + 6.25 dt. For which positive value of x, does f'(x) equal O? 0 O 2.5 There is no such value of x. V2.5 O 1 Question 16 5 pts Use the Fundamental Theorem of Calculus to find the derivative, f'(x), of va t2 f(x) = S. dt. 4+ 3t4 1 x2 4 + 3x4 х 4 + 3x2 a 4 + 3x2 2 (4 + 3x2) -C 2+(4+ 3x2)...
8 AY 10- Compute the following estimate of Sf(x) dx using 8- y=f(x) the graph in the figure. 6- T(4) 4- 2- X 0 0 2 4 6 00- 10 Using the Trapezoidal Rule, T(4) = (Type an integer or a simplified fraction.)
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)+...
7.7 EXERCISES 1. Let 1-(x) dx, where f is the function whose graph is shown. (a) Use the graph to find L2,R2, and M2 (b) Are these underestimates or overestimates of 1? (c) Use the graph to find T2. How does it compare with /? (d) For any value of n, list the numbers .L. R, M. T, and I in increasing order 0 1 2 34x
7.7 EXERCISES 1. Let 1-(x) dx, where f is the function whose graph...
a. 8.2 Suppose that S* f(x) dx = 6, 5+ g(x) dx = 4, and Sf(x) dx = 2. Evaluate the following integrals: - Sa 2f(x) dx (2 Marks) S*(3f(x) - 29(x)) dx (2 Marks) S* f(x)g(x) dx (2 Marks) SIC) dx (2 Marks) C. d. g(x) Sub Total 20 Marksl
1. (2 pts each) The graph of some unknown function f is given below. 10 6/ 8-64-2 624 10 12 Use the graph to estimate the following quantities: (0 f (9) (g) f(4) b) lim (a) lim (e) (d) lim ( 6) (e) lim f(x) (c) lim f(x) if g(x)f(x) 6) a value of r where f is continuous but not differentiable (k) a value of r where f"(x) 0 and f"(x)>0 (1) the location of a relative maximum value...
This Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (a) Find f(-14) and f(-6). (-6,6) 8 (12.4) 4 (-12.0) (TO) f(-14) = f(-6)= A (0-2) (8,0) 1-14.-4) (b) is f(4) positive or negative? -8 is Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (-6,6) 8 (12.4) 4 (c) Is f(-4)...
Question 1 1 pts If f(x)dx = 10 and Să f(x) = 3.6, find si f(x)dx. 6.4 Question 2 1 pts Let Só f(x)dx = 6, Sº f(x)dx = -4, So g(x)dx = 12, S g(x)dx = 9 Use these values to evaluate the given definite integral: Si (35(x) + 2g(x))dx —