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Name: (15 pts) Consider the function f (x) whose first derivative is...
Name: (15 pts) Consider the function f(x) whose first derivative is f'(x) = 10x + 8...
Name: (15 pts) Consider the function f(x) whose first derivative is f'(x) = 10x + 8 sec(x) tan(x). If f(0) = 3, what is f(x)?
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d)...
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina
5pt 1. Let g() = | f(t) dt, where f is the function whose graph is...
5pt 1. Let g() = | f(t) dt, where f is the function whose graph is shown below on the interval [0, 5). The graph consists of two straight line segments. - - - ------ -1- - - - - - --1- - -1- - - - - - - (a) Find g(1) and g(3). (b) On what interval(s) is g(x) decreasing? (c) At what x-value(s) in (0,5) does the local maximum of g occur? (d) At what x-value(s) in...
How do you do this problem? 3. Let h be a function whose first derivative is...
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3. Let h be a function whose first derivative is h/(x) = S:* 3(In( + 3))? dt. For 6 < x < 12, which of the following is true? Oh is increasing and the graph of his concave down. Oh is increasing and the graph of h is concave up. Oh is decreasing and the graph of h is concave down. 0 h is decreasing and the graph of h is concave up. Oh...
Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown...
Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown in the figure. Estimate g(0.8(2), 8(4), 8(6), and g(8). s 2 Sketch a rough graph of g.
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5)...
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5) 9(6) ) g(6)- (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
6: Problem 1 Previous Problem Problem List Next Problem (2 points) Let f(x) = z* In(t)dt...
6: Problem 1 Previous Problem Problem List Next Problem (2 points) Let f(x) = z* In(t)dt (a) Evaluate f'(10) = (b) Evaluate (8-1)'(0) = 6: Problem 27 Problem List (1 point) Evaluate the integral p T/3 -9 In(tan(x)), 57/4 sin(x) cos(x) 6: Problem 29 Previous Problem Problem List Next Problem (1 point) Find the area of the region enclosed between f(x) = x2 – 3x + 8 and g(x) = 2x2 – x. Area = (Note: The graph above represents...
8. Consider the function f whose graph consists of four line segments and a semicircle as...
8. Consider the function f whose graph consists of four line segments and a semicircle as shown below. Define g(x) by g(x) = 5 f(t)dt. Note: The graph is of the function f. The graph of g is NOT shown to you. a) Find all values of x with –5 < x < 5 for which g'(x) = 0. Explain your reasoning. b) Find g(-1) and g"(-1). Show the work that leads to your answers. c) Find all values of...
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpo...
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g.
Let gx)- t) dt, where f is the function whose graph...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b)...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
Name: (15 pts) Consider the function f(x) whose first derivative is f'(x) = 10x + 8 sec(x) tan(x). If f(0) = 3, what is f(x)?
Q2) Find the derivative of each function a) f(1) = b) f(x) sin 1COSI 1+008 d) f(x) = (1 + x)'(1 - x)2 1 e) f(1) = 2009 1672 f). f() = ln(sec 0 + tan ) B): S(21) = 1n () h) y = (In(ax)? g(x) = ln(2.3 - 3x + 2) i) c) f(x) = sina
5pt 1. Let g() = | f(t) dt, where f is the function whose graph is shown below on the interval [0, 5). The graph consists of two straight line segments. - - - ------ -1- - - - - - --1- - -1- - - - - - - (a) Find g(1) and g(3). (b) On what interval(s) is g(x) decreasing? (c) At what x-value(s) in (0,5) does the local maximum of g occur? (d) At what x-value(s) in...
How
do you do this problem?
3. Let h be a function whose first derivative is h/(x) = S:* 3(In( + 3))? dt. For 6 < x < 12, which of the following is true? Oh is increasing and the graph of his concave down. Oh is increasing and the graph of h is concave up. Oh is decreasing and the graph of h is concave down. 0 h is decreasing and the graph of h is concave up. Oh...
Problem 12: Let g(x) = Sof) dt, where f is the function whose graph is shown in the figure. Estimate g(0.8(2), 8(4), 8(6), and g(8). s 2 Sketch a rough graph of g.
0.09/1 points Previous Answers SCalcET8 5.3.002. Let g(x)-f(t) dt, where f is the function whose graph is shown (a) Evaluate g(x) for x 0, 1, 2, 3, 4, 5, and 6 g(0)0 9(2)-8 g(3)-( 20 9(4)- 9(5) 9(6) ) g(6)- (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimum x= maximum x= (d) Sketch a rough graph of g. 7 83 gtx ry again....
6: Problem 1 Previous Problem Problem List Next Problem (2 points) Let f(x) = z* In(t)dt (a) Evaluate f'(10) = (b) Evaluate (8-1)'(0) = 6: Problem 27 Problem List (1 point) Evaluate the integral p T/3 -9 In(tan(x)), 57/4 sin(x) cos(x) 6: Problem 29 Previous Problem Problem List Next Problem (1 point) Find the area of the region enclosed between f(x) = x2 – 3x + 8 and g(x) = 2x2 – x. Area = (Note: The graph above represents...
8. Consider the function f whose graph consists of four line segments and a semicircle as shown below. Define g(x) by g(x) = 5 f(t)dt. Note: The graph is of the function f. The graph of g is NOT shown to you. a) Find all values of x with –5 < x < 5 for which g'(x) = 0. Explain your reasoning. b) Find g(-1) and g"(-1). Show the work that leads to your answers. c) Find all values of...
Let gx)- t) dt, where f is the function whose graph is shown (a) Evaluate gtx) for x - 0, 1, 2, 3, 4, 5, and 6 gt1)-1/2 0t2)-0 g(3) - -1/2 ot4)-0 9(5)-3/2 9(6)-4 (b) Estimate g(7). (Use the midpoint to get the most precise estimate.) 9(7)- (c) Where does g have a maximum and a minimum value? minimumx maximum x (d) Sketch a rough graph of g.
Let gx)- t) dt, where f is the function whose graph...
6. Consider the function f(x) = x3 - 10x (a) (3 pts) Find f '(x) (b) (9 pts.) Find the intervals where f(x) is increasing/decreasing, and classify any local max/min. (c) (3 pts) Find f '(x) (d) (9 pts.) Find the intervals where f(x) is concave up/down and classify any inflection points. Using the information from parts a-d only, sketch the graph of y=f(x).
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