We already know the functions defined by y =c+a+f[b(x-d)] with the assumption that b>0. To see what happens when b<0, work parts (a)-(f) in order. (a) Use an even-odd identity to write y = sin (-2x) as a function of 2x. y = (b) How is your answer to part (a) related to y = sin (2x)? O It is the negative of y=sin (2x). It equals y=sin (2x). (c) Use an even-odd identity to write y = cos(-5x) as...
We already know the functions defined by y =C+a•f[b(x-d)] with the assumption that b>0. To see what happens when b<0, work parts (a)-(f) in order. (a) Use an even-odd identity to write y = sin(-2x) as a function of 2x. y= (b) How is your answer to part (a) related to y = sin(2x)? O It is the negative of y = sin (2x). olt equals y = sin (2x). (c) Use an even-odd identity to write y = cos(...
Find f(x) if fx)= sec x-2e and f(0) 0 2
Find f(x) if fx)= sec x-2e and f(0) 0 2
For f(x) = sec (x) -tan?(x), find fľ(1). O AT OBI 0 0 Ele 0 0
Find f'(x) and f''(x) for the following: f(x) = e^cos(2x^3) b) f(x) = 20 x^3 + 12 x^2 - 8x sin (7x)
Find 14) if f(0) = 0 and f'(x) O and f''(x) = secx (7 tan x + 6 sec x).
2. a) Find a potential of the vector field f(x, y) = (a2 +2xy - y2, a2 - 2ry - y2) b) Show that the vector field (e" (sin ry + ycos xy) +2x - 2z, xe" cos ry2y, 1 - 2x) is conservative.
Find f'(x) and (c) Function Value of c R(x) = (x + 2x)(2x + 2x - 2) c=0 x) (8x3+2)(x4 + 2x) + (2x4 + 2x - 2)(4x3 + 2)
State whether the following statements are true or false as x→00 (c)x-O(x+6) (g) In x-o(in 2x) (a) x- o(3x) (d) x = 0(2x) (h) yx2 + 6 =0(x) (e) e x = o(e4x) (f) 3x + Inx=0(x) (a) Is x = 0(3x) as x→ oo true or false? O False O True b) Is x = 0(x + 6) as x→ oo true or false? False O True (c) Is x-O(x + 6) as x-> oo true or false? O...
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...