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f(x, y, z) = x3 + x2y2z2 +z3
a) Find directional derivative at (1,1,1) along (1,0,1).
b) Find direction in which Du f(x,y,z) is maximal.
c) What is the value of Dmax f(x,y,z).
Find the equation of a line through (2,3,7) parallel to the line of intersection of the planes 2x + y + z = 0 and x-y +7z = 0.
A Dow Chemical bond carries a 9% coupon, pays interest semiannually, and has 10 years to maturity. What is the bond's yield to maturity if the bond is selling for $937.75?
If the cables to be delivered are selected at random, how many of the cables are expected to have a strength less than 1910 pounds?
If a person is 5 feet 4 inches tall, what effect does a 8% increase in weight have on S?
Use synthetic division to find the function values. f(x) = x^4 - 16; find f(3), f(-3), f(1 - square root of 5)
how many terms do you have to go for your approximation (your partial sum) to be within 0.01 from the convergent value of that series?
In order to solve the following system of equations by addition, which of the following could you do before adding the equations so that one variable will be eliminated when you add them?
find the surface area obtained by rotating the curve 9x=y^2+18, 2 is less than or equal to x which is less than or equal to 6.
Find the first five terms in the Taylor series about x = 0 for f(x). Find the interval of convergence for the series in part (a).
For the region bounded by y =2x2, y = 8, 0 ≤ x ≤ 2, please Sketch the region. Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region about the y-axis.
carolyn and kim are selling lemonade this summer. it cost .10 to make each cup of lemonade.they are going to sell each cup of lemonade for .25. what is the least number of cups of lemonade they need to collect $10 more than they spent?
Define an intercept in a parabolic graph. What are the number(s) of intercepts a quadratic graph may have? Explain your answer/ diagram etc. How do you compute the intercepts in a quadratic function?
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