Answer:
Step-by-step explanation:
We are given that
Equation of curves
Both curves lie on S.
We have to find the equation of tangent plane at P(4,1,4).
Hence, t=0 and u then it satisfied the given point.
Substitute the values in the derivatives
The equation of tangent at point P(4,1,4) is given by
Volume of a cylinder = π · radius(r)² · height(h)
Since you didn't provide the radius or the height, I am unable to provide a solution to this problem but hopefully you can solve it on your own now that you have the formula.
Answer:
y=3x+23 (lmk if you need me to explain)
Step-by-step explanation:
Answer:
Step-by-step explanation:
Slope of line passing through (2, 7) and (1, -2) = (-2-7)/(1-2) = 9
Answer:
sin²x = (1 - cos2x)/2 ⇒ proved down
Step-by-step explanation:
∵ sin²x = (sinx)(sinx) ⇒ add and subtract (cosx)(cosx)
(sinx)(sinx) + (cosx)(cosx) - (cosx)(cosx)
∵ (cosx)(cosx) - (sinx)(sinx) = cos(x + x) = cos2x
∴ - cos2x + cos²x = -cos2x + (1 - sin²x)
∴ 1 - cos2x - sin²x = (1 - cos2x)/2 ⇒ equality of the two sides
∴ (1 - cos2x) - 1/2(1 - cos2x) = sin²x
∴ 1/2(1 - cos2x) = sin²x
∴ sin²x = (1 - cos2x)/2
