Let f(x)=
if ,
if
if
a) What is the fomain of f(x)? Write in interval notation.
b) Determine the y-intercept of the function, if any. Make sure to justify your answer.
c) Determine the x-intercepts of the function, if any. Justify your answer.
Let f(x)= if , if if a) What is the fomain of f(x)? Write in interval...
Let X be a banach space such that X= C([a,b]) where - ab+ with the sup norm. Let x and f X. Show that the non linear integral equation u(x) = (sin u(y) dy + f(x) ) has a solution u X. (the integral is from a to b). We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe...
If f(x) = What is the value of f(4,7)? Explain and show your answers. We were unable to transcribe this imageS (when) << < 1) f (x - 1) (whenx > 1)
Can you find a differentiable function f(x) defined on the interval [0, 3] such that , and for all x ∈ [0, 3]? Justify your answer (do not write only Yes or No, but explain your answer). We were unable to transcribe this imageWe were unable to transcribe this imagef'(x) <1
Evaluate the flux F across the positively oriented surface S where and S is the boundary of We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
A probability density function f of a continuous random variable x satisfies all of the following conditions except a) b) c) For any a,b with , P() = d) The mean and variance of a probability density function f are both finite We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Calculate the work done by the vector field F(x,y)=4xy, 2x2 along a smooth, simple curve from point (3, −1) to point (4, 2) We were unable to transcribe this imageWe were unable to transcribe this image
Prove, or give a counter example to disprove the following statements. a) b) We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
Suppose that is a bounded function with following Lower and Upper Integrals: and a) Prove that for every , there exists a partition of such that the difference between the upper and lower sums satisfies . b) Furthermore, does there have to be a subdivision such that . Either prove it or find a counterexample and show to the contrary. We were unable to transcribe this imageWe were unable to transcribe this image2014 We were unable to transcribe this...
Let and consider the domain (an open rectangle). Find the maximum of on as well as the -value(s) at which attains this maximum value. We were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this imageWe were unable to transcribe this image
find the Laplace Transform of f(t) = t2 - 3t, where f has a period 3, for 0 We were unable to transcribe this image(c) L[f(t)] where f has period 3, f(t) = 12 - 3t for 0 st <3