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2 years ago

Differentiate \[\ln \sin^2 x\]

1 answer:

7 0

Y = ln {[sin(x)]^2}

use the chain rule

y' = 1 /[sin(x)]^2 * 2sin(x)*cos(x) = 2cos(x) / sin(x) = 2 cot(x)

Answer: 2 cot(x)

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The ordered pairs (1, 1), (2, 8), (3, 27), (4, 64), and (5, 125) represent a function. What is a rule that represents this funct

Zarrin [17]

The functions would be:

D. y=x³

We can check it out.

(1,1); x=1; y=1 ⇒1=(1)³=1*1*1=1
(2,8); x=2; y=8 ⇒8=(2)³=2*2*2=8
(3,27); x=3; y=27 ⇒27=3³=3*3*3=27
(4,64): x=4; y=64 ⇒64=4³=4*4*4=64
(5,125); x=5; y=125 ⇔ 125=5³=5*5*5=125

8 0

2 years ago

Explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

m_a_m_a [10]

Answer:

Solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

Step-by-step explanation:

We need to explain weather 14t-3t is equivalent to 3t-14t. Support your sender by evaluating the expression for t=2.

<em>Equivalent expressions are those that have same values for any value of variable substituted.</em>

Now, We check if our expressions are equivalent, by evaluating the expression for t=2.

If they are equivalent, they would have same result after evaluation.

First, put t=2 into 14t-3t

$14t-3t\\Put\:t=2\\=14(2)-3(2)\\=28-6\\=22$

Now put t=2, into 3t-14t

$3t-14t\\Put\:t=2\\=3(2)-14(2)\\=6-28\\=-22\\$

For solving 14t-3t we get 22 and 3t-14t we get -22

So, 14t-3t is not equivalent to 3t-14t.

6 0

2 years ago

A company has two large computers. The slower computer can send all the company's email in 35 minutes. The faster computer can c

Naddik [55]

The rate for the first is 1 job / 35 minutes and for the second is 1 job / 15 minutes. So combined we get

r = 1/35 + 1/15

3×5×7r = 3 + 7 = 10

r = 10/(105) jobs per minute

We're interested in 1/r

1/r = 105/10 = 10.5 minutes per job

Answer: 10.5 minutes

4 0

2 years ago

Find g(1) if g(x) = x 2 + 1.

Genrish500 [490]

Answer:

g(x) = x^2 + 1

if x=1

g(1) = 1^2 + 1

g(1) = 1 + 1

g(1) = 2

8 0

2 years ago

Read 2 more answers

Find the value of x inscribed angles

Rudik [331]

Answer:

x = 84°

y = 96°

Step-by-step explanation:

By tangent secant theorem:

$x = \frac{1}{2} \times 168 \degree \\ \\ x =84 \degree \\ \\y = \frac{1}{2} \times (360 - 168) \degree \\ \\ y = \frac{1}{2} \times 192 \degree \\ \\ y = 96 \degree$

5 0

2 years ago