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Q: Example: Fined all eigen values and eigen vectors of the matrix and check that P'AP is diagonal…

A: We can solve this by solving first eigenvalues by Newton's rakhein method and next calculating…

Q: 10. (D² – 2D – 3)y = 0 when x = 0, y = 0, y' = -4

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

Q: Find the average distance from a point P(x, v) in the first two quadrants of the disk x2 + v s25 to…

A: Given: We have given point first two quadrant of disc   x2+y2≤25 and origin. We need to calculate…

Q: 1. Consider the curve C with parametric equations Sæ(t) = t3 – 3t +1 \u(t) = t(t + 1) defined for t…

A: Given curve C parametric equations are xt=t3-3t+1yt=tt+1

Q: 2. Determine the real ro accurate to 4 decimal

A: 2. Given,            f(x)=tanh(x2-8)

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

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Q: d²r 5. For the Van de Pol equation, - p(x² – 1)4+x=0 the parameter u is positve. What if u were…

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Q: 3. You are designing a spherical tank to hold water for a small village.The volume of liquid it can…

A: Given equation is , where R is radius of the spherical tank, V is the volume and h is the height…

Q: 1 Answer the following questions about the graph below. 5 a) What is an Euler circuit? b) Does the…

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Q: choose the appropriate answer

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Q: 26. If z = In(x² +y²), find x- ду Əx A) х с) у в) х-у D) 0

A: If z=ln(x2+y2), We need to find x∂z∂y-y∂z∂x.

Q: Compute the flux of the vector field F = xi + yj + zk through the surface S, which is a closed…

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Q: Find the smallest value of x for which the series ř (I+ 48)" 2ln(n) n=2 is conditionally convergent.…

A: We have to find the smallest value of x for which series is conditionally convergent.

Q: Two-point Gauss-Legendre formula S (2x + ) dx

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: The given curves are y=225-x2 and y=9.

Q: solve for the laplace transform of f(t) = {2,t < {-5<t< m 2 2

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Q: uppose that you arrive at a service center having two counte usy at the moment but there is no one…

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Q: Consider the following problem: A box with an open top is to be constructed from a square piece of…

A: Pictures will be something like this with red portion being cut Height of the cube or cuboid will be…

Q: ren 2.2x2 + 1.5x3 – 3.3x4 = -9.30 0.2x1 + 1.8x2 + 4.2x4 = 9.24 -x1 - 3.1x2 + 2.5x3 = –8.70 0.5x1 -…

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Q: H.W: Estimate the root of the equation for the following equation using Secant Method: 1. x3-5x = 3…

A: We can have this using secant method

Q: and P is the vector space of polynomials of degree <2. If p is the vector space of polynomials of…

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Q: Estimate ë to five digits of accuracy by computing the integral of f(x) = 4/1 – x² for x € [0, 1].

A: Given fx=41-x2 and x∈0,1 I=4∫x=011-x2dx

Q: Find the volume of the solid that results when the region enclosed by y = e", y = 0, a = 0, x = In…

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Q: The joint PDF of X and Y is given by f (x, y) = x+ 0 0 and y E (0, 1), derive E[X | Y = y] in terms…

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Q: Solve the system Y1 = 26y1 + 13yY2 + 13y3 Y2 = 13y1 + 26Y2 + 13y3 %3D Y3 = 13y1 + 13y2 + 26y3 NOTE:…

A: Given system of differential equation is y1'=26y1+13y2+13y3y2'=13y1+26y2+13y3y3'=13y1+13y2+26y3…

Q: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: II. Calculate the determinants of the matrices using the cofactor method. 1 1 01 3 1 1 b. -1 0 3 1 3…

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Q: 2. Consider the system i1 = x – 2x1x2 and i2 = -x2 + xỉ %3D a. Find the first few terms in the power…

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Q: 1. Use Direct Proof to prove that the product of two consecutive integers is divisible by 2.

A: We have to prove that product of two consecutive integers is divisible by 2.

Q: in fuzzy graph theory what is the threshold graph? And give examples

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Q: Consider k : D –→C k(2) = %3D (1 – z Show k is 1-to-1 and find k(D).

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Q: A loan of $19,312 was repaid at the end of 15 months. What size repayment check (principal and…

A: Given : P = $19312 ,    t = 15 months  ,  r = 11% = 0.11

Q: 14. Which is a discrete random variable? OX = "weight of the microprocessor inside your computer"…

A: We want to find discrete random variable.

Q: Find the area of the shaded region shown in the graph. y- 13 sin ye 13 cos x The area of the shaded…

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Q: A. for Cal aulate Apeak d M the tue matho de. Ahay yom cal culations Campa re the

A: Sol

Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…

Q: 3. Let A be an n x n matrix. Let (x, y) = x"y be the scalar product for R". (a) Show that (Ax, y) =…

A: Given that A is a n×n matrix. (a) We have to show Ax,y=x,ATy ∀ x,y∈ℝn.

Q: Q1 (a) To identify how much heat is required to bring a kettle of water to its boiling point, you…

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Q: Consider the curve C with parametric equations Sr(t) = t3 – 3t +1 ly(t) = t(t + 1) %3D defined for t…

A: For horizontal tangent slope of tangent is 0 and for vertical tangent slope 10 concavity of y=f(x)…

Q: 1. Express the following statements using quantifiers. a. All cats have fleas. b. No one in this…

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Q: 1. Find power series representations for the following functions. State the radius of convergence.…

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Q: 1 11 1 5 5 3 3 35 5 4 4 4 4 Layout A 4 4 4 4 2.

A: Sol

Q: 9. (a) Show that if n is an integer, then: -o3* (") = 4". %3D (b) Let n be a positive integer. Show…

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Q: The equation of motion of a train is given by dv mk (1–e“)- m %3D dt where v is the speed, t is the…

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Q: Let r(t) = (sin(2t), sin(t)) for 0<t<T. Find the area bounded by this curve, rounded off to two…

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Q: Find values (if any) of the unknowns x and y which satisfy the following matrix equations: [3 3. 3 3…

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Q: 1 1 C. TRUE or FALSE The vector 1 2 and 3 form a subspace in R³. Justify your answer.

A: We have to find that either given space is subspace of R^3 or not

Q: Question 4 Solve the initial value problem: y' -0.03y+6 y(0) = 50 %3D y(t) = %3D

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Q: Use Laplace transform to solve the initial value problem x" – 9x = e¯3t , x(0) = 1, x'(0) = –1 1,…

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Q: Romberg Integration with 5 and 8 segments e* Sinx dx o 1+ x2

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