An alrplane flying at an altitude of 6 miles passes directly over a radar antenna. When the alrplane is 10 mles away (s = 10), the radardetects that the distance s Is changing at a rate of 280 miles per hour. What is the speed of the alrplane?mph6 miNet dnen ale

An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the rada detects that the distance s is changing at a rate of 280 miles per hour. What is the speed of the alrplane? mph mi Not dn le

An airplane flying at an altitude of 6 miles passes directly over a radar antenna. When the airplane is 10 miles away (s = 10), the rada detects that the distance s is changing at a rate of 280 miles per hour. What is the speed of the alrplane? mph mi Not dn le

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 44SE: At the start of a trip, the odometer on a car read 21,395. At the end of the trip, 13.5 hours later,...

See similar textbooks

Related questions

Q: Evaluate the integral (7 – 2x) dæ by interpreting it in terms of area. Answer:

Q: at x = 1 and f(1) = 4 at x = 2 andf(2) = 3 10. There is a jump discontinuity 9. There is an infinite...

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Write the correct u and du. 35 dx 3e 1. J- Ve3x...

A: Given query is to find the value of the integral.

Q: B. Find the slope of the curve at the given point. 1.) y = x? – 5 at (1, -4) 2.) y = 3x? – 4 at (0, ...

Q: 11. The average depth of the Pacific Ocean is 14,040 feet, and its depth is 8890 feet less than the ...

Q: Evaluate the following integral: 1 dx 1+ 36x2 Note that an arbitrary constant has been added for you...

Q: Reduce to first order and solve 1> 2xy"= 3y' Cos n ii) xy"+ 2y'+zy = 0, Y, = ニ

Q: eros voR-SI ioNO WDW WCLN PCMath 12 - Rev. 2019 3. Find the general solutions rounded to two decimal...

Q: 8. The manager of an appliance manufacturing firm determines that when toasters are priced at p doll...

Q: B. IDENTIFICATION, Determine if each function is continuous. If the function is not continuous, find...

A: Infinite discontinuity is a type of discontinuity where one sided or both sided limit go towards in...

Q: z = x² – y² Use this equation 1. Write the equations for xz- and yz-traces. 2. Plot (rough) the xz- ...

Q: п-1 Given the series n=1 Does this series converge or diverge? O diverges O converges If the series ...

Q: Evaluate the definite integral da

Q: II. Select all possible answers. Observe the continuity of each function using the corresponding gra...

Q: Use your knowledge of the Law of Sines and Cosines to solve for 0. 16 4 135° 22.5° 30° sin (2/2) V6 ...

A: Solving the problem by finding the value of theta.

Q: Example: Given the right triangle shown below with side lengths a = 5, b = 9, and c = V106 , find th...

A: Given: a = 5 b = 9 c = √106

Q: 8 sin() Σ n2 mstl n=1

Q: Question 11, 3 Use the properties of limits to help decide whether the limit exists. If the limit ex...

Q: sin z Differentiate y =

Q: The following statement is TRUE except A. Derivative is the same as slope. B. A function is continuo...

A: Given that: A. Derivative is the same as slope.B. A function is continuous at a number a if limx→a-f...

Q: For each specified discontinuity, sketch the graph of a possible function f(x) that illustrates the ...

A: Follow the procedure given below.

Q: dt 4е-t — et

A: ∫14e-t-etdt=∫14et-etdt=∫et4-e2tdtlet et=uthen∫et4-e2tdt=∫14-u2du

Q: The exam has 14 questions, and the total number of marks for the exam is 100. In how many ways can t...

Q: 9. One gear wheel turns another with the teeth being on the rims. The wheels have 40 cm and 50 cm ra...

Q: Given that f(x) = x² g(x) = x + 15, find 11x and | (a) ƒ + g = (b) ƒ – g= (c) fg = (d)

Q: Find the value of the constant k that makes the function continuous. 2x-2x-12 if x#3 g(x) = x- 3 kx ...

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?...

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?

Q: Lan® do In (cos0) 3.

Q: dy 4. Solve the homogeneous differential equation + 6xe x. dx

Q: Evaluate the definite integral: dz 15

A: We have to solve the given definite integral

Q: Write a function based on the given parent function and transformations in the given order. Parent f...

