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

Q: -sin(2x)= (D²-1) -sin(2x) <-125

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Q: Solve the equation (2) - sin-¹(3x)-cos-¹(2)

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Q: y (3x² √ + 1 ) dx = (-) dy solve exact equation

A: Step 1: Step 2: Step 3: Step 4:

Q: Find all solutions to the equation: sin²(x) + cos(x) = -1. π (A) x = (+2mn) (B) x==²=², 6' (D)…

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Q: (G-) Simplify tan to a single trig function using the sum or difference of angles identity.

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Q: Solve (D5 – 2D4 + 4D³ – 8D²) y = 48e-2 16 sin (2x) - = A- B I = E E E P & O

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Q: Solve 424 sin2 x-1 1 for x e (0,).

A: Note:

Q: Find the roots of 3 cos (x)-x2=-10.

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

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

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

A: Given that fx=2sinxcosxTo find ddxfx

Q: 2- Solve the equation for x : Cosh x = Sinh x +1/2.

A: We need to find out the value of x. The given equation is Cosh x=Sinh x+12 Now,  Cosh x=ex+e-x2  and…

Q: Solve: y (cosx)= (9+ y²)

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Q: x+3 dx 1-x2

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

Q: Show that the equation tan(x)=1−x has a real solution.

A: Using Newton raphson method.

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: Find all solutions Cos(x/2)-cosx = 0

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Q: Solve -8 sin(0)+3=4/3+3 over 0 <0< 2n. %3D

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Q: find all solution  sinh(2z)=-1

A: Given:sinh2z=-1

Q: The value of I sin4xx |dx is equal to (a) 0

A: To find: ∫01sin4πxdx

Q: b) Solve: (sinx+y)dx + (x + cos y)dy = 0

A:

Q: #1) Solve: 2 cos²x − cos x = 1 on [0,2π) —

A: Given ,  2cos^2(x) - cos(x) =1 on [0,2pi)   Substitute  u  for  cos⁡(x) .  2(u)2−(u)=1…