A manufacture business began with an initial stock offering of 3000. At the end of the 1st year, management learned that the company's profit followed the graph of P(x) =x² +3 • x + 3 where x is the number of months since January. Use the mean value theorem to find the months in which the profits changed at the same rate of the average rate of change during the first 7 months. Note: If there is more than one x value, please enter them in descending order and separate them with commas. Please round to the nearest thousandths.

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: For an exponential fuction in the form f(×)=ab^×what does the value of a and b represent A. a…

A: In the question it is asked to write about variables a and b in function f(x)=abx.

Q: As t-> positive infinity, (0.4+(1.03)^t) ->    info: Find the long run behavior of each of the…

A: We need to find the value of the expression  (0.4+(1.03)^t) when t à ∞.

Q: Complete the table of values for the function f(x)=−1/4x^2   x f(x)=−1/4x^2 −4   −2   0   2   4

A: f(x)=−1/4x^2

Q: EAT has been selling their very own Platinum Eco-Charger since the beginning of this semester. If…

A:

Q: Consider that 85(1.7)* models the number of pet toys patented at the end of x years since 2002.…

A: The exponential functions are usually represented by the equations, y=abx or y=a(1+r)x . Here, a is…

Q: Given S= -10T^2+4. Is S a function of T? Explain your choice using the definition of a function.

A: Given,    S= 10T² + 4   Yes, here S is function of T.  Thus, S = f(T) = 10T² + 4

Q: given f(x)=20x/x^2-6, for which values is f(x) = -4

A: Dividing by 4 on both sides

Q: If P(B^c) = 0.8, Find P(B)

A: Given, P(B^c) = 0.8That is, P(Bc) = 0.8Using formula,P(A)+P(Ac) = 1

Q: What are the linear and exponential functions whose graphs contain the points (0,4) and (3,108)?

A: Here we have to find the linear and exponential functions whose graphs contain the points (0,4) and…

Q: What is the max area of a rectangle placed between the x-axis and the function f(x)= -x^4 + 3

A: Answer : Maximum area should be 4.225 unit2 .