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Evaluate integral integral integral yz dv where E is the region bounded by x = 2y^2 + 2z^2 - 5 and the plane x = 1
a) find and classify the critical points of the functions f(x) = 2x^3 + 3x^2 - 12 x +1 into maximum, minimum and inflection points as appreciate.
(b) The sum of two positive numbers is S. find the maximum value of their product.
"\\int_{y=1}^3\\int_{x=0}^{3}" (1 + 8xy) dx dy
2. f(x,y)= x sin(1/x)+ y sin(1/y)
3. f(x,y,z)= 1/(√ (4-x^2-y^2-z^2)
Find the volume of the solid formed by revolving the region bounded by y=(x-2)² and y=x about the y -axis.
If"\\ f(x) = 3x^2 \u2013 2x + 5" , find f[1, 2], f[2, 3] and f[1, 2, 3].
find the taylor series expansion of
f(x)=(9-e-x)1/2 about x=0 hence determine (9-e-0.03) to 3 decimal places using the first three terms
evaluate
- "\\int" cscnxdx
Given In="\\int" tannxdx show that In=(tann-1x/n-1)-In-2
Find the maclaurin series expansion for y=(8+ex)1/2 in ascending powers of x upto and including the term in x3 hence estimate (8+e0.54)1/2 to three decimal places