Q: Jse the Linear Approximation to estimate Af for f(x) = when a = 2 and Ax = -. Use decimal notation. ...

A: Given function is fx=95+x2, a=2 and ∆x=-12∆f≈0.22222Compute error and percentage error

Q: f(x) on the 2. Assume that f is twice differentiable. Prove that the curve y = xy-plane has curvatur...

Q: The graph of y = f(x) (solid) and y = g(x) (dashed) is shown 6+ 4 -6 -5 -4 -3 -2 -2- -4- -5- -6+ Fin...

Q: Use the graph of f(x) = e* below to complete part a and b below.

A: Given:- The function is, f(x)=ex and the graph is, To find: - The value of limx→-∞ex

Q: For the curve whose equation is given by z -3xy +y-4x+2y+1-0, deline the equalion of the tangent lin...

Q: Calculate and at the points (7,41, 1) and (7, 41, – 1), where z is defined implicity by the equation...

Q: C. Find the slope and the equation of the tangent line to the curve 1) у 3 2x? - Зх + 1 at (-1,6) 2....

A: Given that: 1. y=2x2-3x+1 at (-1, 6)2. y=x2+x+1 at (-2, 3)3. y=3x2-x+1 at (1, 3)...

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

Q: Guess the value of the limit lim by evaluating the function f(x) =. for x = 0, 1, 2, 3, 4, 5, 6, 7, ...

A: To guess the value of the limit limx→∞ x33xby evaluating the function fx=x33x, for x=0, 1, 2, 3, 4, ...

Q: Evaluate the integral 3 sin(t)dt

Q: Evaluate. V3 sin 士 %3D 2 + = [Select] a = [ Select ] b = [ Select ]

Q: According to Newton's law of cooling/warming, the rate at which the temperature of a body changes is...

A: Find your answer below

Q: Find the limit. (If the limit is infinite, enter 'o' or '-', as appropriate. If the limit does not o...

Q: 6. x+1 f(x)= x?ーx-2 !! 8. f(x) オー1 10. sa) = {*, **1 s(x) = 0, %3D X=1

Q: Find the average rate of change of the function over the given intervals. 3 f(x) = 9x +9; a) [1,3], ...

Q: Express the product as a sum or difference. sin 6x sin 4x (cos 10x - cos 2x) O sin2 24x2 (cos 2x - c...

Q: I. Find the limits of the ff by applying the limit theorems. 6. lim vx² + 5x + 2 1. lim 2021 x→12 x→...

A: 1. limx ~12 2021, function f(x) = 2021 is independent of x limit is 2021 2. limx~7 4x - 3 putting...

Q: 1- y = vx – 1 dy 2- y = prove that (sin x) dx = cOs x

Q: Find all the rational zeros. Write the answer in exact form. 4 3. q (x) = 2x--5x + 2x +2

Question

An alrplane flying at an altitude of 6 miles passes directly over a radar antenna. When the alrplane is 10 mles away (s = 10), the radar
detects that the distance s Is changing at a rate of 280 miles per hour. What is the speed of the alrplane?
mph
6 mi
Net dnen ale

Expert Solution

Step 1

Assume distance of the airplane from the radar is s (say)

height h(say) and horizontal distance of airplane from the radar is x (say)

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

The diameter of a carousel merry-go-round is 30ft. At full speed, it makes a complete revolution in 6 s. At what rate, in feet per second, is a horse on the outer edge moving?
A basketball has a volume of about 455.9 cubic inches. Find the radius of the basketball (accurate to three decimal places).
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
A carbide milling cutter is used for machining a 27.25-inch length of stainless steel. The cutting time is 12.35 minutes, the cutting speed is 240 feet per minute, and the feed is 0.01 inches per revolution. What is the diameter of the carbide milling cutter? Round the answer to 2 decimal places.
The carbon content of machine steel for gages usually ranges from 0.15% to 0.25%. Round the answers for a and b to 2 decimal places. a. What is the minimum weight of carbon in 250 kilograms of machine steel? b. What is the maximum weight of carbon in 250 kilograms of machine steel?