![for fax) dx bra a far I (2-3)*dk 5 Ź ( a-373 3 2 * 6-2)-(2-9° ] - [ 8-1-1)] = { far = 1 f(x) = (2-3)? fcc2= (C-3)² fav (C-3)?](http://img.homeworklib.com/questions/ff228fa0-fbe7-11ea-90e1-dfdef565c986.png?x-oss-process=image/resize,w_560)
aulage Value on The function of defuse by fca) = (x-3), [2,5) B, fuest c Soun...
Suppose that f(x) is a continuous function on (2,7), positive on (2,5) and negative on (5,7) If f(x) dx = 3, then find If(x) dar. () dx = 11 and Ś "S" ) dr = = -3, Ls =) dr = 5, (b) Suppose that f is an even and integrable function. If then find Lºs(z) dr.
If 3.80 fig: [a,b] → R 2 Alonspiciens differentiable functions and we suppose Fca) = f(b) =. The wronskien of these a functions is the function TW Cf. g): [a, b] R defined by wCfg) () = det (FX) 906) -F68) g'(x)=9(x)}f'(X) (f'(x) g(x)) If W (f, g) (x) #0 for all x E [a,b], show that it exist a c E Ca,b) such that g (c) = 0.
Find the average value of f over the given rectangle. f(x,y) =4x2y, R has vertices (-2,0),(-2,5),(2,5),(2,0).
(1 point) Evaluate the function at the specified points. f(x, y) = y + xy?,(-2,-1), (2,5),(-4,-4)| At (-2, -1) At (2,5) At (-4,-4)
6. Consider the pdf of the Uniform distribution. 5(8:2,5) = {B=A 1 A<x<B f(x; A,B) = B-A otherwise We computed the expected value in class on 11/7/2019. Find the variance of the Uniform distribution. Simplify as much as possible. Hint: B3 – A3 = (B – A)(B2 + AB + A2)
9(10pt). Determine the value of a and b that make the function f(x) 2-3 if x < -3, x? + ax - 6 if -3 <r <2, ba - 6 ifr > 2 continuous on (-00,00) I
The probability density function of a continuous random variable is given by otherwisexc x xf x03 2 30.2 0 2( )Find:a) the value of c.b) E(x)c) E(7 2x)
Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? Give reasons for your answer. f(x) = x8/9:[-2,5) Choose the correct answer below. O A. Yes, f(x) is continuous for every point of (-2,5) and differentiable for every point in (-2,5). O B. No, f(x) is differentiable for every point in (-2,5) but is not continuous for every point of [-2,5). OC. Yes, f(x) is continuous for every point of (-2,5) and differentiable for every...
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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calc 3
7) Fundamental Theorem of Line Integrals. a) Show that the vector field, F(x,y) = (2x - 2)i - 23e2v j, is conservative. b) Find a potential function for F. c) Evaluate F. dr if C is the path connecting the three line segments from (1,0) to (2,5) then from (2,5) to (-2,5) and finally from (-2,5) to (-1,0).