Find a formula for f-h(x) and (f1)'(x) if f(x) = V. f-(2) = (f-1)'(x) =
2. Given f(x) = { "sin 2tdt (a) find a formula for h(2) (b) find h" (1) 5. For the following integrals, state the type of improper integral (I or II) and why it is that type, then evaluate the integral if it is convergent or show that it is divergent. 3.redir
If f(x) = 1 - rand g(x) = V find a formula for (gof)(x). Give the domain of (808)(x). Which of the following functions are even, odd, neither? Explain your answer (1) f(x) = 3 + 1x1 – (2) 8(x) = 2r-+1 7. Match the graph of each function labelled (a)-() with the graph of its derivative (1)-(6). (6) d) (e) 13 95 0 0 (3) uu O 0 2 1 0 -1 -2 4
a. Solve for t in the formula s-1/2 (v,+v )t. b. Solve for V f in the formula s = 1 /2 (y, + v C. The formula for the area of a triangle is A- 1/2 bh. If b-3.12 m and A 82.6 m find h. d. A cone has a volume of 315 cm and a radius of 7.50 cm. What is its height?
The one-to-one function f is defined below. 1. f(x) = 2 2 B Find f'(x), where f is the inverse of f. Also state the domain and range of f in interval notation. 5 "(t) = 0 H (0,0) [0,0] OVO (0,0] [0,0) Domain of f : Ø -00 Range of f1? : 0 x 3 ?
Let f(x) be the recurrence relation defined by fn=fn-12+nfn-2 for n≥2 f0=3 f1=-1 Find f(3)
Exercise 4.6-2: Find the optimal value for h that wll minimize the error for the formula f' (xo) = f(x0+h) _ f(xo) _ h f"(e) in the presence of roundoff error, using the approach of Section 4.6 a) Consider estimating f(1) where f(x)using the above formula. What is the optimal value for h for estimating f'(1), assuming that the roundoff error is bounded by E-10-16 (which is the machine epsilon 2-53 in the 64-bit floating point representation). b) Use Julia...
Find f1(x) if f(x) = 3x - 4 이 0
1. Let h(x) = x4 - 6x3 + 12x2. a. Find h'(x) and h"(x). 2. If f(x) = 6 ln(x), for x > 0, then: a. Find f '(x). b. Find f "(x). 3. Which function below has derivative F'(x) = 30x4 ? Hint: Differentiate each of the choices until you find a result that matches this F '(x). (A) F(x) = 120x3 (B) F(x) = 6x5 (C) F(x) = 120x5 (D) F(x) = 6x3 4. Let g(x) = x4 - 2x3 + 3/ x3 Find g'(x), given...
1. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = x2 − 3x + 5 2. Find and simplify the difference quotient f(x + h) − f(x) h for the following function. f(x) = −6x + 4
1 2) (15 pts) Given g(x) g(x+h)-g(x) use the formula g'(x) = lim 6x+3' h0 h to find g'(x). 3) (15 pts) Given h(x) = -3x2 + 5x + 2, find the equation of the tangent line at x = -2. (Hint: For the tangent line at x = a, find f(a), and f'(a).)