Show that if a1,: a2., an are integers that are not all 0 and c is a positive integers, then (ca,.ca2,..., can) = c(a1a2, ...a„).

Q: Identify whether each of the following is a polynomial function. Justify your answers. a) h(x) 2- Vi...

A: We have to choose polynomial function for given function.

Q: = 0,0 < x < a,0 < y < b dy dx² и(0, у) 3D 0, и(а, у) 3D 0,0 <у <b u(x, 0) = 1, u(x, b) = x, 0 < x < ...

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Q: 6. Which of the following is NOT a walk from A to D? Ao F Figure 1 A) AEFEBCD B) ABCD C) AFEBCD D) A...

A: A walk is a sequence of vertices and edges of a graph that is if we traverse a graph then we get a w...

Q: 1. Determine the amount of medication that is in Aldi's bloodstream after Haidar gives him each of t...

A: Since there are multiple questions, we will solve the first question post the question again, and me...

Q: Find the surface area of the following figure. Round your answer to the nearest tenth. 14.2 m 11 m 1...

A: Clearly, the given figure is a pyramid.And we know that the surface area of a pyramid is: S=B+12P·l ...

Q: 2y + 5z - 3w = 16 2x + 3y + 3z + 4w = 110 2x + 5y -3z + 4w = 74 -x+ 4y + 5z - 2w = 30

A: We will reduce the system in echelon form by using row operations.

Q: Below is a slope field for which of the following differential equations? dy A. В. dr dy С. dr dy D....

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If yo...

Q: If L is a line in 2-space or 3-space that passes through the points A and B, then the distance from ...

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Q: Solve question 35  indetail

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Q: dx = In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-x+1) (A +- B V3 + 3 -1 D -1s -is -is

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Q: If HiK ae nodmal subgraupsofthe graiufG Suchthat G=HOK.thanG ~H amed o 2.

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Q: (1) Use the divergence theorem to evaluate F.S, where F (z, y, 2) = 2zi – ej+4zk and S is the surfac...

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Q: 1 Problem 2. For a nonsingular matrix A and nonzero scalar ß, show that (BA)- =A-. Problem 3. Prove ...

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Q: Find the solution to the following initial value problem by finding the general solution to the diff...

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Q: Example-Approximate Error For f(x) = 7e05 at x=2 find the following, a) f'(2) using h=0.3 b) f'(2) u...

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Q: SHOW THE SOLUTION: Solve using S Mdx(y = constant) + S N(the term not contained x)dy = A 2.) (8y – x...

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Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: 21. If f(x) = 2x - 1 an d gx) = 3x + 5, what is f(g(5))? 22. Graph the following equation. 4х - Зу -...

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Q: The antiderivative of f(x), denoted by F(x), exhibits an odd symmetry i.e., it satisfies the propert...

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Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³) (x Tan-!x +1)

A: first integrate ∫dx(x+x3)(xtan-1x+1)

Q: Solve the following system of homogeneous linear differential equations. Show your detailed solution...

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Q: 5. Solve the following equation for x. (4x+ 18) = 3x +4 6. If f(x) = x? - 1 and gx) - 3x + 10, what ...

A: 5.  12  ( 4x + 18 ) = 3x + 4⇒ 4x + 18 = 6x + 8 ⇒ 2x = 10⇒ x = 5

Q: E Quation: 13-0.2x+0.0015x2 Compare C'(400) with the cost of manufacturing the 401st yard of fabric....

A: We will calculate C'(x) from the given equation and then compare it with C(401)-C(400)  

Q: Exercise 2. Let f: (1, 00) → R and g : (0, 1) → R be such that g(x) = f(1/x). Prove that lim f(x) = ...

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Q: dx = In(F(x))+C. What is F (/3) if C=0? For (x+x³) (xtan='(x) + 1) A 3 B D) 3 -15

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Q: Find the critical points, absolute maximum, and absolute minimum values of the function f(x, y) = 27...

A: We have to find the critical points of fx,y=27-x2-y2+6y on the parabola bounded by the domain D=x,y∈...

Q: (1+2i)² (3–5i)-i? + (3+17i) Evaluate, 5.

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Q: 3. + ¿322 Simplify, i2016 + ¿2017 4. Evaluate, ¿15 (2+ i) (-i**) 3+i13

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Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and  ∂z∂...

Q: A continuous random variable X has distribution D on the real numbers R with distribution function F...

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Q: Solve the linear system using Gaussian Elimination with Back Substitution 3a + 2b + 3c + 4d = 55 2a ...

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Q: Vn an = 1 – n!

A: This is a problem of sequence.

Q: Let L(R") be the set of linear transformations T : R" →→ R² with the metric ||T – ||. Recall from Li...

A: We need to prove that for, T∈GLn and r=T-1-1, the r-neighborhood of T in L(ℝn) is contained in GLn. ...

Q: ln (ale) secx (2– sec²x)em sec(3A – x) What should be the value of A for dr to be integrable using t...

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Q: Question 5 eln (a/e) sec?x - sec²x)° sec(3A – x) What should be the value of A for -dx 'du? ? to be ...

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Q: FIND THE ARG(Z) 0F THE FOUOWING compLEX NUMBERS

A: Solution

Q: Use the method of reduction of order to find a second solution to t'y" + 2ty' – 2y = 0, t>0 Given y1...

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Q: Problem 6. Show that if AB = AC and A is nonsingular, then the cancellation law holds; that is, B = ...

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Q: What will it cost to carpet a rectangular floor measuring 9 feet by 21 feet if the carpet costs $18 ...

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Q: Find a general solution to the differential equation (implicit if necessary, explicit if dy possible...

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Q: The following table shows the amount spent by four U.S. airines to fly one available seat 1 mile in ...

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Q: The antiderivative of fx), denoted by Fx), exhibits an odd symmetry i.e., it satisfies the property ...

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Q: Make an original question with full solution regarding area of a circle. Please include a graph and ...

A: We will find the area of circle of radius r. We know that standard equation of circle of radius r an...

Q: $500,000 that he would like to invest in a savings account earning 3.15% compunding daily over a 25 ...

A: Given Principal amount = $500,000 Interest rate = 3.15% compounding daily time = 25 years

Q: 1 n > 3. Let an = nvlnn (a) Show that the sequence {a,} is decreasing. n=3 (b) Without computing any...

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Q: veetor fields, fnd its divegence, cuul oud gradient field. gradient vester field is always 2eo (f Fo...

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Q: Determine if the given set of vectors is linearly independent. B = {|1 2 }

A: We have given vectors ,  v1→ = 210 , v2→ = 010 , v3→ = -120 We need to show that Given vectors are l...

Q: Find the truncation error of the following Maclaurin series given that it is truncated into 3 terms:...

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Q: 1- Solve the set of simultaneous equations below: a- 2x-4y=-24 9x-3y=-3 b- 2x+3y=27 6x+9y=81

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Q: - sec?x)emG/e sec³x dr e In (a le) What should be the value of A for to be integrable using the form...

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