In the 
direction we consider the 
subintervals [0, 1] and [1, 2] (each with length 1), while in the 
direction we consider the 
subintervals [0, 2] and [2, 4] (with length 2). Then the lower right corners of the cells in the partition of 
are (1, 0), (2, 0), (1, 2), (2, 2).
Let 
. The volume of the solid is approximately
###
More generally, the lower-right-corner Riemann sum over 
and 
subintervals would be
Then taking the limits as 
and 
leaves us with an exact volume of 
.
Answer:
(x +5)
Step-by-step explanation:
The problem statement is telling you that one factor of (x⁴ +5x³ -3x -15) is (x³ -3). It is asking for the other factor. Clearly, you can find the other factor by dividing the polynomial by the given factor.
That is ...
(x⁴ +5x³ -3x -15) / (x³ -3) = (x +5)
so ...
(x⁴ +5x³ -3x -15) / (x +5) = (x³ -3)
The divisor of interest is (x +5).
Answer: Choice B
y = (x+3)^2 - 1
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Recall that vertex form is y = a(x-h)^2 + k with the vertex being (h,k)
From the given graph, it shows that (h,k) = (-3,1) is the vertex. So we plug this pair of values into the general function above to get
y = a(x-h)^2 + k
y = 1(x-(-3))^2 + (-1)
y = (x+3)^2 - 1
which is the final answer
note: a = 1 is the case for all four answer choices, so we don't have to worry about the value of 'a'
Answer:
9 people would be on the elevator when it goes on its last trip
Step-by-step explanation:
24 x 9 = 216
25 x 9 = 225
225 - 216 = 9
So there is an 9 difference
Answer:
Line m
Step-by-step explanation:
The points are ranged from the region of ages 2-12. These points are aligned and near Line m.
