Prove that Σan σ(d) φ (n/d) nτ (n) and ΣIn τ(α)φ(n/d) σ(n). ||

Q: A bicycle's gear ratio is the number of times the freewheel turns for every one turn of the…

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Q: Find the splitting field of x4 + x2 + 1 over Q also find its degree over Q.

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Q: A lease valued at $22,000 requires payments of $1,629 at the beginning of every three months. If…

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Q: consider a Ctosed Kectangutar box with a If base side is measured with evror at 2% and khe height is…

A: To find the percentage error in surface area and volume of the rectangular box .

Q: (6) If u, = x-Pa(x)Pn-1(x) dx, show that nu, + (n – 1)u,-1 = 2, | and hence evaluate u.

A: To get the desired result first we will the recurrence formula for pn(x). Then after simplification…

Q: 2. Solve for the linear system 2x + y + z = 2 y + z +w = 2 x + y-z = 0 x + 2z – w = 1

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Q: 6. Find the unit vectors that are parallel to the tangent line to the curve 2x3 at the point (2,…

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Q: Integrate both sides dy = -dx

A: the given integral equation is                             ∫1y2dy=∫1xdx

Q: Sumi Kato's savings account has a balance of $1292. After 12 years what will the amount of interest…

A: Compound interest formula

Q: 3. Sketch the region R bounded by y = the x – axis and x = 1. Find the volume of the solid formed by…

A: This is a problem of the volume of rotation.

Q: ) Find the antiderivative of each function. (a) f(x) = 4/2_1 (b) g(x) = 3e + sec? (c) h(x) = 8 sin x…

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Q: 3. Find the component form of v given its magnitude and angle e with the positive x-axis: V = 8, e =…

A: Given, |V|= 8, θ= 150° We have to find component form of v Where V = V1 i + V2 j = < V1 , V2 >

Q: Determine whether the relation ? on the set of all people is reflexive, symmetric,  antisymmetric,…

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Q: 1 or what value of x does the function f(x) ==x 4x attain the absolute minimum |- a the interval…

A: In this question, the concept of maxima and minima is applied. Absolute Minima and Absolute Maxima…

Q: A lease valued at $22,000 requires payments of $1,629 at the beginning of every three months. If…

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Q: 1. Solve the following linear systems using Cramer's Rule and Gauss Elimination Method. 0.5x + 3.5y…

A: Since you have posted a multiple question according to guildlines I will solve first question{Q(i)}…

Q: Repeated values of a linear transformation Let T : R' → R° be a linear transformation given by T (v)…

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Q: A student wants to earn a C for a class. To get this grade, the average of his six test scores must…

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Q: Find the (a) true error and (b) relative error of the following: The derivative of f(x) = ln x at x…

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Q: Find the length of the following curve at the given distance. Rie). cos'e ?a sin? t } Cos t i 2

A: Given curve is R→t=cos3ti^+sin3tj^ where 0≤t≤π2. We have to find the length of the given curve at…

Q: ,for x 1 -X- Discuss the contuniuty of f andf'.

A: We have to discuss the continuity of f and f'

Q: Find 23 + 8i (а) lim z-2i z2 + 4

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

Q: The sum of the series CO Tn+1 (-1)" 32n+1(2n)! n=0 cos B) cos (). C) cos (E) A) CoS 3 - TC 3 COS D)…

A: cosx=1-x22!+x44!-...   (i)∑n=0∞-1nπn+132n+12n!=π3-π2332!+π3354!-...=π31-π322!+π344!-...using…

Q: B) Find the unique polynomial P(x) of degree 2 or less such that P(1) = 1, P(3) = 27, P(4) = 64…

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Q: me given graph. Select all that apply. 100 80

A: 1. The horizontal axis is spaced equally at distance of 4 units Therefore horizontal axes scale is…

Q: Use Mathematical Induction to show that 512|8 · 5" + 6 · 32n – 80n – 14 for all n E N.

A: We have to show that 512|8⋅5n+6⋅32n−80n−14 by using principal of mathematical induction. Let…

Q: Howin If Z=RCxy) and u=xayg V=x-y show that 3

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Q: 2. For the given quadratic function f (x) = x² + 4x + 4,find a. Vertex 10 b. Vertex Form 8- с. Ахis…

A: To find- For the given quadratic function fx = x2 + 4x + 4, find Vertex Vertex Form Axis…

Q: You have a choice of two accounts in which to invest your money for one year. Account A pays 3.6%…

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Q: se a Caesar cipher with a shift of 5 right to encrypt the following message: Meet me in Alabama.…

A: Given massage is: Meet me in Alabama

Q: H.W: find value of matrix A eigen -2 A = 2. 2. 3.

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Q: Suppose f has the following contour map. C-12 C40 Let P be a point on the level curvec = 12. In what…

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Q: Q1/ Using newton's backward difference fomula find the approximate value of y(-1/3) when y(-0.75) =…

A: We can solve this using newton backward difference formula

Q: 1-2Z 212-1)(2-3) 21=2 Lined the resdue

A: We have to evaluate the given integration.

Q: Identify any misrepresentation issues in the given graph, Select all that apply.. 100 80 60 40 20 0…

A: To identify the misrepresentation .

Q: Decrypt the letters UXCXIT if it was encrypted using an alphabetic Caesar shift cipher with shift 15…

A: Given letters are UXCXIT

Q: 2. Find Inverse Laplace transform for the following functions: s2 + 3 b) F(s) (s + 2)²(2s² – s – 1)

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Q: 7. Find the general solution to the differential equation 2xy x² – y² Simplify your final answer, so…

A: We have given a differential equation ,  y' = 2xyx2 - y2 Plug , y = vx ⇒ dydx = v + xdvdx Thus ,…

Q: Indicate all integer solutions, congruent to 7, of the equation 2" = y. What if we replace 7 and 2…

A: Solution :       2x = y (mod 7)     Now if x = 0,then 20 = 1 = y (mod 7)     So, (0,1) is one…

Q: A manufacturer can produce at most 100 units of a certain product each year. The demand equetion for…

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Q: The directional derivative of f =x*yz + y*xz + z*xy in the direction of a = [2,-1,2] at the point…

A: The given function is f=x4yz+y4xz+z4xy. We need to find the directional derivative of f in the…

Q: Apply the following transform to the point (1,-1, 2). Find the coordinates of the transformed point.…

A: Given: Let us consider the given matrix is, A=120-10-121-21-13-1011

Q: Find the eutre me points of the Following Function. Fleugy)orn'. 12 ay+8y

A: Given function is fx,y=x3−12xy+8y3. We have to find the extreme points of the given function.…

Q: 11. According the table below, find the values of A and B. Year Passche index Inflation Rate 2009 98…

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Q: use Euter me thed to solve y's 2-24

A: Let us consider the given function y'=f(x,y), y(x0)=y0 Solving using the Euler method  Then the…

Q: QUESTION 6 Find the volume of the solid generated by revolving the region bounded by the given lines…

A: The given curves are y=9x and y=-x+10.

Q: 4. Determine if the vectors are orthogonal, in the same direction, or neither. Briefly explain your…

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Q: 4. The area of the region between the curve y=x* and the line y%3D4 is divided into equal partitions…

A: Given curves are y=x2 and y=4.Also given that y=c divided into equal parts of the area.

Q: considek aClosed rectangutar box with a How.4 squar bare If base side ir measured with error at 2%…

A: To find the error percentage while calculating the surface area and volume of a rectangular box .

Q: Without proving anything, determine if the following statements are true or false. For any false…

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