GIVEN THE FUNCTION
F(x)= x2-16 / x-4 , x ≠ 4
7 , x=4
ESTABLISH IF IT IS CONTINUOUS IN X=4
GIVEN THE FUNCTION F(x)= x2-16 / x-4 , x ≠ 4 7 , x=4 ESTABLISH IF...
Evaluate the function f(x) = x2 - 8x - 7 at the given values of the independent variable and simplify. a. f(6) b. f(x +9) c. f(-x) a. f(6)= (Simplify your answer.)
Given the quadratic function: y = f (x) = x2 + 6x + 7 Write the given function in standard form, f (x) = a(x – h )2 + k , by completing the square. (You must show your work to receive credit.)
1(a) Given that f(x,y) = 6x²y3 – cosx + 5y - siny + 10x, establish the fact that, the order in which the mixed partials derivatives are taken is immaterial. AN [2] = (b) (i)Find the continuous function whose Laplace Transform is 3 F(p) AP [7] P(p2+4) (ii) Determine [-*[0-3]2+26] AP [2] (P-3)2 +16 (c) Find the solution of the IVP; 2y" - y' – 3y = 4x+ex y(0)=-1. y'(0) = -2 AN [9]
6. Given the following function -x-1,if x <-1 f(x) = {x2 - 1,1f-1sxS1 x+1, if x>1 e. Plot the function f(x) f. What is the maximum set on the real numbers where f is continuous ? Explain your answer. g. Is f is continuous at x = -1? If your answer is yes, then prove it by the definition of continuity. If it's no then explain clearly why?
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
Find an equation for the tangent line to the graph of the given function at (4,23). f(x)=x2+7 Find an equation for the tangent line to the graph of f(x)-x+7at (4,23) y =
+ 6/7 points Previous Answers ColAlg7 3.1.009. A quadratic function f is given. f(x) = x2 - 2x + 6 (a) Express fin standard form. f(x) = (x + 1)2 + 5 (b) Find the vertex and x- and y-intercepts of f. (If an answer does no vertex (x, y) = ( 1,5 x-intercept (x, y) = ( DNE y-intercept (x, y) = 0.6
Find the indicated derivative for the given function. f"(x) for f(x) = e = x2 {"(x) =
x2 x2 ,Y72 f(x, y) = { ** - Y I s this function continuous at point (0,0) ? 10 y = x2
Find the inverse of the one-to-one function. (5pts) f(x)=Vx-4 f(x)-1 = x2+4 f(x)-1= x2–4 f(x)-1 = x+4 f(x)-1 = (x+4)2
question 4, 3 sub-questions
Final2.jpeg iat probability density function is given by f(x, y (2(x2+ y'), 0<x <2, 0cy3 Find the marginal densities of X and Y. Lip 2 Are X and Y independent? 4p c. Find probability X + Y < i , P(X+Y < 1 ). The amount of time, in hours, that a computer functions before breaking down .b] uniformly distributed on [o is continuous random variable T