Under what condition can a three-dimensional system like Ψ(x,y,z) = F(x)G(y)H(z) can be factored into ? Prove it.

Q: Solve Solution x2-3x + 2 = 0

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Q: 10- Describe how each transformation(s) of the f(x)=5x² will the number of zeros the function has:…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: -1 2 0 3 0 1 -1 If A = 0 2 Find the eigenvalues and the eigenvectors.

A: We have to find the eigen values and eigen vectors.

Q: Which one of the following sequences below is arithmetic? O 48, 24, 12, 6, 3,... O48, 44, 38, 30,…

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Q: (b) [r sin(2x) da

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Q: State the most appropriate degree and the sign (+/-) of the leading coefficient of the following…

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Q: In a remote army camp, 10 soldiers have the ration for 21 days. If 3 soldiers leave the camp, for…

A: Given,           In a remote army camp, 10 soldiers have the ration for 21 days.           If 3…

Q: A. Write each of the following sets using the roster method. State the cardinal number of each set.…

A: We have to write each of the sets using the roster method and state the cardinal number of each set.…

Q: 21. Given the functions f(x) each: a.) (fog)(x), = 1 x + 5 and g(x) √2-x, find the following b.)…

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Q: Consider the quadratic equation −3x² + 5x − 2 = 0 . Which of the following statements are true?…

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Q: Let a be a complex root of x³ + 2x + 6. Find the inverse of a² + 2a + 1 in the form d + ba + ca², d,…

A: We have to find the inverse in the given form.

Q: Use any method to solve the system of nonlinear equations. (If there is no solution, enter NO…

A: To solve the following system of non‐linear equations.x2+y2=1y=-x2

Q: Solve the linear system given explicitly or by its augmented matrix. Show details. 3x - 6y=-11 - 3x…

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

Q: When x³ + kx² + mx - 3 is divided by x + 2, the remainder is 1. divided by x - 1 the remainder is 4.…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: D. Fill in the blank with € or €. SET A={factors of 12} SET B= {even numbers between 2 and 12} 1. 1…

A: Given, Set A={factor of 12} Set B={even numbers between 2 and 12} Aim: Find

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Q: A rancher needs to enclose two adjacent rectangular corrals, one for cattle and one for sheep. If…

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Q: #3: Compound interest earns interest on interest. 2000 is invested at 6.5% per year gives the…

A: Given query is to find the time taken become the double of the investment.

Q: R When 2x² + 7x + 2 is divided by 2x + 1, the result is x + 3 + 2x + 1 (A)-5 (B)-1 (C) 1 (D) 5 .…

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Q: Quadratic formula 2x2-13x+6=0

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Q: E. Direction: Analyze the Venn diagram below and find the complements of each set. 1. Given sets A…

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Q: A three-sided fence is to be built next to a straight section of river, which forms the fourth side…

A: Figure

Q: fully and then solve for x E C given 4x5 + 16x4 + +8x³ + =-3x - 12.

A: Let's find factored form and then solve for x.

Q: a. √27 b. 5.287 c. √49 d. 125 0 1 2 3 4 5 6 7 8 9 10 11

A: Topic:- number system

Q: How many two-digit number with no repeat can we make using digits from {1,2,3,4,5}? none of these…

A: Digit used = { 1,2,3,4,,5 } we want to make two digit number with the help of above digits total no…

Q: Evaluate 3 5 -81 ["³1" √√x ²³ dydxdz 4 X

A: To find:- ∫05∫081∫x43ey5 dydxdz

Q: Find u, u = (-1, 4), v = (4, 5) (a) ||u|| v, uv, and d(u, v). (b) ||v|| (c) (d) U V d(u, v)

A: The given vectors u=-1, 4, v=4, 5. We have to find the values of u, v, u.v, du, v.

Q: Level 4 1. If Has clearly communic explained. Small errors may be present (arithmetic or form) but…

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Q: Find the matrix that produces the rotation. 60° about the x-axis. A = Find the image of the vector…

A: To find the Rotation Matrix at an angle of 60° about the x - axis.  And , Then  find the image of…

Q: The total weekly sales for a newly released portable media player (PMP) increased each week. At the…

A: The total weekly sales for a newly released portable media player PMP increased each week. At the…

Q: Solve the system by the method of substitution. Check your solution(s) graphically. x² + 2y = 0 x² -…

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Q: Solve the system algebraically. x 3y + z = 2 2x + 4y -z = 10 3x - 4y + 2z = 8

A: The given equations are; x-3y+z=2 2x+4y-z=10 3x-4y+2z=8

Q: Find a polynomial function of degree 3 with real coefficients that has the given zeros. -1, 2,-6 The…

A: See this is solution in below.

Q: 2. Do the following exercises. Write your answers on the spaces provided: B = {0, 2, 4, 6, 8} C =…

A: Note: Since, the student has multiple questions in which the first question (question (E) is…

Q: Complete the table below giving the amount P that must be invested at interest rate 9.5 % compounded…

A: Let's find present value in all different time in years.

Q: 7. Let ƒ (x) = 4x − 3, g(x) = x² + 4, h(x) = x + 5. Evaluate the following. a. (f+g)(-4) b. (goh)…

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Q: Write a formula for the function g(x) obtained when the graph of f(x)=|x| is shifted down 10 units…

A: The given function fx=x. We have to find the formula for gx obtained when the graph of fx=x is…

Q: Make a truth table for if not P, then q What is your last column answer(read from top to bottom)?…

A: We have to make truth table.

Q: E. Direction: Analyze the Venn diagram below and find the complements of each set. 3. Let W =…

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Q: 1. Find all natural number factors (divisors) of the number 42:

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Q: C. State whether each set is finite or infinite. 1. {1,3,5,7,...999} 2. The set of letters of the…

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Q: Determine the value(s) of h such that the matrix is the augmented matrix of a consistent linear…

A: Given matrix is 1h3-4-9-5

Q: Matrix Arithmetic: Perform the following calculations for A and B. 5A+2B [3 6 01 A = 2 7 9 12 1 31…

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Q: What is the value of f(x) when x = 4 in the { 4x 2x² piecewise function f(x) = 04 O 8 O 16 O 32 O48…

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Q: Suppose that y varies directly as x. If x=5 when y 30, find x when y = 12.

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Q: Sarah is examining the quadratic equation y = 2x² + 5x − 3 and calculates the discriminant. What can…

A: Sarah is examining the quadratic equationy=2x2+5x-3and calculates the discriminant. To determine,…

Q: (x*2)+(y*1.5)+(z*0.5)=20 find the values of X, Y, & Z

A: Please see the below answer.

Q: Convert the given Scientific Notation number to a decimal (regular) number. 27.92 x 10-5 0.002792…

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Q: Given logx=m+n and logy-m-n express the value of log10x-:y^(2) in terms of m and n

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