Question
Asked Nov 11, 2019
17 views

Find the area enclosed by the given curve and the y-axis.
x = t2 − 3t
y = square root of t

check_circle

Expert Answer

Step 1

From y=sqrt(t) find t=y^2

Then plug it in x=t^2-3t

So the curve is: x=y^4-3y^2

help_outline

Image Transcriptionclose

у3V у'3 x-t2-3t х-(у)-Зу? X-у'-3у?

fullscreen
Step 2

We graph the curve and y axis.

help_outline

Image Transcriptionclose

2- -3 -2 2 -2 CN

fullscreen
Step 3

Plug x=0 in x=y^4-3y^2 to find where they cuts each other. y= -sqrt(3) ...

help_outline

Image Transcriptionclose

y4-3y2=-0 y y2-3)-0 =3 y-0, y t3

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Calculus

Other

Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: Find the absolute extreme values of the function on the interval

A: Refer to the question we have to find the absolute extreme values of the function provided on the gi...

question_answer

Q: Find the Taylor series for f(x) centered at the given value of a. [Assume that f has a power series ...

A: The given function is,

question_answer

Q: The function f has a domain of [0,5] and a range of [0,2]. Start by sketching a potential graph of f...

A: The function f has a domain of [0,5] and a range of [0,2].Consider g(x)=f(x)+6.If we vertically shif...

question_answer

Q: Determine the intervals on which the following function is concave up or concave down. Identify any ...

A: Find first derivative using product rule and chain rule.

question_answer

Q: 2. For a period of time, an island's population grows at a rate proportional to its population. If t...

A: Let A0 be the initial population and k be the growth rate.A0 = 1174k = 6.5%  = 0.065

question_answer

Q: Consider the following 10(1.375)15t = 40 (a) Find the exact solution of the exponential equation in ...

A: Part (a):To find the exact solution of t in terms of logarithms.

question_answer

Q: I need help understanding how to solve letter E. Using L'Hopitals rule.

A: To use L’Hospital’s rule, differentiate the numerator and denominator separately with respect to the...

question_answer

Q: Lea invests $8,333 in a savings account with a fixed annual interest rate of 8%. What will the accou...

A: According to questionInitial balance (p) = $8,333Interest rate (r) = 8%Time (t) = 12 yearIt is given...

question_answer

Q: Find the area of the surface. The part of the paraboloid x = y^2 + z^2 that lies inside the cylinder...

A: Click to see the answer