Answer:
The approximate volume is
Step-by-step explanation:
we know that
The exact volume of the cylinder is
so
To find the approximate volume of the cylinder, substitute the term by the approximate value of and then multiply
so
Step-by-step explanation:
Derivation using Product rule : -
To find the derivative of f(x) = sin 2x by the product rule, we have to express sin 2x as the product of two functions. Using the double angle formula of sin, sin 2x = 2 sin x cos x. Let us assume that u = 2 sin x and v = cos x. Then u' = 2 cos x and v' = -sin x. By product rule,
f '(x) = uv' + vu'
= (2 sin x) (- sin x) + (cos x) (2 cos x)
= 2 (cos2x - sin2x)
= 2 cos 2x
This is because, by the double angle formula of cos, cos 2x = cos2x - sin2x.
Thus, derivation of sin 2x has been found by using the product rule.
Y = -x^2 + x + 2
y = -x + 3
-x + 3 = -x^2 + x + 2
x^2 - x - 2 - x + 3 = 0
x^2 -2x + 1 = 0
(x - 1)(x - 1) = 0
x - 1 = 0 y = -x + 3
x = 1 y = -1 + 3
y = 2
solutions are : (1,2) , (1,2)
D.
or divide 900 by 20 and see the closest
Answer:
48 square unit
Step-by-step explanation:
For a rectangle, area is given by
A=bh
Where b is base and h is height as shown in the attached diagram
For a triangle, area is given by
A∆=½bh
Given that ½bh=48
Then bh=2*48=96 square units
The overall area is 96 square units.
The area for 1&2 combined will be given by deducting the area of triangle from the overall area
Area is 96-48=48 square units