Already have an account? Get multiple benefits of using own account!
Login in your account..!
Remember me
Don't have an account? Create your account in less than a minutes,
Forgot password? how can I recover my password now!
Enter right registered email to receive password!
Derivatives to Physical Systems:
A stone is dropped into a quiet lake, & waves move within circles outward from the location of the splash at a constant velocity of 0.5 feet per second. Determine the rate at that the area of the circle is increasing when the radius is 4 feet.
Solution:
Using the formula for the area of a circle,
A = πr2
obtain the derivative of both sides of this equation along with respect to time t.
dA/dt = 2πr (dr/dt)
But, dr/dt is the velocity of the circle moving outward which equals 0.5 ft/s and dA /dt is the rate at which the area is increasing, that is the quantity to be determined. Set r equal to 4 feet, substitute the known values into the equation, and solve for dA /dt.
dA/dt = 2πr(dr/dt)
dA/dt = (2)(3.1416)(4 ft)(0.5 ft/s)
dA/dt = 12.6 ft2/s
Therefore, at a radius of 4 feet, the area is raising at a rate of 12.6 square feet per second.
Prove: cotA/2.cotB/2.cotC/2 = cotA/2+cotB/2+cotC/2
The population of a city is observed as growing exponentially according to the function P(t) = P0 e kt , where the population doubled in the first 50 years. (a) Find k to three
A toy company produces 2 models of water guns: spray king and zapper. They are manufactured in batches for easier packaging and sale. Two of the limiting resources are 1200 pounds
Higher-Order Derivatives It can be seen that the derivative of a function is also a function. Considering f'x as a function of x, we can take the derivative
2x-3x=6
Factoring Out a Common Monomial Factor? Say you have a polynomial, like 3x 4 y - 9x 3 y + 12x 2 y2 z and you want to factor it. Your first step is always to look for t
What is a review technique? What are its advantages and disadvantages?
Mensuration surface area
what is x(5x4)=26?
how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant
Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!
whatsapp: +91-977-207-8620
Phone: +91-977-207-8620
Email: [email protected]
All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd