For the function y 6x + 4x + 6, at the point x = 4, find the following. %D (a) the slope of the tangent to the curve (b) the instantaneous rate of change of the function

Q: Find the slope of y = ex at x = 0.

A: Given query is to find the slope.

Q: For the function y = 8x2 + 6x + 2, at the point x = 5, find the following. (a) the slope of the…

A: Given function is: y=8x2+6x+2 and the given point is x=5

Q: Given that b = 5 and c= 8, evaluate csc 0. Give your answer in exact form (no decimal equivalents).

A: Given lengthsb = 5 c = 8 As we know that cscθ = hypotaneousperpendicular

Q: 9, etermine whether the equation y%D - x defines y as a function of x.

A: Yes, because for any input x, the equation yields only one output y.

Q: Between the ages of 7 and 11 years, a certain boy grows 1.5 inches taller each year. At age 8, he is…

A: solution -  Here it is given that every year boy's height increasing 1.5 inches so it is a constant…

Q: The value, v of a computer is modeled by the function V(t)=500(0.82)^t where t is the number of…

A: The value of computer is modeled by the function,  V(t) = 500(0.82)t Where t is time in years

Q: Assume S=0.6Y+19 describes the projected relationship between  S⁢ , sales of a company (in millions…

A: Given that the model S=0.6Y+19 describes the projected relationship between S , sales of a company…

Q: 2v f(v) = 2 - %3D 3

A: f(v) = 2 - 2v/3 We know that if, f(v) = vn Then, f'(v) = nvn-1

Exponential Growth Model

The relation that represents an exponential function is: