ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
To find the displacement function, we need to to Integrate the velocity function.
At time t=0, there was no displacement.
This implies that,
The displacement function then becomes,
To find the displacement over the first π seconds, we put
into the equation for the displacement to get,
Answer:
A) 10^23
Step-by-step explanation:
if bases are the same and you're multiplying then:
keep the base and add the exponents
Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂
- A₃ = x² + 11x + 28 - x² - 3x
- = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
Answer:
y = -x + 4
Step-by-step explanation:
y + 2 = -x - 1
y = - x - 1 - 2
y = -x - 3
Point: (-2,6)
Slope -1
y-intercept: 6 - (-1)(-2)
= 6- 2 = 4
F(2)+g(4)
evaluate them seperately
f(2)=2+2=4
g(4)=10(4)-4
g(4)=40-4
g(4)=36
f(2)+g(4)=4+36=40
