Let 3x+2 x at lo С of Find a that would make f continously for such...
(x2-3x+2 1. (10 marks) Let f(x) if x # +1 (x2-1) с if x = 1 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε - 8 proof.
Let fx=x2-x-2(x2-4) if x≠±2c if x=2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an ε-δ proof. x2-x-2 с 1. (10 marks) Let f(x) = (x2-4) if x # +2 if x = 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at I using an E-8 proof.
x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с x-x-2 if x # +2 1. (10 marks) Let f(x) = (x2-4) if x= 2 Find c that would make f continuous at 1. For such c, prove that f is continuous at 1 using an e-8 proof. -- с
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
let f(x)=3x+5 10. Let f(x) = 3x + 5. Find each of the following. 210 a. Find f(x + h) b. Find f(x + h) - f(x) 05X11E f(x+h)-f(x) c. Find h
3x + 4 for x 2 12. Let (x) 2-x for -1 <x51 . Find f(1/3) and (3/2). Sketch the graph of the -3x for x S-1 function. Determine the domain and range. (2,2,5, 3, and 3 points)
x²+2x+2 4. Let y=f(x)= x² – 3x-5 (a) Find f(3) (b) Find and simplify f(x) - $(3) X-3 f(x)- $(3) (c) Find lim X-3 (d) Find and simplify $(3+h)-f(3) h 13 (e) Find lim f(3+h) – S (3) h 0 h (t) Find the slope-intercept form of the tangent line to y = f(x) at x = 3. (g) Plot the curve and the tangent line on the same graph, using the form on the window (-3,7]*[-10,10). 5. A car...
-. Let f(x) = 3x + 1 and g(x) = -X- 2. Find (fºg)(4).
(6 pts) Let f(x) = (x2 + 3x + 1)e-x. (a) (1 pt) Find f'(2) (b) (3 pts) Solve for the intervals of increase and decrease. Show your work. (c) (2 pts) Find any local maxima or minima, and where they occur.
2 be a probability density function for the random Let f(x) = С (2 + x)(2-x) -2 x variable X Part a: Find C. Part b: Find E[X] Part c: Find Var(X)