1. Solve the following equations: (a) x² + 3x -4 = 0, (b) 102²+1 = 10000, (c) sin(x) = 0.5.

Q: d [x² +1] dx x4 d dx -[(x² + 1)5⁰]

A: Topic = Derivative

Q: -sin(2x)= (D²-1) -sin(2x) <-125

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Q: solve for y=3 (Find all solutions)  y = 2+5cos((pi/7)(x+1))

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Q: 4. Solve sin (2-) = 1.

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Q: Evaluate § A² B³ dx where A = sin(f(x)), B = cos(g(x)), and f(x) = g(x) = 4x.

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Q: Q3: Solve X dy dx +34 Sinx X

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Q: 1 -sin(2x)= (D²-1) -sin(2x) <-125 true Error

A: In this question we have to find the solution of the given solution.

Q: Tan (  pi/2 - x ) =

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Q: Solve (D² + 4)y = 2 tan x ; x>0 , D= 4?

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Q: How do you solve sin(2x) - sin(x) = 0?

A: Given, sin(2x) - sin(x) = 0

Q: d) Solve the equation for all roots x' +1 = 0

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Q: #9. Showing work, evaluate the following determinant by using the properties of elementary row or 2…

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Q: (x) = x) = 2sinx coSx %3D d f(x) = (2sinx)( – sinx)+ (cosx)(2cosx) dx

A: Given that fx=2sinxcosxTo find ddxfx

Q: Q: Solve y+8= Cos (x) ナ3sin(2x)

A: Given: y''+y=cos x+3 sin 2xCE: m2+1=0⇒m=±iCF: e(0)x( Acos x +B sin x)=Acos x +B sin x

Q: x+3 dx 1-x2

A: This problem can be solved using the concept of integration by substitution.

Q: sin(3x - 2) csc(4x + 3)' dM solve for dr

A: Here we can find the derivative as below with respect to x

Q: 4e2x S sin(e²x) dx

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Q: Solve cosh(z)=1/2

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Q: 14х + 1 d 2 — 7х — 4х2

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Q: tan(0.2x - π)= -9

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Q: Solve cos(2x) + cos(x) = -1

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Q: If sinhx=-1÷2,then coshx is

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Q: sin cot-1 (2/20 CSC 2π 3

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