Q14 Suppose that C is the graph of a smooth vector-valued function r(s) parametrized by arc length with r'(0) =( 2/3,1/3,2/3) r"(0) = (-3, 12,-3) find T(0), N(0) and B(0) ?

Q: f(x) = x + 2* – 100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: Use spherical coordinates. (a) Find the volume of the solid that lies above the cone p = 1/3 and…

A: Part(a): Given sphere is, ρ=4cosφ Let us assume that , x=ρsinφcosθy=ρsinφsinθz=ρcosφ Where…

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Q: he coefficient ao of Fou +2 t. く?

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Q: -8.5e y" – 4y + 4y = t2 +1

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Q: Triangle ACH is isosceles with altitude 25 cm and base angles HÃC = HCA = 65°. a Find the length: i…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

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Q: Example Hw Consider laurent Series expansions around zzo of the following O f(2) = %3D 22-32+2

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Q: e relation on the set of ordered pairs of positive in +c. Show that R is an equivalence relation.

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Q: 14. x" + y = -101 sin(10t) ; y " + x = 101 sin(10t) ; x(0) = 0, x ' (0) = 6, y(0) = 8, y' (0) = -6

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Q: 10. Evaluate the following integrals (b) dr 1 (a) S 2+1 dar x2 –6x+13'

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Q: Write the augmented matrix as a system of equations 1 0 -2 100 0 1 1 150 1 300 y+ = Z

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Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: Find the volume of the solid generated by revolving the region bounded by y =4x and the lines y=4/3…

A: Introduction: The formula of the disk method is given by, V=π∫ab(f(x))2dx Where f is the function of…

Q: Problem 3. Does the following differential equation: dy da 1- y always have a unique solution for…

A: We will use existence and uniqueness theorem here . Existence of solution If f is continuous on an…

Q: =2500·0.985x represents the number of members of a website, where x is the number of months since…

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Q: 3, Use the definition of limit (c& 8} to show that lim(2x+iy ) = 4i, where z=x+iy. 21

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Q: Find T3 centered at x = a. 1. f(x) =e2x,a = 0

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Q: f(x) = x + e Solve this question by the Bisection method on the topic of solution of Algebraic and…

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Q: Problem 3 Let R be the relation on the set of ordered pairs of positive integers such that ((a, b),…

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Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r- 2- cos(0)

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Q: Let R = Q[V2] and S = Q[V3]. Show that the only ring homomorphism from R to S is the trivial one. In…

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Q: Usian Bolt jogs one (1) mile the first day and increases his daily run by 1/4 mile every week, how…

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Q: Prove that x? – 34y? = -1 has no integer solutions. (Hint: First find the minimal positive integer…

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Q: 1. For a subset YC (X,T ) , show that the collection TY ={Y NUJU ET} is closed under finite…

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Q: e.Solve the diffusion problem uų

A: Given,           ut=uxx in 0<x<1                    ...(1)            u(0, t)=u(1, t)=0…

Q: 2. f(x) = x +2 - 00 ー100 Solve this question by the Fixed-point method on the topic of solution of…

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Q: The diagram below will be used to answer the following questions: f(x) 8 -7- -6 -5 -3 -2 3 4 8. 9 10…

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Q: (c) Consider the double integral || xy dA where D is bounded by the x-axis and the upper half…

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Q: Find a particular solution to -8.5e2t y" – 4y + 4y = t2 +1 Yp ||

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Q: f(x) = x + e¬X Solve this question by the Bisection method on the topic of solution of Algebraic and…

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Q: 2) Determine if F is a conservative vector field. If so, find a function f such that F = Vf. F =…

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Q: 3х3 real inant of

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Q: cot NX dx

A: Introduction: The process of determining the area of the region under the curve is known as…

Q: Find a particular solution to -18.5e-21 y" +4y +4y = t2 + 1 Yp =…

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Q: axlx=0 11. Find the solution of the heat equation if the boundary conditions are 2x 0 < x < ди 0,…

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Q: AND FUNCTIONS Finding a difference quotient for a linear or quadratic function s(x+h)-f(x) Find the…

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Q: * Determine whether the integral is divergent or convergent. Find the value of the integral if the…

A: We have to find the value of given intregal and determine the intregal is convergent or divergent.

Q: Which of the following sets are linearly dependent in (-co, co)? S1 = (x, sin x, cos x} S2 = (sin…

A: We first find the Wronakian for each given set of functions and then evaluate the value of Wronakian…

Q: Consider the given vector equation. r(t) = e16t i + e8t j (a) Find r'(t).

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Q: If the matrix A is positive symmetric definite, is BTAB also positive symmetric definite?

A: Let us define the function as, A¯=BTAB Then, A¯T=BTABT=BATBT=BABT   [A is symmetric]

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Q: 5. Given the initial value problem dy dt t(y + 1), y(0) = 2 use Euler's method with at least four…

A: Euler's Method is used