Part A: Identify the zeros of the following polynomial function: f(x) = -x(x + 2)(x – 2)(x + 1)

Q: What is the exponential form of the expression y= In(x + 1)? A e = x + 1 (B elx + 1) =y © ye = x +1

A:

Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: (4) VL1, L2 ((L1 UL2)* = L₁* U L₂¹).

A: This is always True

Q: S()ム 3/2 (a²

A: Explanation of the answer is as follows

Q: 8. Rewrite VVd*in exponential form.

A: dxmk=(dx)1mk              = dxmk             =dxm1k

Q: 4) 19-17-log₂ (2x+4)

A:

Q: (4³ + 6)%,' = x^(,5 + 6)5 y

A:

Q: (-1)"(36)" (2n)! Use a McLaurin's to find round your answer to four digits after the decimal sign.…

A: By using a MacLaurin's to find.

Q: 11.) 6log, b – źlog2 d 12.) log:(4log, a) 13.) – log10 5 + 4 log10(x – 3) + 2 log10 y –÷ log10 6 |

A: The objective of the question is express each as a single logarithm.

Q: 2 1. Express log,(64 x v64*) + log, (46 V256. 43 logarithm

A: Using log44 = 1

Q: Condense 2. Conden se into a single logarithm. 2) log x+log y+ 3log z O a) logxyz3 O b) log(xy/z³) O…

A:

Q: 35) logs 3

A: We have to expand the logartithm.

Q: Expand logarithm. 3) log , (x - y -z') O a) loggx+log&y+loggz O b) 5loggx+5loggy+5loggz O c)…

A: Using rules of logarithm to expand given expression.

Q: 1 00 1 1 00 3 -1 0 1-1 1 10 1 S =

A: solution is given below

Q: Let H = {(1), (12)(34), (13)(24), (14)(23)}. Find the left cosets of H in A4 (see Table 5.1 on page…

A: Given H = (1), (12)(34), (13)(24), (14)(23) in A4 H =4and A4 =4!2 =12 So , Number of distinct left…

Q: log32435

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: Show that the multi-period logarithmic return is additive

A: To show that the multi-period logarithmic return is additive:

Q: 10. Prove that (log2 3)-1+ (log4 3)-1 < 2.

A: Simplify the powers of the term (log23)-1+(log43)-1 by writing the terms as fractions.…

Q: E (3x(9 ^ b) V Jaæ(p ^ 0)) = 3x(p A (4 V 0))

A: To prove ⊢(∃x(φ∧ψ)∨∃x(φ∧θ))≡∃x(φ∧(ψ∨θ)) Here we have to use existential quantifiers i.e. notation of…

Q: Find m/X

A: Given Right angled triangle To Evaluate m∠X=?

Q: Select all of the expressions that are equivalent to O U O U U log, (81) 81 log (1) 9 log₂ (9) log$1…

A:

Q: ſ csc' xdx

A: Solution is written in below steps.

Q: 1 1 + log, N' log, N 1 1 + log, N log 100 N where N = (100!)³

A:

Q: 1001110011100012 + 1000100102 + 100111000102 + 10000001112 + 10111101001002 = %3D 16

A:

Q: Prove algebraically that  A+A'B'=A+B'

A: We have to prove algebraically that  A + A'B' = A + B' We know that, the distributive property  A +…

Q: 3x'e* (x* +1)* 3e a) -+C 2(x² +1) 3e* b) 2(x² +1) +C x? +3 x +1 3 c) +C .2

A:

Q: How was the birth calculus attained?

A: Calculus was borned, rather developed independently by Newton and Leibniz, this marked as one of the…

Q: (8.1) Find the value of r (in terms of In) and then write down the equation of the function N that…

A: The power rule of natural logarithm/logarithm states that: Also, the natural logarithm of…

Q: ange the functions √, 1000 log n, n log n, 2n!, 2",3", and 1,000,000 in a list so that each function…

A:

Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

A:

Q: paper 2 4. INDICES AND SURL 2019 N FUNCTIONS + INDICES AND SURDS Q2 Do not use a calculator in this…

A:

Q: 2. log (3) + log (9)

A:

Q: Convert the quadratic into standard forms showing work to change forms. Then, state the roots and…

A: we have to find

Q: properties of logarithms to

A: Use properties of logarithm to expand the given expression Explanation:(1) We know that by quotient…