True.
The y-axis of the f(x) must equal to the x-axis of g(x)
The x-axis of the f(x) must equal to the y-axis of g(x)
The answer to this is
x=8
The picture is not clear. let me assume
y = (x^4)ln(x^3)
product rule :
d f(x)g(x) = f(x) dg(x) + g(x) df(x)
dy/dx = (x^4)d[ln(x^3)/dx] + d[(x^4)/dx] ln(x^3)
= (x^4)d[ln(x^3)/dx] + 4(x^3) ln(x^3)
look at d[ln(x^3)/dx]
d[ln(x^3)/dx]
= d[ln(x^3)/dx][d(x^3)/d(x^3)]
= d[ln(x^3)/d(x^3)][d(x^3)/dx]
= [1/(x^3)][3x^2] = 3/x
... chain rule (in detail)
end up with
dy/dx = (x^4)[3/x] + 4(x^3) ln(x^3)
= x^3[3 + 4ln(x^3)]
Answer:
C. 96°
Step-by-step explanation:
m<AME = 48° is an inscribed angle
Arc AT = intercepts arc
Based on the inscribed angles theorem, we have:
m<AME = ½(arc AT)
48° = ½(arc AT)
Multiply both sides by 2
48° × 2 = ½(arc AT) × 2
96° = arc AT
Arc AT = 96°
The formula for volume (V) is <em>l * w * h</em>, where <em>l</em> is length, <em>w</em> is width, and <em>h</em> is height. So in a sense, we have already solved the first part of this problem!
V = 10 * 8 * 3
Now, all we have to do is complete this equation to find the volume.
10 * 8 = 80
80 * 3 = 240
The volume of Jose's box for baseball cards is 240 cubic inches.
Hope that helped! =)