25,270 Answered Questions for the topic calculus
Calculus
11/11/24
A 1125 cubic feet open-top rectangular tank, with a square base x feet on a side and y feet deep, is being built to catch runoff water.
A 1125 cubic feet open-top rectangular tank, with a square base x feet on a side and y feet deep, is being built to catch runoff water. A realistic cost function might beC(x) = 6(x2+4xy)+10xyWhat...
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Calculus
11/11/24
A manufacturer of lightweight, durable containers is contracted to make cylindrical containers to hold liquid. They find that the manufacturing cost depends on the radius of the cylinder they make
A manufacturer of lightweight, durable containers is contracted to make cylindrical containers to hold liquid. They find that the manufacturing cost depends on the radius of the cylinder they...
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Calculus
11/11/24
Power over Ethernet systems pass electrical power and data safely on Ethernet cabling.
Power over Ethernet systems pass electrical power and data safely on Ethernet cabling. The function C(x) = (135+x2)/175xrelates the weekly cost (in thousands of dollars) to a company, to the...
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Calculus
11/11/24
A company uses the model R(x) = (600x2-x3)/20000
A company uses the modelR(x) = (600x2-x3)/20000To relate its revenue R (in thousands of dollars) to the amount of money x (in thousands of dollars) it spends on advertising. Find the point of...
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Calculus Math
11/10/24
Continuity and Differentiability from a Real Analysis Standpoint
Let fa(x) = {xa if x > 0 {0 if x <= 0a) For which values of a is f continuous at 0?b) For which values of a is f differentiable at 0? Is the derivative function continuous? c)...
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Calculus
11/09/24
Slope and angle at theta
telephone line hangs between two poles 8 meters apart in the shape of the catenary curve đŠ =10 cosh(đ„/10) â 5, where x and y are measured in meters.A. Find the slope of this curve where it meets...
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Calculus
11/07/24
Find the Length and width of a rectangle with a given area and minimum perimeter. Area = A square centimeters.
I'm not sure how to solve for length and width if it doesn't give me the area.This is a calculus problem, exercise 10 on page 216 of 7th edition calculus.
Calculus
11/07/24
Find a power series representation and What is the radius of convergence, R for all
a) f(x)= ln(1+x)(b) Use part (a) to find a power series for f(x) = x ln(1 + x).(c) Use part (a) to find a power series for f(x) = ln(1 + x4).
Calculus Differential Equations
11/07/24
Calculus Question
Find the derivative of the functionshow rules used if possible f(x) = 4/ (11x - tanx)
Calculus Differential Equations
11/07/24
Calculus Question
if F(x) is an antiderivative of f(x), then F(x) is increasing when f(x) is positive.true/false?
Calculus Math
11/07/24
please help!! urgent
Find the points on the given curve where the tangent line is horizontal or vertical: đ = cos đ + sin đ.
Calculus
11/06/24
A company has $27600 to spend on the development and promotion of a new product.
The company estimates that if x is spent on development and y is spent on promotion, then approximately (x^3/2*y^1/2)/80000 items of new product will be sold. Based on this estimate, how much...
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Calculus
11/06/24
A company has $ 27600 to spend on the development and promotion of a new product. The company estimates that if x is spent on development and y is spent on promotion,
then approximately (x^3/2*y^1/2)/80000 items of new product will be sold. Based on this estimate, how much should the company spend on development so the maximum number of products can be sold?
Calculus
11/04/24
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. 10 x4 + 5 dx, n = 4 2
Keep getting the wrong answer
11/03/24
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. (I keep getting one wrong, not sure which).
â«[from 2 to â] (1 / â(x^3 + 8)) dx (I...
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11/02/24
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. I keep getting 1 of them wrong, i'm not sure which one.
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. I keep getting 1 of them wrong, i'm not sure which one. Can you please help ASAP?...
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Calculus
11/02/24
Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function.
Identify the coordinates of any local and absolute extreme points and inflection points. Graph the function.y=(â3x) - 2cosx, 0 †x †2pi
Calculus Mathematica
11/02/24
A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes through this intersection and continues at a constant speed of r mph...
A road perpendicular to a highway leads to a farmhouse located d miles away. An automobile traveling on this highway passes through this intersection and continues at a constant speed of r mph....
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Calculus Mathematica
11/02/24
A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 12 miles away and produces a dot of light that moves horizontally along the wall. How fast (in mph)...
A searchlight rotates at a rate of 3 revolutions per minute. The beam hits a wall located 12 miles away and produces a dot of light that moves horizontally along the wall. How fast (in miles per...
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Calculus
11/02/24
The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The thickness of the rind is always one tenth of the radius.
 The radius of a spherical watermelon is growing at a constant rate of 2 centimeters per week. The thickness of the rind is always one tenth of the radius. The volume of the rind is growing at the...
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Calculus
11/01/24
Solve the equation for x
y = ((â3)/(2âx))+2sinx = 0y = -((â3)/(4x3/2)+2cosx = 0y = cos2x = 0y = -sin(2x)âą(2) = 0
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent.
Determine whether each of the following integrals is proper, improper and convergent, or improper and divergent. I keep getting 1 of them wrong, i'm not sure which one. Can you please help ASAP?...
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Calculus
11/01/24
Integration stuff
Set up a single integral with respect to y that would find the area bounded by y = 3 sqrt(4-x), y = 1/3x+6 and y = 0. I can evaluate it... just, set up the integral and find the bounds?
Calculus
11/01/24
Bounded Integrals
Set up an integral that would find the area in the first quadrant bounded on all sides by x=1, y = 2x^2 and y = 3+5x. You don't have to evaluate it. Please don't show In a video because I cant see...
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Calculus
10/31/24
Area Between Curves
Sketch the Region enclosed by y = 3x and y = 6x^2. Find the are of the region.
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