1. The sum of two numbers is 45. The first number is twice as large as the second number. What are the numbers?

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: Problem 4. Let n E N, prove that every prime divisor p of the number n4 – n2 +1 is of the form 12k +...

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Q: 4. A scalar potential is defined by = q/4ng.r. Find the negative gradient of this function and what ...

A: Introduction: The negative gradient of a scalar potential is just the negative sign of the gradient ...

Q: nstructions: Evaluate the following polynomials. Show your solutions. • By Substitution Method (6) 1...

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Q: Four snail friends are out racing. They are able to go fast at the beginning, but they become tired ...

A: The speed of four snails is modeled by the below equations. kx=13logx+3gx=logx+logx−1hx=log2x−logx+1...

Q: If A={a,b,c,d,e,f} and B={k,l,m,n}, then find the Cartesian product ? × ? of A and B.

A: We have to find the cartesian product of the given sets A and B. The cartesian product is defined as...

Q: (6) Define T1,T2,T3 : R³ → R³ by T1 T3( y ) Y y – z (a) Find TT2( y). (b) Suppose that T1,T2, T|T2 a...

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Q: 4 -1 1 X1 100 -1 4 -1 1 X2 100 -1 4 -1 X3 100 -1 4 100 1 -1 4 X5 100

A: Introduction: Every system of linear equations can be transformed into matrix form. The matrix form ...

Q: 3 3 fx J,cx) dx = (x-4x)J, CX) +2x J,cx)+c (x-4x)J, CX) +2x JoCX) +c

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Q: Find the area under one arch of the cycloid x = a(t-sint) , y = a(1-cost)

A: Introduction: A cycloid is a two-dimensional curve that is constructed with half circles. One arc of...

Q: Match the solution curve with one of the differential equations. y" + 2y' + 2y = 0 o y" + 2y' + y = ...

A: From the given solution curve we see that the curve is periodic with a period of 2π.

Q: 1. Find the linear regression X 0.7 0.96 1.13 1.57 1.92 0.19 0.21 0.23 0.25 0.31

A: Linear regression equation can be calculated as, y=a+bx Here 'a' is the intercept of the line and b ...

Q: |1 0 2 A= 2 0 0 3 13 |A|=4 O |A|=1 O |A|=21 O |A|=0 O

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Q: nich limit is equivalent to tan x dx? n-1 TIk lim E (tan(- 2n 2n n- o k = O

A: In this question, the integral is represented as a limit of a sum. ∫abfxdx=limn→∞ ∑k=0n-1 fxk·∆x

Q: ded on the y-axi

A: In this question, the concept of maxima and minima is applied. Maxima and Minima The extrema of a fu...

Q: Consider the function defined by f(x) = In(2a + 1). 1. Determine its Maclaurin series expansion. 2. ...

A: The main objective is to find Maclaurin series expansion for f(x), the interval of convergence and w...

Q: (a) 1 FIGURE E.1

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Q: KErin Lucás Braylen ow how Jazon's length of fabric compares to Wil

A: Introduction: If the denominators are the same, then the fraction with the greater numerator is the ...

Q: In a community in which R elderly people and people with comorbidities are susceptible to a particul...

A: To determine the percent of susceptible that had been infected after 6 weeks.

Q: 18. 9y" – 6y' + y = 0, y(0) = 3, y'(0) = 1 %3D

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not men...

Q: Write 24,872 and 3071 in expanded notation

A: Expanded notation, also called expanded form, is a handy way to write numbers that shows the place v...

Q: There are 5 candidates for 2 board of director positions for the Tyco company. Fifteen of the top sh...

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Q: 2 2 4 4 6 6 -=-X-X-X-X-X-X (1) K... 2 1 3 3 5 5 7 1 1 1 = 1- (2) + 4 3 5 7 9 n² 1 1 1' 2?' 3? 6 ?22 ...

