Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm.

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A: A detailed solution is give

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A: Given ∫13381+x2 dxTo evaluate the integral:

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A: Given ∫lnxx4-ln2xdx

Q: Evaluate 1¹ 1 - cos 2x sin 2x dx In | csc 2x + cot 2x | -ln | sin 2x | +C In 1|csc 2x-cot 2x |--In |…

A: The given integral is: I=∫1-cos2xsin2x   As we know the common integrals; 1). ∫cscxdx=lncscx-cotx+C…

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A: To find out the correct option.

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A: The volume of the water remaining in the tank after t minutes V=50001-t402  gallons

Q: Determine the sum of the following series. NOTE: Enter the exact, simplified answer as improper…

A: We have to find the sum

Q: Use any method to determine whether the series converge. ∞ 1 (2) Σ 4k k=1 The series (5) Σ k=1 The…

A:

Q: To test this series for convergence n n=1 √n² +1 8 You could use the Limit Comparison Test,…

A: We will solve this question using limit comparision test.

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny Live Love ex+y dxdy 0

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Q: 15. A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: By using Chain Rule, find au/ax, au/ay, du/az at (x, y, z)=(√√3,2,1) U= P-q q-r p= x+y+z q=x-y+z,…

A:

Q: Evaluate using Partial Fraction Decomposition: S x2 (x+1)²(x-1) -dx

A: We know, ∫dxx-a=lnx-a, for any real number a ∫dxxn=x1-n1-n, for any real number n.

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A:

Q: Choice

A: Please refer to the image below

Q: Q3- Sketch the region of integration and evaluate the integral: In8 lny [TD [t ex+y dxdy

A: Given problem:-

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A: Remember power series expansion for f(x)=11-x; x&lt;1 is  f(x)=11-x=∑k=0∞xk

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Q: 4. Draw a sketch of the following angles. Identify the acute related angle (a) and draw the related…

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Q: 4dx x- 3√x²

A: Evaluate the integral

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A: Let's express as a fraction.

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Q: Determine if the improper integral •+∞ dx x ln7 x is convergent or divergent.

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Q: f is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an abso inimum value…

A: Topic:- calculus    Definition :-  Extreme Value Theorem   If a function f(x) is continuous on a…

Q: an isosceles triangle! 9. Find an equation of the sphere that passes through the point (4,3,-1) and…

A: Given problems:- 9. Find an equation of the sphere that passes through the point (4,3,-1) and has…

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Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 20 cm. Answer:…

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Q: ve for y esec(4y²-6y+14) = 3x + 1

A: We have to solve for y of the given equation

Q: Q3- Sketch the region of integration and evaluate the integral: In8 Iny ["C ex+y dxdy

A: Given double integral ∫1ln8∫0lny ex+y dx dy

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Q: Which of the following is equal to In 4 ? 4 offen O et dt 1 O ln 3 + ln 1 dt of - In 8 In 2 t

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Q: ng the problem) an interval in which the solution of the given initial value proble (t-4)y' + (Int)y…

A: We have to find the interval of t

Q: Suppose that the function fis defined, for all real numbers, as follows. x-2 if x < -2 f(x) = 3x+2…

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Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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Q: A coulomb is the same as; * O Ampere.second Ο Ο Ο Ο Ampere.second^2 Ampere/second Ampere/second^2

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Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: Consider the region bounded by y = e*+1, y = 1, and y-axis. 15 0.5 -0.5 0 Using the Cylindrical…

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Q: Solve for y esec(4y²-6y+14) = 3x + 1

A: