<img src="https://tex.z-dn.net/?f=3%282m%20%2B%209%29%20-%201%20%3D%202" id="TexFormula1" title="3(2m + 9)

I am studying for a Calculus test and have the answers for the study guide but I'm having trouble with problems 2, 3, 4 (finding

Mariulka [41]

#2) Use quotient rule
$\frac{f'g - fg'}{g^2}$
Remember for solving log equations:
$e^{ln x} = x$

#3) Derivative of tan = sec^2 = 1/cos^2
Domain of tan is [-pi/2, pi/2], only consider x values in that domain.

#4 Use Quotient rule

#9 Use double angle identity for tan
$tan(2x) = \frac{2tan x}{1-tan^2 x}$
This way you can rewrite tan(pi/2) in terms of tan(pi/4).
Next use L'hopitals rule, which says the limit of indeterminate form(0/0) equals limit of quotient of derivatives of top/bottom of fraction.

Take derivative of both top part and bottom part separately, then reevaluate the limit. <span />

4 0

2 years ago

Which is better 9.95 for 30oz of coffee or 3.50 for 12oz of coffee

MaRussiya [10]

Answer:

9.95 for 30oz

Step-by-step explanation:

30/9.95 = 3.02

12/3.5 = 3.43

7 0

2 years ago

A rational expression has been simplified below

gladu [14]

The x which achieve these statement is x=0.

7 0

2 years ago

Read 2 more answers

Please solve this question withvfull process i will wark as braineast a) After allowing 5 % discount on the marked price of a ra

schepotkina [342]

Answer:

Let the marked price be x

Discount % = 10%

Discount = 10\% \times x = 0.1x10%×x=0.1x

Cost after discount = x-0.1x = 0.9x

10%vat is charged on it

Cost including VAT = 0.9x+0.1(0.9x)=0.99x0.9x+0.1(0.9x)=0.99x

We are given that it's price became rs 1672

So, 0.99x = 1672

x=\frac{1672}{0.99}x=0.991672

x=1688.88

Discount = 0.1x=0.1(1688.88)=168.888

Hence The discount

7 0

3 years ago

The principal would like to assemble a committee of 4 students from the 16-member student council. How many different committees

mamaluj [8]

Answer:

4?

Step-by-step explanation:

4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4? 4?

3 0

3 years ago