8. Find the general solution of the following ODE. y"" + 3y" - 4y = x

Q: Use the discriminant to determine the number of solutions to the quadratic equation 10q2 +60q+90 =…

A: Given query is to find the number of solution of the quadratic.

Q: Use a graphics calculator to graph f(x) = -x + 4x2 + 1. Find the intervals for which the function is…

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Q: Suppose T: R³→R² is a linear transformation. Let U, V and W be the vectors given below, and suppose…

A: The given vectors, u=1-21, v=1-22, w=-48-7 Applying the linear transformation T, Tu=10-14, Tv=13-19…

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Q: The sum of two numbers is 22 and their product is -48. Let x = one of the numbers. Identify all the…

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Q: Although it is not defined on all of space R³, the field associated with the line integral below is…

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Q: Find the absolute extremum, if any, for the following function. f(x)=2x- -9 Select the correct…

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Q: 3 4) y = -x - 4 2 1 y == x + 1 4 number of solutions

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Q: Select your answer Solve for z: Oz=3 Oz=10 O z = -3, 10 Oz=9,-9 z = 3, -10 z+9 z²-81 = 1

A: Topic = Algebra

Q: Exercise 2 Find the x- and y-intercepts of the line 5x+2y=-10. Exer Find x-4

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 8. What is the value of e-? Round to the nearest hundredth. O 0.14 0.37 O 0.61 O 1.65

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Q: Find the absolute extremum, if any, for the following function. f(x) = 4x² - 3 Select the correct…

A: for critical points  put f'(x)=0dxndx=nxn-1f(x)=4x4-3if d2xdx2>0 then abolute minimum

Q: Two years ago, a boy was 5/4 as old as his sister. In 13 years, he will be 10/9 as old as his…

A: let the present age of boy = x the present age of sister = y

Q: Find the GCD or LCM as indicated. Given 120 and 270, find the GCD. 6 O 30 O 15 O 10

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Q: Find real numbers a, b, and c such that the graphics of the function f(x)=ax^2+bx+c Contains the…

A: We have to find real numbers a, b, and c such that the graphics of the function f(x)=ax^2+bx+c…

Q: Find the number of terms in the sequence or the sum of the sequence as requested. Find the number of…

A: check the sequence, whether it is an A.P or G.P .then use the nth term to find the n

Q: Write as an addition problem and find the sum. Susan lost 4 pounds the first week, gained 3 pounds…

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Q: Solve the equation 4x-2(3+5y-2)+2y(7x2+1)+y-1(4x-1-3) when x=1 and y=-1

A: Given             4x-2(3+5y-2)+2y(7x2+1)+y-1(4x-1-3)…

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors.…

A: To write the following expression as a sum and/or difference of logarithms. To express powers as…

Q: -5² + 3(¯5)² 50 O -50 O 49 O -49

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Q: 17) y = -x + 4 y = 7x-4 number of

A: Given query is to find the number of solutions.

Q: Simplify the radical. √√√48 04 O 16-√√3 0 4√3 06

A: given number = 48let n = 48

Q: 4. Please calculate the determinant of -t 1 0 : 0 0 0 0 -t 0 1 -t : 0 0 0 0 ... ⠀⠀ 0 0 0 -do -t -a₁…

A: We need to determine determinant.

Q: Solve the equation and state the solution set. Remember to identify the values of the variable for…

A: The given expression xx-3=5x+13. We have to find the solution for this expression.

Q: Simplify the radical. √324 O 18 3√√4 44√3

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Q: 17.) compute f-g ( Note: each term in the sec one of the following Should only be 0, 1, 2, 3, 4, 5,…

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Q: 2. Look at the graph below. Use that graph to answer the following questions. 120 40 a. b. There are…

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Q: 6. Use the binomial theorem to prove that 3 = C(n,0) + 2C(n,1)+2²C(n, 2) + +2"C(n, n)

A: By using the binomial thorem to prove that, 3n=Cn, 0+2Cn, 1+22Cn, 2+...+2nCn, n

Q: Solve the system by the elimination method. 4x - 5y = 2 16x + 15y = 15 Select the correct choice…

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Q: Let A = (2 2 0 250 .Define an invertible matrix P and a diagonal matrix D = 003, of P and X3? P = P…

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Q: ¹ (1¹). Select all the eigenvalues of Select all the correct options. 0 -1 0 1 2

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Q: Write the equation in exponential form. Assume that all constants are positive and not equal to 1.…

A: properties of log is      if  logxy=z                                                then y=xzgiven…

Q: y-x-1 = 4 y=-=1/x-4 2 A) (-4,5) 3) one solution C) infinitely many solution 2) no solution

A: Given query is to find solution

Q: List the corner points for the following collection of constraints of a linear programming problem.…

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Q: Given the graph of the Logarithmic Function g(x) = log₂ x: The graph of the function f(x) = log₂ (x…

A: We have to find translation, domain and range of the given function.

Q: Solve using the percentage proportion. If the percentage is 8.75 and the rate is 33-%, find the…

A: As per percentage proportionpartwhole=%100

Q: List the corner points for the collection of constraints of a linear programming problem. x ≤ 10 y ≤…

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Q: Divide in the indicated base. 26) 1306 261 R[ 16 1306 6

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Q: Solve the following nonstandard maximum problem: Maximize P = 3x1 + x2 subject to the constraints:…

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Q: After graduating with a master's degree, Aponi combined all of her student loans into a single loan…

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Q: QUESTION 13 If two rotation quaternions are p = [0.866, 0.162, 0.382, 0.279] and q = [0.924, 0.207,…

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Q: Solve the problem. Express your answer in simplest form. There were 23 yards of wire on a spool.…

A: Total length of wire in spool =2338 yard length of wire bought by customer from spool =834 wire left…

Q: Evaluate the function f at the given value. f(-9) for f(x) = (3x+1 ifx11

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Q: The initial population size was 720 jackelopes. After only 2 year(s), a new count was taken…

A: NOTE: Refresh your page if you can't see any equations. . the exponential function is given by the…

Q: Which of the items below is the mathematical translation of the statement, "The product of three…

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Q: x - 2y = 10 3x + y = -12

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Q: Theodore purchased a vintage painting worth $480 from an art dealer. The dealer estimates that the…

A: Theodore purchased a vintage painting worth $480 from an art dealer. The dealer estimates that the…

Q: solve for axis of symmetry and vertex. show work f(x)=x2-6x+4

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Q: Use properties of logarithms to expand the logarithmic expression as much as possible. Log base b…

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Q: Which graph best represent the function f. (2, ifx>-3 f(x) = 1-2, if x <-3

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