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Calculate the second-order partial derivatives.
f(x, y, z)= (x+y^2+z^3)^2
Use a graphing utility to graph A(x) and determine the dimensions of an open box with the smallest surface area possible.
A 62 foot guy wire makes an angle of 60 degrees with the ground and is attached to a pole. Find the distance from the base to the point on the pole where the wire is attached. Express your answer to the nearest tenth of a foot.
what is the probability that equivalence is indicated at 100 mL. what is the probability that equivalence is indicated at less than 100 mL
If Tom Bombadil's house is 24 miles east of Hobbiton and 32 miles south, what is the straight line distance.
Show that if @:R -> S is a ring homomorphism, then the ker(@) is an ideal of R and that @ is injective if.
A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 324 feet of fencing and does not fence the side along the street, what is the max area that can be enclosed?
Let K1 and K2 be finite extensions of F contained in the field K, and assume both are splitting fields over F. Prove that their composite K1K2 is splitting field over F.
Factorize and solve the given quadratic equation and Solving the given quadratic equation by using formula method
Describe how the Fibonacci sequence can be found in Pascal's triangle, then illustrate it using Pascal's triangle.
Conditional Probability: Ball Colour, An urn contains four coloured balls: two orange and two blue. Two balls are selected at random without replacement, and you are told that at least one of them is orange.
A spin system consists of spins that have a non-degenerate ground state and an m-fold degenerate excited state with energy ε. The spins are interacting so weakly that they be considered as independent.
Solve the questions on graphical representation of linear equations. Show all of your work and plot the graphs using the EZGraph tool.
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