1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
3 years ago
10

Differentiate with respect to t.. y = b cos t + t2 sin t

Mathematics
2 answers:
Marysya12 [62]3 years ago
6 0
We are given with the expression y<span> = b cos t + t2 sin t and is asked to differentiate the function in terms of t. Based in the power law and law of products, we apply these to the given expresssion. the derivative is y' = -b sin t + t^2 * (cos t) + sin t * 2t. This is equal to  </span>y' = sin t (-b +2t) + t^2 cos t.
Leni [432]3 years ago
6 0

Answer:

\frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

Step-by-step explanation:

Given : Equation y=b\cos t+t^2\sin t

To find : Differentiate with respect to t ?

Solution :

Equation y=b\cos t+t^2\sin t

Differentiate with respect to t,

\frac{dy}{dt}=\frac{d(b\cos t+t^2\sin t)}{dt}

\frac{dy}{dt}=\frac{d(b\cos t)}{dt}+\frac{d(t^2\sin t)}{dt}

We know, \frac{d(\cos x)}{dx}=-\sin x

Applying product rule, \frac{d}{dy}(u\cdot v) =u'v+v'u

\frac{dy}{dt}=-b\sin t+\frac{d(t^2)}{dt}\times \sin t+\frac{d(\sin t)}{dt}\times t^2

\frac{dy}{dt}=-b\sin t+2t\times \sin t+\cos t\times t^2

\frac{dy}{dt}=-b\sin t+2t\sin t+t^2\cos t

\frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

Therefore, \frac{dy}{dt}=\sin t(-b+2t)+t^2\cos t

You might be interested in
Do anyone know the answer
Vlada [557]

Answer:

A

Step-by-step explanation:

Domain the "input" to the function, range is the "output" of the function.

6 0
2 years ago
Read 2 more answers
if two angles of a triangle have measures of 42 degrees and 20 degrees what is the measure of the third
Mila [183]
Every triangle has an angle measure of 180 degrees.

so 42+20+x (where x is the measure of the third angle)=180

Combine like terms.

62+x=180

Subtract 62 from both sides

x=118.
3 0
3 years ago
What percent of the goal had the 6 grade reached in September?
jeyben [28]

Step-by-step explanation:

4 0
3 years ago
I NEED A QUICK ANSWER I WILL GIVE YOU BRAINLIEST!!! If I drive 20 minutes a day for 185 days how many hours would that be?
slavikrds [6]
I think its about 62 hours because you multiply the 185 days by 20 minutes and get 3,700 so you divide that by 60 and get 61.6666667. so the answer is 62 hours?
8 0
3 years ago
What is the percent of increase from 30 to 54?<br><br> Write your answer using a percent sign (%).
just olya [345]
54 - 30 = 24
Take the orginal number and place on the bottom
The orginal number is 30
24/30, if you need to simply find this number it will be 4/5
When you divide 4/5 it will be .80 or 80%
5 divide by 4 is equal to
Answer: 80%
Hope this help
7 0
2 years ago
Other questions:
  • Show 1.25 and -1.25 as points on a number line. -2 -1 0 2 What is the distance between the two points? Explain. Which two points
    8·2 answers
  • The system of equations is graphed in the figure. <br><br> What is the solution of the system ?
    8·1 answer
  • Show Your Work
    14·1 answer
  • Please help!<br><br> What is the coefficient of the term of degree 4 in the polynomial below?
    11·1 answer
  • Find the volume of the solid.<br> 26.<br> 13<br> 16<br> 12<br> show how you got it
    8·1 answer
  • Solve the qn in attachment .​
    15·1 answer
  • -2-(-7)= help me pls.
    5·2 answers
  • Why should you check the solution in both equations of a system?
    10·1 answer
  • Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?
    9·1 answer
  • Find the equation of the circle in standard form given the center, point or radius. Show your solution.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!