The monthly sales of Sunny Electronics’ new iSun media player is given by q(t)=1,077t−64t^2 units per month, t months after its introduction. The price Sunny charges is p(t)=108−t^2 dollars per iSun, t months after introduction. Find the rate of change of monthly revenue 2 months after the introduction of the iSun.

Q: A cat is falling from a branch. Its height t seconds after it fell is given by the function h(t) =…

A: We have given height  ht=-16t2+5 To get for what height cat was falling  Put t=0 h0=0+5 h0=5 height…

Q: Differentiate y = 2(2x - 1)5/4.(2x + 1)3/4

A:

Q: home owner installs a solar heating system, which is expected to generate savings at the rate of…

A: Given query is to find the formula for total savings in t year.

Q: Differentiate y = 5/x4 - x3 + 1.

A: We need to differentiate y = 5/x4 - x3 + 1.

Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

A:

Q: solve and graph y=2(2^x)

A: Consider the function

Q: Find the linearzation to appraximate (1.999)^3

A: We have to find the value

Q: Solve for X.  37-x^2 = x^2

A: In this question , we can solve the value of 'x'.

Q: Solve for x. (8/x^2-25)-(2/x-5)=(1/2x+10)

A: Just make denominator of each side equal.

Q: A graph of a function f is given. 1 y 1 0 1 X

A: Given: Graph of the function y=fx. To find: Value of f-17. Concept used: Consider a function y=fx,…

Q: Find the annual percent increase or decrease that y=0.35(2.3)^ x models.

A: The explanation of answer as follows

Q: The depreciation of the value for a car is modeled by the equation y = 100,000(.85)* for x years…

A: To determine the year in which the value of car is 1/4th of its original value.

Q: Rewrite the expression a in radical form. %3D

A: Here I am attaching image so that you understand each and every step.

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.