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Q: a circle is tangent to the line 2x-y+1=0 at the point (2,5) and the center is on the line x+y=9. fin...

A: Given that Line 2x-y+1=0 touches the circle at point P(2,5). It means line passes through P(2,5) and...

Q: 8. In the following either show that the set W is a subspace of the vector space V or give a counter...

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Q: 18. Which number line correctly represents the soluions of the inequality -1 > 4w? A. + -7 -6 -5 -4 ...

A: The given inequality is: -1>4w

Q: What is the estimate of the integral de 16x-10 sing 4-segment Trapezoidal Rule? a. 0.07694 b. 0.0767...

A: Given the integral ∫01dxx2+6x+10. We have to use 4 segment Trapezoidal Rule to find estimated value ...

Q: A city's population is currently 27,000 and is growing by 5.8% each year. If this continues, in how ...

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Q: Insert 4 arithmetic means between 1 and 15

A: Introduction: When there is a constant common difference between two successive terms of a sequence,...

Q: A company is considering two insurance plans with coverage and premiums shown. It needs at least $15...

A: Let units purchased for policy A = x units Let unity purchased for policy A = y units

Q: Suman and Kashish add and subtract -1 and -6. Suman claims that they can add and subtract the intege...

A: The given integers are -1 and -6  add them -1+-6=-7 change the order and again add -6+-1=-7 the addi...

Q: (b) By applying part (a), solve the congruences 2x = 1 (mod 31), 6x = 5 (mod 11) 3x = 17 (mod 29). 1...

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Q: What is the relative error in estimating the fırst derivative of f (x) difference approach with h-0....

A: We can solve this by using central difference formula and relative error formula

Q: II. Obtain the solution using Integrating Factors Found by Inspection 1. ydx + 2(y* - x)dy = 0 2. y(...

A: According to our guidelines we can answer only one question and rest can be reposted. 

Q: 7. Prove that the SolutmM of y + y = o is B sinx (hint y= Xu) by using Bessel's Functron definstian ...

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Q: d²x dx (v) - 2 + 10x = e2t x(0) = 0, x' (0) = 1 dt2 dt

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Q: Find the Re and Im parts of exp(z?)

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Q: 8. Solve the following system of differential equations by elimination. (Section 4.9) dx - 4y = 1 dt...

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Q: Solve and check: 3x – 2(2x – 5) = 2(x + 3) – 8.

A: Using the distributive property, it can be written that ab+c=a×b+a×c. The solution of an equation mu...

Q: of the angles

A: the angles are calculated as follows y=49°  Reason : Vertically opposite angles  

Q: Find two power series solutions of the differential equation about the ordinary point r = 0: (x2 + 1...

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Q: Solve integration for each of the following.

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Q: 1071 – 12 + 2x3 -11 +1lr2 – 13 + 3x4 2x1 – x2 + 10x3 – 14 3r2 – 13 + 874 = 6 = 25 -11 15

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Q: A ball is thrown from an initial height of 5 feet with an initial upward velocity of 35 ft/s. The ba...

A: It is given that the height (in feet) of the ball is a function h of time t (in seconds) such that h...

Q: ormula a? + b sides of a right t -

A: Introduction: The formula of the Pythagorean Theorem is given by,  a2+b2=c2 Where a is the base of t...

Q: Solve the given differential equation by undetermined coefficients. y" – y' – 12y = e4x %3D y(x)

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Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 У 5а-2

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Q: Use least square regression to fit a) linear, b)second order polynomial and c) exponential equation ...

A: The general linear equation is defined as y=ax+b. The general exponential equation is defined as y=a...

Q: Can you please show me every step.  The population of the world was 5.28 billion in 1990 and 6.07 b...

A: A. Consider the standard exponential form for the population growth.

Q: Q2. The differential equation +p(x)y+q(x)y² = r(x) is known as Riccati's equation. If one particular...

A: Introduction: The first order differential equation dydx+pxy+qxy2=rx is referred to as Ricatti's equ...