Let A be a diagonalizable n x n matrix and let P be an invertible n x n matrix such that B = P-¹AP is the diagonal form of A. Prove that Ak = PBKP- integer. Use the result above to find the indicated power of A. 2 0 4 -2 -2 3 A5 = A = , A5

Q: 2. Find the area of the region inside the cardioids r = a(1+cos), a>0

A:

Q: 12 Σ 100 - 21 1-0

A: The given data is: ∑i=012100-2t To rewrite the series as a sum.

Q: log7x 7-² 7-T 75 5 77.89

A:

Q: Jaya's Monthly Expenses Rent 25% Loan payments 26% Other 13% Car payments 18% Food 19% a) Which two…

A:

Q: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

A: The vectors u=[-3, -4, -17]T , v=[3, 0, -6+k]T, w=[-1, 2, 1]Tare linearly dependent if and only if k…

Q: 6. Given triangle ABC with angle B = 35°, side a = 7cm and side c = 3cm, find the length of side b.…

A:

Q: Differentiate f(x) = ln (cos x). | f'(x) = tan x f'(x) = -tan x f'(x) = csc x sec x f'(x) = − csc x…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: Perform the indicated operation. Simplify your solution. 2+1/12 Select one: O A. OB. 4 O C. O D. Ο…

A: Given; [1-1/2]/[2+1/4].

Q: Below is the graph of y=4*. Translate it to become the graph of y=4*4-2. -7 -6 -5 7 9 G 4 -2. 4. ७.…

A:

Q: Solve X: 4^3x = 16

A:

Q: State the property or properties that justify each of the following. 3(x-y) = (3y)-x A.…

A:

Q: Given f(x) = 2x² + 1 and g(x) = 8x 9, find the following. (a) f(g(2)) (b) f(g(x)) (c) g(f(x)) (d)…

A:

Q: Pastaj shumezofil t x = 30 Prova: 30: 6-2=3√ 1 Zgjidhni këto ekuacione a 3x-1=14

A: Concept: A mathematical statement in which two expressions are rendered equal to one another is…

Q: A circle has a radius of 7 m. Find the lengths of the arc intercepted by a central angle of 1.3…

A:

Q: A house builder would like to make a window that has a golden ratio between the height at the length…

A: Golden ratio=height/length=1.618

Q: Suppose you have 3 red marbles, 2 blue marbles, and 4 yellow marbles in a bag. What is the sample…

A:

Q: How to solve a rational equation (9/(x-3))+(1/x)=((9/(x-3)) X=

A: Given :9x-3+1x=9x-3

Q: 18. To what amount will $10,000 grow after 25 years if it earns: a. 4% compounded annually? b. 4%…

A: Topic = Algebra As per guidelines , At a time only one question with three sub-parts can be…

Q: Find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverses of each…

A:

Q: 2 Doris spent of her savings on a used car, 1 and she spent of her remaining savings on 4 a new…

A:

Q: Use l'Hôpital's rule to find the limit. Use - ∞ or ∞ when appropriate. lim X-00 5 O A. X In x Select…

A:

Q: Q4\Use Cramer's Rule to find the values of x, y, and z from the following equations: 2x + 3y - z = 1…

A: The given equations are;  2x+3y-z=1 4x+y-3z=11 3x-2y+5z=21.

Q: For the matrix A, find (if possible) a nonsingular matrix P such that P- 2-2 5 0 3-2 0 2 P = A = -1…

A: NOTE: Refresh your page if you can't see any equations. . now matrix is in triangular form…

Q: Bonnie volunteers to bring bags of candy to her child’s class for the Halloween party this year. She…

A: This question can be solved using the concept of HIGHEST COMMON FACTOR

Q: Find and simplify the difference quotient f(x) = - 4x² f(x+h)-f(x) h f(x+h)-f(x) h =(Simplify your…

A:

Q: SOLVE THE EQUATION X = ex-1

A: Given :X=eX-1

Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

A: The vertical line test states that a vertical line needs to cuts the graph of a function at only one…

Q: Determine without graphing whether the system of equations has exactly one solution, no solution, or…

A: Finding the ratio of coefficients of two equations tell us the number of solutions

Q: Let f(x) = 2x - 1 and g(x) = x² + 1. Find and simplify: (g. ) ( ) Select one: A. 1 C. –2 D. -1 O E.2

A:

Q: 6) Determine the dimensions x and y that maximize the area given a perimeter of л. Assume each curve…

A:

Q: What percent of scores are less than 90?

A: Follow the procedure given below.

Q: 2x³ y³ by 5x²y⁵

A: Simplifying the given expression

Q: what is the vertex of V(x) = 325x2 – 4600x + 145000

A:

Q: On the day of a child’s birth, a parent deposits $25,000 in a trust fund that pays 3% interest,…

A: Let's solve.

Q: I have a sphere that has a radius of 18m. I need to calculate the volume. What is the volume if the…

A:

Q: If u and are the vectors below, find the vector whose tail is at the point halfway from the tip of…

A: The given vectors are: u→=4-1-5 and v→=-1-4-4

Q: Given the following initial value problem: dy/dt- yt²-1.1y where y(0) 1 The solution at t 0.75; Le…

A: Given :dydt=yt2-1.1y=ft,yy(0)=1

Q: A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes…

A: 11 sports  $1 11 sports  $2 1 sports   $10

Q: c). 10x² - 20x -80 d). -5x² + 10x + 15

A: We have given a polynomial and finding the factor

Q: Find all real zeros of the function. g(x)=-4x (x²-9) (x-3) −9)

A: To find the zeros.

Q: 20 (b-a-c) 2b = K²(a+b+c) ³ 2C (c-a-b) -b-a) za zb

A:

Q: 10) Solve for x when 2 log x - log 100 = 2 a) 105 b) 10° c) 10' 10⁰

A:

Q: 1) Find the volume of the prism.. 2) Find the volume of the cylinder. Round to the nearest tenth.…

A: Disclaimer: Since you have asked multiple question, we will solve the first question for you . If…

Q: Show that e = (1 + i)/√2 if and only if z = (n/4+2km)i, k = 0.±1, +2...

A: This question is related to complex numbers,  we will solve it using given information.

Q: Use the moving and additivity principles about area to determine the area of the triangle in the…

A:

Q: The angle between u = 3i-j-2k and v= i + 2j- 3k is 45° 90° 180° 30° 60°

A: Consider the dot product of two vectors

Q: Perform the indicated operation. Simplify your solution. 1+3-² 1-3-² Select one: A. 10 8 O B. O C. O…

A: Solving these question by fractional addition.

Q: 8) Let a 3-2 +45° for n-0, 1, 2, 3, ... If we write a as a recursive relation, it is Hint: calculate…

A: Given

Q: The domain of the piecewise function is (-∞0,00). a. Graph the function. b. Use your graph to…

A: Given.

Q: y = 2csc (0-) + 1 Period: Mid line: % Period: Key points: ( also graph the related sin function 3…

A: We have, y =  2 csc( θ - π/6) + 1   On compare with Y = a csc( bθ - c) + d Here, a = 2  , b = 1 ,  c…