Cramer's rule t

Q: Proof Pythagoras theorem.

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Q: Proves Rolle’s theorem

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Q: Describe how Stoke's Theorem and the Divergence Theorem are similar to the Fundamental Theorem of…

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Q: Proof Prove Property 1 of Theorem 1.2.

A: Given :                  The limit,                 limx→c f(x) = L Formula used :…

Q: otential function? Show by example how to find a for a conservative field. How can you tell when ve?

A: We have to define potential function and explain  how to find potential function for a conservative…

Q: f(t) = t, 1<t < 00

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Q: directional derivativ e this information to

A: Given as, f1,2=3, i+j=0.7

Q: ation Side-Side-Side Postulate Reflection Side-Angle-Side Postulate will map ARXQ onto ASXT and ARXQ…

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Q: transformations

A: We have  a triangle PQR where P(1,4),Q(3,-2),R(7,1) We have to take the reflection across the X-axis…

Q: eriodic function f (t) is defined by 2t, f (t) = [0, taro

A: we have to find the graph

Q: (Sigma notation) Use your technology utility to compute the linear combination 25 j=1

A: Solution:Given    v=∑cjvjj=125To compute the linear Combination:

Q: Beta Function Prove that Vtan a do - 1//2.

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Q: Bessel's Function Tutorial sheet J, (x) Find ý and ý 2. y =

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Q: Vector-valued functions Find a function r(t) that describes the following curve. The line segment…

A: Given line segment is, P(2, -3, 0) to Q(1, 4, 9)

Q: sin (-z) = -sin z

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Q: Linear algebra number 1 a and b show all work

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Q: Cramer's Rule x + 2y + 3z = -5 3x + y - 3z = 4 -3x + 4y + 7z = -7

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Q: reflection across the x-axis W

A: Given,

Q: Independent t-test is an example of what kind of test? Probability, Parametric, Paranormal, or…

A: An Independent t-test is an example of a Parametric test.

Q: Random Walk Prove this! (ou)" = (u-0) = E P(U:)(Ui-ū)*

A: *Answer:

Q: Indeterminate forms & L'Hospital's rule

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Q: x dt Give a geometric interpretation of the function In x

A: Integration: At first we need to solve ∫1xdttThen we will equate it with ln x.

Q: tan u-tan v Prove tan( u – v) = 1+ tan u tan v

A: tanu-v=sinu-vcosu-v=sinucosv-cosusinvcosucosv+sinusinv     ∵sinx-y=sinxcosy-cosxsiny &amp;…

Q: Taylor’s Theorem and the Mean Value Theorem Explain how the Mean Value Theorem (Section 4.2, Theorem…

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Q: Using second-shifting theorem find, F(s) where f(t) = e-4t sin 3t

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Q: First Order First Degree ODE

A: Definition used –  The solution of the first degree and first-order differential equation (Separable…

Q: y = 10t² 10 S3 5+²

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Q: y-X, X=0,X =2,y=0, about the x-avis

A: Consider the given function as y=x2, x=0, x=2,y=0

Q: ar function = (1, 1, 2) i

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Q: Rolle's Theorem such that f'(c) = 0. %3D

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Q: Cramer's Rule iF poccible : 3x + 2y + 2 z a. y + 2z = -1 2x + 2y +

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Q: theory Prove it

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Q: Optimize the function. Use cramer’s rule for the first order condition (optimal values for x1, x2,…

A: Given, y=3x12-5x1-x1x2+6x22-4x2+2x2x3+4x32+2x3-3x1x3 For optimal values of x1, x2, x3 , First order…

Q: Prove Rolle's Theorem

A: To prove he Rolle's Theorem e need the statement: F be the real function which is continous on the…

Q: Convolution. Find the convolution of (a) Πα * Πα. (b) f(x) * ƒ(x), where ƒ(x) = e¯\ª\, -∞< ï<∞.

A: As per the question we are given two functions as: Πa(x) : the rectangular pulse function with…

Q: Bessel's Function Tutorial sheet 2. If x Jg, (x) Find ý and ý %3D

A: Solution:-

Q: Proof prove that ∫ csc(u)du = -ln(csc(u)+cot(u))+C

A: Given: ∫ csc(u)du = -ln(csc(u)+cot(u))+C

Q: State the Rolle's Theorem. Prove Rolle's Theorem.

A: Rolle's Theorem :                           If f(x) is continuous an [a,b] and differentiable on…

Q: tic function of z ny), then f(z) in te

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Q: estion 2 Applying De Molvre's theorem to write (4-43) in the form a +ib, the value of a is and of b…

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Q: 5(1) = { 012² 0 Given: f(t): -1<t<1 otherwise

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Q: Differentietion t@find the slofe of the funkdion fcel= Jx at the paint

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Q: Soluti What does this matrix "he gradie mean which is the derivative with respect to x1 and which is…

A: To solve the given problem. Related to partial differentiation.

Q: tactorization of Find the Gaussian 50 in pcime

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Q: Vector-Valued Function r(t) = - + 3tj + 4tk 5 x Z Find its length over the given interval. 26…

A: 1st we will draw the curve using its initial and final point .  To find arc length of the curve r(t)…

Q: linear algebra  .  What is the definition of a characteristic equation?

A: The objective is to write the definition of the characteristic equation.

Q: ation vith the in order m

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Q: Proof following relation: V × (Va)=0

A: