Prove that 3√2 is irrational. you may use the proposition that the product of two even integers is even

Q: 4. (t2 +1)y - 4t (y + VT) = 0. (Try by two methods!)

A: We will solve this problem using separation of variables technique.

Q: Leslie matrix is given below with the usual age groups, 0 year old (0-1), 1 year olds (1-2), etc.…

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Q: Hannah expects to receive Php 200,000 five years from now. How much is the money worth now if the…

A: Given Future amount = A = Php 200,000 Time = t = 5 years Interest rate = r = 10% compounded monthly

Q: Problem 3 Bappese fr exists and is on (o,). beunded Prove that if bou fa)=0, them fim fix)=0,

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Q: . i. Is 221 – 1 a prime? Give your reason. Note 21 = 3 x 7 is not prime. ii. Is 219 – 1 a prime?…

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Q: The triple integral 4 0. 1 dx dy dz -4 evaluates the volume of the rectangular box {(x, y, z)| – 3 <…

A: True   We  solve this triple integral

Q: If u = x3 + y3 where x = a cos t, y = b sin t, then %3D du dt

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Q: 1. Bianca enjoyed reading the Harry Potter series by J.K. Rowling, so she will also like her other…

A: Note: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question…

Q: Giveni- The fourier Seviej a fIt)= Sin ht TT n=1,3,5,.. find: a +6

A: We know that the Fourier series of a function f(x) defined on the interval 0, 2L is…

Q: How Fnd the Goneral soluhomfor dhe following %3D

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Q: A particular solution of the differential equation y+4y =8sin2x is Select the correct answer. O a.yp…

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Q: 5/- Show that Jim c

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Q: Cind the best. linear approximation to f(r) = r2 on the interval (0. 21.

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Q: Give the VALUE only. No need to include the unit. Let s, =15r +10r +20 and s, = 5r + 40r , t 2 0, be…

A: Given positions functions are SA = 15t2 + 10t + 20SB = 5t2 + 40t

Q: For each problem, use a left-hand Riemann sum to approximate the integral based off of the values in…

A: We can solve this using formula of left Riemann sum

Q: The set is a basis for a subspace W. Use the Gram-Schmidt process to produce an orthogonal basis for…

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Q: (b) Compute two iterations (x2, va) of Newton's method starting with (xo, yo) = (1, 1) to estimate…

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Q: Determine the slope of the tangent to the curve y -3xy +2.x = 4 at the point (3,2).

A: Let us consider the curve y=f(x) To determine the solve of the tangent to the given curve at point…

Q: Part 1 Use Euler's method to approximate y(t) at t=1.5. Part 2 Use Modified Euler's Method…

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Q: Q-II) 11 Use row operations to find the inverse of the natrix A 0 11 0 0

A: The given question is related with inverse of a matrix. Given that A = 111011001 . We have to find…

Q: If R is symmetric, then R 1 is symmetric. True False

A: We have determined that if R is symmetric then R-1 is symmetric or not. If R is symmetric, then R-1…

Q: Give example closed set and bounded set is compact

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Q: f(n) (0) 1. Write the first six_terms of the Maclaurin series f (x) = E%=o n! 00 Zn=0 %3D

A: Introduction: We know that the formula of the Maclaurin series for the function f(x) is given by,…

Q: Let f be a nonnegative bounded measurable function on a set of finite measure E. Assume f = 0. Show…

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Q: Place the compass point at the vertex and open the compass up. Swing the compass over both sides of…

A: Given below clear answer

Q: You have $5000 to invest for 1 year. Fund A has an estimated 4% annual return, and Fund B has an…

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Q: Prove or disprove: For n > 2, 2 is a generator of Zn if and only if n is odd

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Q: Step 3 Therefore, (은)+ (음) (문) + (우)기 w M4 X (rounded to six decimal places). Submit Skip (you…

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Q: If A = -2 - 3i, and B = 3 + 4i, what is AB?

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Q: dy Find given x' +y =8.y. dx

A: Here we can use implicit differentiation for finding the value of dydx. For the purpose we need to…

Q: Problem 2. Forward elimination changes Ar=b to a row reduced Rx= d. Suppose that the complete…

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Q: 14. Briefly explain why || d || == || c || when d=axb and || a ||=1. a b d

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Q: Use the Lagrange multiplier method to find the point on the surface z zy to the origin. O A. (3,3,1)…

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Q: Use this interpolating polynomial for the data points f(x) 1 0-368 1-2 0-301 1-3 0-273 1.5 0-223 To…

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Q: ) Using only the e,8-definition of limit, prove that 1 lim x--1 x

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Q: How many funcei ons F{,2,3,4is}→ {l,2,3} are ehere eien er FCI)=1, F(2) 2, f (3) =3? or

A: To find the number of function f such that either f(1)=1 ,f(2)=2 or f(3)=3 .

Q: 18. Linear mathematical programming techniques 20. Which of the following pairs of coordinates…

A: We know that a linear programming problem consist of a objective function and a set of constraints.

Q: X e* =2 0.750 O 0.937 O 1.750 O 0.853 O 0.875 O

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Q: What are the steps in solving problems involving direct proportion?

A: Concept: When the ratio of the things remains constant, it is said to be direct proportion.

Q: ned by f(z) = (: analytic, then

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Q: Evaluate the triple integral zdV, where E is bounded by the cylinder y +z2 = 16 and the planes E x =…

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Q: Part 1 Use Modified Euler's Method (Runge-Kutta method of order two) to approximate y(t) at t=1.2.…

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Q: Solve the following system of four simultaneous equations using Gauss-Seidel Method w+ 2w² + 3w + 4…

A: Given detailed answer below

Q: Mrs. Lopez asked a carpenter to construct a rectangular bulletin board for her classroom. She told…

A: Given : Area of the rectangular board is 12 ft. square.

Q: (1) Which of the following linear transformations is 1-1? (a) T(1,y) = (x + y,r+y) (b) T(r,y) =2r +…

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Q: m and 5.50 m. What is the standard deviation

A: Introduction: The Standard Deviation in descriptive statistics is the degree of dispersion or…

Q: Let V = R. For u, v e V and a e R define vector addition by u H v := u + v – 1 and scalar…

A: Given (V, ⊕, ⊙) is a vector space with operations u⊕v = u+v-1a⊙u = au-a+1

Q: Define: what is an equivalence relation?

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Q: Q: Solve by iteration methods the following 2X + Y+ 6z= 9 8X + 3Y + 2Z= 13 X + 5Y + Z= 7 X=2 Y=4…

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Q: Solve the initial value problem. y'+3y 1, y(0) = 1 y=D

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