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Consider the curve 5x3+8xy+5y2 = 45. Use implicit differentiation to calculate the derivative dy/dx
Hence determine the point/s which has/have a horizontal tangent.
Let f be a surjection. Then f is an isomorphism iff the order of the element f(a) is equal to the order of the element a , for all a belong to G.
The following data summarizes the historical demand for a pr, Month Actual demand, March 20, April 25
Let G be a simple graph with no isolated vertex and no induced subgraph with exactly two edges. Prove that G is a complete graph. (Please read carefully the definition of an induced subgraph before you attempt to solve it!).
Create a system of linear equations from your own life. Keep in mind that a system of linear equations will consist of two equations using the same variables and the variables will represent the same thing for both equations
A power Station and a factory are on opposite sides of a river 60m wide. A cable must be run from the power station to the factory. it costs $25 per meter to run a cable in the river and $20 per meter on land.
Probability distribution. The high school GPA of applicants for admission to a college program are recorded and relative frequencies are calculated for the categories.
Four congruent quarters circle are drawn inside square of side length four centimeters f ind the shaded area
Find an equation for the surface consisting of all points that are equidistant from the point (-1,0,0) and the plane x = 1. Identify the surface.
Consider the k-out-of-n system (info on the system: A system consists of n independent components. Each component functions with probability p
Explain how the aggregate expenditure function shifts in response to changes in each of the following variables:
Confidence interval for Population mean
Consider the function f(x)=kx/(100-x), where f(x) is the cost incurred to remove x% of a pollutant from an environment. Examine the behavior near the vertical asymptote, and discuss the ramifications behind this.
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