Use the revenue and cost graphs on the right to find the approximate profit from manufacturing 24,000 cell phones. What is the approximate profit from manufacturing 24,000 phones? $ Dollars (in millions) 5- 4- 3- 2- 1- 0- 0 Revenue Cost 8 16 24 32 40 48 Cell phones (in thousands) Q

Q: Calculate 11₁ S F.ds where F = (4x³z, 4y³z, 3z¹) and S is the surface of the solid bounded by the…

A:

Q: 6. An n x n matrix A is said to be idempotent if A² = A. (a) Show that the only eigenvalues of A are…

A:

Q: Let f be defined for (x, y) = R² if x #0 where f(x, y) = (x² + y²) x ,sin x + cos y Prove whether or…

A: Given: fx,y=x4+y4x,sinx+cosy, x,y∈ℝ2 with x≠0. To find: Whether or not there is a neighborhood U…

Q: Show that there are no integers a, b such that a² + 2ab+26² = 100000000003. Hint. Use mod 4…

A:

Q: For the matrix below: [1] [2] [3] [1.] 3 4 7 [2.] 6 8 2 [3.] 4 3 9 What is A[-c(1,3),-c(1,2)] ?…

A:

Q: Complete the following table. Population Growth Rate, k Doubling Time, T 2.7% per year Country A…

A: A=Pert where P =starting population at time t=0, t=years, r= interest rate ( in decimal) e =about…

Q: Find the work done by the force F = xyi + (y − x)j over the straight line from ( − 1,0) to (0, − 1).

A: In the given problem, force is given and the displacement straight line is given. We have to find…

Q: Suppose you plan to have $30,000 in 10 years from now and you can invest your savings at 2%…

A:

Q: Let X = {v, w, x, 16, 17, 18), Y = {w, y, z, 16, 18, 20), and Z= {w, y, 17, 18, 20). List the…

A:

Q: Calculate the eigenvalues and eigenvectors for A 2 2 -

A:

Q: If a and bare nilpotent elements of a commutative ring, show that a + b is also nilpotent. Give an…

A:

Q: (c) xy' + 4y = 3x², y(2) = 4

A:

Q: Find an equation of the line that passes through the given points. (-2,1) and (1,10) The equation is…

A:

Q: (5) Determine the degree of the Maclaurin polynomial required to approximate the value of the…

A: (5) (a)  we know that the Maclaurin's polynomial of  fx = cos(x) is              Error formula in…

Q: V1 1 2 and V₂ = 4 Write your final answer as a parameterized set. Show all work. (Note: the n

A:

Q: A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. Brine containing 1 gram…

A: Given, A tank contains 200 liters of fluid in which 30 grams of salt is dissolved. pumped into the…

Q: Let f: R → R be a differentiable function then for any a, b = R, ab, the Lagrange's theorem says…

A:

Q: Exercise 16.1.6. 550 CHAPTER 16 FURTHER TOPICS IN CRYPTOGRAPHY (a) We may define a function f : Z7\…

A:

Q: (c) xy" + y = 36x

A:

Q: Can you please solve this question Show that sin 75◦ = cos 15◦ and find all the exact trig values of…

A:

Q: How many 5 card hands are possible with a 26-card deck? The number of hands is (....

A:

Q: Let (X, d) be a metric space, prove that for any x, y, z E X, we have |d(y, z) - d(x, z)| ≤d(x, y).

A:

Q: Area of regions Use a line integral on the boundary to find thearea of the following region. The…

A: Area of regions Use a line integral on the boundary to find thearea of the following region.

Q: f(x, y) = -8x²-7y² + 6x + 4y

A: In that given function we have to find gradient and comparing with the given gradient we have to…

Q: 2. Prove that if d is a metric for X, then another metric d' for X is given by if a ≤ b " if b ≤ a…

A:

Q: 10. Which denominations (or value) of stamps can be purchased using a combination of stamps worth 13…

A: This is a famous problem which goes by the name Postage Stamp problem. We shall show that any stamp…

Q: Show that the equation Z+22³ +37² +4Z+ 5 = 0 has no root which is either purely real or purely…

A:

Q: Let Z₁, Z2, Z3 be three complex numbers and a, b, c be real numbers not all zero, such that a + b +…

A: Given:  a+b+c=0, az1+bz2+cz3=0. To show: z1, z2, z3 are collinear.

Q: Identify one point at which the gradient of the function f(x, y) = 5x² − 3y² + 5x + 5y - +3j. is 8i…

A: We have to solve given Questions.

Q: Find a power series representation for the following function. Determine its radius of convergence,…

A:

Q: Write the equation of the graph

A: Given That : The graph of the function is as follows : To Find : Equation of the graph.

Q: Consider the matrix equation -12 4 0 4 000 16 -9 00 16 -9 4 0 -9 16 4 04 00 00 1. Using LU…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: The population of a town changes in a sinusoidal pattern throughout the year. The maximum population…

A:

Q: Format The lettere will be recognised as Euler's number Give your answers in exact form. The…

A:

Q: The acceleration of a particle moving along a horizontal line at t seconds is modelled by the…

A:

Q: Question 4. Find the centroid of the region bounded by the curves y = x³ - x + 1 and y = Sketch the…

A:

Q: Show that (cos+ i sin 0)" = cos no + i sin ne for 0 € R and n € Z.

A:

Q: In this problem you will solve the nonhomogeneous system B. Compute the inverse Y = C. Multiply by g…

A:

Q: Which of the following graphs have hamiltonian circuits? P 0 M OA DC R I Н L H H U G H H OB S X OD R…

A:

Q: The derivaive of f(x, y, z) at a point P is greatest in the direction given by In this direction,…

A: Given, The derivative of f(x, y, z) at a point P is greatest in the direction given by v→ =…

Q: Consider the following. f(x, y) = 4x2 − y c = 3, P(2, 13)   Find a unit normal vector to the level…

A:

Q: Use properties of logarithms to condense the logarithmic expression below. Write the expression as a…

A:

Q: Consider the following theorem. Theorem If f is integrable on [a, b], then n f(x) dx = limf(x)Ax i =…

A:

Q: Determine the Laplace transform of signal x(t) = = = [1 +t+e=²¹c cos(4t- TU u(t)

A:

Q: Suppose SCR is a set of numbers. (a) Define inf(S) and sup(S). (b) Show that inf(S) = - sup(-S). (c)…

A: Set: A well-defined collection of objects or numbers is called a set. We can write a set in two…

Q: Let 2₁, 22, 23 be three complex numbers and a, b, c be real numbers not all zero, such that a+b+c=0…

A:

Q: roblem +43 pointe). Give the number of path components of each of the following symbols, regarding…

A: Definition: The path-components of X are the sets of the form {y∈X ∣ ∃ a path from x to y}, where…

Q: Find the point P(x, y, z) at which the paraboloid 2 6y² + 4z² X = has a tangent plane parallel to…

A:

Q: Use the method of undetermined coefficients to find a general solution to the system x'(t) = f(t)…

A: Here we use method of undetermined coefficient to solve given equation.

Q: Problem 1. 92x² + ... (a) (b) If A is diagonalizable, that is A = ODO¹. Assume a polynomial f(x) =…

A: