Answer:
73
Step-by-step explanation:
17×2=34
180-34=146
146/2=73
=73
Answer:
4^2
Step-by-step explanation:
4×4 is 16
4^2 is 4 times 4
Answer:
velocity
Step-by-step explanation:
The velocity of the object is continually changing. This velocity is the slope of the tangent line to the curve at a given point on the curve.
Answer:
Step-by-step explanation:
Given:
Length (l) = 12 cm
Width (w) = 4 cm
Perimeter of the rectangle = 2(l + w) units
<em>P</em> = 2(12 + 4)
<em>P</em> = 2 (16)
<em>P</em> = 32
<h2><u><em>32 cm</em></u></h2>
Answer:
The two horiz. tang. lines here are y = -3 and y = 192.
Step-by-step explanation:
Remember that the slope of a tangent line to the graph of a function is given by the derivative of that function. Thus, we find f '(x):
f '(x) = x^2 + 6x - 16. This is the formula for the slope. We set this = to 0 and determine for which x values the tangent line is horizontal:
f '(x) = x^2 + 6x - 16 = 0. Use the quadratic formula to determine the roots here: a = 1; b = 6 and c = -16: the discriminant is b^2-4ac, or 36-4(1)(-16), which has the value 100; thus, the roots are:
-6 plus or minus √100
x = ----------------------------------- = 2 and -8.
2
Evaluating y = x^3/3+3x^2-16x+9 at x = 2 results in y = -3. So one point of tangency is (2, -3). Remembering that the tangent lines in this problem are horizontal, we need only the y-coefficient of (2, -3) to represent this first tangent line: it is y = -3.
Similarly, find the y-coeff. of the other tangent line, which is tangent to the curve at x = -8. The value of x^3/3+3x^2-16x+9 at x = -8 is 192, and so the equation of the 2nd tangent line is y=192 (the slope is zero).
