2^3 = 2 x 2 x 2 = 8
your answer is 8
hope this helps
The first term of an AP can be defined as T1 i.e. n=1. According to the given equation,. T1=a=2(1)+9=11.
The equation of this sinusoidal function is either
f(x) = a sin(bx) + c
or
f(x) = a cos(bx) + c
Either way, the plot of f9x) has amplitude a, period 2π/b, and midline y = c.
If the period is π/2, then
2π/b = π/2 ⇒ b = 4
If the maximum value is 10 and the minimum value is -4, then
-4 ≤ a sin(4x) + c ≤ 10
-4 - c ≤ a sin(4x) ≤ 10 - c
-(4 + c)/a ≤ sin(4x) ≤ (10 - c)/a
Recall that sin(x) is bounded between -1 and 1. So we must have
-(4 + c)/a = -1 ⇒ a = c + 4
(10 - c)/a = 1 ⇒ a = -c + 10
Combining these equations and eliminating either variable gives
a + a = (c + 4) + (-c + 10) ⇒ 2a = 14 ⇒ a = 7
a - a = (c + 4) - (-c + 10) ⇒ 0 = 2c - 6 ⇒ c = 3
Finally, we have either
f(x) = a sin(bx) + c ⇒ f(0) = c = 3
or
f(x) = a cos(bx) + c ⇒ f(0) = a + c = 3
but the cosine case is impossible since a = 7.
So, the given function has equation
f(x) = 7 sin(4x) + 3
Answer:
37 m^2
Step-by-step explanation:
The shape can be broken down into a rectangle (on the top), two triangles (at the side) and another big rectangle (centre)
Area of one triangle
= 1/2*base*height
= 1/2*4*1
=2 m^2
Area of 2 triangles= 4m^2
Area of the small rectangle
= Length*breadth
= 1*3
= 3 m^2
Area of large rectangle in the same way
= 4*8
= 32m^2
Total area
= Sum of all the sub-areas
= 32+3+2
=37 meters^2
