All categories

4 years ago

If y=2cos(x/2) then d^2y/dx^2 =

1 answer:

5 0

We first need dy/dx.

dy/dx = -2sin(x/2)(1/2)

dy/dx = -sin(x/2)

We now find d^2y/dx^2.

d^2y/dx^2 = -cos(x/2)(1/2)

d^2y/dx^2 = -(1/2)cos(x/2)

You might be interested in

I dont understand this please help <br><br> 25y−4+7−910y =

serious [3.7K]

You have to combine like times then solve the equation sooo.....
-910y+25y=?
-4+7=?
So whatever those answers, you will use them to make your new equation to find what y equals.

Hope this helps!

5 0

3 years ago

Read 2 more answers

The director of a state agency believes that the average starting salary for clerical employees in the state is less than $35 c

MrRissso [65]

Answer:

There is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, $\bar{x}$ = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}$

We use one-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571$

Now, $z_{critical} \text{ at 0.10 level of significance } = -1.28$

Since,

$z_{stat} > z_{critical}$

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that average starting salary for clerical employees in the state is less than $35,000 per year.

3 0

3 years ago

Please help for brainliest.

alex41 [277]

Answer:

Step-by-step explanation:

4 0

3 years ago

The price of a pair of shoes increases from $65 to $81. What is the percent increase to the

andriy [413]

Answer:

Percent increase = 25%

Step-by-step explanation:

Given that:

Old price of shoes = $65

New price of shoes = $81

Difference = 81 - 65

Difference = 16

Percent increase = $\frac{Difference}{Old\ price}*100$

Percent increase = $\frac{16}{65}*100$

Percent increase = 0.246 * 100

Percent increase = 24.6%

Rounding off to nearest whole number

Increase = 25%

Hence,

Percent increase = 25%

4 0

3 years ago

Quadrilateral A has side lengths 3, 4, 5, and 6. Quadrilateral B is a scaled copy of Quadrilateral A with a scale factor of 2. S

Natasha_Volkova [10]

Answer:

B Hope this helps!

Step-by-step explanation:

5 0

3 years ago