A factorization A = PDP 1 is not unique. For A= 7 2 -4 1 1 1 5 0 2 1 one factorization is P = D= and P-1 30 = Use this information with D₁ = to find a matrix P₁ such that - -1 -2 0 3 1 - - 1 05 A-P,D,P P1 (Type an integer or simplified fraction for each matrix element.)

Q: practice problem please help!

A: Step 1:Step 2:Step 3:Step 4:

Q: 38,189 5. Draw a detailed graph to and set up, but do not evaluate, an integral for the volume of…

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Q: 4. Use the properties of limits to help decide whether each limit exists. If a limit exists, fi lim…

A: (a)x→4lim​(2x2−4x+5)Since the given function is a polynomial, it is continuous everywhere. By the…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1)…

A: Step 1:Step 2: Step 3: Step 4:

Q: 16. Solve each of the following equations for x. (a) 42x+1 = 64 (b) 27-3815 (c) 92. 27² = 3-1 (d)…

A: Final Answers(a) x=1(b) x=−9/17(c) x=−2/3,−1(d) x=25(e) x≈2.4(f) x≈0.234

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A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: g Ske Find the area of the region bounded by the parabola x = 2y- y² + 1 and the line y = x + 1

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 8. Evaluate arctan x dx a) xartanx 2 2 In(1 + x²) + C b) xartanx + 1½-3ln(1 + x²) + C c) xartanx +…

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Q: Rylee's car is stuck in the mud. Roman and Shanice come along in a truck to help pull her out. They…

A: Let's solve the problem step by step: Given Data:Force from the truck: F1 ​= 377 lb (along the…

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x-4x² at…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: can you explain why the answer is 1/3

A: Step 1: Given Region E The region E is given by: E={(x,y)∈R2:∣x∣≤1,∣x∣≤y≤2−∣x∣} This describes a…

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Q: find a simple formula fot the nth term of the following sequences 1,3,7,15,31,63,. . .

A: First, we need to identify the pattern in the sequence. By observing the sequence, we can see that…

Q: answer a, b, and c

A: ANSWER : Let's solve this problem step-by-step.Problem 4: Suppose a renewable population grows…

Q: 3. f(7) 3. Find the domain of each of the following functions. 1 1. f(x)=2-6x+8 2. f(x)=√√7-x 4. A…

A: Problem 3: Calculate f(7) For the function f(x)=x2−6x+81​:  f(7)=72−6⋅7+81​=49−42+81​=151​For the…

Q: Evaluate the integral using integration by parts. 150 sec 20

A: If you have any questions let me know in the comment box thankyou.

Q: 4. Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: We find the volume of the solid generated by revolving the given region about the x-axis using the…

Q: Let f(x)=4excosxf'(x)=

A: The given function is f(x)=4e^x*cos(x). This is a product of two functions, 4e^x and cos(x).

Q: Use the following graphs to evaluate the given one-sided limit. Answer exactly. y = f (x): y = g(x):…

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Q: (b) Find the (instantaneous) rate of change of y at x = 5. In the previous part, we found the…

A: Step 3 :   Step 4:

Q: Taylor Series Approximation Example- H.W More terms used implies better approximation f(x) 4 f(x)…

A:

Q: The function s(t) represents the position of an object at time t moving along a line. Suppose s(1) =…

A: To find the average velocity over the interval [1 , 5], we use the formula:vav = (s(t2) - s(t1)) /…

Q: 1) let X: N R be a sequence and let Y: N+R be the squence obtained from x by di scarding the first…

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Q: 7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л,…

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Q: Find the indefinite integral using the substitution x = 5 sin(e). (Use C for the constant of…

A: Let's solve the given indefinite integral: 1. Recognizing the SubstitutionWe have the…

Q: 1. One of the partial fractions for 2 4x²+x-9 x3+2x²-3x 2 x+1 a) x23 b) x 1½ c) x² d) x-1 x is

A: One of the partial fractions for x3+2x2−3x4x2+x−9​ is x+32​.(a) option is correct.

