04 * Consider two invertible matrices A and B. Which one of the following is equal to A(AB)-¹B? AB^-1AB ABA^-1B AB^-1A^-1B AB^-1B^-1A

Q: Find the derivative of the given expression. f(x) = 21(ln(x))5 f '(x) = _____

A: First I have written a rule of derivative of a function with power and then using it find  the…

Q: When solving the equation 2x2-20x14 by completing the square, which of the following represents the…

A: The given equation is: 2x2-20x=14   As we know from the algebra. a-b2=a2-2ab+b2

Q: Find the derivative of the ff using Rules for Differentiating Algebraic Forms. Show your complete…

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Q: Verify that each given function is a solution of the differential equation: 5. 2y' + y = 0; y = e z

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Q: Assume logg a = 3 and logg b = −0.5. Find the value of the following expression. logg (亭)

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Q: Consider the following function: y = 7(6e−2x+4)3 y' = ____

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Q: Use a software program or a graphing utility with matrix capabilities to find the determinant of the…

A: 971-20-105140947-3127-9824-204

Q: Show that lim n→∞ k = k

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Q: ф(x, y, z) = e-y.e-%+17

A:

Q: 20. 17 Let f(x) = x² - 1. (1) Find the area of the region R bounded by y = f(x), y=0, x= -1 and x =…

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Q: 2) By using laplace transform, solve -ヒ y"Lt) + 2y'lt) + 2y(t) = = ; y(o)= 0, y'(0) = 0

A:

Q: Suppose you have a cube of length s. The volume of that cube is V = 8³. Now let's suppose the…

A: we know that  dxndn=nxn-1given   V=s3   s(t)=t

Q: If f(x) is a linear function and given f(3) a.) What is the slope? form.) b.) What is the…

A: Given that f(x) is a linear function and given f(3)=4 and f(13)=1 .

Q: -7 and g(x) or (f(u)). Do not expand your answer. te the ful g(f(u)).

A: We will find the required.

Q: Derive term by term the Maclaurin series (Taylor series around the origin) of the function sinh(z)…

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Q: 39. Solve Y"(t) +9Y(t) = 18t if Y(0) = 0, Y(r/2) = 0. ly Ans. Y(t)= 2t += sin 3t

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Q: V. Use Variation of Parameters to find a particular solution for y"-4y'-12y=te²t

A:

Q: A twice-differentiable function f is defined for all real numbers x. The derivative of the function…

A: Given: A twice‐differentiable function f is defined for all real numbers x. x 0<x<3 3…

Q: Suppose DeAndre starts a company in which he incurs a fixed cost of $1,550 per month for the…

A: Given that the fixed cost is $1550 per month and the production costs are $38.50 per item. we have…

Q: By the alternating series test, the series k=1 8 k(k + 2) Then find the limit of the partial sums.…

A:

Q: - 3x² + 12x + 63, x = The region bounded by f(x): the volume of the solid of revolution. Find the…

A: Given: fx=-3x2+12x+63, x=0, y=0. Rotation about y-axis. To find: We have to find the volume of the…

Q: General Instruction: Find the derivative (y') of the following problem. Simplify and box your final…

A: Derivative

Q: Find the antiderivative F(x) that satisfies the given condition. F′(x) = −5ex+5x; F(0) = −6 F′(x)

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Q: Problem 4 lim Δx + 0 sin( (5)+Δx) - () Δ.χ

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Q: ^ Suppose that f(x, y) = x³y². The directional derivative of f(x, y) in the directional (2, 3) and…

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Q: )=sihx to g(x)=sin (x + 1) - 2 472. f(x)=cos x to g(x) = cos (x+

A: We will find the required.

Q: B D 37 C 58 E The table above gives the distances (t), in miles, that a car has traveled at various…

A: Find velocity

Q: Consider the function y=x2−3x−8. Using the values x=−5 and △ x = 0.4, calculate △ y−dy. Round your…

A:

Q: Given matrix A and its first two eigenpairs: A = -4 -7 2 +23 3 A₁ = 1, ₁ = A₂ = -2, x₂ = 5 -2 ~

A: Given matrix:- A=-4-7522-233-2

Q: Which of the following is equivalent to D OF lim 2 11 SVI + 2x de dx SVI+ 2x dx S₁ √I + x dx f₁₂ √I…

A:

Q: General Instruction: Find the derivative (y') of the following problem. Simplify and box your final…

A: Given,             y=e1-4x2To find : Find the derivative, y' of the given function.

Q: 3)- If f(x) = 2x - 2 then f(-3)= and f(1) =

A:

Q: 3. When a person takes a drug, one can measure the number of milligrams of the drug in a person's…

A: Need to write down the value of A, the value of B, etc.

Q: 24. For y = f(x), we define the derivative of f at x, denoted by f'(x), to be if the limit exists.

A: The solution of the given problem is as follows.

Q: 2. Let f be the function given by f(x) = √T. a. Find the Taylor polynomial of degree 1 of f at x =…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Solve the initial value problem 2xz = -x, z(0) = -8

A:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Given curves:- y2=x,y=5,x=0

Q: 7. The demand function for a product is given by q = 250 - 0.5p. a. Determine the price levels for…

A: The demand function is given as: q=250-0.5p In order to find the price level for which demand…

Q: Find a solution for the differential equation below by eliminating y first. x' = 4x - 13y y' = 2x -…

A: To find a solution for the following differential equation by eliminating y first.x'=4x-13yy'=2x-6y…

Q: Here 5 hours = SO Q2 (1000-300)6 Q 300 min 0.15 (1000-300) - 1-3 x1016 (700) (0.15)- (700) x1.3x1016…

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Q: Find the determinant of the matrix. 5 1 32

A: To find the determinant of given matrix.

Q: Problem 3. An insulated heated rod with a uniform heat source can be modeled with the Poisson…

A: Given: An insulated heated rod with a uniform source can be modeled with the poisson equation:…

Q: 03 * Describe the set S = {x|x - 3| > 4} in terms of intervals. S= (-00, 2) U (4, 00) S= (-∞, -2) U…

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Q: 5. A certain country's national income grows by 4.5% per year. a. Find the growth percentage per…

A: Given: Rate of increase in income is 4.5% per year

Q: Point A is defined by A = (3, −2, –3). The component of the vector OA resolved in the direction of…

A: Point A is defined by A=3, -2, -3. To determine the component of the vector OA→ resolved  in the…

Q: interior

A: Given, f (x) = 36x2 – 150 represents the amount of money he earns per room decorated x represents…

Q: 24/ If -51 = |D|= X 5 -4 0 -3 5 -5 5 -6 Find X Value

A: If -51=D=x5-40-35-55-6, then to find the x value.

Q: Determine the singular points of the differential equation (x2 - 4)y'' + 4y' - (x + 3)y = 0 and…

A: we will find the required.

Q: 2. Consider a firm producing a single commodity. The total cost C(q) of producing a units of the…

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Q: a plane through the points (1,8,-8), (-5,7,1), (1,-3,-6) = +12y + z = -335 X

A: We will find the required equation of plane.