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for the calculus II assignment provided below can you please provide step by step solutions for it.
Draw a Venn diagram and use it to find how many pupils take neither Physics nor Chemistry.
The Complement A of an r-subset A of {1,2...,n} is the (n-r)-subset of {1,2,...,n} consisting of all those elements that do not belong to A. Let M= C(n,r), the number of r subsets and at the same time the number of (n-r)
The base of an aquarium with volume V = 250 is made of slate and the sides are made of glass. If slate costs five times as much (per unit area) as glass, find the dimensions of the aquarium that minimize the cost of the materials.
A function f is continuous on interval [1,3]. A horizontal line is drawn somewhere between the lines y=f(1) and y=f(3). According to the intermediate value theorem, how many times is such a line guaranteed to intersect the graph of f(x)?
To make a conjecture about the tangent lines and the graph with the proof of the conjecture - Find the distance between the functions is greatest, and prove your conjecture.
What are the different forms of linear equations in two variables? Show an example of each form. How does the sign or value of the slope determine its type (i.e. whether it is +ve, -ve, undefined, or zero)?
Given that the acceleration vector is a(t) = (-9cos(-3t)) i + (-9sin(-3t)) j + (-2t) k , the initial velocity is v(0) = i + k , and the initial position vector is r(0) = i+j+k , compute:
Suppose (V, | * |) is a normed space. If x, y E V and r is a positive real number, show that the open r-balls Br(x) and Br(x + y) in V are homeomorphic.
A truncated pyramid is what is left when a plane parallel to the base cuts off the top. If a regular hexagon pyramid is truncated half way from the base to the top, what is the volume of the truncated solid if each base edge is 36 and each lateral..
using the substation Method or elimination Method. If you can show the work on how to solve these problem.
a hot air balloon rises and moves away from you. the total distance it travels is 1382 feet. the angle of elevatin from you to the balloon
Chandra has twice as much money as Nora. Nora has $6 less than Lian. Together they have $54. how much money does each have?
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