Test the validity of the following argument S1: if 5 is less than 3 then 6 is not a prime number S2: 5 is not less than 6 S3: 5 is a prime number.

Q: x++2x+24 Given f (x)= x+4

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Q: Joy invests a total of $13,500 in two accounts. The first account earned a rate of return of 13% (af...

A: as per our company guideline we are supposed to answer only one qs kindly post remaining qs in next ...

Q: Calculate L4 for f(x) = 84 cos ()

A: Given,           f(x)=84cosx2  over 2π4, 2π2

Q: Example 2: Evaluate numerically I= f fxye dydx.

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Q: Example 5.8. Solve du 0 0, ax2 at for (i) u(x, 0+) = f(x), (ii) u(0, t) = 0, t > 0, (iii) u(1,t) = ...

A: To solve: ∂2u∂x2=∂u∂t, 0<x<1, t>0 And, the boundary conditions are: ux,0+=fx, u0,t=0, t>...

Q: In Problem 5, you found the closed formula for the sequence below. Use proof by induction to verify ...

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Q: 4. Find the solution to the differential equation ä + 3i + 2x = 0 x(0) = a, i(0) = b

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Q: (b) Find the power series solutions of the given differential equation about the ordinary point x= 0...

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Q: Suppose a sample of a certain substance decayed to 69.2% of its original amount after 300 days. What...

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Q: NAME ations ach equation for the indicated variable 1. Solve 6-mx tb for x 4-P+Prt for t. 4 Solve x ...

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Q: f(t) = 6t4 %3D L{f(t)} = %3D

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Q: А. X+dy =3 2x -3ÿ =-8 B. x tay +2 =-2 X tdy +Z=-2 -2メ-39-2 = dx +4y tQz==4 ミ9

A: As per the company rule, we are supposed to solve the first three subparts of a multi-parts problem....

Q: 10x + 5y-4z + 2w 6 X + y + 4z - 3w = 2 6x + y - 8z + 5w 1 2x + 2y + 8z-w = 3 W %3D

A: Gauss-Jordan Method: In this method first we write the augmented matrix of the linear system of equa...

Q: ( optional). Let f be continuous on [a, b] and differentiable in (a, 6). Show that if lim f'6) = A, ...

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Q: 8. (i) For what type of square matrices A will the algebraic system Ax = 2x have solutions other tha...

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Q: 13. A supplier for the electronics industry manufactures keyboards and screens for graphing calculat...

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Q: Solve the ifferential equation using Ace Laplace transforms- y"-2s'+9 = 6 xe*

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Q: Summarized on the right is the number of visitors (in millions) of the top five websites in 2015. Us...

A: First we find total number of visitors and then we divide D by the this sum. 

Q: Find the present value of an annuity-immediate which pays 1 at the end of each half-year for five ye...

A: solution:   Given : An annuity-immediate which pays 1 at the end of each half-year for five years, i...

Q: A plane flying horizontally at an altitude of 1 mile and a speed of 480 mi/h passes directly over. h...

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Q: Apply the Divergence Test, if applicable, to the series In 2n+5 n=1 Apply the integral test to the s...

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Q: 6. Rewrite the integral ? v4-z2 f (x,y, z)dydzdx equivalent iterated integral in the order dzdydx. a...

A: Order of change of triple integrals

Q: 2. Using the identity [1 2 1 [2 0 –1 1 2 -6 5 - -4 3 compute -6 5 [1 1 Hint: 2 -1 I2 1 2 -1

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Q: Estimate the values of y(0.2) and y(0.4) for the following DE, using Improved Euler's Method, rounde...

A: we know the modified or improved Euler's method is             y1=y0+12k1+k2 where k1=hfx0,y0 and k2...

Q: An employee group requires 6 people be chosen for a committee from a group of 16 employees. The empl...

A: Given that Number if people in the Human Resources=5 The committee requires that exactly 2 people fr...

Q: 5. If a researcher rejects a true null hypothesis, she has made a error. А. Туре I В. Туре II C. big...

A: For the solution follow the next step.

Q: Find the coordinate vector of v (2, - 1, 3) with respect to S = {v,, v, v} where v, = (1, 0, 0), v, ...

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

Q: Situation 1: Define the total differentiation of a function of two variables. Situation 2: Describe ...

A: We have to define the total differentiation.

Q: Find the determinant of the matrix |1 -2 0 0 4 3 5 0 0 2 7 5 0 2 4

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Q: 1. Determine whether the following sequences converge or diverge. If the sequence diverges, state wh...

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Q: Solve the system of equations below by Jacobi method: Use "manual" calculations for the first and se...

A: For the solution of the problem follow the next steps.

Q: A. Find the equations of the xy, xz, and yz traces of the function z = 4 - 2x² - 3y?. The xy-trace i...

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Q: both a) b) c) & d)

A: Given Consider the plane, χ in ℝ3 given by the vector equation xs,t =1, -1, 2+s1, 0, 1+t1, -1, 0,  s...

Q: Find the volume of the solid formed when the area of the region bounded by the curves x2- 3y=8 and x...

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Q: A light shines from the top of a pole 40 ft high. A ball is dropped from the same height from a poin...

A: INTRODUCTION: In layman's terms, the derivative of a function f(x) represents its rate of change and...

Q: #12 only

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Q: 1?+3 v (1) =: 4/ 5t +8 5<t< I5 Where t is in seconds and v is in m/s. Using Simpson 1/3 Rule using h...

A: Here the given function is                                     vt=t2+3;     1≤t≤545t+8 ;   5&lt;t≤15...

Q: 3.3 hy grephing Solve A. Minimize C =10x +15y s,t. X+y 3x ry Zld ー2x +3y 23 x20, y 20 B. Maximize P=...

A: We have to solve the problems by graphing.

Q: (c) Solve the difference equation Yt+2 – 4YŁ+1 + 4Y; = 2(2*) + t² - Given initial values Y, = 2 and ...

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Q: 12. Evaluate the given integral using a change of variables of your choice. Sketch the original regi...

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Q: Suppose the desired output is 100,000 copies per day, and cycle time is 30seconds. assuming the busi...

A: The desired output is 100,000 copies per day, and cycle time is 30 seconds. Since the business opera...

Q: 12. Evaluate the given integral using a change of variables of your choice. Sketch the original regi...

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Q: Find a so the function u(x, y) = e2" cos 2ay + a²x – y + 15 is harmonic. Then, find the complete fun...

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Q: 2. X + 5y + 15 z + 35 w + 70t = 0 X + y + 2 + w + t = 1 X + 2y + 3z + 4w + 5t = 0 2x + 6y + 12z + 20...

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Q: X+x-5 Find lim 1-2x-x'

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Q: Find the exact area of the surface obtained by rotating the curve y =x2, 3 0<x<12, about the y-axis....

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Q: Apply Lagrange's formula inversely to obtain a root of the equation f(x) = U, given that f (30) = - ...

A: given f(30) =  -30 . f(34) = -13 , f(38) = 3 , and f(42)  = 18 here x0 =30 ,x1 = 34 ,x2= 38 ,x3 = 42...

Q: #12 only

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Q: In an experiment 5 out 5 mutant mice developed cancer, and 1 out of 4 wild type mice developed cance...

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Q: 3. A laser printer uses a laser beam to print copy rapidly for a computer. The laser is positioned b...

A: Given : The transfer function of the system =G(s)=4(s+50)s2+30s+200 To find the unit step response o...