RHS x2 -2 x3 $1 82 -4 -2 -62 1/4 -1/2 0 x3 1 1/4 5/2 1 -1/6 1/3 Write the original problem and its dual.

Q: 17. /x(2- x)° dx 1/3

A: Introduction: Suppose, a function fx is given. We want to determine another function φx such that φ'...

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A: Concept: Various graph of diffrent polynomials is explained below:

Q: uation for varia 4x - y - 11 = 0.

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Q: 2 + J 3 5- j3 Simplity usingg exponeutical

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Q: Prove that for any integer a, 3 divides

A: To prove that for any integer a, 3 divides (a-3)(a+4)(a+2).

Q: 5. prove that S"erf cx) dx =0

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Q: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even.

A: Given: Show that if n is a positive integer, then n is even if and only if 7n + 4 is even  

Q: stion 12 Using the known standard Taylor power series formula, evaluate anx) dx with n=3 nonzero ter...

A: Evaluate the integral integral

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Q: Find the round-off error of the following using 5 significant digits: 1. 1 3 2. tan 150 3. 1 — п 4. ...

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Q: 4. Show whether the given vectors (1,0, 0), (0, 2, 0), (0, 0, 3), and (1, 1, 1) form a basis for R. ...

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Q: 2) Let R be aring. An element a6 R is called a Zero divisor if there exists bER Such that a) a.b=0 a...

A: Introduction: A ring R is an algebraic structure on which two binary operations are imposed. This ar...

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Q: 45. My Exit Ticket Which of the following does not have a solution of x = - 12 +x= - 1 3 3 x = - 3. ...

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Q: facR,af ischiffontiable at xo gisdiffera tible at to anol

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Q: 4. Find the general solution of the following differential equation given that y(1) = 10 [Hint: intr...

A: 4 Given differential equation is x+1dydx+y=lnx...1. We have to find general solution of the given di...

Q: [et Suppose A(t) =0 0. cos t sin t, show that A(t)-1 exists and then find it. - sin t Co t. -

A: Given- At = et000cos tsin t0-sin tcos t To Show- Show that At-1 exists and then find it.

Q: 2. Given the data 0.2 0.4 0.6 f(x) 1.9934 2.1465 2.2129 2.1790 0.8 1.0 1.2 1.4 f(x) 2.0683 1.9448 1....

A: We can solve this by using given data and formula of Central difference

Q: Question 4 Determine the inverse Laplace Transform for the following function (answer should be in t...

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Q: Find the average rate of change of the function from t1 to t2.

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Q: Let T: R? - R? be a linear transformation that sends the vector u = (5, 2) into (2, 1) and maps u = ...

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Q: 123 A = 3 4 5 Given matrix A above, what is At?

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Q: 2. Given the following possible solutions to a differential equation. A. y = 2sin (x) B. y = 2cos (x...

A: Given the differential equation yy'+2sin2x=0We have to find these following solution satisfy differe...

Q: Discount p500 for 2 years at 6% simple interest?

A: The simple interest formula for a principal amount(p) for t years at an interest rate of r% is given...

Q: 1. Without directly using the calculator, compute the zero- through fourth-order approximation of v7...

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Q: *2. (a) If you have successfully solved examples (xix) and (xx) from Problem 1, it should be clear t...

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Q: 11. For the following, (a) Find the characteristic equation of matrix A, (b) Find the eigenvalues of...

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Q: f (x) = { 0 S 1 if x is rational if x is irrational at any point x. (b) f(x) = (sin x)/x at x = 0. (...

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Q: In a bolt factory, machines A, B and C manufacture 25%, 35% and 40% of total outputs, respectively. ...

A: Solution 

Q: If in an AP the sum of m terms is equal to n and the sum of n terms is equal to m .then prove that t...

A: Let us consider the AP a, a+d, a+2d, a+3d,...... The nth term is obtained as  an=a+(n-1)d The sum of...

Q: alyze his ac ds and he fou iddle of the r dy had a servi ed P12,000, be

A: Revenue in the middle of the month = P12,000 Expenses at the end of the month = P20,000 Desired prof...

Q: min zd = 2y, - y2 + 3ya 3y - 2y2 + ya = 1 Y + y2 - 2y3 s 2 -Yı +y2 - 5y3s-1 Y, sin rest. ; yz, Y3 S0...

A: To transform a primal problem into dual problem we follow some rule.  If the primal problem is minim...

Q: Evaluate the Laplace transform of the following: 1. Prove: L{e-at cos kt} = sta (s+a)²+k2 using the ...

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Q: LQ – 9.2 Direction (Slope) Fields • Where are the equilibrium solutions? • Sketch a direction field ...

A: The equilibrium points are the points where f'(x,y) is zero or undefined.  

Q: L{S, t² cos t dt} 7. (1, 0st<4 8. G(t) =}0, 4<t <5 (1, t25

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Q: 4-Vx lim х-16 16х-х2

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Q: The bearing of x from y is 045 and the bearing of z from y is 145 ,where x, y and z are three point ...

A: Rules for solving Bearing and Distances: The reading in bearing is taken from North as per the compa...

Q: Problem 3. First verify that y(x) satisfies the given differential equation. Then determine a value ...

A: Given y(x)=Ce-xWe have to verify that y(x) satisfies the given differential equation y'-y=0 and find...

Q: Translate the following stetements between predicate logic and English. (Hint: Use DeMorgan's laws (...

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Q: Determine a fourth degree polynomial inequality with the following solutions 0.5 3. Please write you...

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Q: Use synthetic division and the Remainder Theorem to find the indicated function value. f(x) = 3x-20x...

A: We will use synthetic division and remainder theorem to answer the given question.

Q: 1. Show whether the given polynomials 1+4x + x², 2+ 5x + 3x2, 3x 5x, and 3+ 15x - 8x spans p,. Justi...

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Q: prove that C+Ã +3-ARC Using the truth table

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Q: On [-27, 47), f(x) ==Y². Find all values of x. Find the x-intercepts of f(x) on [-27,47).

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Q: Determine a fourth degree polynomial inequality with the following solutions 0.5 3. Please write you...

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Q: (t2 –1 if t < 5 (2kt The value of k to make the function f(t) continuous at t-5 is if t 5

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Q: g(x)= 2x+1 and f(x)= x² – x –1. Find the value of (fog)(2). O a. 20 O b. 17 O c. 18 O d. None O e. 1...

A: Please see all the solutions carefully.. They are given below.

Q: Find the round-off error of the following using 5 significant digits: 1 1. 3 2. tan 150 3. 1 — п 4. ...

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Q: Find the Equation of the line that passing in point (3,5) and parallel or perpendicular to the 4x-y-...

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Q: Determine the real root of f (x) = -25 +82x-90x2 + 44x3-8x + 0.7x5 using bisection method, employ in...

A: Given  f(x) = 0.7x5-8x4+44x3-90x2+82x-25