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Find the centroid of the solid region which lies above the cone z = √(x2 + y2) and below the plane z = 6. (The centroid of a solid region is the same as the center of mass of a mass distribution occupying the same region which has constant density).
An average school bus holds 45 people. Sketch a graph showing the relationship between the number.
What is the probability of underfilling the bottles by at least 30ml?
How many members of the club plan to attend
(a) Prove that a closed k-form w on S^k is exact if and only if int_(S^k) w = 0. [Hint: dim H^k(S^k) = 1.](b) Conclude that the linear map int_(S^k): H^k(S^k) -> R is an isomorphism.
Show that the real part of the function z^(1/2) is always positive. Suppose f: G --> C ( C complex plane) is analytic and that G is connected. Show that if f(z) is real for all z in G, then f is a constant.
Suppose that at a certain instant the volume is 550 cubic cm, the pressure is 80 kPa, and the pressure is increasing at a rate of 100 kPa per min. At what rate is the volume decreasing at this instant?
to calculate the height of a tree susie measures the angle of elevation from a point a to be 34 deg. she measures her
A wire lies along the piecewise linear curve extending from the point (2,4) to the point (10,6) to the point (10,9). If the density of the wire is given by p(xy)=2xy+4x , use a line integral to find the mass of the wire. p=rho
The data in the Excel spreadsheet linked below provide information on the nutritional content (in grams per serving) of some leading breakfast cereals.
Finding the Probability from the given data - find the probability of getting no cracked candy canes.
What does literature offer an individual? How has the importance of reading changed from earlier eras (pre-digital/audio/visual media) to our present day? Do you think we read differently now than we did in prior generations? Do you think Clugston's ..
Prove the one point rule- ∃-version: |- (∃x)(x = t Λ A) ≡ A[x:= t] if x is sot free in t. Prove |- (∃x)(A Λ (∃y)(B Λ C)) ≡ (∃y)(B Λ (∃x)(A Λ C)), on the condition that y is not free in A and x is not free in B
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