If x = g(t), y = h(t), z = f(x, y) , g(3) = 2, g'(3) = 5, h(3) =7, h'(3) = -4 , fa(2, 7) = 6 , f:(2, 7) = -8 and www t = 3 find the dz/dt = ? wwwww wwww w www

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

A:

Q: Find y' y= (x2+2)(x-3)

A: Given :                  y = x2+2x-3 Find :               y'

Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: If f(0) = -6, f'(0): = 3 S³ = x. f''(x) dx = = - 20, f(3) = 297 11 and f'(3) X 18 then: -49

A: Given: Basic information:

Q: Calculate the derivative of the function. f(x) = [(2x – 1)2 + (1 – x)°]? %3D f'(x) = %D

A: We will find the derivative using chain rule.

Q: Use the graph of f and g. p(x) = f(x)g(x) %3D f(x) q(x) = g(x) %3D y 10 8 f 4 2 -2 2 4 6. 8 10

A:

Q: If f(2) =-3, g(2) =4, f' (2) =2- and g' (2) ==, then (2) - o' (2) =,

A:

Q: We are standing at the point (4, 2) on the map, on a hill that can be described by the function f…

A:

Q: At time 3 seconds an inflatable cylinder has the radius 5 inches and the length 20 inches, that is,…

A: Given that  At time 3 seconds an inflatable cylinder has radius 5 inches and length 20 inches…

Q: Find dy/dx if f(x) = csc (x³ + x + 1)

A: Derivative of the function

Q: Find g'(4) given that f(4) = -10, f'(4) = -9, and g(z) = Vif(x). %3D

A: Consider the handwritten solution.

Q: Given the function f(x) = | _(2t – 3)dt, find f' (2) -7

A: Given function fx=∫-7x2t-3dt. To find: f'2 Solution: Power rule of integration states that:…

Q: If f(z) = 3 sin (z) then f'(z) =

A:

Q: Find y as a function of a if y(1) = 8, y'(1) = 6. y = x²y" + 3xy' - 35y = 0,

A:

Q: 7x2 + 6x + 2 If f(x) then: f'(x) = f'(2) =

A: The given function is f(x)=7x2+6x+2x

Q: Find f'(z) if f(r) = 3 csc(r) + cot(r). %3D Answer:

A:

Q: The derivative of f(x,y)=9xY at (e,1) in the direction of v=(4,3) is !!

A: TO FIND THE DERIVATIVE i.e DIRECTIONAL DERIVATIVE IN DIRECTION OF V= (4,3) at (e,1) STEPS 1. FIRST…

Q: Suppose that y varies directly as x' and inversely as w. If both x and w are doubled, what is the…

A: Given: y varies directly as x5 and inversely proportional as w2

Q: Taking Joint H. Ź Fx=0 FHo Cos 45- Fan Cos67.5 Ho +130-6 563 cOszas:0 67.5 45° :: FHo Cos 45-Fan…

A: A system of equation is a set of equation with common variables in them. The solution of such an…

Q: Let F(x) = f(f(x)) and G(x) = (F(x))² . You also know that f(6) 7, f(7) = 2, f'(7) = 13, f'(6) = 6…

A:

Q: Find P(A and B')

A: P(A) = P(B) = 0.33 P(A or B) = 0.43

Q: Find f such that f'(x)= 8x-9, f(6) = 0. f(x) = b

A:

Q: f (x) = (coshx)4* Find f'(0)

A: We have to find the following

Q: Find y' if y = (2x + 1) (4x – 1)². %3D

A:

Q: F(x) = 3Jx#6 + K Given find the value of k if f(-3) =19 f'-2) =- 3 ·

A:

Q: Differentiate the given function. 7x-2+-

A: Here we apply product rule of differentiation (UV)' = U(V') +(U')V

Q: Let y= f (x) be a function with f (4)=12 and f(4)= 0.5.

A: We have to find

Q: If z varies direct to the square of y and y varies inverse to x (x,y,x) = (20,120,100) Then find the…

A: z varies directly to the square of y, so z=my2 y varies inversely to x, so, y=nx Therefore,…

Q: f(3.8) - If we knew that f"(x) < 0 on the interval (3.5, 4.5), would your estimate above be an…

A: We need to find f(3.8)

Q: If f(t) = (t + 3t + 6) (4t² + 3), find f (t). Find f'(3).

A: