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3 years ago

Find the limit as limit x->0, tan2x/x

1 answer:

3 0

We are given with the expression tan2x / x and asked to evaluate the expression to limit as theta approaches zero. In this case, we substitute first zero. The answer is zero over zero. This is indeterminate so we derive the terms accdg to L'hopital's rule. The derivative is 2 sec^2 2x/1. cos 2x is 1 so is sec^2 2x. Hence the answer is 2.

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Please help it would be much appreciated!!

AlekseyPX

Answer:

a) P) 0.25 = 1/4 both

b) P) 0.75 = 3/4 one

c) P) 0.25 = 1/4 none

Step-by-step explanation:

4 routes to D + H

6 routes to H + S

= D H S

4 | 6

- 2 | -3

= 2 | 3 = route 1 = 2/4 and route 2 = 3/6

= 1/2 route 1 and 1/2 route 2

Answer a ) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability

Answer b) = 1- (1/2 x 1/2) = 1- 0.25 = 3/4 = 0.75 probability

Answer c) = 1/2 x 1/2 = 0.25 = 1/4 = 0.25 probability

3 0

3 years ago

A fuel tank contains 1 3/4 gallons of gasoline. Casey adds 33 1/3 gallons of

romanna [79]

Answer:

The gallons of gas the tank contain now is 35 1/12.

Step-by-step explanation:

Given:

Fuel tank contains 1 3/4 gallons of gasoline.

Casey adds 33 1/3 gallons of gasoline to the tank.

Now, to find the total gallons of gas the tank contain.

Converting the mixed fractions into improper.

Gallons of gasoline in fuel tank $=1\frac{3}{4}=\frac{7}{4}$ .

Gallons of gasoline Casey adds $=33\frac{1}{3} =\frac{100}{3}$ .

According to question:

By adding we get the total gallons of gasoline now tank contain:

$\frac{7}{4} +\frac{100}{3}$

$=\frac{7\times 3+100\times 4}{12}$

$=\frac{21+400}{12}$

$=\frac{421}{12}$

$=35\frac{1}{12}$

Therefore, the gallons of gas the tank contain now is 35 1/12.

5 0

4 years ago

Etta buys some ribbon and cut it into seven pieces that are the same length each piece is 9 inches long how long was the ribbon

zavuch27 [327]

7 pieces x 9 inches long = The ribbon was 63 inches long.

3 0

3 years ago

Read 2 more answers

A coin is tossed seven times and the sequence of heads and tails is observed. what is the number of different outcomes having ex

Margaret [11]

You could make a tree diagram
H T ← 1st toss

H T H T ← 2nd toss

H T H T H T H T ← 3rd toss
etc ,,, then count the combination of favorable outcomes

Using a calculator:
Total number of outcomes is $2^{7}$ = 128
Probability of getting exactly 3 heads is found using the follow calculator feature: binompdf(7, 0.5, 3)

ANSWER: Typed into the calculator as follows binompdf(7,0.5,3)×128 = 35

7 0

3 years ago

Lucy had 1/3 of an hour to make a sandwich and change her clothes to get ready for her piano lesson. If she spends the same amou

LekaFEV [45]

Answer:

Step-by-step explanation:

i believe its 1/3 divided by 3 if im not wrong

3 0

3 years ago