Answer:
Step-by-step explanation:
The sum of the first 10 terms of an arithmetic sequence is:
the sum of the second 10 terms is: a₁₁ + a₁₂+...+ a₂₀
And the sum of the first 20 terms of an arithmetic sequence is:
so the sum of the second 10 terms is:
Therefore we have:
and:
<h2>
Instantaneous rate of change of f(x) at x = 4 is -2552</h2>
Step-by-step explanation:
We have f(x)= x² - 2x⁵
We need to find the instantaneous rate of change of f(x) at x=4
Let us take derivative,
f'(x)= 2x - 10x⁴
Now we need to find f'(4)
Substituting x = 4
We have
f'(4)= 2 x 4 - 10 x 4⁴
f'(4)= 8 - 2560
f'(4)= -2552
Instantaneous rate of change of f(x) at x = 4 is -2552
Answer:
Cos θ = -4/5
Tan θ = -3/4
Step-by-step explanation:
The question is as following:
Select the correct answer from each drop-down menu.
Angle θ lies in the second quadrant, and sin θ =3/5.
cos θ = -4/5, -3/5, 3/5, 4/5
tan θ = -4/3, -3/4, 3/4, 4/3
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Since, the angle lies in second quadrant (negative x axis and positive y axis) we can deduce that cos θ is negative and tan θ is also negative.
If sin θ =3/5
∴ Cos θ = -4/5 ⇒ because θ lies in the second quadrant.
And
Tan θ = (sin θ)/(cos θ) = (3/5) / (-4/5) = -3/4.
Answer:
When two quantities increase or decrease together they are said to be directly. proportional
Answer: A= 380.15
Step-by-step explanation:
To find the area of a circle with the radius, square the radius, or multiply it by itself. Then, multiply the squared radius by pi, or 3.14, to get the area. To find the area with the diameter, simply divide the diameter by 2, plug it into the radius formula, and solve as before.
A= 11^2 ( 3.14)