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Calculate \(\int_R\int f(x,y) dA\) for f(x,y) = 100 – 6x
2
y and \(R: 0 \leq x \leq 2, -1 \leq y \leq 1 \)
Answered
Mathematics I
For What values of x does the series \(\sum_{n=1}^{∞} \frac{(x – 3)^n}{x}\) converge?
Answered
Mathematics I
Find the volume of a sphere of radius r
Answered
Mathematics I
Define Initial Value Problem. Solve that value problem of \(y^2 + 5y = 1\), y(0) = 2
Answered
Mathematics I
C Program to swap two numbers
Answered
C Programming
Find the Maclaurin series for e
x
and prove that it represents e
x
for all x.
Answered
Mathematics I
Estimate the area between the curve y
2
= x and the lines x = 0 and x = 2.
Answered
Mathematics I
A function is defined by f(x) = \(\left\{\begin{matrix}
x + 2 \enspace \enspace if \enspace x < 0\\
1 – x \enspace \enspace if \enspace x > 0
\end{matrix}\right.\), Concluate f(-1), f(3) and sketch graph.
Answered
Mathematics I
Prove that \(\lim_{x \to 0} \frac{|x|}{x}\) the does not exist.
Answered
Mathematics I
Show that the converges \(\int_{∞}^{1}\frac{1}{x^2} \,dx\) and diverges \(\int_{∞}^{1}\frac{1}{x}\,dx\)
Answered
Mathematics I
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