Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt

y = √x

a) Find dy/dt, given x = 9 and dx/dt = 6.
dy/dt = 

(b) Find dx/dt, given x = 64 and dy/dt = 2.
dx/dt = 

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in

Applications of Derivative

Related Calculus Q&A

Find answers to questions asked by students like you.

Q: The unit circle that follows has been divided into twelve equal arcs, corresponding to t-values of:U...

A: Evaluate  sec11π6

Q: What is x=

A: Given that: The function F(x ) = x45  x - 82 .

Q: f(x) = 8/x; x = -2, x = 1. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find the...

A: f(x) = 8x;    x = -2, x = 1 f(x) = 8x-1   Useful formula:  ddxxn = nxn-1  

Q: Graph the equation x + y = 4 in a rectangular coordinate system. If two functions are indicated, gra...

A: The given equation is: x+y=4 Rewrite into slope-intercept form y=mx+b, where m is slope and b is y-i...

Q: of the tangent line to the graph of f(x) = 7 sin(x) + 6 cos(x) at x = in the form y = mx + b.

A: Click to see the answer

Q: In Exercises 1-16, calculate y" and y".

A: y=4t3-9t2+7 Differentiating with respect to t, we get y/=43t2-92t+0     ∵dxndx=nxn-1  &  dcdx=0,...

Q: How would you approach the next Curvature problem? We need to find the unit tangent vector T and kur...

A: r(t)=∫0tcosπu22du,∫0tsinπu22du,t>0 We have to find the unit tangent vector T and Curvature K for ...

Q: 2. The equation describing the distance traveled by a particle is give by 5 = 312 – 41t + 8 where s ...

A: The distance traveled by a particle is given  by s=3t2-4t+8, where s is the distance in feet and t i...

Q: Convert the angle -4π in radians to degrees.

A: π radian = 180° 1 radian = 180°π