What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 121 in.3, and is constructed using the least amount of material? (Round your answers to two decimal places.)

Q: J sin³ycos ydy. Evaluate: cos y A cosy C 6 8 cosºy B cosoy +C 8 6 c) none of the given choices cosºy...

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Q: H.W: Find y, y"and. y" for the fullowing -2X -xe 3- y=a Sin 3X 一ズ 2.y=eInx 4.y= In(Sex. = In (Sex +t...

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Q: I-71+6 if a 0 I-6 discontinuous? t what value/s of x is/are the function of f(x). 2 if a = 0 Ox=-6,6...

A: Given query is to find the point of discontinuity.

Q: Question 1: The 3x3 matrix A is given below: [3 A = |1 [4 01 1 1 -1 3] a) Show that A only has two e...

A: The given matrix,A=3001114-13

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Q: 2. Determine the convergence or divergence of the following series. 00 1 (a) E (Use Integral Test.) ...

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A: We have

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A: We have to find the volume of the region.

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A: We will evaluate the definite integral using the formula given in #113 as following.

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Q: Je sin( -4x)dx 3r Su

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A: Inverse laplace transformation of -s2-26s-20s+12s+6

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Q: Given cost and price​ (demand) functions C(q)=120q+45,000 and p(q)=−1.8q+880​, What price should be ...

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Q: Let a and b be non-negative real numbers. Provide an example of an improper integral of the form f(x...

A: Given problem :-

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A: We need to simplify the equation.

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)...

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Q: Find a power series representation for the function. (Give your power series representation centered...

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Q: Find the general solution to the differential equation. dx 130 dt : = 3r° (x² + 4) -

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Q: (지+9) (x-3)

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Q: An employee wants to invest $60,000 in a pension plan. One investment offers 5% compounded semiannua...

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Q: 5. The management of Porter Airlines finds that its monthly marginal revenue can be approximated by ...

A: find revenue function using integration

Q: Consider the function f(x)=x^4−98x^2+10,    −6≤x≤15. This function has an absolute minimum value eq...

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Q: Find the radius of convergence, R, of the series. (-1)"x" n = 1 R = Find the interval, I, of converg...

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Q: Given cost and price (demand) functions C(q) = 120q + 44,000 and p(q) = - 2.1q + 880, What price sho...

A: To find the maximum profit.

Q: Determine the indefinite integral (do not include the "+c" and do not include absolute value symbols...

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Q: 7-10z +9 if z +0 nction of f(z) I-9 discontinuous? 2 if 0

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A: Given f(x)=sin2(x)

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A: The given cost function,   Cq=q3-130q2+26000q

Q: The integral expression: Ocos20 d0 can be evaluated by parts of the form: | udv= uv · vdu.

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Q: dy/dx: if x=tan(x+y)

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Q: The annual sales S of a new product are given by 6000t2 7 + t2' where t is time in years. Osts 3 (a)...

A: The answer is in below steps.

Q: 2x 3 . Compute each of the following. Simplify your answer and use Consider the function f(c) %3D I ...

A: Given the function  f(x) = 2x-3x+2 We know that  uv' = v·u'-u·v'v2

Q: nt Use A = P(1+)" where: A = the amortized amount (total loan/investment amount over the life of the...

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Q: A 6.2 ft tall man is walking away from a 21 ft tall lamp post. If he is walking at a rate of 4 ft/s,...

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Q: Find the volume of the solid generated by revolving the shaded region about the y-axis. 0.5 x3 tan 1...

A: Volume of the solid generated by revolving about y-axis :  Suppose that x=f(y) is a continuous non-n...

Q: Evaluate: lim (– Im(3x)) O-00 O DNE

A: To evaluate the limit.