1 Let f (x,y) =In Then f (1, – 1) =... 3x2+4y3 XX

Q: Find the Solution (2x+3)y' =y+ (2x+ 3) 1/2; when x = - 1, y =0 2y = (2x+ 3) 1/2 In (2r + 3) 2x = (2y…

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Q: 3. Given the parent function f(x) = |x|, write the equation of the function g(x) whose graph is…

A: The graph of a function f(x) is the ordered pair of points (x,y) in the cartesian coordinate system…

Q: (b) 4x = 2 (mod n), n = 6 (c) 4x = 3 (mod n), n = 7

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Q: When the centered difference approach of f (x) = sin r - a+1 is used to estimate the first…

A: When the centered difference approach of f(x) = sinx-x³+1 is used to estimate the first derivative…

Q: 5. Assume that n is a positive integer. Then, use the Cauchy formula to calculate the following…

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Q: True or false 1. (peq) = -(p=-q)

A: Please post the multiple question separately. Here I answered 1st question as per our policy.

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

Q: the matrix -2 -3

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Q: What is the general solution to the differential equation y- (9 - + = 0 ? dx In(Ay – 2) = Ax +B y2 =…

A: We have given a differential equation ,  yd2ydx2 - dydx2 + dydx = 0 This can be written as ,  y y''…

Q: Find one value of x that is a solution to the equation: (3x – 2)2 – 4 = 9æ – 6

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Q: . (a) Show that if a, is a series of nonnegative terms that diverges to o, then any

A: Answer :-

Q: Evaluate the integral shown using Simpson's 3/8 Rule with 30 panels. 12 ) dx 4arctan O 32.52059525…

A: Given integral is ∫2124arctanx6dx

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

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Q: /3 In (x+ 1) The series representing the integral dx is given by

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Q: Let f (x) = e4x. Find p3(2), the value at x = 2 of the third Taylor polynomial about 0, and r3(2),…

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Q: Find the Linearizat ion of Non lineah Relations hip Y= (ax+

A: This is the problem of linearization, application of differential calculus.

Q: What is the general solution to the differential equation (3 tan x – 2 cos y) sec?x dx + tan x sin y…

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Q: 9. Use the series solution to solve the problems. a. xy" +4y'-xy = 0

A: Since you have posted a multiple  question according to guildlines I will solve first   question…

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

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Q: 1. Linear equation of order one: dy-(r' -2xy dx =0

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

Q: Consider the following bags each containing three marbles with colors white (W), black (K), yellow…

A: Probability of an event=Number of favorable outcomesTotal number of outcomes The total number of…

Q: Find the general solution of this ODE: d²y dy + 7. + 10y = 3t2 + 4t – 1 dt? dt

A: We have to solve the given differential equation.

Q: Question 17 Find the solution. (4D3 + 4D2 + D)y = 0 A y = c,x+ (e,+cz)e¯/½ B y = c e © y = c,+…

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Q: 4. Let f(x) = x, Vx E [0, b]. Show that f is integrable and that 62 f(x) dx : Answer:

A: Given function is  fx=x, ∀ x∈0,b

Q: How many permutation of the letter ABCDEFGH contain the string ABC?

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Q: and y=0 (roune

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Q: Consider the following IVP: y"+a?y = 0; y(0) = 1, y'(0) = 0 Find the general solution. A) y(t) = sin…

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Q: 12. In a standard deck of 52 cards, each card has a suit and a rank. There are four suits (spades…

A: We have to find the probability that the 5 cards in this hand consist of 3 Aces and 2 Queens.

Q: A. Find the area enclosed by each of the following curves. T= 4 sin e

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Q: 2xージ f (x) : 33 Vx2 T sin 2x + Ve2x + 2x –- In e, x # 1 1-x (1–3t)5(t³-8) g(t). t # 2 2-t

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Q: Use undetermined coefficients to find the particular solution to y'' – y' – by = 2e-2 Y(t) =

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Q: b) Given a linear system as below х — 2у + 3z %3 9, —х + Зу %3D — 4, 2х — 5у + 5z %3D 17 Find the…

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Q: Let A = [ 3*0 .8 = [ Jand C = [14-0 Jand c = [1* | Find the matrix X, if 8+0 -10 A? + 3X =C |B|

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Q: . Describe ALL transformations from the parent function f(x) = x² to the function g(x) = -(x + 3)´ +…

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Q: For the system below, solve using Jacobi and Gauss-Seidel methods with error of below 5%. 5x, – x,…

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Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem first we find the amount of Graham crackers that to be needed to make 1 s'…

Q: 6s 3 Find the Inverse Laplace Transform of g2+ 25 2+ 25 A 6sin5t +-cos5t 6cos5t + sin St 3 -sin St…

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Q: Kora uses the following ingredients to make 1 s'more. Ingredient Amount Graham crackers Chocolate…

A: To solve this problem we need to find out how much amount of Graham crackers required to make 1…

Q: Verify Stokes Theorem for the vector field F(x,y)=(-2yz) i + y j+3x k on the part of the paraboloid…

A: Given F→x,y =-2yzi→+yj→+3x k→  We have to Verify the Stokes theorem for the given vector field on…

Q: 4. Let F(n) = 2F(n – 1) + 5F(n – 2) – 6F(n – 3) with initial conditions F(0) = 4, F(1) = –4 and F(2)…

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Q: What is the particular solution to the differential equation * + (1 + x)y = 12 with y 0 and = 0 when…

A: The solution is given as

Q: 38 a Complete the square for x² – 8x + 25. b Hence find 2x +7 dr. x² - 8x + 25

A: To complete the given square and to evaluate the given integral.

Q: 6. PROVE: Let f be defined on an interval I. Suppose that there exists M > 0 and a > 0 such that…

A: Uniform continuity means delta only will depend on epsilon and not on the point chosen. Using this…

Q: Which of the following is the general solution to the differential equation (3 + 8y³e3y=x))dy – dx =…

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Q: Find the Inverse Laplace Transform of (s+4)3 A ³(2cos21 + - sin2t) e-2(cos21+ -sin2t) (2cos21 +…

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Q: When the insured knows more about their circumstances than the insurer, there is O propitious…

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Q: Let e > 0 be given. Find & > 0 such that |x – 2| < 8 implies that J22 + x – 6| < e. A nsw er:

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Q: 2. Let A = (1,0, 2) and B= (6,-2, 3). Solve for projAB.

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Q: Derive the formula for the False Position Method

A: Derive using the concept of similar triangles.

Q: What is the particular solution to the differential equation dx 1 + y = 2e-* with y = 1, dy -1 when…

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