8x + 6 c² + 9x - 361] S[x² 3x

Q: as ủ = y. unit vecto . If the ve

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Q: y" - 10y' +9y=e⁹t ;y (0) = 1, y' (

A: Given,           y''-10y'+9y=e-9t; y(0)=1, y'(0)=1

Q: (-1 5-2) Consider the matrix A = 2 -5 5 2 a) Obtain the eigenvectors (V₁, V2, V3) of A. b) Write a…

A: Solve |A-λI|=0 for eigen values and [A-λI]v=0, where v is eigen vector.

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Q: ify and sketch the

A: Given,       9x2+25y2-16z2=0

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Q: | Example 10.1. Using Picard's process of successive approximations, obtain a solution upto the…

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Q: a. [=³² (n =)²] 15. lim z→0+

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Q: Find the inverse Laplace transform of the function G(s) = as + b s² +82 .a = = 4, b=9, ß = 9.

A: We have to find the inverse Laplace transform of the function  G(s)=as+bs2+β2.a where a=4 , b=9 ,β=9…

Q: Q1): The concentration of salt is given as a function of time by: dx = 37.5-3.5x di at the initial…

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Q: Example 9.10. Solve yn2-4y = n² + n - 1.

A: The solution is given as

Q: log: (x+3) 2-1-1-cosh(cos-¹x) 4. lim

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Q: VIII. Suppose that f(x) is continuous everywhere and the graph of f'(x) is shown below. Do not…

A: 1) since for maximum or minimum values of x of the function f(x) ,f '(x) =0, so for x=4 f has…

Q: Find the nth Maclaurin polynomial for the function. f(x) = e-x, n = 5 P5(x) =

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Q: Suppose that u, v, and w are vectors such that Evaluate the given expression. u-v-2w, 4u+vi (u, v 2,…

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Q: Three years ago, Pete took out a loan of $55,000.  The loan was taken out for 10 years with an…

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Q: Q2) Which of the following series is converge or diverge 00 Σ ,0.7777777777777 η? n=1 Σ{} n=1

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Q: Find the centroid of the given region. (A) (5,15) (B) (3/22,45/61) (5/14,38/35) (8/23,76/111) y=2-x²…

A: Area under the curve y1=f1x and y2=f2x in the interval x∈a,b   A=∫abf2x-f1xdx x-coordinate of the…

Q: 6. e 2t sin2t + e³t₁² 2

A: Given function is f(t) = e-2tsin 2t + e3tt2 To find Laplace transformation we use the following…

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Q: r(t) = (7t cos t-7 sin t)j + (7t sin t + 7 cos t) k OT= (-7 sin t)j + (7 cos t)k OT= (-sin t)j +…

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Q: 1. f/² sin () cos (+) sin (²) d dx (Consider initially the first 2 terms)

A: We have to use the formulas for 2sin(A)cos(B)-sin(A+B)+sin(A-B) and 2sin(A)sin(B)=cos(A-B)-cos(A+B).…

Q: Use Stokes's Theorem to evaluate F(x, y, z) = x²i + z²j – xyzk S: z = √√√4x² - y² F. dr. In this…

A: Consider the given function, Fx,y,z=x2i+z2j-xyzk and S:z=4-x2-y2 Let us consider that ϕ:x2+y2+z2=4.…

Q: Give at least three (3) examples, with complete and detailed solution, onsolving Differential…

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Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed by the…

A: Consider the given equation of curves, y=ex2, x=1, x=3, y=0 here we need to find the volume of the…

Q: 1. Find the general solution of the system of differential equations d -37 -56 26 -X = x+e4t ) dt 30…

A: Consider the given system of differential equation, ddtx=-37-563045x+e4t26-19 Compare with the…

Q: a x In the experiment of tussing a fair coin is the randam variable giving 3 times the number of…

A: Given three fair coins are tossed. So PX = 0 = 18P(X = 1) = 38P(X = 2) = 38P(X = 3) = 18

Q: Find all Max., Min., saddle point for the function below: f(x, y) = x²³²+ 3xy ² - 15 x + y ² - 15 y

A: Given the function fx, y=x3+3xy2-15x+y3-15y We will find all maximum, minimum, and saddle points for…

Q: ² - x ²² = y² dz ४x d²z Find the solution of xy' буду

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Q: Wells Company AT&T Bank of General America Electric Verizon Fargo Time to Maturity 10 10 2 8 7…

A: To determine the original amount of the AT&T bonds.

Q: 1. Suppose n is an integer. Find all values of n such that 6n + 3 is divisible by 5. If there are…

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Q: P(5,2,-1), Q(1,-3,-2), T(4,1,5) forms a triangle. find the vector projection of Rqp perpendicular…

A: Given P(5,2,-1), Q(1,-3,-2), T(4,1,5) forms a triangle. Then the vector…

Q: Which of the following series is converge or diverge - ΣΤ' ,0.7777777777777 n2 n=1 . Σ{} 27

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Q: Approximate the sum of the series by using the first six terms. (See Example 4. Round your answer to…

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x − 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to find the first derivative if the given function at x=0 using…

Q: B 4 3 5 6 1 -2 1 1 4 3 f(x) 1 92. The function f is twice differentiable. Selected values of ƒ are…

A: We can solve this using Newton divided differences method

Q: • Evaluat the integral:- 푼 S S. seč (cosx) dx dy Sin y

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Q: H.w ☺ Sketch the Ⓒxsayd3dx @ O region of integration & evaluate the integral: B ر ولد * ؟؟ " -

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Q: Let S1 be the surface generated by z - 4 = -y revolved about the z-axis. Let S2: x² + y2 = 4.…

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Q: How many meters of cloth 5.2 metre wide will be required to make a conical tent, the radius of whose…

A: Solution

Q: Prove in an integral domain, a prime element is always irreducible.

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Q: Create a table showing the differences of Euclidean, Elliptic, and Hyperbolic geometry according to…

A: Euclidean, Elliptic and Hyperbolic geometry are the different classes of three dimensional constant…

Q: GGQ. VII. Consider the function f that satisfies the following: . f is continuous everywhere except…

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Q: Test the series for convergence or divergence using the Alternating Series Test. 1 1 1 1 1 In(5)…

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Q: 6x-25x+8x+43x--8x-12 (3x4-11x3 +9x²-11x+6) (9x² +12x+16) + C(3x+2)+D 9x²+12x+16] Find f - [Ax+B x²…

A: Given integral is      (1) Its reduction is ∫Ax+Bx2+1+C(3x+2)+D9x2+12x+16dx We can write it as…

Q: dice In the experiment of throwing two fair let (A) be the event that the is odd, (B) Be the event…

A: Two fair dice are thrown. Let A be the event that the first die is odd and B be the event that the…

Q: Free Response Show all your work to support your final answer and 1. Let R be the region in the…

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Q: Find the Laplace Transformation of -3x y" +3y + 2y 4e when y (0) = 2, y' (0) = 4 28² +16s+30 OY (s)…

A: Given differential equation: y''+3y'+2y=4e-3x, y0=2 and y'0=4To find: Laplace transform of the…

Q: y = -1(x³) sec ³x cot √5coth x +6

A: