Use the chain rule to compute the second derivative:
The first derivative is
Then the second derivative is
Then plug in π/4 for <em>x</em> :
For the answer to the question above,
1 + nx + [n(n-1)/(2-factorial)](x)^2 + [n(n-1)(n-2)/3-factorial] (x)^3
<span>1 + nx + [n(n-1)/(2 x 1)](x)^2 + [n(n-1)(n-2)/3 x 2 x 1] (x)^3 </span>
<span>1 + nx + [n(n-1)/2](x)^2 + [n(n-1)(n-2)/6] (x)^3 </span>
<span>1 + 9x + 36x^2 + 84x^3 </span>
<span>In my experience, up to the x^3 is often adequate to approximate a route. </span>
<span>(1+x) = 0.98 </span>
<span>x = 0.98 - 1 = -0.02 </span>
<span>Substituting: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 </span>
<span>approximation = 0.834 </span>
<span>Checking the real value in your calculator: </span>
<span>(0.98)^9 = 0.834 </span>
<span>So you have approximated correctly. </span>
<span>If you want to know how accurate your approximation is, write out the result of each in full: </span>
<span>1 + 9(-0.02) + 36(-0.02)^2 + 84(-0.02)^3 = 0.833728 </span>
<span> (0.98)^9 = 0.8337477621 </span>
<span>So it is correct to 4</span>
Answer:
y=35z+20
Step-by-step explanation:
Y is the total cost, so it goes on the outside. 35z represents the months of service because you multiply 35 by however many months there are (for example, if you had 3 months, you'd have $35 3 times). Finally, the $20 is tacked onto the end because that's the initial payment to open an account
Answer:
range=14
mode=9
median =9
mean =12
Step-by-step explanation:
range is B-S=20-6
mode is most common
median put in order find middle value 6,9,9,9,9,11,13,16,18,20
mean is add all divide by how many 9+9+9+9+6+11+13+16=120/10
If i get one wrong i am sorry
Answer:
2) Definition of vertical angles
3) Definition of congruence
4) proven
Step-by-step explanation:
