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Q: Find the minimum and maximum values of the function subject to the given constraint. (If an answer d...

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Q: Find the smallest outputs of the function x^2+2y^2 on the slanted ellipse x^2+y^2+xy=3

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Q: Volumes of solids Use a triple integral to find the volume of thefollowing solid. The solid in the f...

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Q: Determine the peui cular fodu ñon to the dî fferential eauakon dyこ ngtu which sans Pier 3D3 when to ...

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Q: Find the positive numbers x and y satisfying the equation xy=12 such that the sum 2x+y is as small a...

A: Given:

Q: Find the indefinite integral using the substitution x = 2 tan θ.

A: The given integral is

Q: Solve the following initial value problem: y" – 6y' + 13y = 0,y(a) = b, y'(c) = d Where a= 1, b=4, c...

A: To determine the solution of the equation.  

Q: Evaluate the integrals. It may be necessary to use a substitution first. ∫ x3 + 1/x3 - x dx

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Q: the n-axis A Mmaded reAon § 14 boundeed by the Curve ų = n= [2. the refien Os rotafed through of rec...

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Q: b"+6y'+9y=2+ -9x

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Q: Q4: Find the area bounded by: e) y = 2* , y= x² + 4x and - 4< x< 0.

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Q: Solve  inequality. Use interval notation to express solution sets and graph  solution set on a numbe...

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Q: Find the centroid of a thin, flat plate covering the region enclosed by the parabolas y = 2x2 and y ...

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Q: \sum_{n=1}^{n} \frac{10^{n}}{(-9)^{n-1}}

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Q: Because of the curvature of the earth, the maximum distance D that you can see from the top of a tal...

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Q: Let V1 and V2 be the volumes of the solids that result when the plane region bounded by             ...

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Q: a. Solve the following Initial value problem: xcos (y)dx+tany dy=0, y(2)=4 b. Give two examples of y...

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Q: You are asked to find one of the integrals. Which one would you choose? Explain. (a) ∫√(x3 + 1) dx  ...

A: (a) Let the integral is Use substitution method to solve the integral Since, by substitution metho...

Q: Suppose that the marginal cost for x units of a product is MC=4x+50 the marginal revenue is MR=500 a...

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Q: An offshore oil well is 2 kilometers off the coast. The refinery is 5 kilometers down the coast (see...

A: We sketch the situation roughly  W= well , R= refinery ,  Let the pipe is laid on the red part  Whe...

Q: \sum_{n=2}^{\infty} \frac{2}{n^{2}-1}

A: We first express the summation as subtraction of two summations  

Q: The total cost of  producing 1 unit of a product is given by C(x,y)=30+10x2+20y-xy dollars Where x i...

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Q: (5x³ + 9x² + 75x + 150 dx Consider the indefinite integral x4 + 25x2 Then the integrand has partial ...

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Q: Suppose you want to approximate v8 using three terms from a Taylor series. Compare the accuracy of t...

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Q: Please help solve using la'hopitals Rule, Thank you!

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Q: Based on data from a research group, a model for the total stopping distance of a moving car in term...

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Q: sin x At what points is the function y = y%= continuous? 5x Describe the set of x-values where the f...

A: The given function is a composite function whose elementary functions are  g(x)=sin x h(x) = 5x Si...

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the s...

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Q: A fence 8 ft tall runs parallel to a tall building at a distanceof 4 ft from the building. What is t...

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Q: За3 + 5ӕ? + 5а — 3 dx Consider the indefinite integral x2 1 Then the integrand decomposes into the f...

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Q: Determine whether the series ∞∑n=1 n2−1 /n4 converges or diverges.

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Q: What is a convergent series? What is a divergent series?

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Q: A storage unit has the shape of a hemisphere on top of a cylinder and a fixed volume V (Figure 10a)....

A: It is given that a storage unit has the shape of hemisphere on top of cylinder with dimensions of ra...

Q: Find d2y/dx2 if 2x3 - 3y2 = 8

A: Given:

Q: The following table shows the daily receipts in millions of dollars of the movie "Avatar" for succes...

A: Consider the given table.  

Q: determine whether the geometric series converges or diverges. If a series converges, find its sum.

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Q: Find the particular solution of  y ' = 4x3+3x2 if y(0)=4

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Q: Find the point lying on the intersection of the plane  x + (.5)y + (.25)z = 0  and the sphere  x2 + ...

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Q: What is the value of n?

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Q: can you help this question?

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Q: Evaluate the double integral 2. dy dx 4. 31x

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Q: Solve equation or inequality7(x - 2) = 4(x + 1) - 21. Use interval notation to express solution sets...

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Q: Find equations of all lines having slope - 1 that are tangent to the curve y = x-9 Select the correc...

A:    y = f(x)          at  (x1, y1) equation of line tangent=&gt;  y-y1 = m(x-x1) m = slope = dy/dx

Q: Find the limit of the function

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Q: Question 7 During a promotional sale, a retail store modelled the traffic flow rate of customers ent...

A: Given Data The function of the traffic flow rate of customer enter the store is C’(t)=-75 cos (2πt/5...

Q: Solve equation or inequality 3(x + 4) ≥ 5x - 12. Use interval notation to express solution sets of i...

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Q: 3r/2 4|sen(x)| dx

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Q: İt is just a question on study plan so it isn't effective for the grades of Calculus-2 so if you can...

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