1. a) Find , if y= (x² – 11)“ dx b) Express (8/30) (2Z60) in the form a+ bi c) Solve (2+3) +3/- x+iy d) Evaluate (1+54(2-2)

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A:

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A:

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A: To evaluate the following integral.∫x4 dxx2+92

Q: f(x) = 13x + 4 a.) f(-3) b.) f(4)

A: topic - functions

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A:

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A: We will use the exterior angle property of a triangle that states that an exterior angle is equal to…

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Q: y = (2x+5) (x-4) y = (4x³- 5x)³ 11. y = 10. ƒ(x) = 2x-1 x+6

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Q: how many zeros are in the solution to the function g(x)=x2-3x+4

A: SOLUTION-

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Q: If fx) = |3x| – 10 and g(x) = 2x³, what is (g ° f(-2)? %3D

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Q: 9) Find GH 11 G 4x -1

A: The figure is given by

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A: To find out the definite integral.

Q: 2x+3x₂-x₂ = 7 3. Use Cramer's rule to solve 3x, -5x₂ =4 x₁ + x₂ = 5

A:

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

A: Given that: (b) y=exx2(c) y=cosx2+1(d) y=2x2x+1 The quotient rule of derivative is…

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A: Given query is to find inverse t.

Q: f(x) = 5x + 2 a.) f(-2) b.) f(5)

A: To find the f(-2) and f(5)

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.