Answer:
(a) 36
(b) y = 36x-31
Step-by-step explanation:
(a) dy/dx = 18x
slope of tangent at (2, 41) = 18(2)
= 36
(b) using y-y1 = m(x-x1)
y-41 = 36(x-2)
y = 36x-31
Answer:
B
Step-by-step explanation:
Given
f(x) = x² - 8x + 3
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
x² + 2(- 4)x + 16 - 16 + 3
(x - 4)² - 13 ← in vertex form → B
Answer:
See detail below.
Step-by-step explanation:
A word of caution before getting to the actual problem: I believe there is an important set of brackets missing in the original post. The expression on the left hand side should be:
(cosxtanx-tanx+2cosx-2)/(tanx+2)
Without the brackets, it is left unclear whether the denominator is just tanx or tanx+2. I recommend to use brackets wherever any doubt could arise.
Now to the actual problem: \we can make the following transformations on the left hand side:

which is shown to be the same as the right hand side, which was to be shown.
Answer:
x=8
Step-by-step explanation:
Cross multiply to solve
2/x=4/16
4*x=2*16
4x=32
Divide by 4 on both sides
x=8
So,
2/8=4/16
Hope this helps! :)