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1. Calculate the gradient of g(x,y) = x sin y + ycos2 x
2. Calculate the directional derivative of f(x,y) = x2/3 + y2/3 at the point (1,2) in the direction of v ≤ -3, 5.
3. Calculate the directional derivative of g(x,y) = ln(x + ey) at the point (e. 1) in the direction of v ≤ e, 1.
A building is 172 feet tall. For a class project, Kari is to make a scale model of the building to place in the front hall display case. The display case is 22 inches tall. Which scale will allow her to make the tallest model that will fit in the ..
find a formula for Fx(X) and use this to compute the probability that the can falls off at a point on the first 319 feet of the belt.
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?
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?
plane can travel 490 miles per hour with wind and 410 miles per hour against the wind, find the speed of the plane in still air.
the sweet smell fertilizer company markets bags of manure labeled exactly 60 lb dry weight . the packaged manure is a
An anchor weighing 105 lb in water is attached to a chain weighing 2 lb/ft in water. Find the work done to haul the anchor and chain to the surface of the water from a depth of 30 ft.
A six-sided die is rolled and the number N on the upper face is recorded.
Find first and second partial derivatives of f (x, y) = x3 e1+2y + sin(x2 + y2). 2. Find ∂z/∂y if x3+ y3 + 4z2 + 6xyz = 1. Find the maximum rate of change of f(x, y) = x2y + √y at the point (2, 1). In what direction does it occur?
Use Newton's method to find the coordinates of the inflection point of the curve y = ecos(x),0 ≤ x ≤ π , correct to six decimal places.
Write an inequality to model each situation
how can the definition of a logarithm be used to evaluate log4
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