04/23/20

A trapezoidal trough is to be made from a strip of tin 20 inches wide by bending up the edges. If the base is 8 inches, find the dimensions and the area of the trough of maximum capacity made in.

Please include your solution on how you answer the problem. Thank you!
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12/12/19

Design a cylinder can of volume 1000cm^3
Design a cylinder can of volume 1000cm^3 so that it uses the least amount of metal. Show that h=2r, where h is the height of the cylinder and r is its radius.
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12/08/19

RELATED RATES, RATES, DERIVATIVES, CALCULUS
At a sand and gravel plant, sand is falling off a conveyor onto a conical pile at the rate of 13 cubic feet per minute. The diameter of the base of the cone is approximately four times the... more
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12/07/19

Calculus Question
Find the points of intersection between the line L given by →r = [1,2] + t[−1,1], t ∈ R and the coordinate axes. Sketch a graph of this line and the intersections. 
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11/17/19

Write as a product: b^2c^2-4bc-b^2-c^2+1
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11/17/19

Calculate the double integral ∫∫ xy^2/ x^2+1 dA where the region of integration R= {(x,y)| 0 ≤ x ≤1, -3 ≤ y ≤ 3}

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11/17/19

Evaluate the following integral by converting to polar coordinate system: ∫∫(√4-x^2-y^2)dA, where R={(x,y)| x^2+y^2 ≤ 4, x ≥ 0|}
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10/01/19

You are in a car traveling at 100 m/s. You are hitting both your brakes, giving a constant acceleration of -5 m/s^2. How much time does it take you to stop? How far have you done in that time?
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09/20/19

Claculus Help Plz
(1 point) Below is an "oracle" function. An oracle function is a function presented interactively. When you type in an value, and press the --f-- button and the value appears in the right... more
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09/18/19

Equilibrium for discrete-time dynamical system?
Find the equilibrium for the following discrete-time dynamical system.qt+1 = -2qt + 2.5q* = ?
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05/11/19

Does 4 integrals exist for a problem? Where are it's applications?
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05/11/19

How do I calculate lim (x,y) to (0,0) of (xsiny-ysinx)/(x^2+y^2)?
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04/06/19

The area of a circular sector with a radius of 13 feet is 84 square feet. Find the apporoximate angle of the sector. Round to the nearest degree.
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04/02/19

what are 2 numbers whose product is -13 but whose sum is 12

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03/30/19

How do you make Excel add faster?
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03/22/19

simplifying trig functions
1/x^2√(16+x^2) x=4tan(θ)
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03/21/19

How do you rank in Excel without duplicates?
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03/21/19

What does the protected sheets and ranges function do?
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03/13/19

Basic Integration (math)
how can you integrate the integral of (ax+b)/(cx+d) dx ?
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03/13/19

How do I solve the differential equation: y′′+y′=x2 ?
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03/03/19

Optimization problem
I would like to create a rectangular orchid garden that abuts my house so that the house itself forms the northern boundary. The fencing for the southern boundary costs $8 per foot, and the fencing... more
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03/01/19

Find the third order polynomial

Let f be a function that has derivatives of all orders for all real numbers. Assume f(0)=5, f'(0)=-3, f''(0)=8, and f'''(0)=24. Write the third order polynomial for f at x=0 and use it to... more
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02/28/19

How do you find generalized equations when optimizing using calculus?

We have a homework question that we're struggling with and can't seem to find answers to.The problem involves minimizing lengths of strapping used to fasten different boxes down.The box is always... more
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02/25/19

Implicit differentiation of a clock face
The hour hand of a clock is 5 inches long and the minute hand is 7 inches long. At the moment the hour hand is positioned at 3 and the minute hand is positioned at 7, what is the instantaneous rate... more
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02/24/19

Rates in Calculus
A man of height 1.9 meters walks away from a 5-meter lamppost at a speed of 1.6 m/s. Find the rate at which his shadow is increasing in length. (Round your answer to three decimal places.)
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