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

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Q: x The function f is shown below. If I is the function defined by g(x) = √ ƒ(t) dt, find the value of…

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Q: Question Consider the graph of f(x) below. Over what open interval is f'(x) positive? Give your…

A: If you have any problem let me know in the comment section thankyou.

Q: The expression 3 | (3+1/+1) of the following integrals? A Ов E + + + + 18 3+1+1 3++1 3++1 (A) √2×14…

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Q: Sketch a graph of f(x) = 2(x − 2)² − 3 4 3 2 1 5 ས་ -5 -4 -3 -2 -1 1 2 3 4 -1 -2 -3 -4 -5+ Clear All…

A: Key references:https://youtu.be/TxPDQfWeAUg?si=auU0w_nfOyr6mRyU

Q: Let f(x)=sq root of x+5 and g(x)=x2 -2. 1. The composite function g of f(x) = 2. The domain of g o…

A: Given the functions:f(x) = √(x+5)g(x) = x2 - 21. Composite function (g∘f)(x)By definition, (g∘f)(x)…

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Q: ork 5: Solving Right Triangles ent! ** nswers to the nearest tenth. 3. 39 6 6. 0 45

A: Given Information:Right triangleHypotenuse = 45Opposite side = 39Adjacent side = ?Angle θ = ?Step 1:…

Q: 2. The sales of a new personal computer (in thousands) are given by S(t)=100-90€-04: Where t…

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Q: Find the indefinite integral using the substitution x = 7 sec(0). (Use C for the constant of…

A: Step 1:Step 2:Step 3: Step 4:

Q: Simpson’s Rule with n = 4 subintervals to estimate the integral of the squre root of x dx with upper…

A: Simpson’s Rule is a numerical method used to approximate the definite integral of a function. It…

Q: The correct answer is Ccould you show me how to do it by finding a0 and and akas well as setting up…

A: To find the Fourier series of the given 4-periodic function f(x), we need to:Define the piecewise…

Q: Example: If ƒ (x + 2π) = ƒ (x), find the Fourier expansion f(x) = eax in the interval [−π,π]

A: Approach to solving the question:To find the Fourier expansion of  f(x)=eax in the interval [−π,π],…

Q: Consider the graphs of y = f(x) and y = g(x) in the given diagram y= f(x). y = g(x) Evaluate…

A: Step 1:Step 2:Step 3:Step 4:

Q: Find the slope of the tangent line to the graph of the function at the given point. m = 8 f(x) = 7x…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: 8 pls show work

A: Here is the step-by-step explanation: Problem 8:​Step 1: Understanding the Relationship Between…

Q: Suppose an oil spill covers a circular area and the radius, r, increases according to the graph…

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Q: 2. (i) What does it mean to say that a sequence (x(n)) nEN CR2 converges to the limit x E R²? [1…

A: Approach to solving the question:(i) Convergence of a Sequence in (R2)To say that a sequence…

Q: Find f[g(x)] and g[f(x)]. f(x)=√√x+5, g(x) = 12x² -

A: Approach to solving the question:Please see attached photo for detailed solutions. Thank you.…

Q: help on this question about Laplace transformation?

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Q: Find the average value gave of the function g on the given interval. gave = g(x) = 8√√x, [8,64] Need…

A: The average value gave​ of the function over the interval [8, 64] is 7180​.

Q: x-4 Let f(x)=5x-1, h(x) = Find (fo h)(0). 3 (fo h)(0) = (Type an integer or a fraction.)

A:

Q: Total marks 15 4. : Let f R2 R be defined by f(x1, x2) = 2x²- 8x1x2+4x+2. Find all local minima of f…

A: Step 1: Compute the partial derivatives fx1​​=∂x1​∂f​=4x1​−8x2​fx2​​=∂x2​∂f​=−8x1​+12x22​Step 2:…

Q: 6 5 4 3 2 1 -6 -5 -3 -2 3 -1 -2 -3 -4 -5 The graph above is a transformation of the function x²…

A: Let us analyze the transformation of the graph of f(x) = x2 as follows:Step 1: Identify the key…