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If the radius of a sphere is doubled, the surface area is
a. multiplied by 4.
b. multiplied by 2.
c. multiplied by 3.
d. multiplied by 8.
a. The formula for the surface area of a sphere is 4πr2. If the radius is doubled, this implies that the radius is also doubled. The formula then becomes 4π(2r)2. Solve this expression, 4π(4r2) equals 16πr2. Compare 4πr2 to 16πr2; 16πr2 is 4 times greater than 4πr2. Thus, the surface area is four times as great.
Proof of Limit Comparison Test As 0 Now, as we know that for large enough n the quotient a n /b n should be close to c and thus there must be a positive integer
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we know that A^m/A^m=1 so A^(m-m)=1 so A^0=1.....
Find the full fourier Series of e^x on (-l,l)in its real and complex forms. (hint:it is convenient to find the complex form first)
Can you help me with the coursework i have in Matlab?
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Given So calculate AB. Solution The new matrix will contain size 2 x 4. The entry in row 1 and column 1 of the new matrix will be determined by multiplying row 1 of
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