Step-by-step explanation:
Your previous questions answer is
v=23
w=19
x=22
y=26
z=20
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If y = √(2x + 1), then differentiating both sides implicitly with respect to t gives
dy/dt = 1/2 • 1/√(2x + 1) • 2 • dx/dt = 1/√(2x + 1) • dx/dt
(a) If dx/dt = 9 and x = 4, then
dy/dt = 1/√(2•4 + 1) • 9
dy/dt = 1/√(8 + 1) • 9
dy/dt = 1/√9 • 9
dy/dt = 9/3
dy/dt = 3
(b) If dy/dt = 3 and x = 40, then
3 = 1/√(2•40 + 1) • dx/dt
3 = 1/√(80 + 1) • dx/dt
3 = 1/√81 • dx/dt
3 = 1/9 • dx/dt
dx/dt = 27
Answer:
3rd option
Step-by-step explanation:
Using the identities
cot x = 
csc² x = 1 + cot² x
Given
tanθ = 
, then cotθ = 
csc²θ = 1 + ( )² = 1 + 
= 
cscθ = ± 
= ± 
Since θ is in 3rd quadrant, then cscθ < 0
cscθ = - × 
= - 
Answer:
12,664
Step-by-step explanation:
= -9(x – 4) – 6x
Multiply -9 by everything in parentheses first
= (-9*x) + (-9*-4) - 6x
= -9x + (36) - 6x
Combine like terms
= (-9x-6x) + 36
= -15x + 36
The middle choice is the answer:
-15x + 36
Hope this helps! :)
