If A is an n×n matrix and if c is a scalar, find det(cA) in terms of A.

Q: Solve the following initial value problem y = 9x y" - 81y = e⁹, help (formulas) y(0) = 6, y'(0) = 7

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Q: 9 8 7 6- -9 -8 -7 -6 -5 ch 3 +2 1 14 -00 8 x g ( x ) = • (× + • ) (×-0)

A: The General form of a parabola is given by  where (h,k) is the vertex of the parabola.The vertex of…

Q: Sophia has a book fund to save money for her college textbooks, and she also works at a part-time…

A: Sophia's grandmother gave her $1,000 to start her book fund. Sophia decided to add $50 to the fund…

Q: Consider the function graphed below, 10+ 9 8 7 6 5 4 3 2 1 -10 -9 -8 -6-5-4-3 -2 -2 -3 -4 -5 -6 -7…

A: Final answer is as follows:Explanation:Here, we have to provide the intervals where the function is…

Q: O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Solution is attached Explanation:Step 1: Step 2: Step 3: Step 4:

Q: 2. Solve the following homogenous differential equation 4 +5x=0 where x(0) = 1, (0) = 0.

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Q: (a) Find a subset of the set {(5,1, 2), (1, 3, 5), (7, 7, 12), (2, 1, 5)} that forms a basis, call…

A: The given set is {(5,1,2),(1,3,5),(7,7,12),(2,1,5)}. Set B= {(1,1,1),(1,2,4),(0,1,2)}

Q: True or false (with reason if true or example to show it is false): (a) A square matrix has no free…

A: Since we only answer up to three sub parts. We’ll answer the first three. Please resubmit the…

Q: Graph 1 Graph 2 Graph 3 -8-64 8- 6- 4- 2- 2 4 One-to-one? O Yes No O Yes No O Yes No -6-4 Graph 4…

A: Graph 1: It is a NO.Graph 2: It is a NO.Graph 3: It is a NO.Graph 4: It is a YES.Graph 5: It is a…

Q: The cofactor C.;; of the entry a¡¡ is given by (-1)³ + İM¡¡. Substitute this expression in the…

A: -2, 0, 7, 0-2, 7Explanation:Recalling,The cofactor is commonly used in the process of determining…

Q: ||| O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: Shaded region shows the solution for the inequality. Explanation:

Q: Find the time it takes for $5,900 to double when invested at an annual interest rate of 19%,…

A:

Q: III O Week 4: Quadratic Equations and Functions Solving a word problem using a quadratic equation…

A: t=1.54 or 0.26 secondsExplanation:Step 1:Step 2:

Q: 15,000 that deprediates 11% yearly How much will it be in 10 years

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Q: 9- f(x) g(x) 2 + g(x) = 0 (x-6)²

A: The given graph isWe observe the following from the graphThe vertex of the graph of g(x) is (1,7)…

Q: What is the area of this figure? 7 yd 2 yd 5 yd 2 yd 6 yd 3 yd 7 yd Write your answer using…

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Q: a woman paid $92,000 down for a house and agreed to pay 18 quarterly payments of $4,700 each. If…

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Q: (x + 3) x²(x² - 9)²(x² + x + 1)² dx (Set up the integral only using PFD, do not integrate)

A: To set up integral by using PFD.

Q: Write a value in each region that makes the inequality or inequalities true. -4(x-2)≤0 -12-2(8-x)

A: To write a value in each region that makes the inequality or inequalities true.

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of the question is to determine whether the graphs of the functions f(x) = -x and g(x)…

Q: ||| O Week 2: Systems of Linear Equations Graphing a linear inequality in the plane: Slope-intercept…

A: The shaded part on the graph shows the inequality.Explanation:

Q: Graph 1 8- 6. 4- 2. Graph 2 Graph 3 -2- -6- • One-to-one? O Yes No O Yes No O Yes No Graph 4. Graph…

A: Graph 1: NoGraph 2: NoGraph 3: NoGraph 4: YesGraph 5: YesGraph 6: No Explanation:Recall that the…

Q: If $14,381 is is invested in this CD, how much will it be worth at maturity in 10 years? Round to…

A:

Q: 3. Simplify the logarithmic expression: 2 - 3 log4 p - log4 (d² - w) + hlogy

A: The simplified form is: log4​(p3(d2−w)16yh​)Explanation:

Q: emma and a friend are driving to niagara falls for vacation they drove 600 miles to get there if…

A: The objective of this question is to find out how many miles Emma drove during the trip to Niagara…

Q: Rewrite each expression in the form a(b)x a.  52x b. 32x-3

A: a. 52xb. 32x-3We have to express in the form of abx

Q: Robin, who is self-employed, contributes $5000/year into a Keogh account. How much will he have in…

A: Robin, who is self-employed, contributes $5000/year into a Keogh account. How much will he have in…

Q: Brandon wants to ride his bicycle 21 miles this week. He has already ridden 6 miles. If he rides for…

A: The objective of the question is to find out the average number of miles Brandon needs to ride each…

Q: It costs a company $3,500 to produce 3,000 pencils whereas it costs the company $1,500a month even…

A: The objective of the question is to find out the number of pencils the company needs to produce and…

Q: The graph of 9(x) is shown below. Fill in the blanks to complete the equation for g(x). Enter the…

A:

Q: 1. Recall that if A and B are invertible matrices, (AB)-¹ = B-¹A¯¹. (a) Give a counterexample to…

A: A and B are invertible matrices

Q: Please do the following questions with full working out. Question is in the image

A: Given  permutation is: a=(12)(345)Objective :Find the order of a: O(a)

Q: Suppose you want to buy a $451,314 home. You can put $90,000 down and can finance at 7.5% APR…

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Q: The ninth and fifteenth terms of a geometric progression are 81 and 6561 respectively. Determine the…

A: 168.5Explanation:Refer to the attached images for the step-by-step answer:

Q: 2. Recall that coo denotes the finite sequence space which is equipped with the || ||1-norm. Let T…

A: I hope this proof will help you.Explanation:To show that the linear map T:c00​→c00​, defined by…

Q: If B=-2t+1 and A=t+9, find an expression that equals 2B+2A in standard form

A: Given:  To Find:  To find an expression that equals in standard form.

Q: Question 5 Rate ratio and Finance. 5.1 Cape Town is 1200 kilometers from Johannesburg. A, A taxi…

A:

Q: Use multiple representations to create the inverse of y=2x Is the inverse a function?

A: The objective of this question is to find the inverse of the function y=2^x and determine if the…

Q: Vipul

A: The objective of the question is to find the probability density function of the random variable Z,…

Q: Consider a home mortgage of ​$225000 at a fixed APR of 4.5​% for 25 years.   a. Calculate the…

A: The objective of this question is to calculate the monthly payment for a home mortgage, determine…

Q: If f(x)=−x and g(x)=−x, then f and g have identical graphs.

A: The objective of this question is to determine whether the graphs of the functions f(x) = -x and…

Q: MULTIPLE CHOICE Question 4 For the quadratic function f(x)=x²-3, which statement correctly describes…

A: The objective of the question is to identify the correct description of the graph of the quadratic…

Q: g(x) y f(x) th 6 5 + La do ci 10 6 a 3 + 2 -9 00,(0 + ×) 0 = ( × ) ɓ

A: Given: In the following graph, are shown.To Find: To write the equation of .

Q: The differential equation - −5xy² – 8xy + (−5x²y – 4x² - 3) dy 0 dx Has solutions of form F(x, y) =…

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Q: J TICKET ADMIT ONE A. $950 B. $1,400 C. $600 $1,800 BRAZORIA COUNTY FAIR PARKING 5% FOOD 25% VENDOR…

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Q: Use the Venn diagram to determine the roster form of set C. Set C in roster form is ☐ (Type a whole…

A: The given Venn diagram

Q: PLS HELP ASAP ON ALL ASKED QUESTIONS AND PLS SHOW ALL WORK

A: The `linsolve` function in SCILAB is used to solve a system of linear equations simultaneously. It…

Q: 3. The left shift operator is given by T : l² → l² by T(x1, x2, x3, ....) := (x2, x3, x4, ....) for…

A: To find the operator norm ||T || of the left shift operator T : ℓ2→ℓ2, we need to find the supremum…

Q: Week 5: Functions Identifying functions from relations For each relation, decide whether or not it…

A: Relation 1: FunctionRelation 2: FunctionRelation 3: Not a FunctionRelation 4: Not a…

Q: Choose True or False for each statement by pressing the correct hotspot and then pressing the answer…

A: Given graph of function