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Q: Determine all prime numbers a, b and c for which the expression a² + b² + c² – 1 is a perfect square...

A: We have to determine all the prime numbers a, b and c such that these prime numbers satisfy the expr...

Q: If W(f,g) = a², then W(2g, f-9) = %3D (A) a2 (B) -222 (C) 2x2 (D) -z? (E) None

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Q: Sho (x}Find the volume of the objeçt represented by f(x) = sin x + cos y On the region R lies under ...

A: The volume of the solid can be calculated using the double integrals. The formula for the volume usi...

Q: The solution of у" + у 3D 0, у(0) — 0, у'(0) — 1 is y(a) = (A) cos x (B) sin x (С) 1 — е ӕ (D) 1– eª...

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Q: 13. Find the inverse of the matrix * 1 2 3 A = -2 -2 5 4 1 1 5 1 A : 10 0 0 5 1 0 0 A : 1 O A 4 1 10...

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Q: Solve the following using second shifting theorem (t- shifting) 1.Solve the Laplace transform of the...

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Q: Q1) For the following problem, write a differential equation to describe the physical system, and so...

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Q: 9. Given the point P(4,2,3) on the sphere S with the equation given below, find the point Q such tha...

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Q: 11. Any square matrix A with det(A)=-2 has an inverse matrix. True False

A: Since you have asked multiple question, we will solve the first question for you. If youwant any spe...

Q: Problem 1. Consider the CPI table below. Year CPI 1984 103.9 2000 172.2 2001 177.1 2002 179.9 2003 1...

A: The current cost can be calculated using the CPI formula. The formula for the CPI is Current CPI=Cur...

Q: Find a root for the following equation using the secant method. Start from r-1 = -2 and ro = -1.5, a...

A: The secant method can be used to calculate the root of the function. The formula used for the secant...

Q: a growing population of rabbits on Br'er Island can initially be modelled by the CApe 13 model, with...

A: Given that: N=N0et/2N=BC+e−t To find the value of B and C in terms of N0 and Nc.

Q: 7. If A is an upper triangular matrix and B is a lower triangular matrix, then ((A")-1 – 2B)-1 is : ...

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Q: Let a metallic rod 20 cm long be heated to a uniform temperature of 100° C. Suppose that at t = 0, t...

A: Your answer is dependent on x, position from left end, and is the sum of infinity series.  

Q: For the following geometric​ sequence, find a6.   5​, 5/3​, 5/9​, 5/27​,

A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The...

Q: Use the annihilator method to determine the form of a particular solution for the given equation. z'...

A: The annihilator of xm is Dm+1. So, annihilator of x is D2 Annihilator of eax is D-a. So, annihilator...

Q: 2. 7.5 3

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Q: Consider Bernoulli's differential equation y' + y = aty", y(0) = Yo a €R Solve the differential equa...

A:     Given Bernoulli's equation y'+y=aty3,y0=y0,a∈ℝ. (i) Dividing by y3 on both sides, y-3y'+y-2=at L...

Q: Two Godowns A and B have grain capacity of 100tons and 50 tons respectively. They supply to 3 ration...

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Q: For a building with perimeter of 146, the exterior walls are 8 ft high and has 2×4s studs at 19" on ...

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Q: Consider the D.E. y+4y" 1- cos(2r). Then a suitable form of the particular solution can be written a...

A: A linear non-homogeneous ordinary differential equation with constant coefficient has the form anyn+...

Q: Suppose that in AABC, mÃB+ mAC < T. Prove that m < B+m < C < T.

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Q: QUESTION 17 (x() If X= x2(t) is solution of the IVP X =0 1 (0 4 -4) X(0) =0 then x1(t)+x2(t) +x3(t) ...

A: We have X'=04-4010001X, X0=001 Now, we need to find the solution of X'=AX  Here, A=04-4010001 First,...

Q: EXERCISE: The following functions f(x), which are assumed to be periodic with period 2t and, for the...

A: A graph is periodic in an interval, if it repeats itself in that interval. Use a graphing utility to...

