plane flying horizontally at an altitude of 1 mile and a speed of 500 mi/h passes directly over a radar station. Find the rate at which the distance from the plane to the station is increasing when it has a total distance of 5 miles away from the station. (Round your swer to the nearest whole number.) mi/h

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A: Topic   = Limits

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Q: An airplane is flying overhead at a constant elevation of . A man is viewing the plane from a positi...

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A: Given query is to find rate of change of sales , price and revenue.

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Q: Find an equation of the plane containing all of the points below: P: (3, -2, -1), Q: (1, 1, 1), R: (...

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Q: Use Newton's Method to approximate the zero(s) of the function. Continue the Iterations until two su...

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Q: Væ2 - 64 dx. Evaluate

A: To evaluate: I=∫x2-64x3dx Substitute u=x2-64⇒du=12x2-64(2x) dx⇒dx=ux du  

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Q: V4-3x, if xs-4 g(x) = 16 げx>-4 a) lim g(x) = b) lim g(x) = c) lim g(x) =, x-4 x-4 x-4*

A: We are asked to find  limit of the function.

Q: Find the area bounded by y = x2 – 2x – 3 and y = x + 1.

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Q: Solve the following differential equations. Indicate the (Differential Equations) method/s used at t...

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Q: A company has determined their yearly cost function, in dollars, to be given by 1,600x 5/2 C(x) = 6x...

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A: Topic:- derivatives

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Q: Find the limit. Enter DNE if the limit does not exist. lim (z,y) → (0,0) ² + 15y²

A: Here we will solve the given limit,

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Q: A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the ...

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Q: 1. cos'x sin x dy + (y cos³x - 1) dx = 0 2. xy' =2xex - y + 6x2 3. (x+1)dy = (2xe* - xy - 2y)dx 4. y...

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Q: 3. y = V(2x + 5)3

A: (3). Given: y=2x+534   The chain rule: fgx'=f'gx·g'x The Power law: ddxxn=nxn-1

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A: We need to choose correct option.

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Q: 3. Using the steps in solving for homogeneous differential equations, evaluate: dy x² + 2y² dx ху

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Q: y = C1e2 + C2e- y' +y – 2y = 0 y" + y + 2y = 0 O Option 3 O option 1 y" – y +2y = 0 %3D

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Q: A quadratic function f is given. f(x) = x2 − 4x + 5   Express f  in transformation form.

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Q: Consider the function (* if a 1 Evaluate the definite integral. f(x) dr

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Q: IV. SOLVE THE FOLLOWING MAXIMA/MINIMA PROBLEMS. Show the figure. 1. The strength of a rectangular be...

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Q: Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

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Q: III DISCUSS THE PROPERTIES OF THE CURVE AND SKETCH FULLY (drawn to scale) 1. y = (1/3)x - (1/2)x? - ...

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Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the vo...

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-a...

Q: 1 a³ + a?y + æ³ Vx+y In x – In y – e In(x – y)

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Q: A baseball diamond is a square with side 90 feet. A batter hits the ball and runs toward first base ...

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Q: Given that a1= -15 and d=-4, find the first six terms

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Q: Consider the given isosceles triangle of base 10 inches and side lengths x inches. If is increasing ...

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