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a) Find the linear approximating polynomial for the following function centered at the given point a
b) Find the quadratic approximating polynomial for the following function centered at the given point a
c) Use the polynomials obtained in parts a) and b) to approximate the given quantity.
ƒ(x)=x1/3 a=8 approximate (7.5)1/3
Calculate the mean, variance, and standard deviation of this distribution.
Find the angle between the diagonal of a cube of side length 3 and the diagonal of one of its faces. The angle should be measured in radians.
What is the largest domain over which this function is defined? For this domain, what is the corresponding range of the function?
A particle is moving along the curve y= 5sqrt(5 x + 11). As the particle passes through the point (5, 30), its x-coordinate increases at a rate of 3 units per second. Find the rate of change of the distance from the particle to the origin at this ..
A football is punted at a 50 degree angle and a linear velocity of 20 meters per second. What is its horizontal velocity? What is its vertical velocity?
finnish furniture manufactures tables in facilities located in three cities-reno denver and pittsburgh. the tables are
A revolving lighthouse is located 100 m from the nearest point P on a straight shoreline. The light makes one revolution every 30 seconds. Find the speed at which a ray of light from the lighthouse moves along the shore at a point 200 m from P.
A plain hamburger requires one ground beef patty and a bun.
You place a mirror on the ground 100ft away from a flag pole, You then back up from the mirror until you see the top of the flag pole in the mirror. If the distance from your eyes to the ground is 5 ft and you are standing 14ft from the mirror, how t..
Multimedia Kids Do our children spend as much time enjoying the outdoors and playing with family and friends as previous generations did?
find the general solution of the given differential equaion. give the largest interval I over which the general solution is defined. Determine whether there are any transient terms in the general solution.
What are the dimensions of a closed rectangular box that has a square cross section, a capacity of 104 in. cubed, and is constructed using the least amount of material? (Round your answers to two decimal places.)
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