Q: 3 : USE PARTIAL FRACTIONS s(s² +1)

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Q: Let the universe of discourse be R. Prove that ∀x∀y [(x < y) → ∃z(x < z < y ∧ z ∈ Q)

A: Let the universe of discourse be R. Prove that ∀x∀y [(x &lt; y) → ∃z(x &lt; z &lt; y ∧ z ∈ Q)

Q: Use Newton-Raphson method to solve the system x +y- 1 0 -y x+1 = 0 with the starting value (Xo.yo) (...

A: Use the following formulae, to find the approximate solution of the non-linear system by Newton-Raph...

Q: I'm showing that you ordered a computer and printer from Office Supply. Their invoice showed a total...

A: Let the price of the computer was $ x . Then the price of the printer was $ (x - 1200). The invoice ...

Q: f(t) = {4 – t²; – 2<1 <2

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Q: х4—1 6. The x -intercepts of the polynomial P(x): are : х2—1 a.(-1,1) b. (1,1) C. none d. (i,-i) 7. ...

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Q: Let T = {0, 1, 2, 3} and the relation R is defined on T as follows: R {(0, 1), (1, 2), (2, 2)}. The ...

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Q: Calculate the 4 digit rounding relative error in the above arithmetic operation for x 0.1

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Q: Which mathematician is known as the father of projective geometry? Bolyai Desargues Poincare Reimann

A: We know that Projective geometry, branch of mathematics that deals with the relationships between g...

Q: Determine the volume if the area common with y^2-3x+7y=8 and x^2-4x+3=y^2 is revolved about the dire...

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Q: Deutchlander Machine Company (DMC) makes two types of printing presses: a four-color litho and a two...

A: To solve LPP, the problem should convert to canonical form by adding slack, surplus and artificial v...

Q: Use the principle of m matical induction to prove that for every positive integer n, the quantity (3...

A: Principle of mathematical induction: This method is used to prove a statement or theorem. In this we...

Q: 720,425 written in word form

A: To write any number in words, first of all, form groups of 3 digits of the number from right to left...

Q: 1. One of the following matrices is NOT an elementary matrix.

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Q: 4. If 2 3 -1 1 A %3D 1 Then det(A) -34 -26 34 26 O 5 3

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Q: Use the laws of logarithms to combine the expression. 3(log x- 2log y) –(3 log z - logw)

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Q: Solve the following system of equations by Gauss-Jacobi's iteration method, up to 4 iterations. Also...

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Q: Let R' have the Euclidean inner product and let u = (1, 2, -1) and v = (3, 1, 0). Then proj u 5 10 6...

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Q: One batch of walnut muffins uses 1 cups of walnuts. How many cups of walnuts are needed to make 3 ba...

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Q: Snd the werse hapiaca Fess =&

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Q: Consider the D.E. y(ª) + 4y" = 1 – cos(2x). Then a suitable form of the particular solution can be w...

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Q: Find the divided difference f[x,x,. x,,x], if A'f (x,)=144 and h=2. O a. 3 O b. None of these OC 1 O...

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Q: 2. Solve the initial value problem + 3x? ) dæ = (cos(y) – e" Vr³ + 1) dy, 2Vx³ + 1 where y(0) = 0.

A: Check whether the equation is an exact equation or not. If it is true, then use the formula of solvi...

Q: Symbolize the following sentences in SL Use the following symbolization key A: Albert lives happily ...

A: # we are entitled to solve three subparts at a time please resubmit the other parts if you wish to g...

Q: Two identical rectangular tanks, A and B, are completely filled with water. Each tank measures 60 cm...

A: The time taken by a pipe to drain a tank will be equal to the total volume of water inside the tank ...

Q: Let T = {0, 1, 2, 3} and the relation R is defined on T as follows: R = {(0, 1), (1, 2), (2, 2)}. Th...

A: The symmetric closure, R(s) is calculated using the formula, R(s)=R∪R-1 , where, R-1=b,a: a,b∈R . Th...

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.