How to solve it? Let F =< -2, x, y2 >. Find S Ss curlF.nds, where S is the paraboloid z = x2 + y?, OSz54.
Find indicated quantity if it exists. La x + 3 if x < -2 54. Let f(x) Find IVx+ 2 if x > -2 (A) lim+ f(x) (B) lim-f(x) (C) lim, f(x) (D) f(-2) x-27
Use the Mean Value Theorem to demonstrate that In(1 + x) < x, given that x > 0.
Suppose f is continuous, f(0)=0, f(2)=2, f'(x)>0 and f (x) dx = 1. Find the value of the integral fro f-?(x) dx =?
2. For f(x) = f(x) = $2x+5, Xs1 14 + 3x, x>1 a. Find f (1) b. Find lim f(x) X1 C. Is f(x) continuous? Why, or why not?
Let f (2) be defined by: k-?, <<-1 f(3) = z? +, -1<x<1 - kr1 Which of the following values of k would make f (2) continuous on R? Ok=0 There is no such value for k Ok= -1 Ok= 1
If a quantity y satisfies the differential equation dy = kx(10-y), k>0 dx. when X = 2 and y = -7, the graph of yir increasing decreasing constant cannot be determined
Q1 Question 1 2 Points Find the inverse of f-1 of the function f(x) =1+1, 2 > 0. of'() = -1 of '(x) = -1 of '(x) = Of-l does not exist
Let f and g be differentiable on R such that f(1) = g(1), and f'(x) < '() for all r ER. Prove that f(x) = g(2) for 3 >1.
Find the constant a such that the function is continuous on the entire real line. f(x) = [ 5x2, x 21 ax - 5, x < 1 a =