All categories

3 years ago

Lim x->0 of tan6x/sin2x ?

1 answer:

7 0

The limit of the function tan 6x/sin 2x as x approaches zero is determined by first substituting x by zero. This is equal to zero over zero which is indeterminate. Using L'hopital's rule, we derive each term in the numerator and denominator separately. This is equal to 6 sec^2 x / 2 cos 2x. when substituted with zero again, the limit is 1/2.

You might be interested in

A figure that has been turned has been

Anna71 [15]

Hm.. I think its rotated

8 0

3 years ago

Can someone explain why A is the right answer to this question? I'm unsure of how to work out this problem.

joja [24]

So firstly, we have to find the radius of the circular garden before finding the circumference (the amount of fencing needed to surround the garden). To find the radius, use the area formula ( $A=\pi r^2$ ), plug in the area of the garden (36 ft^2) and solve for r as such:

$36=\pi r^2\\ \frac{36}{\pi}=r^2\\ \frac{\sqrt{36}}{\sqrt{\pi}}=r\\ \frac{6}{\sqrt{\pi}}=r$

So that we know the radius, plug that into the circumference equation ( $C=2\pi r$ ) to solve:

$C=2\pi*\frac{6}{\sqrt{\pi}}\\ C=\frac{12\pi}{\sqrt{\pi}}\\ C=12\sqrt{\pi}$

Your answer is A. 12√π.

4 0

3 years ago

What is the slope of a line parallel to the line containing (-6,1) and (3,-2)

timama [110]

Answer:

$m = -\frac{3}{9}$

Step-by-step explanation:

Use the following formula:

slope: $m = (y_{2} - y_{1})/(x_{2} - x_{1})$

Let:

$(x_{1} , y_{1}) = (-6 , 1)\\ (x_{2} , y_ {2}) = (3 , -2)\\$

Plug in the corresponding numbers to the corresponding variables:

$m = \frac{-2 - 1}{3 - (-6)}\\\\m = \frac{-3}{3 + 6}\\\\m = \frac{-3}{9}$

$m = -\frac{3}{9}$ is your answer.

3 0

4 years ago

Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove tha

Aleksandr-060686 [28]

Answer:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.

Solution to the problem

We assume that we have the following statistics:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

5 0

4 years ago

Five-sixths of b is added to 7

Strike441 [17]

The answer would be 7+5/6b

5 0

4 years ago

Read 2 more answers