Find the coefficient for x' when a/ V1+x° dx is expressed as a power series. -1 256 -1 64 56 120 120 64 256 56

Q: Use the equation giving the flux of the vector field across the curve to calculate the flux of F(x,…

A: This is a problem of line integral.

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Q: H13. estimate intervals to the approximate the Minimam number of Sub Velue of (ax 4) dx with an…

A: (a) We have fx = 2x2+4 then f'(x) = 4x, and f''(x) = 4 Note: We have second degree function.

Q: Express the following permutation as a product of disjoint cycles. ). 1 2 3 4 5 6 7 8 9 10 11 12 f 2…

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Q: 12. x Ct)= cosh 3t sin 3t te

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Q: 1. If p>9 2 5 and p and q are both primes, prove that 24 p - q.

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Q: Consider and remember that A = (0,4,2) , B = (6,-1,0), C = (3,0,1) 1 1) Determine the unit vector…

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Q: 2. List the amplitude, midline, and period of each of the following functions: (a) 3 cos(T/4 * x) –…

A: We will use standard form of equation  For y= a sin (bx+c) +d           or     y= a cos (bx+c) +d…

Q: Determine if the set S is span set of %3D R2x2. Solution:

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Q: For each n E N= {1,2,3, ..}, define an (A)-cOs (규1). = COS COS n+1 1. Determine whether the sequence…

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Q: 3. Let F(n) = 9F(n – 1) – 24F(n – 2) + 20F(n – 3) with initial conditions F(0) = 1, F(1) = 5 and…

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Q: Suppose that g is a function with the property that gm) (z) < 2 for all values of z and n. Suppose…

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Q: none of these options OR={(0,0), (1, 1), (1, 3), (2, 2), (3, 1), (3, 3), (4, 4) } OR= { (0,0), (1,…

A: Introduction: An equivalence relation is a type of binary relation in mathematics that should be…

Q: Show that the lines L:a =4- t, y = 2t, z =1+t and L2:2 =1+ 21, y = 3 – 4t, z = 5 – 2t are parallel…

A: This is a problem of 3D analytical geometry and application of calculus, vector calculus.

Q: aplace transform of –

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Q: Which of the following is the general solution to the differential equation x + (1 +x)y = 6? dx xy =…

A: The solution is given as

Q: You have $5000 to invest for 1 year.  Fund A has an estimated 4% annual return, and Fund B has an…

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Q: What is the interquartile range of the data set below? 3, 5, 6, 6, 7, 8, 9

A: Interquartile range is given by : Q3 - Q1

Q: What is the chromatic number of the following graph? explain 8. 8. 9. of these options 10

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Q: Relationship y= (ax+bX) - Find the Linearizationof Nonlinear

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Q: Find the solution. y-y = -xyl/2 y =(x+2+ce½,? B y = (x+2-ce/½,? © y = (3r - 2+ ce/½,? = (3x –…

A: The given differential equation is ,       y' - y =  - x y(1/2)  Bernoulli equations :  An equation…

Q: The tanh$ (2x) sech (2x) dx is equal to O A. None of the choices in the list. O B. tanh (2x) +C OC.…

A: Given integral is  ∫tanh52xsech2xdx

Q: 52 Which expressions are equivalent to ? Choose 2 answers: 1 56 1-6 (52) -3 (5°) -8

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Q: 1 =-n(n+1)(2n+1) for n21. 6. c) Prove by induction that 12+2² +3' +...+n?

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Q: A class president is chosen by a popular vote. The winner of this election will be chosen by…

A: Given: 1st Place Sergio Maria Alison Alison 2nd Place Alison Alison Maria Sergio 3rd Place…

Q: Find the solution. (D* + 1802 + 81)y = 0 Ay = (c, + c,)cosår + (cz+c,)sin3r. ® y = (c, + cx)cos3r +…

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Q: Find the solution. dy x-+5y =2r?y4 dx (A y = 13 2+cx !5 6 B y = -x+ cr13 15 cy- 13 D y = 23 -2- cx 5

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Q: Give a Taylor Series expansion of f(x) = ln(x) and use its first 5 terms to approximate ln(7). Also,…

A: Please comment if you need any clarification. If you find my answer useful please put thumbs…

Q: Find the solution. dy -+y= dx 1+e y = ce+e "*In(1+e") B y = ce"+e*In (1+ e*) y = ce -e *In(1-e") ye'…

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Q: f cxsy) Xy R:oみメーか and 三

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: x²–y² onsider the function f (x,y)=| Which ONE of the following statements x²+y², TRUE? DA. (х.у) —…

A: We have to find the limit at point (0,0).

Q: Question 16 Find the Laplace Transform of e4t + 5 A + s- 4 B s+4 C s-4 D) s+4 s2 - + +

A: The solution is given as

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A: This is a problem of function.

Q: (D4 + 6D3 + 9D?)y = 0 Ay = (c,+c)x+(c3+cx)e* , 3x y = c,+c,x+(cz+c,)e* y = c,+c*+ -3x D +

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Q: Make a rough sketch of a contour map for the function whose graph is shown.

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Q: What is the general solution to the differential equation (tan x)dy – (4y In y – y tan³x)sec²x dx =…

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Q: Write the truth table for P ˅(Q ˅ R) ↔ (Q ˅ (P →(R ˄ R))) ↔(Q ˅ ┐R)

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Q: 7x +2+3x° log x +3x + 2x° log x + 2x'+ 6x 3

A: This is a problem of algorithm, complexity, function and run time.

Q: Find the solution. (D²-2D-3)y = 0 A y = c,e" +c,e * B y = c,e © y = ce D y =

A: D2+2D-3y=0 Auxillary Equation m2+2m-3=0 ⇒(m+3)(m-1)=0 ⇒m=-3,1

Q: Consider the following IVP: /" -10y' +9y = 5t, y(0) = -1, y'(0) = 2 %3D Find the general solution. 5…

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Q: Find the Laplace Transform of h(t) = t? sin(2t) = ='s 3s2-4 A H(s) = (s2+4) 2 482 – 3 B H(s) =…

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Q: Which of the following is the general solution to the differential equation 2(3x + y)² – 1 dx Arcsin…

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Q: Let A and B be subsets of a universal set U, show that (An B)U (A n B) = A AC Bif and only if B C Ā.

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Q: 2. Prove the following recurrence relation is satisfied by the given closed form using strong…

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Q: Q6. Use the method of Variation of parameters to solve (i) y" + y = tan x. (ii) x²u"+xy' +(x² – !)u…

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Q: Find the solution. (D5 - 2D3 - 2D2- 3D - 2)y = 0. -3x y = (c,+c,x)e-*+c;e-+e*(c,cosx+c gsinxr) -2x A…

A: Given differential equation is (D5-2D3-2D2-3D-2)y = 0

Q: ash” so that neither the

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