Prove lim(Vn+1- n)=c 8. 0 =

Q: Find the unit vectors that are perpendicular to U = and V =,

A: Given the vectors U→=2, 3, 4 and  V→=-1, 3, -5 We will find the unit vectors that are perpendicular…

Q: Find the indicated powers of the given complex number. Express the result in polar form, ther…

A:

Q: Make a comparison between Euclidean and Non-Euclidean Geometry. Present your answer in a table.…

A:

Q: Show that y = x is a solution of the differential equation x^2 y” – (2x + x^2 )y’ + (2 + x)y = 0,…

A: The solution is given as

Q: Evaluate R where R is the region bounded above by the line y = 3, on the right by the circle (x -…

A: We have to evaluate ∬RydA

Q: what are the two square roots ot+ 12i? A - 2+ 3i and -2-31 C- Ja +Jai and -J-Jãi B. 3+ 2i and -3~2i…

A:

Q: 3. Obtain the Power Series solution of the differential equation: y"+x²y =0.

A:

Q: What is the time complexity of the following function: f(n) = 100 - n O o(n?) O O(nlogn) O O(n) O…

A: Here it's given f(n)=100-n which is a linear function.

Q: (2х — 5у + 3)dxх — (2х + 4у — 6)dy %3D 0 - -

A:

Q: Proof by induction that 0+0=0+0   where 0 represent x. x+0=0+x

A:

Q: Fransform the following exp а. 49* = 7 %3D b. 1 6-3 = %3D 216 C. 102 = 100 %3D

A: As per bartleby guidelines we are supported to answer only first three subparts, kindly repost rest.

Q: The figure defines a function f from A={r, s, t, u} into B={a, b, c, d} in the obvious way. Which of…

A:

Q: Express in cylindrical components: (a) the vector from C(3, 2, -7) to D(-1, -4, 2); (b) a unit…

A:

Q: If X is a metric space with induced topology Ƭ, then (X,Ƭ) is Hausdorff. The contrapositive of this…

A: Given : (1) (ℝ, T) with the topology induced by taxicab metric.              (2) (ℝ, T) with the…

Q: AP2) Prove that | sin æ – sin y| < |æ – y| _for all x, y E R. AP3) Prove that f(x) = |x|x(1-x) is…

A: (2)  We need to prove that , sin x - sin y ≤ x - y       ,  ∀ x , y ∈ ℝ Consider , fx = sin x We…

Q: a. f(0) = f(3) = 0 b. f(1) = -2 c. f'(-1) = f'(0) = f'(1) = 0 d. f'(x) 0 on -8 <x< -글and<x<2 g. lim…

A: Given: a. f(0)=f(3)=0 b. f(1)=-2 c. f'(-1)=f'(0)=f'(1)=0 d. f'(x)&lt;0 for -∞&lt;x&lt;-1 and…

Q: Explain why S is not a basis for P2. S = {1 - x, 1 - x², -1 – 4x + 5x2} O sis linearly dependent. O…

A:

Q: Find the distance between the skew lines: x = 5 + 8t, y = 1+ 6t, х— 2 — t, z = 4 – 9t z = 4+ 8t y =…

A:

Q: Identify the extrema (both minimum and maximum) of the given graphs below. If there is no extrema,…

A: We need to identify extremum in all the given graphs. As per policy, we are solving only the first…

Q: Given we Kow Polo) = 1 ParE) = e df Pice) = cde'e-dt %3D what is the differential eguation to e…

A: We are given the following.               P0(0)=1P0(t)=e-λtP1(t)=λt1e-λt That is,…

Q: -2 -1 -2 -4 4 -6 -5 -4 -4 Answer / compute the following. 7 7 -7 -5 -6 -9 6. Let M = 10 10 -13 10 -4…

A:

Q: 9.

A:

Q: What two months would the price land on the slanted midline?

A: Here is the actual graph of the price and the midline.

Q: The law of transportation for a covariant vector is transitive.

