3.630 AN(x) 1000- 900- 800- 700- 효 600- 500- arine manufacturer will sell N(x) power boats after spending $x thousand on advertising, as given by N(x) = 980 - 55xS 30. Find N'(x). Find N'(10) and N'(20). Write a brief verbal interpretation of these results. 400- 300- 200- 100- 0- 10 15 20 25 30 35 Thousands of advertising dollars N(x) = O Boats sold

Q: tx' 3 - - (³ 4) X X = C1 (1) +02 10 + ()

A:

Q: 3. Which of the following exponential functions is NOT increasing on the entire real line? a. fAx) =…

A:

Q: 4 X Find f'(-2) if f(x) = 5 - 4x. f'(-2)= (Simplify your answer. Type an integer or a fraction.)

A: given,  f(x)=x45-4x

Q: Differentiate. 1 F(x) = 2x - 5 F'(x) =O

A: Given the functionf(x)=12x−5

Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: Estimate f'(-12) using the data in the table. x -13 -11 -9 -7 f(x) 1.02 1.05 1.12 1.14

A: Given the tablewe have to find the value of f'(-12)

Q: 7x +3 Given f(x) then f-1(x) will be %3D 8 8х — 7 А. 7x-8 3 8х - 3 D. 8x + 7 3. 7 elect one: OB O A…

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Q: x+3x + 2 If f(x) = then f'(1) = %3D O 3 07 0 5 0 4

A: By using differentiation property, we calculate the required value.

Q: Given f (7) = 3, f' (7) = 7, g (7) = -1, and g' (7) = 9, find the values of the following. (a) (f9)'…

A:

Q: Find the following values in dollars per thousand watches. (Round your answers to two decimal…

A: Given Data: Demand Function: dx=550.01x2+1      0≤x≤20   (a) The first derivative of the demand…

Q: 6. The solution of the equation 3(1 + 401) mately) (a) None. (b) 69.3 (c) 0.693 (d) 6.93 = 27 is…

A: 6. Given:3(1+4e0.1x)=27Solving for x, we have:33(1+4e0.1x)​=327​1+4e0.1x=94e0.1x=9−14e0.1x=8Dividing…

Q: The revenue, in thousands of dollars, earned by a gas station when the price of gas is $p per gallon…

A: Given that the R(p) is the revenue in thousands of dollars earned by a gas station when the price of…

Q: Find (f-1)'(a) for f(x) = *+1 2x + 3 2 when a = 5 (Enter an exact answer.)

A: Take f^-1(x)=y. Then find f^-1(x).

Q: Find the following using the table below. X 1 2 3 4 3 4 f(x) 2 1 f'(x) 2 4 3 1 g(x) 2 4 3 1 g'(x) 2…

A: 1) given function h(x)=f(x).g(x)Derivative w.r.t 'x' by using the product ruleformula of the product…

Q: Suppose P(x) represents profit on the sales of x computers. Suppose P(25,000) = 12,000;…

A: given :

Q: The total cost in dollars of producing x coffee makers is C(x) = 2500 + 30x — . Find the exact cost…

A: The total cost in dollars of producing x coffee makers is Cx=2500+30x-x25

Q: 7 If f(x) = 2 + find f'(x). x2 - Find f'(4).

A: ddxxn = nxn-1

Q: 2 7. Evaluate f' (-1) for f(x) =- x X3

A:

Q: 51. (a) 4 = -cı (b) c1(t) = 8e(-2/5)t g/L

A: (a) Given information: dc1dt=-25c It is first order seprable ODE

Q: 35. f'(8) = - 64 64

A: Consider the following equation: y=-164x+14 Differentiate y with respect to x:…

Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

A:

Q: Given f''(x) = 9x + 5 and f'(-3)=-3 and f(-3) = 6. Find f'(x) = and find f(2)

A:

Q: Given f(x) = e2(x-1) – 4x² –x + Inx then find f'(1). I.-8 II. -4 III. -8x IV. -6 V. (r-1) Saloct ane

A: Answer and explanation is given below

Q: f(x) g(x) h(x) = ;a = 3 f(x) f'(x) g(x) g'(x) 0. 2 0. 2. -1 3. 7. -7 7. h'(a) = %3D 3, 2. 2. 5. 2.…

A:

Q: Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.