2. Which of the following is the domain of y sec(x)? %3D A. [-1,1] B. R- (n+ 1) C. IR D. [-1,0}

Q: Consider the points A(2, a,0), B(0,1,B),C(1,1,B) where aand Bare negative real numbers. Find a and…

A: To add or subtract, two or more vectors add or subtract the corresponding components of each vector.

Q: 2X dy xp b.yoşe + Ce 3.

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Q: 1. Find 2(3z + 4)² dz.

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Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: +). L x-1 dx -1x2+1

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Q: nclosed by x = y, x = 2 - y and the x-axis?

A: And: 5/6

Q: Find dy. y = x| 13 dy = (Simplify your ans × |5

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Q: .2 dx Jo (9 + x²)2

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Q: 5. (2x + 3V )dx 2х + 3уx

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Q: 2- Show that: -1 xb-1 In x dx b2

A: See the attachment

Q: .2 dx 6. (x-1)3

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Q: -1 -x d. Let A = 2 2 1 2 i. |A| =

A: Given that: A=-x-1-xx2x212

Q: Q3. Evaluate S 2x+1-5x-1 dx 10*

A: Given that ∫2x+1-5x-110x dx evaluate the integral

Q: S. For x #9, X- 3)* -? (x-3) - ? x²-9 A A -1 - 3 1 C T-3 z+3 T-3 I+3 DE

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Q: 2 D²y+y=secx²

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Q: 4. (x? — у?)dx — 2хydy %3D 0

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Q: dx. x2 V1+ x2 Evaluate

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Q: x- dx = %3D

A: Given:

Q: Evaluate f x²n. x2n-1 x + 1 dx.

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Q: 3. Evaluate ry? dz dr dy.

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Q: .(Зx? — у) ӑх — (хаy - 2ydy) %3D 0

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Q: dy 10. y/2ay – y²

A: To integrate∫dyy(2ay-y2)

Q: Q.2: Evaluate: -2 2 dx 1 I = x2 - 8.

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Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.