1) the area of the "side" of the cylinder is A1= pi (4 in).
2) the total area of the circular ends of the cyl. is A2 = 2 pi (2 in)^2 (since the radius of the cyl. is 2 in).
The desired total surface area is A = A1 + A2. Keep "pi;" do not substitute a numerical value for "pi."
Answer:
Step-by-step explanation:
The general rule for vertical translation of a function ƒ(x) ⟶ ƒ(x) + k
.
A positive value of k means that the graph is shifted up by k units.
The graph of ƒ(x) was shifted from (0, 1) to (0, -6).
That's a quadratic, a nice parabola in vertex form.
The parabola has a positive x^2 term, so it's a CUP, concave up positive. It will have a minimum at the vertex, which is (2,5). Plot that point.
Now we need a couple of guide points to draw the usual parabola going up from both sides of its vertex. We try x=0 giving (0,9) and see that x=4 also gives 9, (4,9). Plot the parabola through those two points and the vertex and you're done.
Answer:
- 5, 2, 9, 16 and d = + 7
Step-by-step explanation:
to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula
f(1) = - 5 ← given
f(2) = f(1) + 7 = - 5 + 7 = 2
f(3) = f(2) + 7 = 2 + 7 = 9
f(4) = f(3) + 7 = 9 + 7 = 16
common difference d = 16 - 9 = 9 - 2 = 2 - (- 5) = 7
