limit 3 HY) = -2+ aj evaluate_follo ning √x+124 b) for what value of a X2...
Evaluate the following limit using Taylor series. 3 lim 2x2 zle x2 1 X>00
Determine if the limit exists, Graphically b.) lim X1 x2 + 3 2 x<> 1 x=1
12. What value of c make the function f(x) = (x2 – 3x when x > 2 continuous when x = 2? 14x + 2c when x < 2 a)-5 b)-3 c) 0 d) 1
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 =?
find the limit f(x) = 2x2 -3, if x-2 13-x, ifx < -2 then, determine if the function is continuous at x=-2
(a) For what value of x does f(x) = g(x)? (b) For which values of x is f(x) >g(x)? For every x in the interval f(x)>g(x). (Type your answer in interval notation.) In parts (a) and (b), use the given figure. (a) Solve the equation: f(x) = g(x). (b) Solve the inequality f(x) > g(x). у y = g(x) y = f(xN (-9,7)
Question 23 . > 1 if x = 3 and f(x) = x2 – 3 and g(x) = then g(f(x)) Find the following given: f(x) = x2 + 3 and g(x) = x – 2 f(g(x))= Submit Question
3. Let X N(20,1). What is P(X > 20) ? a) 0.25 b) 0.5 c) 0.75 d) 0.99
2. For the difference cquation, X2+] = ax, + b = f(x,), where 0 <a < 1 and b> 0, use the solution given in (1.12) to find the following limit: lim ->XX7. Show that this limit is also a fixed point of the difference cquation, that is, it is a solution x of t = f(x) (see Figure 1.2).
(b) For any real number a > 0, O COS X dx = te /a. x2 + a? - [Hint: This is the real part of the integral obtained by replacing cos x by eix]