The revenue, in thousands of dollars, earned by a gas station when the price of gas is $p per gallon is R (p). (a) What are the units of R' (3)? Interpret this quantity. The units of R' (3) are This quantity represents (b) What are the units of (R-)' (6)? Interpret this quantity. The units of (R)' (6) are This quantity represents the price of gas when the revenue is $6000. the revenue when the price of gas is $6 per gallon. the change in revenue when the price of gas is $6. Save for Later

Q: The quantity (in pounds) of a gourmet ground coffee that issold by a coffee company at a price of p…

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: Using the figure below, where f' (3) = 2.1.f' (6) = 3.0,f' (9) = 3.7,f' (12) = 4.2, find (f-1)'(12).…

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Q: An equation containing an unknown function and its derivatives

A: Differential equation

Q: Find the derivative d (et² + 3)s A.5(ex²+3)4.ex² B. 10x(ex+3)4 ex² 2 C.5(ex+3) 2 D. 10(ex²+3)4.ex² 2

A: We use power rule

Q: K Let f(x) - f''(x) = 3 + 3 x6

A:

Q: Find the inverse of A = (1 201) 22 1-2-1 21 (2-221

A:

Q: y''''' - 3y'''' + 3y''' - y" = 0

A: To solve y""'-3y""+3y"'-y"=0

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: 4x+A A=70 Q2 (a) Given the function, f(x) (i) Calculate the first derivative of the function by…

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Q: First derivative of ₂ F₁(x): d a {2 F₁ (a, b; c; x)} = dx a.b с 2F₁ (a +1, b+1; c + 1; x)

A:

Q: Average leaf width, w (in mm), in tropical Australia¹ is a function of the average annual rainfall,…

A:

Q: The graph of a continuous function f : [0,9] → R is given below. The function

A: given F(x)=∫0xf(x)dx

Q: Determine the particular solution of the ODE y” + lnx = -1 a. (-0.5 * lnx) + 0.25x b. (0.5x^2 * lnx)…

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Q: Find the fourth degree Taylor polynomial, T4(x), for f(x) at -: Que f(x) = 3 sin(x) Que a) Find the…

A: We have to find Taylor polynomial

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)

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Q: 4x + 3 Find the inverse of f(x) 1 ƒ-'(x) =

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Q: FOR THE EQUATION, Y- 3n-n (2%,+Z2+.+Z,)+3^-(n-1"(22.+Xz+...+Zn-1)+.+3m-(2=1) +Xa t...+Xn - 3 FIND…

A: As per the question we are given an expression for Y in terms of x1 , x2 , ... , xn , n > 0  And…

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.…

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Q: y=x²3x (Ans. x-35 (xln 3+2))

A: find the derivative of the function

Q: f(x) = x° + 6x³ + 3x, then find the second derivative, f" (x)

A: see below the answerddxxm=mxm-1

Q: f(x)= (x+/x)(3x-24) 1. Find the derivative of f(x). No need to simplify but give answer with…

A: We have to use properties of function to solve the problem Please note: in case of multiple…

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.