21. A window is composed of a rectangle with a semicircle above. If the perimeter is 16.0 m, what dimensions will make the area of the window a maximum?

Q: - t+t² g(x) = √3x +z-t dt 1

A: g(x)=∫13xt+t22−tdtProperty of definite integral∫abf(x)dx=−∫baf(x)dx

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A: Given cost function is

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A: To find the maximum yield.

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A:

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A: given function

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A:

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A:

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A: The objective of the question is to find the antiderivative or integral of the given function f'(x)…

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A: To find the general solution of the following differential equation.

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A:

Q: 4. Consider z = ²-y tan(x); x = s/t, y = s²t², use appropriate chain rule to find Əz/at.

A: Consider , by using appropriate chain rule to find ..

Q: tan x dx

A:

Q: b) Solve the following rational equation for the indicated variable. Be sure check for extraneous…

A: To solve the following rational equation.

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A: x=t7+1,y=t8+t;t=−1x(−1)=−1+1=0y(−1)=1−1=0(x0,y0)=(0,0)Using the power Ruleddxxn=nxn−1

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A:

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A:

Q: 15 Find sin 2x, cos 2x, and tan 2x if tanx = 8 sin 2x = cos2x - 0 tan 2x 0 - 8 X and x terminates in…

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A:

Q: Find the general Solution For D-E Sin2x dx - 3¹² cos ²x dy = 3y³ 2 =O

A:

Q: Express the limit as a definite integral on the given interval. 72 Part 1 of 2 lim Σviln(2 + x) Δ.,…

A: The definite integral  can be written in a limited form on the interval [a,b] as

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A:

Q: please shed some light on how you got the critical numbe

A: So, f'(x)=0 gives us

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Q: 1. Describe the convergence of the series 3! + 3² + + (n+1)² (n + 2)! +

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Q: Jessica works 30 hours per week between two part time jobs. When she works as a waitress, she…

A: total work per week = 30 hours jessica works as a math tutor, she receives $17.5 per hour. jessica…

Q: 2² y² Mikayla is a calculus student and needs to find the points on the ellipse + 81 1296 = 1 that…

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Q: Evaluate this integral | √2 3 (1+x) + C √x(1 + x² ) 5 dx (1+x)³ +C 3 ○ 2 √ (1 + x ³ ) 6 + C Va 3 6 3…

A:

Q: Suppose that the radius of convergence of the power series   cn xn is R.     What is the radius of…

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Q: After finding the partial fraction decomposition, 10 x-6 -3x + 7 2 x + 3 + X 0 3x + 4 x² + 3 S +…

A: Consider the integral

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A:

Q: Sketch the graph of f(x) = 2x + 3 on the interval [0,4]. Choose the correct graph below. A. Ay OB.

A: Here, We need to find the graph of the given equation f(x)=2x+4 in Interval [0,4]

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A: Consider the polar curve

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A: