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Use the method cylindrical shells to find the volume V of the solid obtained by rotating the region bounded by the given curves about x-axis.
x = 2 + (y - 6)2, x = 18.
Given that z = 3x2 + 9xy - y2, compare the actual change in z Δz and the estimated change in z dz as (x,y) changes from (3, 9) to (2.95, 9.05).
statistical critical thinking and application skillsi. read the nature article sustainable trophy hunting of african
Write equations of the tangent and normal lines to the curve x3y+xy4 = 10 at (2,1). Find the points on the graph of the polynomial f(x) = 2x3 + 3x2 - 36x + 1 where the tangent line is horizontal
A man cycles with a speed of 10 km/h and reaches his office at 1 p.m. However, when he cycles with a speed of 15 km/h, he reaches his office at 11 a.m. At what speed should he cycles so that he reaches his office at 12 noon?
Write down the vector equation AND Cartesian equation of a plane P through the points V1, V2, and V3.
a high sxhool graduating class is made up of 462 students. There are 222 more girls than boys. How many boys are in the class?
part a nbsp nbspnbsp1. m mod nnbspnbsp will have values ranging fromnbsp 0 to n-1. nbsp nbspnbspt or f2. 42 mod 6 and
A garden table and a bench cost combined. The garden table costs more than the bench. What is the cost of the bench?
Evaluate the double integral over sigma of (F*n dS) in the following cases, Use Gauss' Theorem and/or symmetry whenever convenient.
In some chemical reactions, the rate at which the amount of a substance changes with time is proportional to the amount present. For the change of -glucono lactone into gluconic acid, for example, when is measured in hours.
Consider the function f(t) defined on the interval 0 ≤ t
Find the average height of the "ceiling" in the figure defined by z = y2 sin x for 0 ≤ x ≤ π, 0 ≤ y ≤ 7.
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