Find a, b and e so that the quadrature formula has the highest degree of precision f(x)dx = af(0) + bf (2) + cf(4) D.

Q: Solve 4 z(0) = – 2, y(0) = 26 %3D %3D 97 14

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Q: f(x) = π-x,-π<X<π

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Q: 2. (10 points) Find the left and right cosets of ((12)) in S3.

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Q: Consider the function f : R? + R defined by f(r1, r2) = log(e*1 + e*2). Is f convex or concave ? Eit...

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Q: 1Uedxix EN, n<15},A = Sreix is even'} Bz{M:n is the multipk of 37 , then a AOB Chow the reladion of ...

A: Given: Universal set U=x:x∈ℕ, x&lt;15 and subset A=x:x is even, B=x: x is a multiple of 3.

Q: 1. If A and B are sets and A∪ B= A ∩ B, then  2. The number of elements in the Power set P(S) of th...

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Q: Prove that log46 is irrational

A: We have to show that log46 is irrational. We are going to prove this by using contradiction method. ...

Q: 3x5*-27x5* Valve of x-X 20 AnwilSöry wondt gine you

A: Given that 32x+1×5x−1=27x×52x To find the value of 15x and x.

Q: he number of chickens and goats in a field totals 40. The total number of legs among them is 102. As...

A: Given: Total chickens and goats in field =40 Total legs = 102 Solution: Now let us assume, Number of...

Q: THEOREM 23. Let K be an integral operator on L,([a, b], a) Kf = | K(x, y)f(y) da(y) %3D where | |K(x...

A: Given that K is an integral operator on L2a, b, α, Kf=∫abKx, yfydαy With the condition that,  ∫ab∫ab...

Q: The Borel o-algebra on Ris generated by any of the following collections of intervals 4. {[a, 0) : a...

A: We will use the basic knowledge of set theory to answer this question. We will solve the first two s...

Q: Find the complete or particular solution of the following diffi- rential equations:

A: To find  The complete solution of the given differential equation. 

Q: (x+3)7 4n

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Q: Suppose F 2.xz + 3y²) ay + (4yz²) az. (a) Calculate fLL F dS, where S is the shaded surface in Figur...

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Q: Find the least common denominator 1/2 and 3/4?

A: Introduction: The common multiple of an integer are the set of all those numbers divisible by that n...

Q: 2.1. Prove that B Is erse of A -17 11] -7,B: 0 3 2 [1 1 2 2 4 -3 [3 6 -5] 2 A = -1 11

A: To prove that B is the inverse of A. 

Q: Let f(x) = a and g(x) = 5(r- 2), for r E R. The graph of g can be obtained from the graph of f using...

A: given function fx=x3 , gx=5x-23 , x∈ℝ a) give a full geometric description of each of the two tranfo...

Q: CP 12 The sketch shows the graph of y = Jx-1. %3D -1 li) Differentiate y = Vx – 1. (ii) Find the coo...

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Q: Show that |Re(z)| + |Im(z)| ≤ √ 2|z| for any z ∈ C

A: We will use the basic knowledge of the complex number system to answer this question. 

Q: B. In the diagram, d Il e. Determine whether each pair of angles are corresponding, vertical, altern...

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Q: Find a particular solution to the differential equation 2y" – ly – ly = -2r² + lt – 5e²". |

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Q: Problem 2. Find all triples of integers (x, y, z) that satisfy r² + 2y? = z2.

A: (x,y,z)=(k|b2−2a2|,k(2ab),k(b2+2a2)),a,b,k∈Z+

Q: 1_dx 2 V x² + 1

A: Solution:-

Q: Three points have coordinates A(2,6), B(8,10) and C(6,0). the perpendicular bisector of AB meets the...

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

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Q: Show that the statement (V P(x)) V (Vx Q(x)) → Vx (P(x) V Q(x)) is a tautology. Show that its conver...

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Q: Find the the domain, vertical, and horizontal asymptotes of the function: 2+Vx Y= 2-Vx

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Q: 2. The probability that a rifleman hitting the target is 40%. Suppose he fires 8 times, what is the ...

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Q: 4. Describe the domain of the function f(x, y)= In(6+ x-y). {(x, y): y<x-6} {(x, y): y 2 0} {(x, y):...

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Q: 1. A primitive Pythagorean triple is an ordered tripe of integers (x, y, z) such that x² + y? = z?, ...

A: Here are the two solution given below.

Q: Show that : %3D tan 0 tan (0 + 60°) + tan 0 tan (0- 60°) + tan (0 + 60°) tan (0 – 60°) = – 3.

A: Solution is given: Hope the answer is helpful.

Q: The instructions for the given integral have two parts, one for the trapezoidal rule and one for Sim...

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Q: Which of the following correspondences does NOT show a function? C. one-to-many D. none of the above...

A: Concept: Example of one to one function: Example of many to one function:

Q: Q2. Find the Fourier series for the function f(x) = [x – x² for – n < x < a]

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Q: QUESTION 25 Given the first and second derivatives of a utility function, f(x), for a decision maker...

A: According to the given function f'(x) and f"(x) and given the condition x is greater than zero we ca...

Q: The vector A (red) has length 8, and makes an angle of 37/19 with the x-axis. 10 The vector B (blue)...

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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: 3z2+z+1 Q4. (a) Evaluate using Cauchy's integral formula Sc (z2–1)(z+3) dz where C is the circle |z|...

A: The given problem is to evaluate the given complex integral over the given region using cauchy integ...

Q: 4. Replace the force system on the post by a resultant force, and specify where its line of action i...

A: Given that Force (F1 ) =250N F2=500N We have to find Replace the force system on the post by a resul...

Q: Let S denote the sum of the terms of an infinite G.P.and o denote the sum of the terms.show that the...

A: A sequence of the form a, ar, ar2,..., arn-1,..., where r≠0 is defined as the common ratio and a≠0 i...

Q: A direction field of the differential equation y= y – e² is given as follows: Select one: O True O F...

A: The direction filed given if FALSE

Q: images are attached below.

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want ...

Q: (a) If we have a bag of 14 pairs of socks, how many socks do we need to draw to ensure we get a matc...

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Q: Part II Answer all questions in this part. Clearly indicate the necessary steps and explain your rea...

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Q: Find the period, midline (ie vertical shift), and sketch the graph for y= 2tan(x/2 )−1 Draw at leas...

A: Given: y= 2tanx2−1 To find: Period, midline (vertical shift) and sketch the graph for given function...

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: Show Hhat the series Canverges to 1 Kei (K+)!

A: Introduction: The ratio test is one of the basic tests to verify the convergence of a given series. ...

Q: You plan to save money for a down payment of $36,000 to purchase an apartment. You can only afford t...

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Q: Prove that gcd(a + b, a - b) = gcd(2a, a – b) = gcd(a + b, 2b). Show your work! Justify each step.

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Q: Find the solution of the following Differential Equations 2) y' =-xy

A: Since you have posted a multiple question according to guildlines I will solve first  question for ...