2- Manually calculate the following. a. 9100 (mod 11) b. 13241 (mod 35)

Q: Find the x²y" − 5xy' + (9 + 2) y = 0, y(e−¹) = 0, y(1) = 0. - eigenfunctions for the following…

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Q: 1f \ x | < 1 and 1= x < < 1; then: 2 ₂ F₁ (a, b ; c ; x ) = (1 − x)¯ª₂ F₁ [a, c − b; c; X _— — ₁) X-

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Q: Find an orthogonal basis of the column space of the following matrix: 2 6 2 4 A = 2 1 4 5 2 4 1 2 2…

A: First we put the matrix into reduced row echelon form to find the basis for column space.  Next we…

Q: Using the bisection method to obtain the roots of the following equations. -(50/9)x3+265x…

A: Given that f(x)=-(509)x3+265x here f(0)=0  so, the root of equation is 0

Q: Let E be the region bounded above by x² + y² + z² = 10², within x² + y² = 5². z ≥ 2. Find the volume…

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Q: Let f(x) be a differentiable function and g(x)=(ƒ(x))³ – 3(f(x))² + 4f(x) + 5x + 3sin x + 4cos x V x…

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Q: Convert the point (r, 0, z) = = 5п " 6 decimals to at least one decimal place. (x, y, z) = 1) ₁ to…

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Q: Show that the greatest volume of the cylinder which can be inscribed in a right circular cone of…

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Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

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Q: 2. f(t) = 4t cosh 3t

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Q: The given function models the displacement of an object moving in simple harmonic motion. y = 6…

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Q: Find the coordinate vector of v relative to the basis S V= (14, 6, 24); V₁ = (4, 0, 0), v₂ = (6, 6,…

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Q: Let f: Ax AA and let CCA. We say that C is closed under f to mean that Vx, y E [f(x, y) E C]. For…

A: Answer :-

Q: Which is/are the correct counterexample to disprove the statement that all perfect squares are even?…

A: We have to choose the correct counter examples to disprove the statement that all perfect squares…

Q: {"By experiment method"; Make a series of drawings and briefly explain each ...) You have a drum of…

A: Given that, You have a drum of water, a 5-quart pail, a 3-quart pail, and an empty drum. 1 quart of…

Q: Let f(x)=x²-3x²+6Vxe R and g(x) = max. f(t); x+1≤t≤x+2,-3≤.

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Q: Find the general solution of y" - 6y"=3 - cosx.

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Q: Analyze and sketch a graph of the function. Find any intercepts, relative extrema, points of…

A: A parabola is of the form (x-h)2=4p(y-k) x-intercept is the point where y cuts x-axis. y-intercept…

Q: 5. Write the form of a particular solution without determining the coefficients given that yh=…

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Q: r = 1 for 0 € [0,л] and Ø € [0, 2À) 0= π/4 for 0<r≤ 1 and Ø = [0, 2π) Ø = π/2 for all values of r…

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Q: Transform: F (s) 48-16 8²-68+13 O f(t) = 4e-3t cos2t - 2e-3t sin2t O f(t) = 4e³t cos2t4e³t sin2t O…

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Q: Show that if an →a, then the sequence of absolute values |an| converges to la]. Is the opposite…

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Q: Prove the statement, or give a counterexample. c) There is no sequence that converges to 3 in metric…

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Q: Find the mean and standard deviation of a normal distribution that approximates the binomial…

A: Given n=200, p=0.25 (46)  x =np    =200×0.25    =50∴x =50 (47) σ=np1-p  =2000.251-0.25 =6004  =6.12

Q: Convert the equation x² + y² = 36 to spherical coordinates and write in standard form, solving for…

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Q: A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If…

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Q: f(x):= cos a a-sin

A: Given the function: f(x) = cosxa-sinx on the interval -π≤x≤π where, a&gt; 1 If we recall the…

Q: There are 95 toys to be given out to a group of children. A ball costs $2, a doll costs $3, and a…

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Q: Let a, b, c E R. Prove that a - b < c if and only if b-c<a<b+c.

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Q: Letf: [0, ∞)→ [0, ∞) and g: [0, ∞) → [0, ∞) be non-increasing and non-decreasing functions…

A: Given  f: [0,∞)→[0,∞)g: [0,∞)→[0,∞)hx=gfx Clearly hx≥0, ∀x since g:[0,∞)→[0,∞) Now  dhxdx=ddxgfx…

Q: Prove a^2 +4a+3 is odd if and only if a is even.

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Q: 1 SS √ ₂ 20² + y² + 2² Evaluate x² + y² + ₂²: dV, where E lies between the spheres x² + y² + z² = 1…

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Q: A force of 39 N is needed to keep a spring with a 8 kg mass stretched 0.75 m beyond its natural…

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Q: (a) Suppose that p and p + 2 are both prime. Explain why either p is 3, or p + 1 is a multiple of 6.

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Q: . State whether the series converges absolutely, conditionally, or not at all. ∞     n = 1(−1)n + 1…

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Q: Suppose {V1, V2, V3} are linearly independent vectors in a vector space V. Find the number(s) k such…

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Q: Prove IfA∪B=C, then(C−B)⊆A.

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Q: Solve x643 = 27 (mod 800). Solve 343 = 7 (mod 900).

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Q: the differential equation. (D²+1)y=secx tan x

A: The general solution of a differential equation  is given by; y(x)=C.F+P.I where C.F is the…

Q: By using the Bisection method to find the root (only one root) of the function: f(x) = 8x3 – 18x2 +…

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Q: For any integer n, n² + 5 is not divisible by 4.

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Q: Let A E BL(H). Then A is called normal if A*A = AA*, uni- tary if A*A = I = AA*, that is, A* = A−¹,…

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Q: Distance, in miles 0-200 201-400 401-600 601-800 801-1000 $400 Price per 100 lbs $100 $120 $200 $240…

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Q: Theorem 8.5. Let x2 100. We have T(x) > log loga.

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Q: Plot the points whose coordinates are given. * (21) a. b. 3, π 3π - 4' 4 S

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Q: A produce buyer for a juice company is buying pears. He makes a choice of either Wisconsin,…

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Q: Use the Venn diagram to answer the question. In 2016, among the top 100 grossing movies in a…

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Q: 3 Find the general solution of the third-order ODE y(³) + 6y" + 10y' + 6y = 0, note that m³ + 6m²…

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Q: Find the volume of the solid bounded below by the circular paraboloid z = : x² + y² and above by the…

A: Solution: