Answered: ssume that C(x) is in dollars and x is…

ssume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost function C(x)=0.01x2+0.4x+30, find ΔC and C′(x) when x=60 and Δx=1.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter2: Functions And Graphs

Section2.6: Proportion And Variation

Problem 17E: Find the constant of proportionality. y is directly proportional to x. If x=30, then y=15.

See similar textbooks

Related questions

Q: Question 1: Use the method of Lagrange multipliers to find the maximum and minimum values of the…

Q: Find the area between the curves. x = -5, x = 1, y = 2x² + 4, y = 0 The area between the curves is…

Q: For the function, find the indicated expressions. f(x) = In(e* - 2x) (a) Find f'(x). f'(x) = (b)…

Q: wrong answer

A: NOTE: Refresh your page if you can't see any equations. . the given coordinate is

Q: -) Show steps and find [(2x+1)' In(2x+1) dx.

A: According to guidelines we can solve only one question at a time if multiple questions are posted.…

Q: Consider the function f(x) = 2 – 2x²/³ on the interval [-1,1]. Which of the three hypotheses of…

A: We check the hypothesis of Rolle's Theorem .

Q: QUESTION 6 Calculate the Riemann sum R(f, P, C) for the function f(x) = x, partition P = 1, 1.5,…

Q: Find the area of the surface generated when the curve: b) x=2sqrt(4-y), 0=<y=<15/4 is rotated about…

Q: Consider the function f(x) = x¹ − 72x² +6, -5≤x≤ 13. x4 Find the absolute minimum value of this…

A: Solve

Q: estion 4 Arial Find the total cost function for the g C'(x)=1.5x²-8.4x+64 where 4 units cost $250…

Q: The population of a certain country is known to increase at a rate proportional to the number of…

Q: A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the…

A: By Newton's cooling Law ⇒dTdt=KT-Ts⇒T=Temperature of thermometer at time t⇒Ts=Air temparature

Q: lim cos(x) X→∞

Q: 8. fx²e¹dx

Q: sin (z) h(z) - [N² h'(x) = (cos(t5) + t)dt culus rival

A: Given query is to find the derivative.

Q: 1 7x6 (6-x) dx 0

Q: Determine the convergence or divergence of the series. (If you need to use co or -00, enter INFINITY…

Q: Consider the power series given by Find the centre of the series and the radius of convergence. the…

Q: Consider the following function. f(t) = e 0-1²

Q: given that the graph of f(x) passes through the point (3,5) and that the slope of the tangent line…

A: The slope of the tangent line to the graph of y =f(x) at (a , b) is f '(a)

Q: Find the absolute maximum and minimum values of the following function on the given interval. If…

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 3 cost-2 sint,…

Q: Write the arithmetic sequence −19,−10,−1,8,... in the standard form

Q: The number of virus cells increases by 37% each day. What is the common ratio?

A: Please see the below answer.

Q: 10. sint√1 + cost dr dt

Q: Find the arc length of the following curve on the given interval. x = 6t³, y = 9t², 0≤ts √3

Q: cos(sin^-1u-cos^-1v) Write as an algebraic expression of u and v

Q: Let f(x) = 3x + 8, x₁ = 1, X₂ = 2, X3 = 3, x4 = 4, and Ax=1. 4 (a) Find Σ f(x;) Ax. i=1 (b) The sum…

A: use limit of sum amnd function property.

Q: QUESTION 4 State the general anti-derivative of f(x) = -√x F(x) = - 5 x² +C 3 ○ F(x) = -√√x³+C x ) =…

Q: (c) Sª sec² (2x) dx

Q: Tutorial Exercise Find the derivative. Step 1 The given function y = In -In (4+) can be written as y…

A: Given query is to find the derivative.

Q: 14) The half-life of carbon-324 is 700 years. I have 400 grams of carbon-324 right now. How much…

Q: The equation r(t) = (6t)i + (6t − 5t²)j + (5) k gives the position of a particle in space at time t.…

A: Given the position vector r→(t)=(6t)i→+(6t-5t2)j→+(5)k→ We are required to find the angle between…

Q: Determine whether the series is convergent or divergent. n²n (1+2n2) 8 n= n

A: Please see the below picture for detailed solution.

Q: 4) The function y₁ (x) = x is a solution of the equation (x² + 1)y" − 2xy' + 2y = 0. Use Abel's…

A: The given differential equation:x2+1y''-2xy'+2y=0.Also, it is given that y1x=x is a solution of the…

Q: ·S (a) tan-¹(x) + C (d) tan-¹(2x) + C (g) tan-¹ (r) + C (i) None of the above 1 1+4x2 15. Evaluate…

Q: Write the arithmetic sequence −7,−13,−19,−25,... in the standard form:

Q: Question Use Fubini's theorem to compute the double integral ff f(x, y)dA where f(x, y) = 4y and R =…

Q: Identify u and dv for finding the integral using integration by parts. (Do not evaluate the…

Q: Determine the intervals on which the given function is concave up or down and find the points of…

A: Solve the following

Q: 12. f sec² 20 do

Q: Blood Pressure and Age A research group developed the following mathematical model relating systolic…

Q: lim (x,y)+(5,10) ‚ ( ²½ + ² ) ² = lim (x,y)+(3,4) \ X

Q: Use Green's Theorem to prove the area of an ellipse with semi-major and semi-minor axes lengths a…

Q: 0.7 Suppose the average daily metabolic rate for certain types of animals can be expressed as a…

A: Given r=143.2m0.7

Q: Consider the initial value problem for the function y, (t, y) y' - 3 = cos(t) y² 3 y(0) = 1. (a)…

Q: Find the center, foci, vertices, and eccentricity of the hyperbola, and sketch its graph using…

Q: Find fxxyzz for 1(x, y, z) = z³y²ln x. fxxyzz = -12zy/x2 fxxyzz = -12z2 y/x2 O fxxyzz = -12zylx…

Q: For the function, find the indicated expressions. f(x) = x² In(x) = x² (a) Find f'(x). f'(x) = X (b)…

Q: Write out the first four terms of the Maclaurin series of f(x) if f(0) = -13, f'(0) = -6, f"(0) =…

Question

Assume that C(x) is in dollars and x is the number of units produced and sold. For the total-cost function C(x)=0.01x²+0.4x+30, find ΔC and C′(x) when x=60 and Δx=1.

Expert Solution