Given that the revenue function, R (x) = 26x - 2x and the cost function, C(x) = 6x + 20. Find (i) the profit function, (ii) marginal profit function. (iii) maximum profit.

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Q: Suppose that Ax=b has no solution and the columns of A are linearly independent. Let t(A) denote the...

A: This is a problem of Linear Transformation.

Q: Let S be a linear transformation from R³ to R² with associated matrix 1 -2 2 2 0 3 A = t T be a line...

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Q: Find the inverse of the function f(x) = 3x-7 + 2 5

A: The inverse of the function f(x) is denoted as f-1x. The function and its inverse function are symme...

Q: Use deductive reasoning to show that the following procedure always produces a number 5. Procedure:...

A: let the number be x step-1 add 4 to the number ⇒x+4 step-2 multiply the sum by 3 ⇒3x+4

Q: Look for the Fourier transform of the pulse waveform below. v(t), -T/2 0 T/2

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Q: Consider sequences n+1 (i) n+2 (ii) tan 2n (ii) n+ ( – 1)". Which of the above sequences are monoton...

A: Monotone increasing and decreasing sequences are monotone sequence.

Q: Activity #3 in Differential Equations Solve for GS/PS for the following differential equations. Writ...

A: Introduction: The differential equation M(x,y)dx+N(x,y)dy=0 is known as an exact differential equati...

Q: Write a vector of magnitude 5, parallel to the plane 3x + 4y + 5z = 10 and perpendicular to the vect...

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Q: Find the harmonic conjugate of the following. 10. х-у2+у

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Q: Given that a =3 and 1 if a is even; a n+1 5а - 1 if a_is odd. Then tern number four, i.e., a а, is

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Q: You have 10 marbles. You have 5 bags. Each bag has the same number of marbles. How many marbles are ...

A: Solution- Number of marbles=10 Number of bags =5 Since each bag contains same number of marbles.  Th...

Q: (-2 2 13 -1 -2 8 0 6 What is the cofactor of the element zero (0) in the matrix (-1 -34 3 34

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Q: be580000; 32-bit format 26; 8-bit format

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Q: 4. Convert the following nonlinear integer program to a linear integer program. Objective Function M...

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Q: Determine (dy/dx+1)/1=x^2, y(0)=1 by Tylor’s series method and compute y(0.3

A: Given that dydx+11=x2, y0=1

Q: a. f(t) = 2 cos( 120t + 45)

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Q: Find the harmonic conjugate of the following. 10. x2-у2+у

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Q: dr. Given the improper integral 9-x2 O A Integral converges to In (9) - 3 B. Integral converges to 3...

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Q: every rational number is a decimal true or false?

A: We know that rational numbers are of the form of terminating and repeating decimals whereas irration...

Q: 1. Sophia simplified the rational algebraic expression given below. (4x+4)-4 4(x+1)-4 (5x+5)-5 5(x+1...

A: Given: Sophia's work on a rational algebraic expression is given below: To check: Whether Sophia di...

Q: • Show that f(x) < x. • Show that ƒ has no fixed point on (0, 3]. Hint: Assume there were f(c) = c a...

A: This is a problem of metric space, real valued function.

Q: Find the harmonic conjugate of the following. e*²-y* cos (2xy) x²-y²+y

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Q: Solve the following simultaneous equations. Using Gaussian Elimination Method. Show your solution 10...

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Q: +17x+49=3x

A: Introduction: Completing the square method is useful in the following situations: Taking a quadrati...

Q: what is the slope of the linear function 2x-9y=19?

A: Definition: The slope-intercept form of a line is y=mx+c, where m is the slope of the line and c is ...

Q: 1. Consider the relation R1: R - R such that (r1, y1)R1 (X2, y2) if and only if both points are on t...

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Q: Shade the Venn Diagram to show the set. A'UG Use the graphing tool to graph the set. Click to enlarg...

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Q: Find the unit vector Â, B, the dot product À. B, and state whether these 2 vectors are orthogonal, p...

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Q: A cake recipe calls for 2/3 cup of sugar.if ray needs to prepare 6 batches of such recipe for a week...

A: A cake recipe calls for 2/3 cup of sugar. So, for 6 batches suger needed 23×6 = 4 cups of suger.

Q: Consider the function f(x,y, z) = ry+ y² + z?. (a) What is the gradient grad f of f, and what is its...

A: Given fx, y, z=xy+y2+z2 (a) We shall find the grad f  and its value at the point 2, 1, 1

Q: Also rotating and vibrating phenomena can be modeled with a general sine function. The radius of a ...

A: The general form of a sinusoidal function is f(x) = a×sinkx-p+q

Q: 4. The measure of an angle is 20 more than the measure of its complement. Find the measure of each a...

A: Given: Measure of an angle is 20 more than the measure of its complement. To find: Measure of each a...

Q: Question 2. Ten men and eight women are going to occupy a row of 20 seats. The men are seated from l...

A: Solution

Q: What is the second iterative value of the root f(x) = x2 - 3.  with the initial bracket [1, 2] using...

A: To find- What is the second iterative value of the root fx = x2 - 3 with the initial bracket 1, 2 us...

Q: The following graph is an example of a complete graph Kn. What is the integer value for n in relatio...

A: A simple underected graph in which there exist an edge between every pair of vertices is called comp...

Q: AnsweI. 8.) The value of the 7 in 507,264 is 10 times the value of the 7 in which number? A 587,921 ...

A: Introduction: The place value in a number is very significant. Each and every integer in a number ha...

Q: Inverse Laplace Transform Given F(s) =L(F), find f (+). a, b, L, n are constants. Show the details o...

A: Solution

Q: Let T : R² → R² be given by 4 T(a) = -1 x. 2 Find the matrix M of the inverse linear transformation,...

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Q: Consider the sequences 3 7 Which 13; 5 8 of these statements is correct? A. The sequence converges t...

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Q: Given the function fx)=x cosx. Use the centered-divided-difference formula f '(x) = 2h to compute th...

A: We will use center difference formula  f'(x)=f(x+h)-f(x-h)2h

Q: 4. Write the following (0, 1, 2. ..., 10) in set-builder notation. 5. Write out the set (x: x is an ...

A: Set theory

Q: by x * y = 1 + x + y on the set of real numbers. Show that * is commutative but not associative

A: Given: x*y =1+x+y To show: * is commutative and associative.

Q: Given the Matrices, find the following -1 6 20, Mat C = |11 -11 30 11] 3 4 Mat A = magic(4) , Mat B ...

A: Given that Mat A=magic4 B=3-16582010711 and C=63411-1130-256  To find determinant(A).

Q: -1 8 9 10 -1 The graph above can be written as y = f(t)ua(t) + g(t)u;(t) %3D Where f(t) =- 2 a =|4 g...

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Q: Let E be an extension of a field F. Suppose a E E is a root of f(x) E F[x]. If p : E → E is a homomo...

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Q: + + = 60 + = 30 = 3 = ? +

A: To find- 

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: :) Let f : R² → R be defined by f((x, y)) = 9x – 9y – 5. Is f a linear transformation? a. f(("1, Y1)...

A: Solution:-

Q: - Find the solution u(x, t) of uz = conditions u(0, t) = 3 and u(1, t) = 2 and the initial condition...

A: Here, we are given the following system.       uxx=14ut, 0&lt;x&lt;1, t&gt;0u(0, t)=3u(1, t)=2u(x, 0...