Show that S> 0.

Q: dx 3+ Vx+2 x +

A: Here we solve the given problem of integration.

Q: ive non-zero of power s-

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Q: Find the principal value, show your full Solutions. Evaluate sec−1(3-j).

A: Let,…

Q: What is the need of y=mx+b

A: The need of y = mx +b is given in the next step.

Q: * x' V5 -x°dx

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Q: dy りー! り(-)ニ。 x+3 2, xy' =1+X ら(4)=0

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Q: (e) x²y "+xy '- y = 1+x

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Q: Solve the DE f'(x) = 5x given that f(0) = 3. %3D A y +3

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Q: Find dy for given Values OF x and AX y= 4x315x X=-3 and AX = 0.3

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the…

Q: 1. y=x+5 y= 6

A: A system of linear equations is a set of one or more linear equations. Each linear equation…

Q: t Sintcost de

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Q: find Js (x )

A: The Bessel function is a special mathematical function. The Bessel function of the first kind of…

Q: Identify f(x) to be used in variation of parameters to solve for y, e" y" + y' – 3y = x

A: To find f(x) write equation in form of y" + P y' +Q y = f(x).

Q: ^CA)= is MC

A: No Infinity is a value that is very very big.

Q: Evaluate e dy y = - - 5-

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Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: for 1>t >0 for 2>t>1 2t FC) = { }

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Q: dy 15 +4y-042

A: ∫115+4y-4y2dy

Q: If y = (x+1)/(2x - root x' then y' will be?

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Q: +y ntegral %% 0 0

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Q: Minz = S. to X₁ + 2x₂ 2X1- X₁ + 3 X. 7, Xz

A: Introduction: The simplex method is a method for testing vertices as potential solutions in a…

Q: 3 y = (x² +1) ² Find day dx ²

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Q: 4- [10 points] Evaluate Jx²4** dx

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Q: e^3z analytic or not ?

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Q: What is s′(x) when s(x)=5(e^x)^−4?

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Q: S sec*xtanx dx

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Q: dy

A: Use the method of substitution and solve the integral.

Q: T/4 7 Vsec x tan x dx,

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Q: What are all values ofk for which x'dx = 0?

A:

Q: Realize Stoke's theorem

A: Given,        A→=j^x+k^y

Q: dr = a(p- 1)(q-), dt

A: In this question, we solve the given initial value problem dxdt=α(p-x)(q-x)withx(0)=0.

Q: J-in3 ex+4 4. (T/4 3csc22x dx Ja/8

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Q: dx メ

A: One of the important special mathematical functions is the Bessel function. There are two types of…

Q: f(x,y) = x y

A: In this question, we find the volume by using double integral by changing into a polar coordinate.…

Q: The answer for x is correct but the answer for dy is wrong.

A:

Q: 1 y2 y3+3 dxdy 0 0

A: Let I=∫01∫0y2y3+3dxdy

Q: a) Let y" + xy' + y = 0 be given. Why does the approach y(x) := e^× does not work?

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Q: dx 2/3 Thtegrate -27 3)

A: Given: ∫-278dxx23 To determine: The value of given integral. Formula used: ∫xndx=xn+1n+1+C

Q: (2) S 1 x= V1-x²

A: Solution

Q: The between cuefficient of corteletion X and'y のメー ag and and の2=114 what is constant a2 where x…

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Q: Write down a solution to y' = 4(y − 5) that tends to −∞ as t →∞.

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Q: Solve for y when x=o degrees: y=2sinx

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Q: Differentiate with respect to t 100 = x2 + y2

A: give equation ;- 100=X2+Y2 when we differentiate above equation with respect to t , we get

Q: Find the extrema of (x+1)(y+1)(ax+by+c) Where a is the third last digit , b the 2™ª last and c the…

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Q: What is the measure of XY? 1S

A: Measure of arc XY is the central angle subtend by it .

Q: |(ana + Ct%)よx

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Q: ationalize the d V49

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Q: Compute Δy/ Δx for the interval [2,4] where y = 5x−7.

A: ∆y∆x for function y=f(x) for the interval [a,b] = f(b)-f(a)b-a

Q: find k value dx = 1

A: We need to find the value of k of the following relation.                 So,…