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let p(x) = 7- 3(x-4)+5(x-4)^2 - 2(x-4)^3 + 6(x-4)^4 be the fourth degree of polynomial for the function f about 4. Assume f has derivatives of all real orders
1. Find f(4) and f'''(4)2. Write the second degree Taylor polynomial for f' about 4 and its approximate f'(4.3).3. Write the fourth degree Taylor polynomial for g(x) =Â Â about 44. Can f(3) be determined from the information given? Justify your answer.
A triangle with base 2 m and height 3 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Give your answer correct to the nearest..
a ski lift that runs to the top of a hill has a rise of 1/9. The horizonal distance from the bottom of the lift to the center of the mountain is 7000 feet. How hight is the hill?
Postal regulations specify that a package sent by priority mail may have a combined length and girth of no more than 132 in. Find the dimensions of a cylindrical package with the greatest volume that may be sent by priority mail.
Does every graph have a spanning tree? If not, then can you tell from the number of nodes and the number of edges a graph has whether it has a spanning tree, or do you need more information?
Prove De Morgan's laws for sets by using set theory arguments
Find the Type II error value.
The minute hand on a watch is 5 mm long and the hour hand is 4 mm long. How fast is the distance between the tips of the hands changing at one o'clock? (Round your answer to one decimal place.)
Traders often buy foreign currency in hope of making money when the currency's value changes. For example, on February 17, 2006, one U.S. dollar could purchase 0.8382 Euros, and one Euro could purchase 140.9687 yen.
Use a change of variables to find the volume of the solid region lying below the surface f(x,y)=x^2 and above the plane region bounded by the line 2y - x = 1, 2y â?" x = 0, x = 1, and x = 2.
Sketch the region enclosed between 2 - z = x2 + y2 and z2 = x2 + y2. Describe their curve of intersection
The monthly cost in dollars of a phone plan is a linear function of the calling time in minutes. The monthly cost for 40 minutes of calls is $14.18 and the monthly cost for 96 minutes is $19.22.
Find the solutions of the exponential equation
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