In WA, you can enter sec2(x) either by typing sec²(x), (sec(x))², or sec(x)2. Therefore, be aware of the difference between sec(x2) and sec(x)?. We must remember this syntax for this course. (a) Enter sec?(x). (b) Enter sec(x?). (c) sec2(x) Select your answer sec(x2). (d) sec2(x) Select your answer sec(x)2.

Q: Domain of:  Csc(x)+2

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Q: (b) x? - x - 6 >0 (

A: First, factor the left side of the inequality x2-x-6>0. Split the middle term -x such that the…

Q: In the following examples, some mistakes have occurred. Identify the mistakes and make corrections.

A: The given function is,

Q: . Expand: (i) (2x - 3y)4

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Given f(x)=2+3x-x² a) (fg)(x) and g(x)=2x-1 evaluate each of the following. b) (fog)(x) c) (gof)(x)

A: The given function is To find:-

Q: acosa (x)+-5sin (x)-4-O

A: Consider the equation,

Q: For x2 + Bx + C = (x + a) (x + b), which of the followingmust be true?(a) ab = B and a + b = C(b) a…

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Q: 10-4(x-1)=2-x

A: The objective is to solve the above expression.

Q: x2 - 9 simplifies to x? – 1. 9. True or false:

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Q: How would you convince someone that x6/x2 is x4 and not x3?

A: Given expression:                                 x6x2

Q: [A(BxC) = -(AxC)xB -(A*B)-C -(AxC)-B

A:

Q: For the functions f(x) = 7x + 4, h(x) 10 - 3 and g(x) %3D Зх — 2 (a) Evaluate (i) g(4) (ii) h{g(4)}…

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Q: How does x over 3-1 change into x-3 over 3, is it a rule?

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Q: A dartboard has 8 equally sized slices numbered from 1 to 8. Some are grey and some are white. The…

A: The slices numbered 5, 6, and 7 are greyThe slices numbered 1,2, 3, 4, and 8 are white…

Q: Since it is known that x2 + y? = c², write the expression below in terms of c2 -2(x8+ y®) + 28(x6+…

A: -2(x⁸+y⁸) = -2{(x⁴+y⁴)² - 2x⁴y⁴} = -2{(x²+y²)² - 2x²y²}² + 4x⁴y⁴ = -2(c⁴ - 2x²y²)² + 4x⁴y⁴ = -2(c⁸ -…

Q: How does SN (1-r) = 1-√²+1 What are the operational rules of subscripts?

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Q: If C(x) = 9x² - 8, find the following. (a) C(0) (b) c(-1) (c) C(-3) (d) ((--)

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Q: (x+2)(y-2)=(x-9)(y+5)

A: Open the bracket, we getxy - 2x + 2y -4 = xy +5x - 9y -45

Q: 5x-2x-19 9) Evaluate (x+3(x-1)

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Q: x(3-5х) J - (3x-1)(х-1)* # 2) Evaluate: -dx-

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Q: For x# 0, the expression can be written as (1) 1 (3) x (2) x2 (4) x

A: Given expression: x63x4 The term x63 can be written as x613. The term x4 can be written as x412

Q: Simplify (z+1)²(3xy²)3 (9y²) 2x-³(z+1)-1

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Q: h(x) = [(x2 - 9) / (x - 3) if x ≠ 3 or 6 if x = 3]. Evaluate : a. h(5)           b. h(0)…

A: We have to evaluate the following: a. h5          b. h0        c. h3 Where function is hx=x2-9x-3 if…

Q: Why were the x and y terms broken down in the second line? 2(9)x and  -2(4)y

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Q: 3. Compute and completely sin (a) f(x) = 7-x+2x²

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Q: 7.) (3x)-(4X -5) 8)(x-1)(2x) 8.)(x-1)(2X

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Q: 8) Use f(x) x-4x +2 and g(x) 5x-4 for the following a) Find S-g b) Find (flg)(x)and give the domain…

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