Problem #4: Find the values of a and b so that the general solution of the differential equation y"+ay+by = 0 is given by y(x) = c₁e³x + (a) What is the value of a? (b) What is the value of b?

Q: x2-6x-49=0

A:

Q: -7 (5x+2) - 7(2 — 10x) = 423 83.80 O 6.44 11.29 O 12.89

A:

Q: adapted from Mount Rushmore: Why These Four Presidents?by the National Park Service        Gutzon…

A: The objective of the question is to understand how the author supports the claim that the four…

Q: Perform the following division (use synthetic or long division) 3x³-3x²-16x +4 x+2 The quotient of…

A:

Q: Fritz normally commutes at an average speed of 42 miles per hour, but this morning's heavy traffic…

A: Suppose the distance that is to be traveled by Fritz be d miles. Now, the time taken by Fritz for…

Q: A country's production of solar power, in megawatts, can be modeled by f(t) = 340 (1.2), where t is…

A: f(t)=340(1.2)t

Q: For the straight line defined by the points (3, 55) and (5, 87), determine the slope (m) and…

A: (x1, y1) = (3, 55)(x2, y2) = (5, 87)m =?b =?

Q: Fill in the blank to make equivalent rational expions. 6v v- 7 = (v - 7) (v + 5) X

A:

Q: Naomi wants to take fitness classes at a nearby gym, but she needs to start by selecting a…

A: The objective of this question is to find the number of classes Naomi needs to attend in a month for…

Q: -221 -802.7 -41.2 483.6 +74.4 +131.3 -566 -524.8 You have to add 5 of the numbers above, you can…

A:

Q: Find the average rate of change of the function between the given values of x. y = 2 + 5x + 0.5x²…

A:

Q: (b) Find the equation of the line containing the points (2,1) and (7,11). y=x+ (Type integers or…

A: The given data is as follows:The points are (2,1) and (7,11).

Q: Choose the number q so that (if possible) the ranks are (a) 1, (b) 2, (c) 3: 6 4 -3 -2 -1 and B 9 96…

A: Given that the matrices are first, let's talk about matrix A             (a) (b) (c)

Q: On a map, 1/2 inch represents 4/5 mile. What distance on the map represents 1 mile?…

A: The objective of the question is to find out how many inches on the map represents 1 mile. This can…

Q: The graph f(x)=X^2 was transformed to create k(x)=f(x-5)+1. Which of hte following represents k(x)?

A: Hence k(x)=x2−10x+26 (ans).Explanation:Step 1:

Q: Given the following factored polynomial, p(x)=x³(2-x)(x+2)5 Perform the Multiplicity Test by…

A:

Q: Drag the tiles to the correct boxes to complete the pairs. Match each definition of the word…

A: The objective of the question is to match the definitions of the word 'literal' with the sentences…

Q: This question has several parts that must be completed sequentially. If you skip a part of the…

A:

Q: Suppose the manufacturer wants to incorporate a nonzero minimum policy; in other words, producing 0…

A: Intro:  A nonzero minimum policy must be implemented in production to guarantee effective operations…

Q: Jenna has a bank account where the interest is compounded quarterly. The following equation…

A: The given equation is a standard formula for compound interest, which is A = P(1 + r/n)^(nt). In…

Q: The simple interest charged on a 10-month loan of $39,000 is $997. Find the simple interest rate.…

A: The given simple interest charged on a month loan of  is .The aim is to find the simple interest…

Q: 3.) XX 3x x+2 >

A: To solve the following inequality.

Q: A person wants to invest $16,000 for 2 years and is considering two different investments. The first…

A:

Q: 17. Let [12 A¹ = 0 3 1 412 If possible, find a matrix C such that --- ACA = 2 1 3] 2 2 214 -1

A:

Q: Determine whether the function's vertex is a maximum point or a minimum point. y = x² + 6x +9 The…

A: (1) the vertex has minimum point (2) the coordinates of vertex=(-3,0)(3) Zeros are X=-3(4)…

Q: how did changing the equation from (picture 1) to (picture 2) affect the key features. please use at…

A:

Q: 8. PROBLEM SOLVING Your friend has two standard decks of 52 playing cards and asks you to randomly…

A: The objective of this question is to find the probability of drawing two spades from two standard…

Q: Kailasben

A: The objective of the question is to find the area of the field in acres. The field is in the shape…

Q: from Thomas Jefferson’s Second Inaugural AddressMarch 4, 1805 On taking this station on a former…

A: The objective of the question is to identify the tone conveyed by the sentence from Thomas…

Q: On a map, 12 inch represents 45 mile. What distance on the map represents 1 mile?…

A: The objective of the question is to find out how many inches on the map represents 1 mile.

Q: The crime rate of a certain city is increasing by exactly 4% each year. If there were 450 crimes in…

A: The objective of this question is to find out the number of crimes in the year 2020 given that the…

Q: Given: Revenue = R(x) = 20x and Total Cost = C(x) = 2x² + 4x + 24 where x = the number of units…

A: Given that the revenue function  and total cost function

Q: Add the following and express your answer in appropriate scientific notation: (5.1 x 10-47) + (9.1 ×…

A:

Q: where does t come from?? Is that just the value of "x" in this situation or is it t=thousands?

A: The given graph is

Q: what is the x-intercept

A: For x- intercepts, set y=0.

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: Factor completely: 4x³-49x

A: Given expression isWe have to factor the above expression completely.

Q: 4-72. Find the value of the unknown quantity, Po, that establishes equivalence in the cash-flow…

A: Po here is Present Value of Future cash flows.HereRate of Interest(i) = 20% or 0.2The formula is…

Q: 3. CONSUMER ARITHMETIC (A) Mrs. Jack bought 150 T-shirts for $1,920 from a factory. Calculate the…

A: Mrs. Jack bought 150 T-shirts for $1920.To calculate the cost of one T-shirt.The T-shirts are sold…

Q: Find a set of parametric equations to represent the graph of the rectangular equation y=3-x^2 using…

A:

Q: Given the matrix A = A³ 88 TO 0 -3 find A³.

A: Given the matrix .To find .

Q: Write the linear system d x(t) = 1x + ly dt d y(t) = -4x+ly as a matrix equation and find the…

A: Refer the below solution for given question, if any doubt please comment Explanation:Solution

Q: Let Then where a11 = , a31 = , a12 = -1/9 , a32 = 1/9 1 +-679 A = 1 1 A-¹ = , a13 = 0 a11 a12 a13…

A: a11​=11782​ a12​=117−28​ a13​=11763​ a21​=1175​ a22​=117−4​ a23​=117−9​ a31​=117−13​ a32​=11713​…

Q: approimately how long will it take for 8000 to double at an annual interest rate of 6.25% compounded…

A: The objective of this question is to find out the time it will take for an initial amount of 8000 to…

Q: Select all statements below which are true for all invertible n x n matrices A and B Note you only…

A: In conclusion, the statements that are always true for all invertible n x n matrices A and B are:B.…

Q: Dulce et Decorum Est*by Wilfred Owen Bent double, like old beggars under sacks, Knock-kneed,…

A: The objective of the question is to understand how the choice of words (diction) in the closing…

Q: About the Hubble Space Telescope by NASA and STScI (adapted excerpt) Orbiting 360 miles above Earth,…

A: The objective of the question is to identify the central idea of the passage about the Hubble Space…

Q: Identify the key characteristics of this parabola. Enter numerical values only. (Hint: Each…

A:

Q: 6. Find the solution. -x-5 + 3 = x

A: