(a) Find the following: x1/3 + 9x1/5 (2х — 1)1/2 — 3 i. Lim- X-0 6x1/2 – 4x1/4 ii. Lim X-+5+ х— 5 (b) The total revenue curve of a firm is R(q) = 40q – 12q² and its %3D 1 400 average cost A(q) =9? – 12.85q + 20 +, where q is the firm's output. i. Derive an expression C(q) for the firm's total cost function. ii. Derive an expression II(q) for the firm's profit function. iii. Is the rate of change of profit increasing or decreasing when the ouput level of the firm is 10 units? iv. Determine the level of output for which the firm's profit is maximized. v. What is the firms's maximum profit?

Q: determine the value of "a" so that f(x) (image) have the line y=x+5 as an asymptote

A:

Q: 3. State the equation of the horizontal asymptote 3 f (x) = %3D 4x (x – 6)

A:

Q: Reduce the fraction to its lowest term f(x)=(0)² - 4(0) + 5/0-4

A: Given a function, fx=x2-4x+5x-4 At x=0, f0=02-40+50-4

Q: 5. An internet service provider has modelled its projected number of business subscribers as B(t) =…

A: We have to find the growth rate.

Q: 1. Let g(x) = 3 %3D I-2 a. Compute lim, g(x); - L X- 2 b. Give equations of any horizontal and…

A: The objective of the question is determine the limit of the given function and find its asymptotes.

Q: Graph the piecewise function:

A: NOTE: Refresh your page if you can't see any equations. . to graph the function, we need a few…

Q: Suppose g(x) = 3x- 2 and h(x) = f[g(x)] = 15x - 11. Find y = f(x).. %3D %3D %3D %3D Explain and show…

A: Given that                     g(x)=3x-2  and  h(x)=f[g(x)]=15x-11

Q: The total revenue curve of a firm is R(q) = 40q − 12q2  and itsaverage cost A(q) = 1/30 q2 − 12.85q…

A:

Q: 9x3+3x²-12x Solve for the vertical asymptote/s of f(x) = 9x3+30x²+24x

A: To find vertical asymptote we will put the coefficient of y equal to zero.

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Given that revenue is 252 thousand. And cost is -t2+578t The objective is to find the profit in…

Q: A company has invested in an online tool that is expected to generate a continuous revenue at a rate…

A: Consider the given information:

Q: true or false prove your answer If (an) is Cauchy and p is a number such that for infinitely many…

A: Given that              an is a Cauchy sequence and p is a number such that for infinitely many…

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

A:

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: 2x2-V2(3x+1)+2 4. limx-1 X-1

A: Here we have to find the limit of  A=limx→1 2x2-2(3x+1)+2x-1

Q: 4. Find the equation of the slant asymptote. x-6x²-4x+1 r(x)=- %3D x² -x+2

A:

Q: The quantity of the demand per month of a certain accessory is related to the price (in 500 0.01x²…

A: Given that the demand function is Px=5000.01x2+1. We have to find the number of accessories must be…

Q: (b) f(x)=2x +7atx =0

A: Answer

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.