The monthly output of a certain product isQ(x) = 2400x5/2where x is the capital investment in millions of dollars. Find dQ/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made.
The monthly output of a certain product is
Q(x) = 2400x5/2
where x is the capital investment in millions of dollars. Find dQ/dx, which can be used to estimate the effect on the output if an additional capital investment of $1 million is made.
Expert Answer
Want to see the step-by-step answer?
Derivative
Related Calculus Q&A
Q: Which is the result?
A: We are given a function as
Q: 5. (4.9) A particle is moving with the given data. Find the position function of the particle: at)si...
A: Acceleration function is given as a(t) = sin(t) + 3cos(t).Integrate the acceleration function to get...
Q: How can I get the result? Which is the result?
A: We have to find following limits.Question is given below:
Q: What is the order of the following differential equation? −4x4 y=−5ln xy
A: Given differential equation is,
Q: Calculate the area, in square units, bounded above by f(x)=−2x2 −x−21 and below by g(x)=−x2 −12x+9.
A: Click to see the answer
Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the ...
A: The given curve is y = x^2/3, x=1 and y=0.
Q: I need D,E,F
A: (D) When the object strick ground then s=0Answer(D) The object stricks ground at 60 s.
Q: Find the exact value of log10(15/4)+log10(4000/15)
A: Given information:The given expression is
Q: Explain in your own words how to find the volume using the disk method. Include on example in your ...
A: Suppose that any solid of revolution with disc cross-section.In order to find the volume of these ty...
Q: Please help me solve this differential equation.
A: Let, z=x-y
Q: Need help with D, E, and F. Anser A- h= 17.92/(pi)r^2 Answer B-S(r)= 35.84/r + (pi)r^2 Answer C- S'...
A: Given information:The surafce area of the baking powder is shown below:
Q: How can I get the result? Which is the result?
A: we are given a function as
Q: Find the work required to move the object on the line segment. Please refer to attached image.
A: As a first step we need to parameterize the curve C. The curve has two points (1, 4, 1) and (4, 16, ...
Q: (3x2+5)8x-92 fy(1x4 + x2 logarithmic differentiation gives y (32+5)(8r-92 1x44+x2 16 2x 3x2+5 6-x9 6...
A: We have to find derivative using lograthmic differentiation .Question is given below:
Q: Use the second derivative test to identify any critical points and determine whether each critical p...
A: We have to find any critical points and determine whether each critical point is a maximum, minimum...
Q: A stone is launched vertically upward from a cliff 160 ft above the ground at a speed of 48 ft/s. It...
A: We first find s\' using derivative. Answer(a): s\'= -32t+48
Q: Help me please
A: The general Taylor series for sin x at x = 0 is as follows.
Q: Calculus Question
A: The given curve is,
Q: 3. Given the function g(x) 8x defined on [-1, 1], determine if the function satisfies the Mean Value...
A: Given,
Q: A theorem states that one local extremum implies an absolute extremum. Verify that the following fu...
A: The given function is,
Q: 5 dx In 26 In 24 '을 In 24 글 In 26 none of the above
A: Obtain the value of the integral as follows.
Q: Determine the location and value of the absolute extreme values of f on the given interval, if they ...
A: Calculation:The given function is f(x) = 2(5x)x defined on interval [0.05, 1].In order to find the l...
Q: How do you set up the integral?
A: Given a triangle with function and the vertices,
Q: skecth the graph a) f(x)=(x-2)2(x+3) b)f(x) = x2-1/x c)f(x) = 2x/x2-1 d)f(x) = -23 + 7x2 - 2x...
A: To sketch the graph of given function :
Q: Calculate the area, in square units, bounded by g(x)=4x+8 and f(x)=x2 +19x+62 over the interval [−9,...
A: We have to find area between f(x) and g(x) for given boundaries.f(x) and g(x) is given below:Graph ...
Q: p(q)=2q2-4q+5; q=2 (a) Find the derivative, by using the definition. (b) Find the instantaneous rate...
A: Part (a)The derivative of p(q) at any point q, by using the definition, will be given by the express...
Q: A boat on the ocean is 2 mi. from the nearest point on a straight shoreline; that point is 13 miles ...
A: According to the question, x is the distance between the nearest point on a shoreline and the point ...
Q: Marginal Revenue. Suppose the total revenue function for a blender is R(x)= 36x-0.01x2 dollars where...
A: The total revenue function for a blender is R(x)= 36x-0.01x2 dollars where x is the number of units ...
Q: Help w/ #6
A: The curve is given by ti+t2j+t3k.The formula to calculate the curvature of the curve is given by,
Q: 1. Indefinite and definite integrals including trigonometric functions and ones that will require th...
A: a. Integrate the given indefinite integral with respect to x as follows.
Q: How do I solve this differential equation using P(x), Q(x) and v(x)?
A: The given differential equation is,
Q: How can I get the result? Which is the result?
A: The function is given by,
Q: Let H(x)=4f(x) + 5g(x), where the graphs of f and g are shown in the figure. Find H`(1).
A: Firstly, we find the function y=f(x) , which is linear function , as it is a equation of straight ...
Q: Consider the differential equation dy/dt = y−y2. Given that y(0)=0.5, solve the differential equatio...
A: To find the expression for y(t) and find the limit y(t) as t tends to infinity
Q: Please be specific. Convergent but A? C? F?
A: We are given a series as
Q: Please help me about this.
A: The radius of convergence is 4 which can be computed as follows.
Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.
A: The given series is
Q: All boxes with a square base, an open top, and a volume of 210 ft cubed have a surface area given by...
A: Approach:As a first step we will differentiate the given function and equate it to zero to find all ...
Q: Find f'(x) for f(x)=tan^3x+tan(x^3)
A: The function is given by,
Q: 2,3,4
A: (2) Evaluate the limit as follows.Substitute x = 2 and y = 3 in the given expression.
Q: How can I get the result? Which is the result?
A: The given function is,
Q: Consider the following function. Without finding teh inverse, evaluate the derivative of the inverse...
A: Given information:The given function is .
Q: graph quadratic function f(x) = -3x2- 12x -1
A: Consider the given equation
Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum...
A: (a)Consider the given geometric series:
Q: find the derivative of g(x)= 3x3- 2/ square root x you dont need to simplify answer, but use paren...
A: The given function is,
Q: Determine whether the following statements are true and give an explanation or counterexample.
A: Given information:
Q: Use any method to determine if the series converges or diverges. Give reasons for your answer.
A: Refer to the question.Here we have to find the convergence of the series,
Q: If the formula describing the distance s(in feet) an object travels as a function of time(in seconds...
A: The distance s(in feet) an object travels as a function is s = 100 + 160 t -16t2.It is known that, t...
Q: Is y=e2x +4x+3 a solution to the differential equation shown below? y′−2y=−8x−2
A: To test if the given function is a solution of the given differential equation
Q: Determine the location and value of extreme values of f on the given interval, if they exist. Type...
A: Given information:The given function is