Answer:
For question 26 the answer is ( 9^210 )
For question 27 the answer is ( 24 )
Step-by-step explanation:
<em><u>For question number 26</u></em><em><u>:</u></em> try on the scientific calculator the equation you have pictured it will give you a very long number beginning with 《 2459953978》
Then put the the 9^210 on the calculator and click ( =) if it didn't work try clicking S》D then you will get the same long number Count at least the first 6 numbers for assurance
<em><u>For question number 27 </u></em><em><u>:</u></em><em><u>The volume of a right cone is given by </u></em>
<em><u>
</u></em>
<em><u> Here, you only know the value of one of the variables, V, so you'll need to use the information in the question to somehow write r and h in terms</u></em>
<em><u>If the cone is three times as wide at the base as it is tall, then call the diameter 3x and the height of the cone one-third of that, or x. The volume formula calls for the radius, which is half the diameter, or </u></em>
<em><u>
</u></em>
<em><u>Substitute these values into the formula and solve for x:</u></em>
<em><u>
</u></em>
The question asks for the diameter of the base, which is 3x = 3(8) = 24.
4.17 x 10^-2 is the answer
(a) Use u = -∇z(2, 5)/||∇f(2, 5)||
= -<-4x, -4y>/||<-4x, -4y>|| {at (2, 5)} <span>
= <8, 20>/√((-8)^2 + (-20)^2)
<span>= <2, 5>/√29
(b) Du f(2, 5) = ∇z(2, 5) · u </span><span>
= ∇z(2, 5) · -∇z(2, 5)/||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)||^2 / ||∇f(2, 5)|| </span><span>
= -||∇z(2, 5)|| </span><span>
<span>= -4√29</span></span></span>
The student on the left end of the row can be any one of 30.
For each of those ...
The student in the next seat can be any one of the remaining 29.
For each of those ...
The student in the next seat can be any one of the remaining 28.
For each of those ...
The student on the right end of the row can be any one of the remaining 27.
The total number of ways to pick 4 students and seat them in the front row is
(30 x 29 x 28 x 27) = <em>657,720 ways.</em>
That's enough to do it a different way every school day for about 3,600 years !
(or until they all graduate, whichever comes first)
Answer:
\frac{x^3+2x^2-16-2x}{x}
Step-by-step explanation:
\frac{x^3+2x^2-16-2x}{x}