Answer:
h = 
- r
Step-by-step explanation:
The question requires you to make h the subject of the formula.
S = 2πrh + 2πr²
subtract 2πr² on both sides.
S - 2πr² = 2πrh - 2πr² - 2πr²
S - 2πr² = 2πrh
Dividing both sides by 2πr
(S - 2πr²)/2πr = 2πrh/ 2πr
h = - r
56 miles, The car traveled m miles during the first hour and m squared miles during the second hour. The ratio m/m squared = 1/7 and cross multiplying yields m squared = 7m, so m=7. This means that the total distance traveled was 7+7squared = 56 miles
Answer:
y = 2x + 1
Step-by-step explanation:
You can see a pattern in the group of x's that the numbers go up by 1 Also in the y-set that the numbers go up by 2. So this pattern is linear, that means the "rule" you are looking for does not have exponents or square roots or any very complicated stuff. You can use a guess and check method. Say to yourself how can I get a 7 out, when I put a 3 in? "times by2 and plus 1" works.
3 times 2, and plus1
gives you 7.
Test it on the other numbers.
-1 times2, and plus1
2(-1)+1 = -1
2(0)+1 = 1
2(1)+1 = 3
2(2)+1 = 5
It works for all the numbers.
You can calculate it also, using any two pairs of (x,y) from the data set. Put y-y on top of a fraction and x-x on the bottom. You will get the slope and that is the 2 in the "rule"
(3,7) and (2,5) for example. 7-5 so put 2 on top and 3-2 so put 1 on the bottom. 2/1 is just 2. From the point (0,1) we know the y-intercept is 1. This also gives the equation y=2x+1.
If you are just starting to learn this, probably just guess and check a rule. The rule has to work for all the points.
147
Step-by-step explanation:
180-33=147
Answer:
lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)=0
Step-by-step explanation:
First, we need to put the spherical coordinates equations that we will use in our problem
x = p*sin∅cos Ф
y = p*sin∅sinФ
z=p*cos∅
Then we will state the problem
lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)
Using the spherical coordinates we get
(x^2+y^2+z^2) = p^2
Which will make our limit be
lim p→0+ [p*sin∅cos Ф*p*sin∅sinФ
*p*cos∅]/(x^2+y^2+z^2)
after solving limit:
lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)=0
