![Tbutler21](/avatars/8833.jpg)
Tbutler21
06.07.2019 •
Mathematics
This is urgent! the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8, where x is the speed (in thousands of revolutions per minute) of the engine. a. to the nearest ten, what is the engine speed that maximizes torque? revolutions per minute to the nearest hundredth, what is the maximum torque?ft-lbs question 2 b. explain what happens to the engine torque as the speed of the engine increases. as the engine speed increases, the torque until the engine speed reaches thousand revolutions per minute and then the torque
Solved
Show answers
More tips
- H Health and Medicine How to Choose the Right Tanning Cream?...
- C Computers and Internet How to Download Movies from Torrents?...
- S Style and Beauty How to Sew Harem Pants?...
- C Computers and Internet Е-head: How it Simplifies Life for Users?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
Answers on questions: Mathematics
- M Mathematics Construct a quadrilateral PQRS such that PQ=RS=7.3cm,angle Q=60°,QR=5cm and angle R=135°....
- M Mathematics James defines a circle as the set of all the points equidistant from a given point. His statement is not precise enough because he should specify that O a circle includes...
- M Mathematics 8. Given that f(x) = /2+21/ and g(x) = 2x+1 find (fog)(-2.3). (greatest integer value function)...
- M Mathematics Given: y=8-3x find the slope and y intercept...
- M Mathematics If the range of the function f(x) =5x + 8 is 18, find its domain....
- M Mathematics Prove that: (sec’A - 1).(1 – sin’A) = sin’A 3....
- M Mathematics - The distance between (5,6) and (-3.8) is 8.2. True False...
- M Mathematics If the perimeter of a rectangle is 124cm & the width is 35cm, what is the length?...
- M Mathematics Center is at C(-4,6) and is tangent to the x-axis...
- M Mathematics Find the midpoint of the line segment with the given endpoints. (-1, 5), (6,6) A) (-3.5, -0.5) C) (13,7) B) (2.5, 5.5) D) (2,6)...
Ответ:
Answer-
a. The engine speed that maximizes torque is 3.1 thousand revolutions per minute and the maximum torque is 74.68 ft-lbs
b. As the engine speed increases, the torque increases until the engine speed reaches 3.1 thousand revolutions per minute and then the torque decreases.
Solution-
The given equation is,
Where x = the speed of the engine (in thousands of revolutions per minute)
y = the engine torque y (in foot-pounds)
a.
In order to calculate the max torque and when it is max, we have to take the help of maxima and minima concepts from application of derivatives.
Equating the first derivative to 0, in order to find critical points,
As the value of second derivative is negative, hence the value of the function at x=3.1 will be maximum.
The value of max torque is,
b.
Calculating the roots of the function,
As these are the roots or x-intercept, the value of the function at these points is zero.
As shown in the graph, the function increases from x=0 to x=3.1 (as the speed can not be negative, so neglecting negative values) and after x=3.1 it decreases.
Ответ:
43.693
Step-by-step explanation: