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Question: Determine which sets of vectors are orthonormal. If a set is only orthogonal, normalize the vectors to produce an orthonormal set.
The dimensions of a closed rectangular box are measured as 95 cm, 52 cm, and 12 cm, respectively, with a possible error of 0.2 cm in each dimension. Use differentials to estimate the maximum error in calculating the surface area of the box.
Kernel of phi, Let phi is a homomorphism from Z30 onto a group order 3
A rectangular box without a lid is to be made from( 12 m^2 ) of cardboard. Compute the maximum volume of such a box using a method of Lagrange Multipliers.
a) Solve the formula for R. b) Use the new version of the formula to find R, the rate of simple interest, given that a deposit of $10,000 earned $5200 in simple interest when left in an account for 9 years. Write R as a percent.
Develop a system of equations that leads to prices at which each sector's income matches its expenses. Then write the augmented matrix that can be row reduced to find these prices.
The graph of the tilted ellipse x2 - xy + y2=3 is shown to the right. What are the dimensions and the location of the box containing the ellipse?
inverse functions1i let fxlnx3 sketch the mirror line of yx on the axes. sketch fx on the axes.ii indicate the domain
What are the practical uses of scientific notation? Why is scientific notation so important in modern-day society?
Obtain the matrix scatterplot (Graph Matrix plot) for all the continuous variables. Also, compute all pairwise correlations. Which variables seem to be related? Do the correlation values fully reect the extent of relationship between the variables..
One of the holes at a miniature golf course is in the shape of an ellipse. Under suchcircumstances, what is the total distance traversed by the ball if it just barely reaches the cup?
Model the problem of determining the equilibrium position of the mass m when loaded only by the weight of gravity. The model should be expressed as 3 equations in 3 unknowns
a. What is the maximum number of machines it canproduce? b. Use SolverTable to see how a change in the price of labor changes the optimal solution. c. Use SolverTable to see how a change in the price of capital changes the optimal solution.
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