Answer:
(a) t = 7 sec approximately; (b) t = 6 sec
Step-by-step explanation:
(a) Set h(t)= -16(t-3)^2 + 288 = 0 and solve for t:
16(t-3)^2 = 288
After simplification, this becomes (t - 3)^2 = 18, or t - 3 = ±3√2.
Because t can be only zero or positive, t = 3 + 3√2 = 7 seconds
(b) Solve h(t)= -16(t-3)^2 + 288 = 150:
-16(t-3)^2 = - 162
or (t - 3)^2 = 10.125, or
t - 3 = ±3.18, or, finally, t = 6.18 sec (discard t = -0.18 sec)
4/5 PI radians = 144 degrees
sector area = central angle / 360 * PI * radius^2
sector area = 144 / 360 * PI * 11^2
sector area =
<span>
<span>
<span>
152.0530844337
</span>
</span>
</span>
square centimeters
sector area =
<span>
<span>
<span>
152.05 </span></span></span>square centimeters
The function f(x) is a polynomial, while the function g(x) is a logarithmic function and the functions have the same range
<h3>The type of functions</h3>
The functions are given as:
f(x) = x³ + x² - 2x + 3
g(x) = log(x) + 2
The function f(x) is a polynomial, while the function g(x) is a logarithmic function.
<h3>The key features</h3>
For the polynomial function, we have:
- Domain: -∞ < x < ∞
- Range: -∞ < x < ∞
- y-intercept = 3
For the logarithmic function, we have:
- Domain: x > 0
- Range: -∞ < x < ∞
- y-intercept = undefined
By comparison, the functions have the same range
Read more about functions at:
brainly.com/question/2264373
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