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Consider the function:
a. Find the critical points.b. Find the local and absolute extreme values - justify your answers with derivatives and/or second derivatives.c. Find where the function is increasing and where it is decreasing.d. Find where the function is concave up and where it is concave down.e. Find any inflection points on the graph.
two cars leave a city and head the same direction. after 6 hours, the faster car is 48 miles ahead of the slower car. the slower car has traveled 252 miled. find the speeds of the two cars.
A cup of coffee at 173 degrees is poured into a mug and left in a room at 65 degrees. After 4 minutes, the coffee is 142 degrees. Assume that the differential equation describing Newton's Law of Cooling is (in this case) .
Assume that the nonzero complex numbers from group G with respect to multiplication. If a and b are real numbers and i=sqrt -1, the conjugate of the complex number a+bi is defined to be a-bi.
A line passes through the point (x,y)=(-9,6) and has a slope of 3. Write the equation of the line.
Creating matlab code using these linear algebra concepts. 1500 points for help with any of these! Preferably all but I've posted this multiple times and it seems no one can help
Find the work done in pulling the bucket to the top of the well (in ft-lb).
Primal LP and Optimal, Find the dual to this primal LP and its optimal solution
a sky diver jumping from a plane at a height of 5,000 feet. He will fall 16 feet in the first second. Thereafter, until the parachute opens, the distance fallen during each second will be 32 feet more than the distance fallen during the previous s..
The price of an instazoom camera increased from $75 to $90. Find the percent of increase in price.
Find the maximum rate of change of the function f(x,y,z) = (x^2 + y^2 + z^2)^0.5 at the point P(1,2,-2) and the direction in which it occurs.
What is the annual compound interest rate for an investment modeled by the function y=12*1.18x?
Construct the circle through the excenters of triangle ABC. How is its center related to the circumcenter and incenter of triangle ABC?
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