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Use the f'(x)= lim (h-0) f(x + h) - f(x)/h to find f'(x). b-) Find the domain of f'. c) Find and equation of the tangent line to the graph of f at P. d) Find the points on the graph a which the tangent line is horizontal.
f(x) = x^3 + x ; [1,2]
An electric charge is distributed throughout 3-space with density inversely proportional to the distance from the origin. Show that the total charge inside a sphere of radius R is proportional to R^2.
At the first tri-city meeting, there are 8 people from town A, 7 people from town B, and 5 people from town C. If a council consisting of 5 people is randomly selected, find the probability that 2 are from town A and 3 are from town B.
a market researcher investigating preference for 3 brands of beverages coffee tea and cocoa in kisumu city gathered the
A plane is flying horizontally at an altitude of 3 kilometres and at a speed of 480 km/h passes directly above an observer on the ground. How fast is the distance between the observer and the plane increasing 30 seconds later? At what rate is the ..
Write an ABEL program for a combinational logic function with five input bits N4-N0) representing an integer between 0 and 31 and two outputs M3 and M5 to indicate if the number is a multiple of 3 or 5.
what is the volume in cubic centimeters of a tablet weighing 330mg that has density of 1.40cm ?
Describe objects that have each of the following types of symmetry.
find the equation of the standard rectangular hyperbola.find the equation of the standard rectangular hyperbola whose
let s be the solid obtained by intersecting two cylinders of radius r whose axes intersect at an angle theta. find the volume of S as a function of r and theta.
calculate the flat rate interest per annum when $2000 to be paid in 52 weekly instalments of $42.50
Group Homomorphism and Abelian Groups, Let phi: G ---> H be a group homomorphism. Show that phi[G] is abelian if and only if for all x, y in G, we have xyx^(-1)y^(-1) in ker(phi).
find the margin of error for the given values of c s and n, and c=0.95, s=2.9,n=49
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