![kcarstensen59070](/avatars/42568.jpg)
kcarstensen59070
30.12.2021 •
Computers and Technology
a curve is defined by parametric functions x(t) and y(t), where dxdt=3t2 and dydt=t7−2t4. for what positive value of t is d2ydx2=1 ?
Solved
Show answers
More tips
- H Health and Medicine Hangover: How to Get Rid of It Quickly?...
- A Auto and Moto How to Start a Diesel Engine in Cold Weather?...
- A Auto and Moto Which alarm system to choose?...
- P Photography and Videography What is lens calibration and why is it needed?...
- S Science and Technology How to Choose a Picture Frame: Tips and Recommendations...
- P Photography and Videography Understanding HDR: How It Works and Why You Need It...
- P Photography and Videography How to Choose the Perfect Photo Paper for Your Images?...
- C Computers and Internet How to Choose an Uninterruptible Power Supply (UPS) for Your Computer: Expert Tips...
- S Science and Technology How to choose a home theater system?...
- A Auto and Moto How to Choose a Car Wash? Tips and Recommendations...
Answers on questions: Computers and Technology
- B Business What is the equity beta for a firm with asset beta equal to 0.9, and D/E ratio of 0.4, and tax rate equal to 35%?...
- M Mathematics Does dx in definite integrals have to be 1....
- S Social Studies When people reach their 40s they enter a timeline of middle adulthood which extends their mid-60s listen vols finding their lives work and contributing to the development of others...
- H History Which reformer took up the case of exposing the dangers and disgraceful working condition a. mother jones b. ida tarbell c. upton sinclair d. samuel mc cure...
- M Mathematics The graph of a sinusoidal function intersects its midline at (0,5) and then has a maximum point at (\pi,6) write the formula of the function, where x is entered in radians. f(x)=...
Ответ:
The route to this result involves a number of steps.
First dy/dx = is easily obtained from the ratio of dy/dt and dx/dt as
dy/dt = (1/3) t5 - (2/3) t2 define Q as dy/dt
What is needed is dQ/dx (the second derivative of y wrt x)
dQ/dx = (dQ/dt) ( dt/dx) but dt/dx = 1/( 3 t2) so
dQ/dx = (5/9) t2 -(4/3) /t
Setting this equal to 1 results in a cubic equation with solution t = 1.525
Ответ: