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Find the solutions of the exponential equation
e^2x-5e^x+6=0
x1=?x2=?
with x1<x2
Write the converse of this statement. Is the converse true. Explain. Write the contrapositive of this statement. Is the converse true. Explain.
Find the polynomial of degree five whose graph goes through the points (0,5), (1,-1), (2,5) and whose slope at x=0 is -1, at x=1 is -2, and at x=2 is 3.
What proportion is between 150 and 140 centimeters
Find the arc length of the parametric curve x = 3 cos t, y = 3 sin t, z = 4t; 0
A 240 horsepower car beginning at a stop goes 1/10 of a mile. At optimum performance, what is the maximum speed in miles per hour the car can reach? Feet per minute?
minimum spanning tree of a weighted graph is a graph that is drawn with the length of each edge roughly proportional to the value assigned to each edge - Draw a hexagon with vertices and determine the Minimal Spanning Tree in Graph
A poll states that 30% of the workers in a large company have new desks. If 6 workers are selected at random, what is the probability that at least one worker has a new desk?
If the school cafeteria serves meat loaf, there is a 70% chance that they will serve peas. If they do not serve meat loaf, there is a 30% chance that they will serve peas anyway.
Write as a system of 2 equations in 2 unknowns. Solve each system by substitution and show each step. Perimeter of a rectangle : the length of a rectangular swimming pool is 15 feet longer than the width.
You are experimenting with designs for a fruit bowl with a square base. The general idea is to attach congruent regular polygons to the sides of the base and "fold them up" until the closest edges of adjacent polygons meet.
Let L:R^n -->R^n be a linear operator on R^n. suppose that L(x) = 0 for some x does not equal 0. Let A be the matrix representing L with respect to standard basis. Show that matrix A is singular.
A cyclic group is a special kind of group that has many similarities with modular arithmetic.
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