Answer:
108
Step-by-step explanation:
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
First substitute x into the expression
= 9²-81/√9 - 3
= 81-81/3-3
= 0/0 (indeterminate)
Apply l'hospital rule
= lim x -> 9 d/dx(x²-81)/√x - 3
= lim x -> 9 2x/1/2√x
Substitute x = 9
= 2(9)/1/2√9
=18/1/(2(3)
=18 × 6/1
= 108
Hence the limit of the function is 108
Answer:
0.95
Step-by-step explanation:
A = 1/2bh
40 = 1/2 x^2
x^2 = 80
x = 8.9
Answer:
Triangles always have 180°, split in some manner between the three angles. With two of the three angles given, you can set up a relatively simple equation, where the third angle is assigned to the variable x:
45°+85°+x=180°
130°+x=180°
x=50°
Answer:
18
Step-by-step explanation:
volume= r × h = 2 × 9= 18
