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If an open box has a square base and a volume of 106 in.3 and is constructed from a tin sheet, find the dimensions of the box, assuming a minimum amount of material is used in its construction.
A survey of 398 children given at a local elementary school showed that 175 like chocolate ice cream, 225 like pistachio ice cream, and 123 do not like chocolate or pistachio ice cream. How many children like at most one kind of ice cream mentione..
Prove using mathematical induction.
In a cube with side length 6, what is the volume of the tetrahedron formed by any vertex and the three vertices connected to that vertex by edges of the cube?
Determine Probability Distribution, In a certain carnival game a player pays $1 and then tosses a fair coin until either a "head" occurs or he has tossed the coin four times.
Application Problem 1G (Geometric application- See Appendix A in your textbook for formulas of geometric figures)
Explain how the pigeon-hole principle can be used to show that among any 11 integers, at least two must have the same last digit.
Find coefficients An and Bn such that this is satisfied.
Important information about Probability with dice, You roll a dice twice. What is the probability that you will roll each of the following pairs of numbers.
A circle is tangent to the y-axis at y=3 and has one x-intercept at x=1. Determine the other x-intercept
Use Gram-Schmidt algorithm to the sequence {x_1,x_2, x_3} to find an orthonormal basis of S. Use the result above to find the QR factorization of the matrix A=(x_1l x_2l x_3).
Derivative of the natural logarithm by using the fundamental theorem of calculus - Evaluate the derivative of y = ln x. This solution below is not complete.
Sketch the slope field for the ODE x'=(1-x^2)(sin(t)-x) . Sketch the slope fields for the solutions satisfying the given conditions: x(0)=0, x(0)=-0.5, x(0)=1, x(1)=1.5
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