Find Field and range fex) =sgn(1x1) +1

Q: Use the Fundamental Theorem of Calculus, Part I, to evaluate d de -dt

A: We have to find

Q: ,2 2. 6+t dt

A:

Q: use direct Fourier transform formula to prove thès 8o -at t é ut ult)

A:

Q: In ALMN, LN is extended through point N to point O, (x – 4)°, mZMNO = (4x – 17)°, and mZNLM = - -…

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Q: Evaluate the integral. .5 3 cosh(t) dt 0.

A: Solution

Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: Use a linear approximation to estimate V26. Whot neint

A:

Q: I, FIND HE NET AREA OF fos) - Zx and gx)= O FROM [-3,3]

A: Given : Functions f(x) = 2x and g(x) = 0   To find : Net area of f(x) and g(x) from [-3,3]?

Q: Use a linear approximation to estimate v100.5. Show your work.

A:

Q: 5. Show that dS = 0. lav

A: The objective is to show that, ∮∂VdS=0. Let V=cT where c is a constant vector. Now by divergence…

Q: Use the error bound to find a value of N for which Error(TN) ≤ 10−6. If you have a computer algebra…

A: ∫251xdx

Q: 3x 3x -e

A:

Q: Find The integral of The funchion 3172X+1 年2x4! dx 2X+3X41

A: =?

Q: 6. Prove that 1 cosh(tanhx) : -1 <x < 1. V1- 12

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Q: Find the integral. x° -7 dp-

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Q: Use linear approximation to approximate cubrt(28)

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Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

Q: Use reiation Ship: the fcx) (x) To Calculate Js?

A: Here, we need to calculate √8. In other words, we need to find the root of the function f(x) = x2 -…

Q: Explain why the two forms of Green’s Theorem are analogs of theFundamental Theorem of Calculus.

A:

Q: Use the addition formulas to provesinh(2x) = 2 cosh x sinh xcosh(2x) = cosh2 x + sinh2 x

A: Our Aim is to prove the following identities:-(a) sin h(2x)=2 cosh (x) sinh (x)Proof⇒Since, sinh…

Q: bounded by + 22 %3D

A: z&gt;0z=x2+y2z=1-x2-y2Intersection;x2+y2=1-x2-y2x2+y2=1-x2-y22x2+2y2=1x2+y2=12x2+y2=(12)2;  circle…

Q: Show that ! fransform fix into It fn, linear "difference equation: equadion: SkH= +1. JKH

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Q: 2. Estimate V50 using tools from calculus.

A:

Q: Find the area of the triangle with its vertices on the points (5, 1), (1, 3) and (-1, -2) by means…

A: On solving this we will get:- Option (D) -12 sq. Units is correct

Q: Find dy of

A: Use the chain rule of differentiation and simplifie the result.

Q: Show that L₁J - dx x² + 2x + 2 = In(√5-2).

A:

Q: Solve for Fourier coefficient, f (x) = Ssin x 02x2n T >x 22n

A:

Q: Prove that, cosh-'x = In |x + vx² – 1 for x 2 1 -기/

A: This question is based on Cosine hyperbola.

Q: State the two conditions required for performing a paired t-procedure. How important are those…

A: From the question,Paired t-procedure is the dependent sample t-test, is used to estimate whether the…

Q: expanded as odulus of x, the 1-e

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Q: he divergence of the vect-

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Q: Evaluate the line integral S. 4x²ds, where C is the line segment from (-2, –1) to (0,–1) followed by…

A:

Q: (7 - t)/

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Q: Mroset Whiteboard EX2: 3リ-17

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Q: Use Newton’s method to find thezeros of ƒ(x) = 4x4 - 4x2 using the given starting values. x0 = -2…

A: Given:                   f(x)=4x4-4x2   Using the starting value :…

Q: prove that (z(square root 2,+,×)) is integral domain.

A: We have , ℤ2   =  a + b2 / a , b ∈ ℤ We need to show that  , ℤ2 is integral domain. We know that , a…

Q: Use Bisection method to solve (x - 2)¯ - In (x) = 0, [1, 2]

A: Please refer to the image below

Q: Express the first four cumulants in terms of central moments.

A:

Q: 2 = sin5t constitute a fundamenta L

A: Y1=cos5t and y2=sin5t  do not a fundamental set of solutions of differential equations y"+16y=0

Q: Calculate the integral of - e2x -dx. 3x +8

A:

Q: Find the indefinde integrel de |-X~12X-20

A: We can use completing the square to the denominator. -x2-12x-20=-(x2+12x+20)…

Q: x-1 マーメ-1 ーズ

A:

Q: b) Show that 2x2 +8x +14 2(x+2) +3 by completing the square. Hence, evaluate the integral dx. (x…

A: Given that: ∫3(x+2)2x2+8x+14dx

Q: Find the root/s using 1) Secant Method and 2) Regula-falsi Method a. e-* - 3logx = 0 %3D

A: According to our guidelines, we can answer only the first question or three subparts of a problem,…

Q: Evaluate the improper Integral if it is coviverigent dx 4tx 2.

A: To evaluate: ∫0∞dx4+x2

Q: Tirind the root/s using 1) Secant Method and 2) Regula-falsi Method a. e™* – 3logx = 0

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.