Odic function. Compute the Fourier series of f: Pn sin(nt) = cos(nt) + sin(nt).

Q: 10 a) How many students' names letters long? 6. The graph below represents the length of surveyed…

A: Given graph represents the length of surveyed students last name. Here y-axis represents frequency…

Q: Find the value of e x using series expansion e x = 1 + x + x 2 2! + x 3 3! + · · · for x = 0.5 with…

A: Given that: ex=1+x+x22!+x33!+... We have to find n for which : e0.5-Pn0.5=Rn+10.5<0.005 Now,…

Q: Jacob throws a ball upwards from a 4m high bridge. The height of the ball, h, in meters, after f…

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Q: Differentiate R (t) = (sint, te, cos 2t).

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Q: 2. Recall that in class we proved the following theorem: Theorem. Let T: VW be a linear…

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Q: ∫∫ 3x-y/x-3y dA D where D is the closed region bonded by the lines 3x-y=0, 3x-y=4, x-3y=1, and…

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Q: t Evaluate [²(te² ² + ² + ₁ ² + √²=TE) 1 3 Ik dt. i

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Q: Find the general formula for the recursive sequence below. an = an-1 + 5, ao = an = - 3

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Q: Nine more than half the number n is no more than -8 . Find n.

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Q: If ||2x - y < 2 and ly| < 1, prove that | x-yll2-x.x < 2. If n = 3, x 3. yll

A: Given: 2x-y&lt;2 y&lt;1 To Prove: x-y2-x·x&lt;2

Q: Example: If)=e* dx, how small does n have to be to guarantee that (f)-T,(f) <10-³?

A: If=∫01ex-2dx If-Tnf≤10-3

Q: 4. State the dominated convergence theorem and use it to find the limit when n→ ∞ of the following…

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Q: y"_y² = 2y = cosx 24

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Q: Find the domain of the vector-valued function t R(t) = tan-¹t² + —_— 3 + sin t² k. 1-1²

A: Given the vector valued function R(t)=tan-1t i^+t1-t2j^+sin t2k^. We have to find the domain of…

Q: A person wants to establish an annuity for retirement. He wants to make monthly deposits for 35…

A: a) We have to find the how much will have to be in the account at the time he retires.    (b) We…

Q: Minimize c = x+y+z+w x + y X C = (x, y, z, w) w) - () + z x + y - w≤ 20 y + z-ws≤ 20 x ≥ 0, y ≥ 0, z…

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Q: Solve the given initial value problem using the method of Laplace transforms: y" − 3y' +2y=e4;…

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Q: 1) Consider the function C(x) = cos(t²)dt a) Find the derivative of C(x). b) On what intervals is…

A: A function Cx=∫0xcosπt22dx. To Find: a) Derivative of C(x). b) On what intervals is the function C…

Q: 3. Suppose we have a linear transformation T that is invertible. Let A be the standard matrix for T.…

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Q: ) Practice using Algorithm 8.3.12 by working through the Fibonacci sequence to find a closed…

A: The fibonacci sequence is defined as F(n)=F(n-1)+F(n-2) , n&gt;1 , F(0)=0 , F(1)=1 .  That is  the…

Q: The figure shows a contour graph for a function fin blue with a constraint function g = c in black.…

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Q: Find the volume of the solid that lies within the sphere x^2+y^2+z^2=4, about the xy-plane, and…

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Q: Given M = - E sin , solve for using the methods listed. a.) False Position Method (E = 0.12, M =…

A: Given that  M=ϕ-EsinϕF(x)=ϕ-Esinϕ-M=F(ϕ) We need to find the root of above equation by (a) False…

Q: Determine whether ^- [¦ ¦ ¯1]- » - [8]), ~ - (-¹ ¹ ] b W b is in col(A). b is not in col(A).…

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Q: CHCR) and C= Let B= - 3 of vis [v]B 1 1 [;)] 3 = A [v] 0 M-[2] 3 ⓇM1.- [³] B [v] = 0 0 4-A] -9 Ⓒ…

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Q: Find the surface area of that part of the sphere x² + y² + ² = 81 that lies outside the cylinder x²…

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Q: Use the laws of logic to show that ((s V¬r V¬q) ^ (¬s V r V s) ^ (¬r V¬s V¬q)) = ¬(q ^r).

A: Given statement is  s∨¬r∨¬q∧¬s∨r∨s∧¬r∨¬s∨¬q  -----------(1)     consider  ¬s∨r∨s ≡ ¬s ∨s∨r    (…

Q: Draw a truth table for the compound statement q Vr → [(p^q) v (q^r)].

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Q: T a) Use the residue theory to evaluate the integral ſ de (a+cos 0)²¹ where a > 1.

A: We have to solve the given problem by residue theorem.

Q: Solve the system graphically, and indicate whether each solution region is bounded or unbounded.…

A: The given system of inequalities, x+4y≤413x+y≤354x+5y≥65 We have to graph the solution region.

Q: Q3: A: Find inverse Laplace transform: 2s F(s) = (s²+2)

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Q: 6 7 Let A = -14 -15 Find S, D, and S-¹ such that A = S = 188 SDS-¹. D = [881-1881 0 0

A: A=67-14-15

Q: (c) Find an element h of S10 such that hog (1 8 10 2 7 3 6 4), = and write it in two-line notation.…

A: (c) In one-line notation, g can be written as        g = (1  6  9  3  10  8  7)(4  5)    Then,…

Q: ے /sz+25+5)

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Q: Find a QR factorization of the matrix A. -6-12] 17) A 3 36 0-12 18) A = 0 11 1 10 -1 -11 1-11,

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Q: uation and sketch the graph: 3x 2 b. 0= C. r=2cos0 d. r=2csc0

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Q: For the polynomial function below: (a) List each real zero and its multiplicity. (b) Determine…

A: As f(x)=-9(x^2+9)(x-3)^3 The real series of f are (x-3)^3=0  So x=3,3,3 are real zeroed Henceforth…

Q: Use a change of variables to evaluate the following integral. SS Sxy dv xy dV; D is bounded by the…

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Q: 3. Simplify the following expression involving exponents and logarithms. 3 3 x² - y². y² 1 1 x4-y²

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Q: 6.(2) Please I really need help with this!!     Determine the slope of the tangent to the curve…

A: The given problem is to find the slope of tangent to curve at point whose abscissa is -1. Given…

Q: Find the unit tangent vector T(t) at the point with the given value of the parameter t. r(t) = (t2 −…

A: For given r(t) we have to find unit tangent vector T(t) at t=3.

Q: s(t) = −0.1t3 + 3t2 + 23t   (0 ≤ t ≤ 3) Calculate the motorcycle's average velocity (in ft/sec) over…

A: s(t) = −0.1t3 + 3t2 + 23t (0 ≤ t ≤ 3)

Q: #1 find two other pairs of Polar Cook dingtes of the given Point Cooksinate X70 a) (V₁0) (70 and rco…

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Q: C: Proof that ( a) L (cos²t - sin²t) S s² + 36

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Q: (Derivative of F is F') F'(x)= integral from 0 to x of e^(- t^2) dt. What is F'(1)? A в о e C -2/e D…

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Q: Draw a normal curve with u = 110 and o = 5. a) What percentage is between 110 and 115? b) What…

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Q: Consider the graph given above. Add an edge so the resulting graph has an Euler path (without…

A: Euler path is the path should cover all the edges of the graph exactly once. No edge cover for two…

Q: (vii) If m divides n², then m must divide n.

A: The statement " If m divides n2, then m must divide n " is false.

Q: Use the functions f(x) = 2x + 5 and g(x) = 3x² to calculate each operation and simplify, if…

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Q: Determine which of the following functions are linear transformations. For each function, either…

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