Given f(2) (2 + 1)2 if Iso find the following and graph. - 3x - 1...
5) Find dx (3x - 1) In (3x - 1) for 3x - 1>e a) O 3 In(In(3x - 1)) + c b) O 3 In(3x - 1) + c c) 0 1 ln(In(3x 1)) + c 3 d) O ln(3x 1) + c -
Identify the correct graph of the following piecewise-defined function. -3x - 6 ifx-2 if x > -2 8(x) = Answer 2 Points
what is the range? f(x)= - 3x if x 50 -2 if x>0 The domain of the piecewise function is (-00,00). a. Graph the function b. Use your graph to determine the function's range, a. Choose the correct graph below. ОА. C B. Ос. AY a AY 10 10 10 10 -10 TO b. The range of f(x) is Click to select your answers)
3x+2 f(x) =( :) (x-> +1) Your problem: using the rules of differentiation, find the derivatives of the collowing: f)-(3442) fool(3x+2) (-5x + x + 1) - 2 1 =(-15x 10x" + (-2x = 2) =>15x410x5 - 2x = = 3x -3x- 27 (X)(3+0)-(3x+2)(1) x² g'=(x) =F12x15x4_2 = -5x6 xb * please check my work, if wrong, please write out correct solation! Chain Rule: When functions are composed, to take the derivative involves both the outside function and the inside...
(1 1 point) Let F(x) = 5 9 dt, for > 9. In(3) A. F'(2) 9/(In(3x)) B. On what interval or intervals is Fincreasing? те (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none for no intervals.) c. On what interval or intervals is the graph of F concave up? CE (Give your answer as an interval or a list of intervals, e.g., (-infinity, 8] or (1,5),(7,10), or enter none...
1. 2. Find an equation of the inverse relation for the following relation y-3x-9 The equation of the inverse relation is The given graph is a graph of a one-to-one functionf. Sketch the graph of the inverse function f ' . 6,-6) Choose the correct graph for f A. 10 10 10 10
Given the following piecewise function, evaluate f(-5). I < -4 f(x) = . 1-42 -3x (x² – 2 -4 < x < 0 0<x
Please help!! Thanks 1. Consider the function f(x) e a) Find the length of the curve given by the equation y - f(x), -1 3x<1. b) Let R be the region bounded by the graph of f(x) and the lines 1,1 and y-0. Find the area of R. c) Find the coordinates of the center of mass of R. d) Consider the solid obtained by rotation of R about the r-axis. Find its volume and surface area. 1. Consider the...
18. Let f(x) 4x2 +1 and gox)- 3x-4. Find (f+g)x), (f - g)(x). (I eg)X<), and (x). Determine the domain of seros d (t+g)0x)= (Simplify your answer. Do not factor.) 0o.o (Simplify your answer. Do not factor) = (x6-) (g)x) (Simplify your answer. Do not factor.) swer. Do not factor.) (Simplify your (x)= Choose the correct domain of B. All real numbers 1 A. All real numbers except t D. All real numbers except 4/3 C. All real numbers except...
f(x+h)-f(x) a) Find the difference quotient- -> (assume h + 0) for f(x) = x2 + 3x + 4 b) Find the inverse algebraically of g(x) = 2x-3