|(a) Find the following: x1/3 + 9x1/5 i. Lim х-0 6х1/2 — 4x1/4 (2x – 1)1/2 – 3 х — 5 ii. Lim X→5+ |(b) The total revenue curve of a firm is R(q) = 40q – 12q? and its 30 9 - 12.85q + 20 + Derive an expression C(q) for the firm's total cost function. ii. Derive an expression I(g) for the firm's profit function. 400 average cost A(q) = where q is the firm's output.

Q: Q3)Find the asymbtotes of the function f(x)= x-4

A: To find Aysmptotes of the given function

Q: 2) Lim 나-13 X+ 1 x=7x+10

A:

Q: (a) Find the average number of job seekers during the period t=0 to t= 10.

A:

Q: →0 (2a−3/2a+ 5)^(2a+1) should i use lhopital or direct substitute the value of

A:

Q: For the function f (x) = (*-2)* x+2 , find f-'(x).

A:

Q: Q3)Find the asymbtotes of the function f(x)= x -4

A:

Q: 4) Find f(x - 1) when f(x) - 4x2 - 4x - 7.

A: f(x) = 4x2 - 4x - 7 f(x-1) = ?

Q: lim (412 + 8t – 5)3/2 t- 2.

A:

Q: What is the vertex of the quadratic, 3x - 12x - 1 = f (x) O (4.082,0) O (2, -13) (3,1) O (4,-1)

A: Given, The quadratic expression fx = 3x2-12x-1 We have to find its vertex.

Q: (а) 3х < 5х—8 |

A: Topic:- inequality

Q: 5.PT. PLN has $140000 to invest. The alternative investments and the corresponding annual returns…

A: According tot he given information it is required to form an linear programming problem for the…

Q: 8. Describe the domain for h(x) = √70-9x - x²

A: To describe the domain for .

Q: find the derivative of the func N 4+22

A: Step 1:Step 2: Step 3: Step 4:

Q: Find f(f(f(1))) given 2 +3 2x – 6 if 2 5 f(f(f(1))) =

A: Given query is to find the indicated composite function.

Q: lim (4x2 + 2x + 5) = 5x→0

A: We will plug x=0 in place of x

Q: What is the domain of the radical function f(x)=√2x²-5x-12? D: (-∞0, ∞0) D: [-1.5, 4] D: [-1.5, ⁰⁰)…

A: The function is given byTo determine: The domain of the the function.Domain Restrictions for Square…

Q: What would be the piecewise function of  f(x)=(x+1)/(8-2x2)

A: Here, the equation is given by f(x)=(x+1)(8-2x2). The piecewise function of the equation has to be…

Q: of the 7x - 9x-2

A: We have to choose the correct answer from the given options

Q: Assume that the domain of f and f-1 is (-∞, ∞o). Solve the equation for x using the given…

A: Given that the domain of f and  is (a)  ; (b) ;

Q: Rita has 360 meters of fencing and wishes to enclose a rectangular field. Suppose that a side length…

A:

Q: 7. −ydx + (x + √xy)dy = 0

A:

Q: f(x) = x3 -3x2 - 3x +1 x=-1 is a root of the function how would you show that?

A:

Q: lim m 42 -1 t² +1-2 ܐܝ: (b

A:

Q: Jx²+2 Lim X-7 3x -6

A:

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.