As this is a trinomial function I believe the answer is true due to the fact that a trinomial curve consists of three parabolic curves in which each has its own respective minimum or maximum value i.e. critical number.
Answer:
<u>Easy way to distinguish:</u>
- Linear function forms a AP and exponential function forms a GP
<u>We see f(x) is series of:</u>
- This is a AP with common difference of 6 and the first term of 8
<u>g(x) is series of:</u>
- 4, 12, 36, 108, 324
- This is a GP with common ratio of 3 and the first term of 4
1. <u>g(x) is exponential function:</u>
2. <u>f(x) is linear function:</u>
Answer:
72 square units
Step-by-step explanation:
The figure shown has a uniform horizontal cross section, so is equivalent to a rectangle with length 12 and height 6. Its area is given by the rectangle formula:
A = LW
A = (12)(6) = 72 . . . . square units
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<em>Additional comment</em>
Essentially, the semicircle removed from the left side is tacked onto the right side. The rectangle area is unchanged by that.
Answer:
(1, 3)
Step-by-step explanation:
The center of a hyperbola can be found by looking at the midpoint between the two vertices.
Here, the two vertices are (1, 8) and (1, -2). We use the Midpoint Formula to figure out the vertex:
Midpoint is: 
Thus, the answer is (1, 3).
Hope this helps!
Answer:
II and II only.
Step-by-step explanation:
The first series converges because the common ratio r is 0.8 (<1).
II diverges as |r| > 1.
III is an alternating series with r = -4 - that is |r| = 4 so it diverges.
