Step-by-step explanation:
f(x) = -16x² + 22x + 3
Factor:
f(x) = (8x + 1) (-2x + 3)
The x-intercepts are (-1/8, 0) and (3/2, 0).
The leading coefficient is negative, so the parabola points down. Therefore, the vertex is a maximum. The x-coordinate is halfway between the x-intercepts.
x = (-1/8 + 3/2) / 2
x = 11/16
f(11/16) = 169/16
So the vertex is at:
(11/16, 169/16)
Graph the x-intercepts and the vertex, then draw a curve through the 3 points.
Answer: Hi, the answer is the margin of error would be 19 for 2 s.d. or 18.6 for 1.96 s.d
Step-by-step explanation: The margin of error needs to be defined, but if one uses 1.96 (95% by empiric rule for normal distributions), it is 3.72. For 2 s.d, it is 3.61
The margin of error would be 19 for 2 s.d. or 18.6 for 1.96 s.d The margin of error is +/-19, for example, the interval within the margin of error would be (186, 224).
Answer:
I think the equation would be 345 = 121 + p
The height is 52 feet.
Using t=3, we have:
-3² + 15(3) + 16 = -9 + 45 + 16 = 52
The path can be parameterized by the vector-valued function,
where . Then
The line integral reduces to