Answer:
C:30
Step-by-step explanation:
11 x 3 = 33
4 x .75 = 3
3 - 33 =
30!
Hi there!
Parabola x² = 12y
→ x² = 4ay
→ 4a = 12
→ a = 12÷4
→ a = 3
So, the co-ordinates of the focus is:-
S(0,a)=(0,3)
→ Let AB be the latus rectum of the given parabola.
→ Coordinates of end-points of latus rectum are (-2a,a), (2a,a)
→ Coordinates of A are (-6,3), while B's coordinates are (6,3).
→ ∆OAB are O(0,0), A(-6,3), B(6,3)
Area of ∆OAB is :-
(<em>Solving part attached as image</em>)
=> <u>1</u><u>8</u><u> </u><u>unit</u>² is the required answer.
((10^x)^3)+4=129 subtract 4 from both sides
((10^x)^3)=125 to cancel out the 3rd power, cube root both sides
∛((10^x)^3)=∛125
10^x=5 use logarithms where 10 is the base (cant figure out how to write it in)
log5 = x plug into calculator log5
x=0.69897
Hello Meggieh821, to find the lim as x approaches 0 we can check this by inserting a number that is close to 0 that is coming from the left and from the right.
For instance, we can find the lim by using the number -.00001 for x and solve
<span>csc(3x) / cot(x)
</span>csc(3*-.00001) / cot(-.00001) = .333333... = 1 /3
We also need to check coming from the right. We will use the number .00001 for x
csc(3x) / cot(x)
csc(3*.00001) / cot(.00001) = .333333... = 1 /3
So since we are getting 1/3 from the left and right we can say as x approaches 0 the limit is 1/3
<span>
![\lim_{x\to 0} \frac{csc(3x)}{cot(x)} = \frac{1}{3}](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%200%7D%20%5Cfrac%7Bcsc%283x%29%7D%7Bcot%28x%29%7D%20%3D%20%5Cfrac%7B1%7D%7B3%7D)
</span>