# Posts by kela

Total # Posts: 14

**American Government**

asserted national authority over the states

**calculus**

Use a linear approximation (or differentials) to estimate the given number. e0.01

**calculus**

Find the linearization L(x) of the function at a. f(x) = x3/4, a = 81

**calculus**

A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley on the dock that is 1 m higher than the bow of the boat. If the rope is pulled in at a rate of 1 m/s, how fast is the boat approaching the dock when it is 7 m from the dock? (...

**calculus**

A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 7 ft/s along a straight path. How fast is the tip of his shadow moving when he is 45 ft from the pole? ft/s

**calculus**

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing when the diameter is 80 mm? mm^3/s

**calculus**

A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 68°C, it is cooling at a rate of 1°C per minute. When does this occur? (Round your answer to two decimal places.)

**calculus**

A sample of a radioactive substance decayed to 94.5% of its original amount after a year. (Round your answers to two decimal places.) (a) What is the half-life of the substance? (b) How long would it take the sample to decay to 65% of its original amount?

**calculus**

A common inhabitant of human intestines is the bacterium Escherichia coli. A cell of this bacterium in a nutrient-broth medium divides into two cells every 20 minutes. The initial population of a culture is 51 cells. (a) Find the relative growth rate. (Assume t is measured in ...

**calculus**

Use implicit differentiation to find an equation of the tangent line to the curve at the given point. x2 + 2xy − y2 + x = 17, (3, 5) (hyperbola)

**calculus**

no its 9 to the power 8 to the power x to the power 2

**calculus**

find the derivative of 9^8^x^2

**chemistry ap!!!**

Neutron diffraction is an important technique for determining the structures of molecules. Calculate the velocity of a neutron needed to achieve a wavelength of 0.989 Å. i used the equation and got 4.37, but its not right! pleas help someone

**ethics**

I do not understand why so many people of different race is hating the fact that Obama is the President. You might as well accept it and as in my opinion Bush did put us in the recession and Obama can not put the United states in further debt or teouble as it is now.

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