The price per barrel of crude oil in the period 1980-2013, in constant 2014 dollars, can be approx P(t) = 0.27t2 -8.6t + 93 dollars (0

Q: Find the difference between CI and SI on $92,000 at 20%p.a compounded semi-annually for 1^1/2

A:

Q: a total eo at an anval interest rate 10 years If it is continously? of $15,000 IS invested Of '3…

A:

Q: If In æ + In(x – 7) = ln(7x), then æ

A:

Q: \text { c. } \begin{aligned}\ln \frac{6 x}{5} &=\ln (6 x)-\ln 5 \\&=\ln 6+\ln x-\ln…

A: Given, \text { c. } \begin{aligned}\ln \frac{6 x}{5} &=\ln (6 x)-\ln 5 \\&=\ln 6+\ln x-\ln…

Q: log(x³) dx

A: Consider the integral: ∫logx3xdx…

Q: 9-8/s when s=4

A: 9-8s

Q: Which of the following is the same as ln(9x) - ln(3x)? (a) ln 6x (b) ln(9x)/ln(3x) (c) 6 . ln(x) (d)…

A: Given: The expression ln9x-ln3x . By using the logarithmic property lna-lnb=lnab, the given…

Q: How many solutions does the equation (In x)² = (In x) have? %3D

A:

Q: 3. Let h(x) = x - 4 and g(x) = x² + 2x A) Find h( g(2)) B) Find g( h(x)) (find the composition of g…

A: Given data :  h(x)=x-4g(x)=x2+2x

Q: How would I calculate the principle value of  ln(-ie)

A: Given, z=lne-i Convert e-i to polar form. For a complex number a+bi  polar form is given by,…

Q: does ln(inf)/(inf)=0

A: the statement is false see below the explanation

Q: Evaluate loge 7 by simpson's (i) 1/3 rd, and (ii) 3/8 th rules.

A:

Q: Fund he lensm of he curce

A:

Q: Find the following: (1) Re[ln(-2)] 17 3+i) (2) Arg () 1+i

A:

Q: 5. log, (MN) =

A: logaMNApply log rule:  logcab=logca+logcblogaMN=logaM+logaN

Q: Simplify ()g))E").

A:

Q: 2Log27+L098 + Logo.125 0.5 3.

A:

Q: 415/5=

A: We have to take division

Q: Simplify sech (3 ln (2x))

A: K=sech(3ln2x)we know sechx=2ex+e-xwe know  elnx=x

Q: 8+3 ln x=6

A: Given: 8+3 ln x=6

Q: Solve e* = 20 for x.

A: we need to solve for x

Q: Suppose that $60,000 is invested at 8% interest, compounded annually. After time t, in years, it…

A: Given : Amount invested  $ 60,000             Interest rate 8%          A(t)= 60,000 (1.08)t…

Q: du / (1 - e")2

A:

Q: ln(ln x)=1

A: Given:

Q: lodine-131 is a radioactive that has a pretty short half life of only 8 days. A sample of lodine 131…

A: Radioactivity equation:                                A = Aoe-λt                      Where, Ao is…

Q: ln(1/121^k)  expand the logarithm

A: We have to expend ln by it's property

Q: 3.8+ln(x+13)=4ln(5.75) x=

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.