Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

Q: (IV) Find the half-range cosine series of f(x)= x(7-x) in (0,7). Hence find the sum of 1 1 the…

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Q: Find a general solution to the differential equation. y' + 2y = 2 tan 2t - 3t 21-11e³1

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Q: (c) (i) Find all the square roots of 1 in Z25 and Z32. Find all the square roots of 9 in Z800- (ii)…

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Q: 5. The dimensions of a cylindrical object are increased by a scale factor of 3. The volume of the…

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Q: 5. In how many ways can 7 boys be seated in a circular order?

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: We are given a second order linear differential equation with variable coefficient and two linearly…

Q: . (D²+1)y= 10e²x When x = 0, y = 0, y' = 0

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Q: 3 2 Y 4 -2 -2.69, -1.33) -2 a. The terminal point is how many radius lenghts to the right of the…

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Q: Your parents helped you buy a car. You were supposed to pay then back $2000 sixty days ago and $1800…

A: Solution:-

Q: Complete the table shown in Figure 2 for the N = 5 data points, and hence solve the following system…

A: Answerr

Q: (b) How many partitions does the set [10]

A: This is a problem ofcounting.

Q: find solution using direct integral method for the partial differential equation below: გ37 əx² əy =…

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Q: Use variation of parameters to find a general solution to the differential equation given that the…

A: It is given that y1=6t-1 and y2=e-6t are the solutions of the given differential equation. We have…

Q: The second-order Adams-Bashforth method for the integration of a single first-order differential…

A: Problem is solved using concept of second-order Adams-Bashsorth Method.

Q: Find the general solution to the differential equation (7x+5y)dx + (5x - 8y³)dy = 0

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Q: z² = 15x² +5y²-30

A: Solution :-

Q: central-difference method to approximate the derivative of f(x) = ln x² with value Use of x at 1.8,…

A: As multiple questions are there and it is not mentioned that which question to be solved, I will…

Q: 2. Write the system of differential equations dar - 2r+y. dt du <-5a-2y dt in a matrix form, compute…

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Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Consider the given solid R, 0≤x≤10≤y≤1-x20≤z≤4-x2+y2 So, the diagram of the region is shown below,

Q: 2. Let S be the set [9] = {1.2..9}. 1 (D) How many derangements of S have 9 in the 2nd position and…

A: We have the set 9=1,2,...,9 We need to find the number of derangements. There are 9 places to fill…

Q: y" - 2y' + y = 4e-t + 2et, where y(0) = -1, y'(0) = 2

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Q: ACME Thingamjigs ltd. produces two types of thingamajigs, Type 1 and Type 2. The demand for…

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Q: By using polar coordinates, evaluate the double integral -y²dx dy x² + y² over the region in the…

A: Answer is given using polar coordinates.

Q: 3. Solve the following equations over the interval [0, 2π]. Use exact values where possible, or…

A: a) tan2x=13 tan2x=13tan x=±13x=π6,7π6,5π6,11π6

Q: X[k] =a* [u[k] - u[k − N]]

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Q: (B) Use Tabular integration f(t³-4t² to evaluate the following: - + 5t+ 32) sin(t)dt

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Q: Determine y(t) 2. 18y" +27y" + 13y' + 2y = 0, where y(0) = y'(0) = 0, y" (0) = 1

A: To find the solution of the given differential equation :-

Q: f(s) = s² +5 2 3s³+2s²+5s find f(t)

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Q: (B) Use Tabular integration to evaluate the following: - f(t³-4t² + 5t+ 32) sin(t)dt

A: The solution of the given problem is below, using tabular integration...

Q: - 1. y(4) + y = 0, where y(0) = v'm "(0) = 0, y""(0) = 1

A: Follow the steps.

Q: 5. y" + y secx tan x =

A: We have to find the general solution of the given differential equation by the method of variation…

Q: If the bank advertises it's rate as 6.2% compounded monthly and another bank advertises it's rate as…

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Q: 4. What is the median of the scores 6, 8, 11, 25, 15, 10, 2, 8, 16? A 2 B. 6 C. 8 D. 10

A: solution :  Options (d) is correct

Q: Use the second-order predictor-corrector method (that is, the first-order Adams-Bashforth formula as…

A: Answer is given using second-order predictor-corrector method.

Q: Set up the triple integral that will give the following: (a) the volume of R using cylindrical…

A: Solution.  In cylindrical coordinates  x=rcos(θ)  y = r sin(θ)  z = z  0&lt;= r &lt;=1, 0&lt;= θ…

Q: Find a general solution to the differential equation. y'"' + 2y = 2 tan 2t 3t -1/1e³t 4

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Q: find solution using direct integral method for the partial differential equation below: 2³7 1 = 12…

A: Here we using integration w.r.t to x and y to find this

Q: 6. For the function f(=) = ²+ = -2² (a) find the poles and determine the residues at each pole; (b)…

A: Definition:  Consider the function f(z) with an isolated singularity at z0 and the Laurent series…

Q: 13. If A is a subset of 2 and = (2,0, A, Ac), then σ(8) - 14. If A and B are subsets of 2 and is a…

A: Please find the answer in next step

Q: Fit the following data using Lagrange Interpolating Polynomial and compute f(x) at x=-1 X 2 6 3.2 -1…

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Q: Find the Half-range Sine series of f(x) = rsin(r) on (0,2).

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Q: 7. Ax (5+, 10+) where A-Z*

A: Please see the attachment

Q: Find the orthogonal trajectories of the family of curves: Ellipses with centers at (0,0) and two…

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Q: To what values does the Fourier sine series converge at z = =0, x= π/2, x = π, x = 3π/2, and z = 2π?

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Q: 4. Use the Divergence Theorem to evaluate the flux integral JS, F-ndA over the surface of a…

A: Given that, F=(3xy3z5,3y,-xy3z6)F⇀=3xy3z5i^+3yj^-xy3z6k^ We have to evaluate the integral  ∫∫sF⇀.ndA…

Q: 18y"" + 27y" + 13y' + 2y = 0, where y(0) = y'(0) = 0, y" (0) = 1

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Q: Which of the following sets is linearly independent? -ex-y-5=x+C OM= {(1,3),(3,9),(-1,-3)) M=…

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Q: y y = 1 (1, 1) A X=1 y=x² с X (0,0) Region A is bounded by the parabola x = y², the line y = 1, and…

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Q: Problem 5. Determine the singular points of 3 (x − 7)³y"(x) + cos²(x)y′(x) + (x − 7 )y(x) = 0 = and…

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