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3 years ago

Defferentiate y=Insin(3x)

Mathematics

1 answer:

Levart [38]3 years ago

3 0

Use the chain rule:

$y=\ln(\sin(3x))$

$y'=(\ln(\sin(3x)))'$

$y'=\dfrac{(\sin(3x))'}{\sin(3x)}$

$y'=\dfrac{\cos(3x)(3x)'}{\sin(3x)}$

$y'=\dfrac{3\cos(3x)}{\sin(3x)}$

$y'=3\cot(3x)$

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PLEASEEE HURRYYY

Masteriza [31]

Answer:

(2,-5) and (2,1).

Step-by-step explanation:

We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.

A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.

Standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$

where, (h,k) is center and r is the radius.

$(x-(-2))^2+(y-(-4))^2=(5)^2$

$(x+2)^2+(y+2)^2=25$

Now, put x=2.

$(2+2)^2+(y+2)^2=25$

$(4)^2+(y+2)^2=25$

$(y+2)^2=25-16$

$(y+2)^2=9$

Taking square root on both sides.

$y+2=\pm\sqrt{9}$

$y+2=\pm3$

$y+2=-3\text{ or }y+2=3$

$y=-5\text{ or }y=1$

So, the y-coordinates of the points are -5 and 1.

Therefore, the required points are (2,-5) and (2,1).

8 0

3 years ago

Helppppp pls im stuck on thi one problem :(

Ray Of Light [21]

First, find the simplified ratio of the given ratio:

Number of pirates: 22

Number of ships: 2

Divide 22 with 2 to find the ratio: 22/2 = 11

For every ship there is, there will be 11 pirates.

Now, find the ratio for the other questions:

IF there are 5 ships: 5 x 11 = 55

If there are 5 ships, there will be 55 pirates.

If there are 11 ships: 11 x 11 = 121

If there are 11 ships, there will be 121 pirates.

5 0

3 years ago

Read 2 more answers

Jerry has been staying up late at night to get in some extra study time. He hopes to get accepted into his favorite college and

svet-max [94.6K]

(Answer coming from someone who’s stressed himself)
Upset stomach.
When you’re stressed, you have a higher heart rate, difficulty sleeping, and feeling exhausted the whole day.

3 0

3 years ago

Read 2 more answers

For each of the following studies, say whether you would use a t test for dependent means or a t test for independent means.

Shtirlitz [24]

Answer:

1. T test for independent means

2. T test for dependent means

3. T test for dependent means

Step-by-step explanation:

In number 1, the two groups are unrelated. The first group has 25 subjects and they're all unemployed. The second group has 24 subjects and their employment status is not stated and might not be the same all through. Also, the first group is receiving a new type of job skills program while the second group is taking the standard job skills program.

- The groups in the experiment are unrelated

- The tests in the research are unrelated

- The purpose of the research is unreasonable - the researcher seeks to measure how well all 49 subjects perform on 'a' job skills test! No comparison between the scores or mean scores of the two groups.

In number 2, the researcher uses the same subjects and also measures the same variable but twice. This is a good example of a study where the t test for dependent means can be taken. Same applies in case 3.

5 0

3 years ago

How do I find the values of these

skad [1K]

Since the triangles are similar, then 32 = x+7 those two angles are too
solve for "x"

now using proportions $\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{JK}{18}=\cfrac{12}{12+10}$

solve for JK

$\bf \cfrac{\textit{small triangle}}{\textit{large triangle}}\qquad \cfrac{12}{12+10}=\cfrac{9}{9+KG}\implies 12(9+KG)=(22)9
\\\\\\
108+9KG=198$

solve for KG

the scale factor of the perimeter of both triangles is just the same as the ratio of the sides, or $\bf \cfrac{12}{12+10}$

3 0

3 years ago