Lines are perpendicular if crossed at 90 degrees
Answer:
1/0.04 = 25
Step-by-step explanation:
Using the disk method, the volume is obtained with the integral
The radius of each disk is given by the horizontal distance from the axis of revolution, 
, to the logarithmic curve which we can write as a 
:
Then the volume of one such disk is 
.
The volume of the entire solid would be
Answer:
126
Step-by-step explanation:
To calculate this, we need to assume at least one white marble will be picked... so let's take it out of the bag. Then we need to pick 4 more marbles... it's just then a combination calculation.
How many marbles is there in total? 4 + 3 + 2 + 1 = 10
We do just as if we had removed one white marble from the bag... so that leaves 9 in the bag.
We have to pick 4 out of those 9.... so, it's simple combination calculation:
C(9,4) = 9! / (4! (9--4)!) = 9! / (4! 5!) = 126
Some of those grabs will have 2 white marbles... but we're assured that there are 126 ways to combine the 10 marbles so there's at least one white in the 5 picked (since we forced it in our calculations).
Answer
b. No
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.
The function is
f(x) = sin(20*x) + cos(8*x)
Which can be seen in the picture below
We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2
The maximum and minimum values are
Max = 1.834
Min = -2
