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sketch the graph of a function f(x) on [0,3] which has the given properties
a)has a absolute minimum at x=1 but has no absolute maximum
b)has a global minimum at x=1 and is continuous but not differentiable at x=1
c)has an absolute maximum and an absolute minimum and is discontinuos
Let f(x,y) = 100 + 10 x + 25y - x^(2) - 5y^(2)

a. Describe the cross sections of the surface z = f(x,y) produced by cutting it with the planes y = 0, y = 1, y = 2, and y = 3.

b. Describe the cross sections of the surface in the planes x = 0, x = 1, x = 2, and x = 3.

c. Describe the surface z = f(x,y)
determine whether the series convergent or divergent and find its sum if exist
∞∑n=1 5/√n -3
determine whether the series convergent or divergent and find its sum if exist
6+0.6+0.06+......
determine whether the series convergent or divergent and find its sum if exist ∞∑n=1 [5/3^√ n+1/n^2]
determine whether the series convergent or divergent and find its sum if exist ∞∑n=1 [1/2^n+1/n(n+1)]
determine whether the series convergent or divergent ∞∑n=1 5^n/n!
use the ratio test determine whether the series converges or dive ∞∑n=1 5^n/n
Find the maclaurin expansion for the function f(x)=sin2x
determine whether the series convergent or divergent ∞∑n=1*5^n/n!
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