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1. Let g(x, y, z) = ex y + z ln y. Calculate the gradient of g.
2. Use the methods of this section to find an equation for the plane tangent to the surface defined by the equation 3xy + z2 - 4 = 0 at the point (1, 1, 1).
Consider the basis B={(3,2),(1,-4)} for R^2, Use the Gram-Schmidt process to rewrite this basis as an orthonormalized basis.
An oil tank is shaoed like a right circular cylinder of diameter 4 ft. Find the total fluid force against one end when the axis is horizontal and the tank is half filled with oil of weight density 50 lb/ft^3.
Calculate the value of the sample correlation coefficient between weekly sales & shelf space.
The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts of protein and vitamins. Ingredient A provides 16 units of protein and 4 units of vitamins per pound. Ingredient B provi..
A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out, express in simplest correct mathematical form, and include..
How far from the firing point will the projectile be when it is 70 feet high? What is x? What is h(x)? Which are you being given and which do you need to find?
Health care costs in the United States have grown at an average rate of 4.8% between 1990 and 1999, and in 1999 they accounted for 10% of the U.S. GDP. If health care costs continue to grow at this rate and GDP continues to expand at a 2% aver..
How can you identify the Dependent and independent variables in a real world situation modeled by a graph?
A grocer has three baskets of peaches. One holds 45 peaches and weighs 19 pounds, a second holds 55 peaches and weighs 23 pounds, and the third holds 65 peaches and weighs 26 pounds. what is the mean weight of a peach?
Determine the circumference of a circle circumscribed about a square, an equilateral triangle, a regular hexagon, a right triangle
mr. stevenson is ordering shirts and hats for his boy scout troop. there are 45 scouts in the troop. hats come in packs
Health Care is 7%, Clothing is 6%, and Miscellaneous is 11%. To the nearest dollar, how much will be spent to provide housing for the child?
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