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explicit differentiation find f'(y) explicit differentiation b) In x® + Belly + lng = 0 b)...
2. Using appropriate differentiation techniques (not the limit process Show all steps a) f(x) = (x® - 4x?)3 + 3Vx b) f(x) = 3x4 / (9x - 6) c) f(x) = ( (8x4 - 8)) (2x2+8x) 3. A product costs $20 to produce with an overhead of $4000, and sells for $40 per unit a) Find the cost, revenue and profit functions. b) Find the (x, y) coordinates of the breakeven point. c) Find the average profit function and the...
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(1 point) Consider the first order separable equation y' = 45x®y(1 +520)1/2 An explicit general solution can be written in the form y=Cf(x) for some function f(x) with Can arbitrary constant. Here f(x) = Next find the explicit solution of the initial value problem y(0) = 1 y=
17 EMTH210-1851 (b) Consider the following functions: F = x-y-e, (0) Use implicit differentiation to find
Use logarithmic differentiation to find the derivative of the function. y = 6 Select one: a. y' = 6x®(6 Inx+1) b.y' = -6x®*(Inx+6) о C. y' = 6(Inx+1) d. None of these e. y' = 6x®* (In x + 1) f. y' = x* (In 6x + 1) o
PART B PLEASE
f the following systems,find an explicit conjugacy between their For each o flows. 5. X and Y,- x'= (a) (b) 0 1 -2 0 -4 0 x'= X and Y, 20
Anti-differentiation Question 1. Find the function f(x) if 1. f'(x) = 0.5e -0.2x, f(0) = 0 2. f'(x) = x2 + Vx, f(1) = 3 3. f'(x) = 1 7x Question 2. Find the number k: 14t - +0 e 4x-1 2.[(4 – x)"dx = kin/4 – xl + c 3.5(3x+2)*dx = k(3x + 2)5+C
(4 points) 8. Use partial derivatives to perform implicit differentiation to find dy if 5x® y2 + sin (z^y) = 2y4 + 3x, where y is a differentiable function of x.
(b) Find the work done in moving a particle along the path x-cos y, z 0 from y-0 to y 2m, in the field F(x, y, z)-c" cosy i-xe® sínyi + 2xe2: cos y k. (10 Marks) EvaluatelFdA for surface S: x-z2,0 F(x, y, z)--Зугі + zer cosyj + 3xz2k. (c) y 2,-1 251and (7 Marks)
(b) Find the work done in moving a particle along the path x-cos y, z 0 from y-0 to y 2m, in the field...
Find Ay and f'(x)Ax for y=f(x) = 3x®, x= 3, and Ax=0.02. Ay = (Round to four decimal places as needed.) f'(x)Ax = (Round to two decimal places as needed.)
Find the four second-order partial derivatives for f(x, y) = 2x4,5 + 7x®y?. tyy