Answer:
Step-by-step explanation:

lets calculate the derivate of f using the chain rule:

we have that f'(1) = 4e^2, hence the equation is

or, equivalently,
Answer:
The Ferris wheel rotates 18° between successive cars being at the bottom.
Explanation:
Angle inside a circle = 360°
No of cars in a Ferris wheel = 20
When the bottom of the ride is replaced by the next car, the angle rotated by Ferris wheel is same as the angle between two consecutive cars towards center of Ferris wheel.
Angle between two consecutive cars of Ferris wheel = 360/20 = 18°
The Ferris wheel rotates 18° between successive cars being at the bottom.
Answer:
q = 8
x₁ = -2, x₂ = -4
Step-by-step explanation:
For a quadratic equation ax² + bx + c, the sum of the roots is -b/a, and the product of the roots is c/a.
If the roots are x₁ and x₂, then:
-6/1 = x₁ + x₂
q/1 = x₁ x₂
Since we know one root is double the other, we can say x₂ = 2x₁. Plugging into the first equation and solving:
-6 = x₁ + 2x₁
-6 = 3x₁
x₁ = -2
Which means x₂ = -4. So the value of q must be:
q/1 = (-2) (-4)
q = 8
3/4 root 10
you make a right triangle. use Pythagorean theorem. and find the opposite side. then reduce the radical of 160. and do tan and then flip them around to make cot.