Using the tree diagram what is the probability that a player will reach Level 2 with the bonus?

Find the limit. Use l'Hospital's Rule where appropriate. If there is a more elementary method, consider using it. lim x → (π/2)+

Otrada [13]

Answer:

The limit of the function at x approaches to $\frac{\pi}{2}$ is $-\infty$ .

Step-by-step explanation:

Consider the information:

$\lim_{x \to \frac{\pi}{2}}\frac{cos(x)}{1-sin(x)}$

If we try to find the value at $\frac{\pi}{2}$ we will obtained a $\frac{0}{0}$ form. this means that L'Hôpital's rule applies.

To apply the rule, take the derivative of the numerator:

$\frac{d}{dx}cos(x)=-sin(x)$

Now, take the derivative of the denominator:

$\frac{d}{dx}1-sin(x)=-cos(x)$

Therefore,

$\lim_{x \to \frac{\pi}{2}}\frac{-sin(x)}{-cos(x)}$

$\lim_{x \to \frac{\pi}{2}}\frac{sin(x)}{cos(x)}$

$\lim_{x \to \frac{\pi}{2}}tan(x)}$

Since, tangent function approaches -∞ as x approaches to $\frac{\pi}{2}$

, therefore, the original expression does the same thing.

Hence, the limit of the function at x approaches to $\frac{\pi}{2}$ is $-\infty$ .

5 0

3 years ago

Levers are not a problem in the mechanical system. But, if you put two different simple machines that do not cooperate, they wil

Talja [164]

What was that? F maybe

6 0

3 years ago

Read 2 more answers

(HELP ME PLEASE!!!!!! IT HAS PICTURES!!!!!)The edge of each cube used to build this rectangular prism is 1/3 inch long. Which eq

Aleksandr-060686 [28]

Answer:

Option B

Step-by-step explanation:

step 1

Find the number of cubes in the prism

$(3)(2)(3)=18\ cubes$

step 2

Find the volume of one cube

The volume of one cube is equal to

$V=b^3$

where

b is the length side of the cube

we have

$b=\frac{1}{3}\ in$

substitute

$V=(\frac{1}{3})^3$

$V=\frac{1}{27}\ in^3$

step 3

To find out the volume of the prism , multiply the volume of one cube by the number of cubes

so

$V=(\frac{1}{27})18$

$V=\frac{18}{27}\ in^3$

simplify

$V=\frac{2}{3}\ in^3$

8 0

3 years ago

What is 5 1/2 × 2 1/3

Elanso [62]

Answer: 77/6 Answer as a mixed number: 12 5/6

7 0

4 years ago

Read 2 more answers

Can someone help me for this question please? Why I got wrong answer. ASAP!!!

Snowcat [4.5K]

Answer:

a=8.06

A=29.74

B=60.26

Step-by-step explanation:

This is a right angled triangle and Pythagoras theorem is to be obeyed.

To get c, we follow the Pythagoras rule that says

Hyp² = Opp² + Adj²

c= Hypotenuse

c²= a² + b²

c² = 4² + 7²

c² = 65

c = √65 = 8.06

For angle A,

the opposing side to the angle = a = 4

The adjacent side to the angle = b = 7

Following trigonometry rule.

Tan A = opp/adj

Tan A = 4/7

A = Tan–¹(4/7)

A = 29.74°

For angle B,

Opposing side = 7

Adjacent side = 4

Tan B = 7/4

B = Tan-¹(7/4)

B = 60.26°

5 0

3 years ago