A rectangle has a perimeter of 120 meters. What dimensions yield a maximum area? Let the domain of the function be [10, 60].

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A:

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A: Given:  To Find: To simplify the given expression.

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A:

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A:

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A:

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A: Here we have to find the orthogonal trajectories of the family of curves ax2 + by2 =c.

Q: Solve for x without using a calculator

A:

Q: 7 -4 -5 4 4 A = c- 5 -2 C = -5 8. B =| -7 -3 D = 7 -5 4 -7 -1 -1 -8 -6 4 -3

A: DBC=-5247-54-64-37-4-7-3-1-8-28-5-1 NOW…

Q: What value of x will make the length of the box three times as big as the width?

A: see below the answer and explanation

Q: Evaluate lim x-2+ 2x + [2x] x² + x - 2 and lim x+ 2 2x + [2x] x²+x-2

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Q: Evaluate the complex integral e19.2.png •x+yi Vaz + b dz if a = 8, b = 21, c = 11, x = 1, and y = 4.…

A:

Q: Problem 5. a) Find the general solution to the second order homogeneous linear ODE y" (t) + 4y(t) +…

A:

Q: 4. The velocity of a speed boat in ft/sec at selected times is given in the table. t 10 15 20 25 30…

A: (a) Acceleration = Change in velocitychange in time

Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: Solve for x. Show or explain your work. Then, verify that your solution is correct. 5(2x + 5) = 6 -…

A: To solve for x. 52x+5=6-10-x

Q: Solve equation. Give the exact solution. Answer should be as a comma-separated list) 3x^2+3x = 1/9

A:

Q: 4y x + 4 6(y-1) 4x -2

A:

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

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A:

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Q: Use a sketch to find the exact value of the expression.

A: Given expression: tancos-1-13 Consider the value of cos-1-13=y. Therefore, the given expression…

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A: Short Explanation::-