is this correct? Use the definition of a one-to-one function to determine if the function is...
[ 10 pts.] 9. Use the alternative limit definition of derivative to determine whether the function 8sinh(x/2) ifx<2 f(x)= is differentiable or not differentiable at 2x²+x-1 if x2 x=c=2 Show all work !!!
USE DEFINITION 1 TO DETERMINE THE LAPLACE TRANSFORM OF THE FOLLOWING FUNCTION. f(t)= e sin(t) Laplace Transform Definition 1. Let f(t)be a function on [0,00). The Laplace transform of f is the function defined by the integral The domain of F(s) is all the values of " for which the integral in (1) exists.' The Laplace transform of fis denoted by both and ${/}. QUESTION 2. (3PTS) USE TABLE 7.1 AND 7.2 TO DETERMINE THE LAPLACE TRANSFORM OF THE GIVEN...
determine the value of k such that g(x)=3x+k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one pointdetermine the value(s) of k such that the linear function g(x)=4x+k does not intersect the parabola f(x)=-3x^2-x+4
Write the function prototype and the definition of a function call "oddoreven" that determine if an integer value is ODD or EVEN. The function will return a string containing that message. Use only ONE function! As an example if an integer value of 20 was passed to that function then the function will return "20 is an Even Number." if an integer value of 35 was passed to that function then the function will return "35 is an Odd Number."
Use the limit definition of partial derivatives to compute the partial derivative of the function f(x,y) = 2 - 2x + 5y - 3x?y at a point (3.4). a. Find f (3.4). b. Find f (3.4). f|(3.4)=0 (Simplify your answer.) 13(3.4)=0 (Simplify your answer.)
Use the definition of continuity to determine whether f is continuous at a x2 - 169 f(x) = if x #13 4 if x = 13 a = 13 The function | at 13 is continuous is not continuous
State the definition of “f(x) is O(g(x))” and use the definition to show that x 2 + 3x is O(x 3 ). Please show as much work as possible. Thanks.
1) Use the definition of continuity and the property of limits to show that the function is continuous at x² + 5x the given number a. a = 2 2x+1
10. Use the limit definition of the derivative to calculate the derivatives of the following functions. a. f(x) = 2x2 – 3x + 4 b. g(x) = = x2 +1 1 x2 +1 c. h(x) = 3x - 2 a. 11. Find the derivative with respect to x. x² - 4x f(x)= b. y = sec v c. 5x2 – 2xy + 7y2 = 0 1+cos x 1-cosx cos(Inu) e. S(x) = du 1+1 + + f. y =sin(x+y) g....
h h-0 f(x +h) – f(x) a. For the following function, find f using the definition f'(x) = lim b. Determine an equation of the line tangent to the graph off at (a,f(a)) for the given value of a. f(x) = (3x +7, a = 6