Answer:
The dot product of vectors is the method used to "multiply" vecotrs since vectors aren't directly multiplieable
Step-by-step explanation:
Because of the symmetry, we can just go from x=0 to x=2 to find the area between
<span>y = x^2 and y = 4 </span>
<span>that area = ∫4-x^2 dx from 0 to 2 </span>
<span>= [4x - (1/3)x^3] from 0 to 2 </span>
<span>= 8 - 8/3 - 0 </span>
<span>= 16/3 </span>
<span>so when y = b </span>
<span>x= √b </span>
<span>and we have the area as </span>
<span>∫(b - x^2) dx from 0 to √b </span>
<span>= [b x - (1/3)x^3] from 0 to √b </span>
<span>= b√b - (1/3)b√b - 0 </span>
<span>(2/3)b√b = 8/3 </span>
<span>b√b =4 </span>
<span>square both sides </span>
<span>b^3 = 16 </span>
<span>b = 16^(1/3) = 2 cuberoot(2) </span>
<span>or appr 2.52</span>
Rewrite the second equation in same form as the first So we have
c + 4d = 8
c - 4d = -6 Now add:-
2c + 0 = 2
2c = 2
c = 1
Now substitute c = 1 in the first equation:-
1 + 4d = 8
4d = 7
d = 7/4 = 1 3/4
Answer c = 1 and d = 1 3/4 Answer
Circumference of the cylinder = 3.14 x 3.5 = 10.99 = 11 inches
so D. 11 x 14 is correct for the first part
area of the top = PI x r^2 = 3.14 x 1.75^2 = 9.62 inches
top and bottom = 9.62 x 2 = 19.23 = A. 19 inches
Answer: 9 remainder 2
Explanation: 9 is the closest 6 can get to 56 without going over. Since 9•6=54, and 56-54=2 , 2 is the remainder.
