Find the canonical prime factorization of this using Fermat’s Method and solve for the Number of Positive Divisor and Sum of Positive Divisor. c. 10 856

Q: Q14 Suppose that C is the graph of a smooth vector-valued function r(s) parametrized by arc length…

A:

Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

A:

Q: Is there a sequence of continuously differentiable functions: fn : R –→ R such that fn → x and f. →0…

A: Yes, the sequence is given in step 2.

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: 7 c. Color all the multiples of $ (tip: use divisibility rules): ule multires OI5? 4 1s YO coled-in…

A: Observe the numbers in the given pyramid.

Q: Problem (1): Let r, s E Q with s # t2 ·r for all t e Q and let E = Q[/r, Vs]. Prove that Gal(E/Q) =…

A:

Q: Use the formula r = to find the torsion of the following curve at a general point. Ir'(t) x r"(t)|2…

A: Torsion at a point

Q: Problem 3 Galerkin Method. Using the Galerkin Method, solve the following differential equation with…

A: Given the differential equation is d2udx2+x2=0             ....10≤x≤1 Boundary conditions:…

Q: Läte 3 1 act on C. Find the eigenvalues and a basis for each eigenspace in C. Let the matrix -37 5…

A:

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: Given the set of data points {(-3, -1), (-2, 1), (0, 2), (1, 3), (3, 2)}, fit a straight line y = mx…

A:

Q: Find the approximation to the root of the following function f(x) = x² +6 x – 24 using the…

A: The given function is fx=x2+6x-24

Q: ED bisects ZADC, 3 and mZA = 68°. F

A: Given that AB||CD  and AD||BC therefore ABCD is a parallelogram Now opposite angles of a…

Q: The employees of a company were asked how long it took (in minutes) to commute to work. The results…

A:

Q: Q4. Consider the following game A В А (6, 6) (0, 8) в (), 2) (4, 0) (a). Does this game have a Nash…

A: a) If agent 1 chooses strategy A, then agent 2's strategy will be B and if Agent 1 chooses strategy…

Q: ata is summarized by the stem and leaf plot below. Stem Leaf 1000011 22344589999 2 012366778889…

A: 1. 18 appears one time in the data set therefore first statement is false 2. the value 39 appears 4…

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: Problem (1): Let r, s E Q with s t2 .r for all t e Q and let E = Q[VT, VS. Prove that Gal (E/Q) =…

A:

Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

A:

Q: 9. Use the method of undetermined coefficients to solve the given system 4t +9e X' = %3D

A: Given system is X'=1-441X+4t+9e6t-t+e6t      (1) Let           A=1-441 The characteristics equation…

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: 4"Ch'tl find the intervel and radins os converigence Sellowing Power series.

A: Given series is ∑n=0∞nxn4nn2+1. We have to find the radius of convergence and interval of…

Q: 10. Describe each region in the given coordinate (in words) (a) Cylindrical coordinate: 0 < z< 5, 0…

A:

Q: If the matrix A is positive symmetric definite, is BTAB also positive symmetric definite?

A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT   [A is symmetric]

Q: OI tr surface obtained by rotating the curve 1 y = 4 1< x < 2, 3x about the x-axis. b). Consider the…

A: a. Consider the surface y=x34+13x, 1≤x≤2. To find the exact area of the surface when rotated about…

Q: 142 Q2. Let A = Determine a basis for each of the subspaces CS(A"), |3| 316 N(A), CS(A), and N(A").

A:

Q: Find parametric equations for the tangent line to the curve with the given parametric equations at…

A:

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: When you stand in shallow water and look at an object below the surface of the water, the object…

A:

Q: B. Let S be the part of the sphere r +y + z2 = 4 located above the plane z 0, oriented at the point…

A: Flux of a vector valued function can be calculated easily using divergence theorem if S is a closed…

Q: Q1 Let ø(x) = x² for 0 < x < 1. • Calculate its Fourier sine series by odd extension; • Calculate…

A: Solution a) Given that ϕx=x2 for 0≤x≤1. Odd extension of ϕ(x) is  ϕx=x2, 0≤x≤1-x2, -1≤x≤0 Fourier…

Q: Q.3- Prove that: 2n 1 (cos =0 +i sin-) + 10 2cosne eino

A: The given problem is to prove the following complex identity. (cos n/5 θ +i sin 2n/10 θ)+1/einθ =…

Q: Howin IRZ=fcメッ)and u=X-リー

A: Given, if Z=f(x, y),  u=x-y, and v=x2-y2 To prove that              ∂Z∂v=∂Z∂x+∂Z∂y2u

Q: そ-f (xy)

A: Given,  if Z=f(x, y), and u=x-y,  v=x2-y2 To prove that                        ∂Z∂v=∂Z∂x+∂Z∂y2u…

Q: How.y If the directionelderivative Valne ( Duf)of the function f(Xs4) = x-3xy +uy at Paint (-2,0) în…

A: The given function is f(x,y)=x2-3xy+4y3, a directional derivative at (-2,0) in the direction of u=A…

Q: 8. 7, 31, 10 11 12 27' 81 243 an Enter your answer here

A:

Q: Calculate the missing value in the truth table below: and not 0 1 0     1 True False Group of…

A: consider the table  and not 0 1 0     1 true False

Q: 1. Given the points P(5, 3, - 4) and Q(7 - 1, - 3), find the following: a. the vector PO b. PQl

A:

Q: The average value, f, of a function, f, at points of the space region N is defined as

A: Given, the average  value of f¯, of a function f at points of the region Ω is defined as…

Q: Find the following antiderivatives. 49 – 2y dy 49 +1 (a)

A: Introduction: Evaluation of anti derivative is the main aim of indefinite integral. An anti…

Q: s+1) (a) L-1 4s2 +1 (b) L-1 s4 + s] (e) E{/ c{[e cos(r) dr.

A:

Q: initial value pr '(0) = 0 (upto

A:

Q: e two Eigen values of the matrix ve a ratio of 3:1 for p = 2. What is anoth He of n for whioh th e…

A: In this question, the concept of eigenvalue is applied. Eigenvalues Eigenvalues are a unique set of…

Q: 2. (MS) Consider the relation R5 on P({0,1,2,3}) such that (A, B) e Rz if and only if |A| = |B|.…

A: Since you have posted multiple questions and we can answer one question. So, answering the first…

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: 1. Consider the separable differential equation y' = x²y³. a. Plot the slope field of this…

A:

Q: The function f(x)=x tan x has a Taylor series expansion at x =: False True This option This option

A: Given : The given function is,  f(x) = xtanx To find : We have to check whether the given function…

Q: Q2/ Complete the following table to find the values a , b,c and s y A -1 2845 308 3162 S 1 3544 a b…

A: It should be 317 in the place of 308. Because (3162-2845)=317

Q: Q2) for the following Matrix 'A', Please determine the following: A = a. Eigenvalue of A b.…

A:

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

A: