Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
or
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Answer: -2
Step-by-step explanation:
Slope=rise/run
In this case we rise up 4
And we run 2 to the left which makes it a negative
So in this case the slope is -4/2
Which can be simplified to -2
Answer:
In right triangle hypotenus(side facing angle 90)is the longest
Step-by-step explanation:
lets say hyp=side1 +side2 were(side1=side2 in isocseles..) and Let x bet the length of side 1
So by applying phythegoras theorem :
hyp^2=x^2+x^2
16^2 =2x^2
2x^2=256
x^2=128
x=
Parameter=16+8
Answer:
50.27 units²
Step-by-step explanation:²
The standard equation of a circle with center at the origin is x² + y² = r², where r is the radius. Substituting 4 for x and 0 for y yields 4² + 0² = r², so we see immediately that r = 4 units.
The formula for the area of a circle is A = πr².
Here, with r = 4, the area is A = π(4 units)² = 16π units², or
50.27 units² to the nearest hundredth.
Answer:
The sum of this entire line is 180, so to solve this we would subtract 20 from 180, which means x = 160.
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