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Calculus Questions
A real estate office manages an apartment complex with 40 units. When the rent is $660...
If a company's marginal revenue function is MR(x) = xex/5, find the revenue function. [Hint: Evaluate...
1. If f(x) = ∫10/x t^3 dt then: f′(x)= ? and f′(6)= ? 2. If f(x)=∫x^2/1...
Draw a rough sketch of the two curves. Then find the area of the region that...
Find the point on the plane curve xy = 1, x > 0 where the curvature...
Let f(x) = x2/3 (2x − 5). Find the absolute maximum value and the absolute minimum...
Find dy/dx and d2y/dx2. x = t2 + 6, y = t2 + 7t For which values...
14. If a function is discontinuous at x = n then a) The function has an...
Use logarithmic differentiation to find the derivative of y. y=4 square root x(x-4) over x3+4
Calculate ?5 for ?(?)=2?2+7? over [−1,1].
Use Euler's method with step size 0.4 to estimate y ( 0.8 ) , where y...
Solve the initial value problems. 1) x (dy/dx)+ 2y = −sinx/x , y(π) = 0. 2)...
Find the derivative of y with respect to the independent variable. y=log6 (x2 over 10 square root...
Create a table of values for the function and use the result to estimate the limit....
For the series ∑∞ n=0 ((-1)^(n-1)) ((x-7)^n)/n a) Find the radius and interval of absolute convergence....
Set up (Do Not Evaluate) a triple integral that yields the volume of the solid that...
I'm trying to solve for sequence and series question. The sequence goes from n=2 to infinity...
A company produces a special new type of TV. The company has fixed costs of $471,000...
Find the equation of the tangent line to y= cos x at x= pi/2
find area of surface by rotating the curve y=x^2, from [0,1] about the y-axis
1. Sketch the parametric curve [being careful with the domain restriction]. Also, eliminate the parameter to...
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its...
4. Use the definition of the derivative to the find the derivative . y= -x^2+3x Derivative:...
A bookstore has an annual demand for 20,000 copies of a best-selling book. It costs $0.10...
If at x = n the derivative is 0 b) f (x) = 0 c) we...
Both horizontal margins of a painting must each be 6cm and both vertical margins must each...
Evaluate the following double integral by first converting to polar coordinates: SS(e^(x^2+y^2)dydx 0 ≤ x ≤...
Use the Laplace Transform method to solve the following differential equation problem: y 00(t) − y(t)...
Determine the intervals on which the following function is concave up or concave down. Identify any...
Determine the intervals on which the following function is concave up or concave down. Identify any...
Use the model for projectile motion, assuming there is no air resistance and g = 32...
A car rental agency rents 420 cars per day at a rate of $20 per day....
Find the absolute extrema of the function on the closed interval f(x)= 1 - | t...
A particle is moving with the given data. Find the position function of the particle a(t)=...
10. You are planning to make an open rectangular box from a 16-in. – by -20...
1. Find the absolute maximum and minimum values of each function on the given interval SHOW...
A particle moves along a line with velocity v(t)=(3 - t)(2+t), find the distance traveled during...
a) Find all x- values of the critical values and relative extrema. Then find the intervals...
Use a detailed analysis to set up but not evaluate an integral for the volume Z...
A solid region has a circular base of radius 3 whose cross-sections perpendicular to the x-axis...
4. Given the function f(x)=x^5+x-1, which of the following is true? The Intermediate Value Theorem implies...
Determine the dimensions of a rectangular box without lid, of maximum volume if the total surface...
Solve the initial value problems . 3. (d^2 y)/(dx^2 )=1-5x;y^' (0)=2,y(0)=4
Find the antiderivative f(x) = 3x^2 + 4x + 5 f(x) = 3 cos x f(x)...
A 8.5 by 11 inch piece of paper has an identical square (with side length x)...
Find 1)limx→−2 x^3+8/x+2 2)limx→1 x^8 − 1/x^5 − 1
For the curve f(x) = 2x 3 − 9x 2 + 12x − 5, find (i)...
Evaluate the line integral of (x2+y2)dx + (5xy)dy over the border of circle x2+y2=4 using Green's...
A droid positioned on the ground 414 m from the base of the CN tower shines...
Use Green's Theorem to find the counterclockwise circulation and outward flux for the field F=(3x−y)i+(y−x)j and...
Find the area of the largest rectangle that can be inscribed in a semicircle of radius...
A cable runs along the wall from C to P at a cost of $3 per...
Homing pigeons avoid flying over large bodies of water, preferring to fly around them instead. Assume...
A box with square base and open top is to have a volume of 10?3 ....
Find the volume of the solid generated by revolving the region bounded by the graphs of...
Find the potential function f for the field F=2x i+8y j+3z k.
using newtons method to find the second and third root approximations of 2x^7+2x^4+3=0 starting with x1=1...
Suppose that the marginal profit function for a company is 120 + 34 x − 3...
Find the minimum of f(x, y, z) = x2 + y2 + z2 subject to the...
Solve the ODE: ( 3x^2 − 4xy − 3 ) + ( − 9y^2 − 2x^2...
Obtain the differential equation of the family of parabolas with axis parallel to the x-axis and...
Suppose that f(2) = −3, g(2) = 4, f '(2) = −1, and g'(2) = 5....
Given the following function: Y= (2x + 1)3 (x-1) a) Determine where the function is increasing...
Find the average value of the following function where 2≤x≤5 f(x)= sqrt(x^2-4)/x dx
a) Let y be the solution of the equation y ″ − y = 3 e^(2x)...
Find the absolute maxima and minima of the function on the given domain T(x,y)=x2+xy+y2-6x+3 on the...
Find the maximum and minimum values of x2+y2 subject to the constraint x2-8x+y2-4y=0 minimum value of...
A tank originally contains 130 liters of water with 10 grams of salt in solution. Beginning...
Find the absolute maximum and minimum values of f(x,y)=4xy+x^2 on the triangular region D in the...
Water flows into a conical container at a rate of 5 m3/s. Assume that the container...
Compute the Maclaurin series for the following functions: (a) f(x) = (2 + x)^5 (b) f(x)...
3. A consultant determines that the annual profit of a certain company, (in dollars) is given...
1.Find ff if f′′(x)=2+cos(x),f(0)=−7,f(π/2)=7.f″(x)=2+cos(x),f(0)=−7,f(π/2)=7. f(x)= 2.Find f if f′(x)=2cos(x)+sec2(x),−π/2<x<π/2,f′(x)=2cos(x)+sec2(x),−π/2<x<π/2, and f(π/3)=2.f(π/3)=2. f(x)= 3. Find ff if...
Theorem 4 states “If f is differentiable at a, then f is continuous at a.” Is...
use logarithmic differentiation to find the derivative of y=\frac{(x+3)^2}{(x+2)^5(x+4)^7}
what is the derivative of 5e^x
Evaluate the triple integral. 2 sin (2xy2z3) dV, where B B = (x, y, z) |...
I am not sure how to solve it. The production of a manufacturer is given by...
Find the derivative of the function G(x)=1/2x^4+5x^3−x^2+6.8x+ square root of 3
Consider the following vector field. F(x, y, z) = 6yz ln x i + (3x −...
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