8) Find L10 for f(x) = 22 +3.c +1 from 2 = 1 to 2 = 2.
14. Find the inverse function of f(x) = (x-5)3 f-1x= 3x -5 f-1x= 3x +5 f-1x= x+5 f-1x= 3x +125 f-1x= 3x -125 15. Find the center and the radius of the circle (x-4)2+(y+3)2 =64. (4, -3), r = 8 (-3, 4), r = 8 (-4, 3), r = 64 (-3, -4), r = 64 (-4, -3), r = 64
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...
Find the derivative of the following functions: Inx 22 C. a. F(x) = In (3x) b. Y=: Y=52x-1 d. Y= log1032 e. Y=In(x2-2)2/3 f. Y= In g. Y= log2 (2x - 1) h. Y= 8** e 1+e+
3. (8 points, 4 points each) f(x)-2x - 1 and g(x)-3x + 4, are functions from R to R. Find a. fog b. gof
(1) (a) List all possible rational zeros of the rational function: f(x)=9x' +22° -87-15x² + 3x + 20 (b) Find the zeros of the polynomial function and state the multiplicity of each. f(x)=(x+8) (r - 4)*(x+1)' (x –15)'(x+3)
6. For ()-5x -3x +x-20, find f(). r(). and ")
Question 1 1 pts Find the derivative of f(x) = cos(sin(3x)). Of"(x) --cos(3x) sin(sin(3x)) O f'() -- 3cos(3x) sin(sin(3x)) Of'(x) - 3cos(3x) sin(cos(3x]) f'x) --sin(3x) cos(cos(3x)) Question 2 1 pts Find the derivative of f(x) = cos(x^2 + 2x). Of "(x)=2x+2 sin(x^2 + 2x) O f'(x)= x^2 sin(x^2+2x) Of"(x)= (2x+ 2) sin(x^2 + 2x) f'(x)= -(x^2 + 2) sin(x^2 + 2x) O f'(x)--(2x + 2) sin(x^2 + 2x) Question 3 1 pts Use implicit differentiation to find the slope of...
1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1 1) Graph the curve r(x) (x3-4x6-3xy for the values -2 3x K2 Find f(x) Determine unit tangent vector for x-1 Sketch unit tangent and unit normal vector for x-1
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...