Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example,       y = x2) and show all stages. Be sure to show at least three key points. Find the domain and the range of each function. g(x) = x3 - 1

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Q: 5

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Q: (b) Given that f(x) = g(x') (2) =3 and g(2) =5, find the value of

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Q: Question 7

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Q: Challenge #6: Simplify (5× 10")(6 × 10³) 1 x 100

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Q: use the method of completing the square to solve each quadratic equation. x2 + 7x + 2 = 0

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Q: Find the distance dP1, P2 between the points P1 and P2.   P1=(2,−2)​; P2=(1,3) dP1, P2=nothing...

A: Please see the explanation below

Q: Solve the following quadratic equations using the quadratic formula: (5x + 20x + 32 = 0)

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Q: The cost of an item is given by the formula: c=p+t, where p is the price and t is the sales tax. Fin...

A: c=p+tc=$49.32p=$47.10t=?So, 49.32=47.10+tt=49.32-47.10t=2.22Tax paid on an item is $2.22

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Q: Simplify ( this is not optional!)

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Q: Please

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Q: Identify the domain

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Q: Find the general solution for the linear system represented by the augmented matrix B, below. 1 3 0 ...

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Q: prove :

A: As this is 0/0 form  so use L'hopital's Rule.

Q: ス→5 XヌX +10 O lim (2-h) -S O lim 4-x X-02 3-Vx45 Al X+8 lim VX -2 O lim x +5-V5 X→y X-9ン メ>ト メーやース X...

A: Now , we will find the value of limit  .

Q: 8

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Q: Question 10

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Q: (b) prove each set identity (a) (AN B)U (ANB') = A (b) AUB = (ANB')U(A' N B)U(ANB)

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Q: Rationalize the denominator: V2 + V3 + V4

A: Rationalize is the process of removing radical or imaginary numbers from the denominator.

Q: Solve the triangle(s) with the given information: y = 41.2°, c= 8.1, b = 10.6

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Q: Find the (2,4)-entry of the reduced row echelon form of the following matrix: 1 2 -1 3 0 2 4 -2 0 0 ...

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Q: Find dy/dx for the following functions i)x=3 cos t-2cos3t ii)y=3 sin t-2 sin3t

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Q: dy dx for the functions x = a(cost + tsint) , Find al sint t – toost) tcost

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Q: a.) 25 = 5- 42t b.) 2h-8 = 6 c.) 7 log k = 21

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Q: Exercise 1 Solve the system using Gaussian elimination 1) 3x3 = -2 %3D 3.r1 + x2 – 2.r3 = 5 - 2x1 + ...

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Q: Find a polynomial with leading coefficient 1, degree 5, zeros i and 5 – i, and passing through the o...

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Q: For the function below ... the range * ?is (x + 3)3 y = (x² – 9)

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.