Answer:
50$
Step-by-step explanation:
5% of 500=25
If you earn 25 per year then in two years you will earn
25+25=50$
(a)
The average rate of change of f on the interval 0 ≤ x ≤ π is

____________
(b)

The slope of the tangent line is

.
____________
(c)
The absolute minimum value of f occurs at a critical point where f'(x) = 0 or at endpoints.
Solving f'(x) = 0

Use zero factor property to solve.

so that factor will not generate solutions.
Set cos(x) - sin(x) = 0

cos(x) = 0 when x = π/2, 3π/2, but x = π/2. 3π/2 are not solutions to the equation. Therefore, we are justified in dividing both sides by cos(x) to make tan(x):
![\displaystyle\cos(x) = \sin(x) \implies 0 = \frac{\sin (x)}{\cos(x)} \implies 0 = \tan(x) \implies \\ \\ x = \pi/4,\ 5\pi/4\ \forall\ x \in [0, 2\pi]](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Ccos%28x%29%20%3D%20%5Csin%28x%29%20%5Cimplies%200%20%3D%20%5Cfrac%7B%5Csin%20%28x%29%7D%7B%5Ccos%28x%29%7D%20%5Cimplies%200%20%3D%20%5Ctan%28x%29%20%5Cimplies%20%5C%5C%20%5C%5C%0Ax%20%3D%20%5Cpi%2F4%2C%5C%205%5Cpi%2F4%5C%20%5Cforall%5C%20x%20%5Cin%20%5B0%2C%202%5Cpi%5D)
We check the values of f at the end points and these two critical numbers.




There is only one negative number.
The absolute minimum value of f <span>on the interval 0 ≤ x ≤ 2π is

____________
(d)
The function f is a continuous function as it is a product of two continuous functions. Therefore,

g is a differentiable function; therefore, it is a continuous function, which tells us

.
When we observe the limit

, the numerator and denominator both approach zero. Thus we use L'Hospital's rule to evaluate the limit.


thus

</span>
If u connect each of the triangle shape thingy all the way to the other side it makes 4 lines of symmetry then if u go between the triangles you will get another 4 lines of symmetry which gives u 8 lines of symmetry
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Formula
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Surface area = 2πr² + 2πrh
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Find Surface Area
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Total surface area = 2 x π x (13.5)² + 2 x π x (13.5) x (90)
Total surface area = 364.5π + 2430π
Total surface area = 2794.5π
Total surface area = 8774.73 unit² (Take π as 3.14)
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Answer: 8774.73 unit²
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