What causes the graph of y = xto open downward? O Multiply the x by a fraction Multiply the x- by a negative O Multiply the x by a number greater than 1 Multiply the x2 by a decimal

Q: Vx² -a² dx

A: Given integration is ∫x2-a2dx. Consider x=a sec x.

Q: p(x) (x - 4 + Dx -4 - )(x - 4)

A: To find P(x)=x-4+ix-4-ix-4 We will use the concept of distributive law to find this.

Q: Lim (x?-zx+3) メーフト 2こ

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Q: 9 J-

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Q: Find the slope: O 4/3 O 3/4 O 4/3 O o O O

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Q: 7.fGl=3x Jメ-16

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Q: 3 (3+ x 2) 512

A:

Q: Find the zeros for the relation below. y = 16x – 64 I| O 8 and -8 O 2 and -2 O 2 and 2 O -8 and -8…

A: By equating zero to the equation

Q: Find the domain

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Q: None

A: Step 1: Step 2: Step 3: Step 4:

Q: lim ( ) is 1-2 3x-2x O a. 10 O b. 22 O C.-22 O d. -10 O O O

A:

Q: dx 2x? + 5x +1

A: Solution:given   ∫dx2x2+5x+1formula∫dtt2-a2=12aln|t-at+a|+c

Q: Find all possible values of y if (-,y) lies on the unit circle. Give your answer in the form of a…

A: Note that the equation of the unit circle is given by x2+y2=1

Q: Rewrite as a polynomial plus a smaller rational function... 3x2 + 4x – 72 I - 5

A: A detailed solution is given below.

Q: Find all values of x for which rank(A) = 2. 1205 A = x= 0 2 7 x 19 -3 -3 -2 -6

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Q: V5. 1 Determine the value of x using the diagram provided.

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Q: In a town whose population is 4,000, a disease creates an epidemic. The number N of people infected…

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Q: FinD Z 1. to #a-z°

A: Givenz=-2

Q: Step 6: Chose a new value h = (other than –1,0 or 1). Write this as a factor (x – h). a. If this…

A: (a) Add (x+3) tot he numerator of the given function . f(x)=2(x-4)(x-5)+(x+3)(x-3)(x-4)…

Q: difference quotient... √2-17

A:

Q: Q2. Find the area enclosed by the function et and the x-axis . GOOD LUCK Dr. Falah Sh. Khalifa

A: Given : f(x) = ex

Q: A very aggressive tumor is growing according to the function N(t) = 2¹, where N(t) represents the…

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Q: dx Evaluate 3x – 12 + 00 00 O 1 8 8

A: On solving this we will get

Q: 1. Simplify. Write each answer with positive exponents only. -7a (x )(x² a) (-6xy^²)³ (3x³y)* b)…

A: Given expressions,  a) -6xy-233x3y-74b) x-7aya+8y4a-1x2+5ac) 81x-8y1634d) a24b-66a65 Use the basic…

Q: y = 5* – 8

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

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

A: The figure is given by

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.