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For both problems, show supporting work and underline your answer. Please use MathType.
1.) Find the second derivative of f(x) = (4x+5)4 and evaluate it at x=3.
2.) Find the equation of the line tangent to the following curve at x = 1. Write your answer in y = mx + bformat.
Find the characteristic equation for the matrix below and determine its eigenvalues and the corresponding eigenvalues.
Angle of Elevation A fish is reeled in at a rate of l foot per second from a point 10 feet above the water (see figure). At what rate is the angle between the line and the water changing when there is a total of 25 feet of line out?
An urn contains a white balls and b black balls. After a ball is drawn, it is returned to the urn if it is white; but if itis black, it is replaced by a white ball from another urn. Let M(n) denote the expected number of white balls in the urn aft..
For the five-pointed star (pentagram), inscribed in the circles, find the measures of ∠1 and ∠2. If ST- ≅ TV-. Explain why ΔSTV is an isosceles triangle.
There is a diamond on the right of a diamond. What are the three cards. Please, show wok and solution.
Statistical procedure for developing a mathematical equation.
Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?
imagine a country path d in miles in length which a person walks at a steady pace in t hours. suppose that a straight
Consider the following function: y = f(x;a) = a2 + x - ax2 , where a > 0 is a parameter. Find the first order condition for a critical point of this function.
Identify any symbols you choose to use.
A moving body is opposed by a force per unit mass of value cx and resistance per unit mass value of bv^2 where x and v are the displacement and velocity of the particle at that instant. Determine the velocity of the particle in terms of x, if it s..
Given line XYZ, XZ=4n+6, find the value of n. XY=n-4, YZ=12+5n
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