Question 1: A firm sells a good with an average cost 10 AC = Q+ ab + a) If the demand function is given by P 200 aQ, find the output to obtain the maximum profit. b) After some time, the firm decided to s product in two isolated markets with de and P. = 80

Q: Use the Jacobi method to find approximate solutions to - 4x3 201 + 2x2 + 3x3 = 25 2.x1 - 12 + 5x3 =…

A:

Q: 3 d²y +3y[ dy + dy .3 2 dx = 5x dx dx

A: We have to identify the independent variable, dependent variable , order and degree of the given…

Q: Describe the graph of the equation. r = -6i + tj + (12 – 1) k O It is a parabola in thex = 6 plane,…

A:

Q: (-1)"-2 (e) Alternating Series Test: 3" + 3n n=0

A:

Q: Find the interest rate needed for the sinking fund to reach the required amount. Assume that the…

A:

Q: R = (9 – 2t, 4 + 2t, V2t?), 0 < t <1.

A:

Q: What is the distance between the vertices 10101 and 01001? 3 2 1 4

A:

Q: 5. Find the Laplace transform of the equation f" (t) + f(t) = sin bt where f(0) and f'(0) = 0 (a )…

A:

Q: Family of Curves Practice Exercise: Find the differential Equations of the following: 1. Family of…

A:

Q: Show if the shown group is cyclic or not. If cyclic, provide its generator/s for H H = ({a +bv2 : a,…

A:

Q: If C(11.n)=330, then n is equal to?

A: The combination formula is Cn,r=n!r!n-r!.

Q: 3. The Laplace transform L {t(t-2)(t+2)} is : (a) (1/s) ( 1/s² - 2/s) ( 1/s² + 2/s) (b) (( 3!/s*) –…

A:

Q: The base of a three-dimensional figure is bound by the lineX = y-, on the interval [5, 9]. Vertical…

A: If the cross section is perpendicular to the y−axis and  area of cross section  is a  the function…

Q: Write z=2-3i in polar form

A:

Q: The annual National No Spying Day is celebrated at KAOS headquarters th gents and 14 KAOS agents…

A: There are 11 control agents and 14 KAOS agents To select a team of 9 we need 3 control agents and 6…

Q: Let T: R3 → R3 be a linear transformation such that T(1, o, 0) = (4, –1, 2), T(0, 1, 0) = (1, 3,…

A:

Q: Suppose C is the curve from (0, 0) to (2, 0) to (2, 3) to (0, 3) to (0, 0). Find the work done by…

A:

Q: The recreation center is hiring couns Summer camp. They need four cour

A: Given that for every 25 campers they need 4 counselors  to find the number of counselors needed for…

Q: 2) Write an equation for the curve shown below. Explain what kind of graph it is and what elements…

A: Given Graph is graph of rose curve

Q: PROBLEM A. f"(t) + 3f'(t) + 2f(t) = 0 where, f(0) 1 and f'(0) = 0

A:

Q: Solve the differential equation using Laplace transform method. y"- 4y +9y =t, y(0) = 0, y (0) = 1…

A:

Q: Three equations are given below.           x   -    3y    +     2z    = -12           x    +    y…

A:

Q: x-1 y+3 12-z Consider the following lines defined by I,: and l2: 9. =- %D 7 x = 2t + 10, y = 5t, z…

A:

Q: a. Suppose x e R. Show that f (x): = x/3 is not differentiable at x = 0. b. Differentiate and…

A:

Q: In 150 words explain the role of Mathematics in Accountancy field?

A: Blow given clear explanation

Q: It takes 8 vertices to represent the letter N and hence, D is a 2 × 8 matrix. In addition to D, it…

A: To construct: The coordinate matrix D for the capital letter L in a 6 unit × 8 unit cell of line…

Q: 6. For each of the following series determine if the series converges or diverges using the…

A:

Q: y = Ce * + C2e 2x + C3e * + e 2x

A: y=c1e-x+c2e-2x+c3e-x+e2xy=c1+c3e-x+c2e-2x+e2x Here, complimentary solution is  y=c1+c3e-x+c2e-2x…

Q: To test this series for convergence n nº + 4 n=1 where p= пр n=1 You could use the Limit Comparison…

A:

Q: Show that you can arrange n copies of all 3" ternary strings so that two consecutive strings differ…

A: The Gray Code, also known as reflected binary code, is a series of binary number systems. The…

Q: 4. The inverse Laplace transform L-1{s/(s²+8s +20)}

A:

Q: Find the minimum values for the set of equations; indicate if the solution has on converged. x² +…

A: We are given the set of equations, x2+2y3-5=02x4+y2-9=0 We need to find The minimum values for the…

Q: Find the area of the surface given by z = f(x,y) over the region R.   R:  The triangle with…

A:

Q: dy 1. Consider the differential equation da 2x3+2 where y = 5 at x = 1. Use RK4 Method to determine…

A: Hi! As per norms, we will be answering only the first question. If you need an answer to others,…

Q: [0.4 -0.3] 4. Let A = b as k → ∞. L0.4 1.2 Explain why Ak approaches [-0.5 -0.75] 1.0 1.50

A:

Q: Determine if the sequence is increasing, decreasing, not monotonic, bounded below, bounded above…

A: (a)…

Q: Let S be a set of integers defined as follows:   2 ∈ S if n ∈ S, then n2 ∈ S if n ∈ S, then 16n…

A:

Q: 2. Let A E Mnxn(R) be an invertible matrix and let A E R. Prove that A is an eigenvalue for A if and…

A:

Q: Determine the sum of the following series. (- 4)"-1 7" n=1

A:

Q: Laurent

A:

Q: In Exercises 17-22, write , fdA as an iterated integral the shaded region R. 17. y 18. 2 F 12 1. 3…

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: 14 players for a softball team show up for a game: (a) How many ways are there to choose 10 players…

A:

Q: 1 If a(t) find an expression for by directly taking the log,(t + 2) – log2(t + 1) present value of…

A:

Q: Calculators are sold to students for $20 each. There are 300 students willing to buy thêm at this…

A: Given: Selling price =$20 Number of students willing to buy=300 Increase in price=$5 Decrease in…

Q: relationship een the number of Hours Tickets

A: The relationship is proportional if  ratio between the variables is constant, that is if x and y are…

Q: 1 -2 6. 1 1 -3 Let A = -1 0 and P = 0. 0. 0 0 -1 1 Given that P diagonalizes A, then compute each of…

A: Hope you like it

Q: (1) Determine whether or not the function u(t) = sin(2t) + cos(2t) is a solution to the differential…

A:

Q: 2. Let a Find the Span(a)

A: Given: a=00 To find: Span(a)

Q: 6 If P(n,3)=336, then n is equal to? *

A:

Q: How many positive integers greater than 5 and less than 2020 are divisible by 7? are divisible by…

A: 1) Here , 2020/7 = 288.57 So 288 multiples of 7 are there between 5 to 2020 So , 288 integers are…