P(x) = x2-2x-15, find the instantaneous rate of change at x = 2. 7, For the function a. -15 b. 3 c. d. 0 None of th...
2. Sketch the graph of the following functions and find the values of x for which lim f(x) does not exist. b)/(x) = 1, x = 0 f(x)- 5, x=3 c) x2 x>1 2x, x> 3 d) f(x)-v e) (x)- [2x 1- sin x Discuss the continuity of the functions given in problem #2 above. Also, determine (using the limit concept) if the discontinuities of these functions are removable or nonremovable 3. Find the value of the constant k (using...
find the average rate of change for the following function. f(x)=2x^3-5x^2+7 between x=-2 and x=1. The average rate of change for f(x) over the interval -2 to 1 is ___. (Type an integer or a simplified fraction.)
Please solve all I will rate X=0. 2x b f(x) = (x - 1)? 3) Find the power Series representation for f(x) around Also specify the set of convergence. a) f(x) (1+x2 c) f(x) = fan'cx) e) f(x) = x = x Cao3x – 54 x) d) f(x) = VI 777?
Name: 1. For the function f(x) = x2 – 1 find and simplify: a. f(-2) b. f(-x) c. -f(x) d. f(x - 2) 2. Find the domain of each function below. Write your answer in interval notation. a. f(x) = x + 2 x2 + x - 6 b. 8(x) = (2x - 1 1 f(x + h) - f(x) 3. For the function f(x) = 2x2 – 3, find the difference quotient h 4. Use the graph of the...
1. Find the x that minimizes the function y=- 200 + r2 -= In (x): 3 a. X=1 b. x=0.05 c. X=0.125 d. none of the above Show transcribed image text 1. Find the x that minimizes the function y=- 200 + r2 -= In (x): 3 a. X=1 b. x=0.05 c. X=0.125 d. none of the above
Question 1(a&b) Question 3 (a,b,c,d) QUESTION 1 (15 MARKS) Let X and Y be continuous random variables with joint probability density function 6e.de +3,, х, у z 0 otherwise f(x, y 0 Determine whether or not X and Y are independent. (9 marks) a) b) Find P(x> Y). Show how you get the limits for X and Y (6 marks) QUESTION 3 (19 MARKS) Let f(x, x.) = 2x, , o x, sk: O a) Find k xsl and f(x,...
solve each equation algebraically: a) 3+7e^2x=24 b) 2^x+5=7^3x+1 c) 3^(2x) - 3^(x) - 20=0 d) log x + log (x-5)=2 ^6 ^6 e) log(x+2)-log(x-1)=1 f) ln(log (x^2 + 2x))=0 ^3 d og, 71 Solve each of the exponenti a tions call the as well as a decimal approximation to the nearest the get the approximated solutions Yo d ac t o a) 3+72-24 d) 3 -3-20 - 0 get the approximated solution a) loe +log.-5) = 2
34. Find the average rate of change of the function()3-5z2 over the interval [1.1,2.4]. Round your answer to two decimal places. (A) 63.20 (B) 72.39 (C) 105.32 (D) 136.92 (E) 55.69 Find the solution to the linear system: 35. (A) 15,,13 (B) x =ラ,,-ー7,2 = T (C7-8 1016 (D) No solution (E) Infinitely many solutions 29 2 15 22 2E 34. Find the average rate of change of the function()3-5z2 over the interval [1.1,2.4]. Round your answer to two decimal...
Question 7 If the nominal interest rate is 2%, and if prices decrease by 1%, then the real rate of interest is approximately: a) 1% b) 2% c) 3% d) 4% e) None of the above.
13. Integrate: a. j«x+278)dx 0 b. (dx х c. dx 9+ x d . xdx? +2 dx 2x+1 хр '(x’+x+3) f. I sin (2x) dx g. cos (3x) dx h. ſ(cos(2x)+ + secº (x))dx i. [V2x+1 dx j. S x(x² + 1) dx k. | xe m. [sec? (10x) dx 16 n. .si dx 1+x 0. 16x 1 + x dx 5 P. STA dx 9. [sec xV1 + tan x dx 14. Given f(x)=5e* - 4 and f(0) =...