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.
Answer:
its 2 1/2 its width
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
This is an arithmetic sequence. The common difference is -6, and the first term is 52.
a = 52 − 6(n − 1)
When n = 8:
a = 52 − 6(8 − 1)
a = 52 − 42
a = 10
x + 17 ≥ -3
Isolate the x. Subtract 17 from both sides
x + 17 (-17) ≥ - 3 (-17)
x ≥ -3 - 17
x ≥ -20
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x ≥ -20 is your answer
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hope this helps
Answer:
(x+4)^2 + (y-6)^2 = 29
Step-by-step explanation:
The center-radius form of the circle equation is in the format (x – h)^2 + (y – k)^2 = r^2, with the center being at the point (h, k)
Replacing the center C(-4,6):
(x+4)^2 + (y-6)^2 = r^2
then replacing the point (-3,1):
(-3+4)^2 + (1-6)^2 = r^2
1 + 25 = r^2
then the equation of the circle is:
(x+4)^2 + (y-6)^2 = 29