A:

Q: Find the Laplace transform, F(s) of the function f(t) = cos(6t), t > 0. F(s) = | Evaluating the…

A:

Q: r = 4 sin 0

A:

Q: (c) Determine the equation of the tangent plane to the given function at a given point. (i) f(r,y) =…

A: (c) (i) To find the equation of the tangent plane to the function given below  fx,y=3cosxsiny at the…

Q: What is the differential equation of the solution y = C1e 9¤ + C2xe Ya -9x + C3e7¤ ? O y" + 11y" –…

A: To find the differential equation for which the given solution belong .

Q: 8. Let f: E\ {0} E\ (0} be the inversion with respect to the circle S' (of radius I with centre at…

A: let f:E20→E20 be the inversion with respect to the circle S1 let C be the circle of radius 2 with…

Q: for 0 <x < 4, 4 - x Let f(x) = {0 for 4 < x < 5. Compute the Fourier cosine coefficients for f(x).…

A:

Q: Г16 If n is a positive integer, then 4 36 is -16 [16 (Hint: Diagonalize the matrix 4 36 first. Note…

A:

Q: 8. Determine the angle between the two vectors. a) Ã = and B = b) Ả = -2î + 3 + 5k and B = î + 2j…

A:

Q: 4. A particle of charge q = moves in velocity i = (2 + m)î – (5 + m)f – 4k in magnetic field B = (7+…

A:

Q: 2) B&G Jewellers is having a special sale. All ladies jewelry is 35% off. What is the discount on a…

A:

Q: Use First Isomorphism Theorem to prove that R/Z S'.

A:

Q: Vx* +5x' +3 dx x' +2x? +4

A: Comparison test for converges

Q: The temperature at the point (x, y) on a metal plate is given by T (x, y) = y/(x2 + y2 ). Find the…

A:

Q: x R y in R if | x |=||

A: we have to find the relation R where R is defined by x R y in ℝ if x=y, equivalent or not.

Q: 9. Use Euler's Theorem to show that 3 (26) = 1 (mod 26). Show your work or explain your reasoning…

A: Since you have asked multiple questions, we will solve only question number 9 for you. If you want…

Q: what is the lateral edge opf acube with a surface area of 294

A: Given the surface area of a cube is 294 . To find the lateral edge of a cube .

Q: Find the Laplace transform, F(s) of the function f(t) = et, t > 0. F(8) = | Evaluating the integral…

A:

Q: Directions: Illustrate the rejection region given the critical value and identify if the t-values…

A: Illustrate the rejection region given the critical value and identify if the t-values lie in the…

Q: Find the indicated powers of the given complex number. Express the result in polar form, then…

A:

Q: -3 -10 1.5 -2 18.5 ミ= ÿ = -5 -9 7 Use the Gram-Schmidt process to determine an orthonormal basis for…

A: Given vectors are x→=−3−1−40, y→=−10−2−51 and z→=1.518.5−97. We have to find an orthonormal basis…

Q: Write each vector as a linear combination of the vectors in S. (If not possible, enter IMPOSSIBLE.)…

A: Given : The given set is  S = {(2, -1, 3) , (5, 0, 4)}. To find : We have to write the following…

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

A: Given- If L is a line in 2-space or 3-space that passes through the points A and B, then the…

Q: 3. Set up (do NOT evaluate) the iterated double integral equal to the surface area of the portion of…

A: Surface area in xy-plane

Q: Use the vector form v=v​[(cosθ​)i+​(sinθ​)j​] to solve the following problem. A ship sails…

A:

Q: Calculate the Taylor polynomials T2 and T3 centered at a = 0 for the function f(x) = 14 tan(x). (Use…

A: The given function is fx=14 tanx. Now we have to find the 2nd degree and 3rd degree Taylor's…

Q: f(x) = e2* if x> 0 Q5. The Fourier transform of the function: 0 if x<0]

A: We have given a function ,  fx = e-2x , x &gt; 00        ,x &lt; 0 We need to find Fourier transform…