RDashboard TP Ho : Proble 5 is a graph off(x) 0 5 What is the average value of f(x) on 0 3x 3 2? ...
Problem #5: The graph off is given to the right. 3 Let g(x) = sod. 2 v=f(x) 1 -3 -2 1 -1 0 -1 X -2 (a) Find g(3). (b) Find g'(-2). (c) Find g"(1). (d) On what interval is g decreasing?
The graph of f is shown to the right. The function F(x) is
defined by
for .
a) Find F(0) and F(3).
b) Find F'(1).
c) For what value of x does F(x) have its maximum value? What is
this maximum value?
d) Sketch a possible graph of F. Do not attempt to find a
formula for F. (You could, but it is more work than necessary.)
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What is the average value of the function f(x)=e^3x on the interval [0, ln(2)]?
The graph of f is shown to the right. The function F(z) is defined by F(z) = f f(t) dt for 0 x 4. a) Find F(0) and F(3). 2 b) Find F (1). c) For what value of z does F(z) have its maximum value? What is this maximum value? d) Sketch a possible graph of F. Do not attempt to find a formula for F. (You could, but it is more work than neces- sary.) -1
The graph...
Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
Find the average value of the function f(x) =x2-5 from x = 0 to x=3. The average value of the function f(x)=x2-5 from x = 0 to x = 3 is □
The graph of f(x) is below. What is f(-3)? 2)
The graph of f(x) is below. What is f(-3)? 2)
Problem 2. (1 point) Let F(x) = ss flodt, where f(t) is the graph in the figure. Find each of the following: A. F(2) = 0 B. F'(5) = 3 6 7 C. The interval (with endpoints given to the nearest 0.25) wfſero F is concave down: Interval (1.25,6) (Give your answer as an interval or a list of intervals, e.g. (-infinity,8] or (1,5),(7,10), or enter none for no intervals.) D. The value of x where F takes its maximum...
6. For f(x) = 2 + tan for-360° SXS 360°. (a) For what values are there asymptotes? (b) Write down (i) the period of the function; (ii) the value off (90°). (e) Solve f (x) = 0 for -360° SXS 360°. 4. Let (c) - cos (2x + 2), 0 S IS A. Sketch the curve of y=f(x) on the grid below. os | 15 1 25 35 The following graph shows the depth of water, y metres, at a...
=3. (2 points) Let f(x) dx (a) What is the average value of f(x) on the interval from x = 0 to x = 4? average value - (b) If f(x) is even, find each of the following: 1-4 f(x) dx = the average of f(x) on the interval x--4 to x 4 = (c) If f(x) is odd, find each of the following: 1-4 f(x) dx = the average of f(x) on the interval x =-4 to x =...
Piecewise Functions Graph: f(x) = x +5 if x 21 if x< 1 Calculate: 11) f(1) = 12) f(-3) = 13) f(2)= Functions: 1) Find g(2)= 1963 2) Find x-intercepts 3) Find y intercept 4) Find Domain of g 5) Find Range of g 6) For what value of x is g(x) = 0? 7) For what value of x is g(x) = 2? 8) Interval where g is decreasing - 9) Relative Maximum Point