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Consider the circle with the equation x2+y2=4. Determine:
a) a formula for dy/dx using implicit differentiation
b) the slope of the line tangent to the circle at the point (1, √3).
c) any points on the graph where the line(s) tangent to the curve is horizontal. Give answer in an ordered pair.
What is the probability that all four have NASCAR as their favorite?
A square's side is increased by 7 yards, which corresponds to an increase in the area by 217 square yards. How many yards is the side of the initial square?
calculate the flat rate interest per annum when $2000 to be paid in 52 weekly instalments of $42.50
1. Study the stability of the limit cycle r=1 for the system given in polar coordinates by the equations r ? =(r^2 -1)(2x-1) , φ ? =1 . (where x=rcosφ ).
If you have 284 feet of fencing and want to enclose a rectangular area up against a long, straight wall, what is the largest area you can enclose? Give your answer correct to the nearest square foot.
A solid is generated by revolving the region bounded about the y-axis. Find a first-degree polynomial function P1 whose value and slope agree with the value and slope of f at x = c.
Find the work needed to pump all the water out of the pyramid, assuming water is pumped out through an outflow pipe 1m from the top of the pyramid. Take the gravitational constant as 9.8m/s2.
A consumer's group is concered that the soup contains more sodium that what is listed on the can. A sample of 30 cans had a mean sodium content of 975mg per serving and a sample standard deviation of 60mg. Do the cans contain more than 950 mg of s..
Please read the following scenario and complete the requirements below. Use the data set below and the results you developed from your previous Application Assignments to complete this assignment. You may create your assignment using either Micros..
Angle of Elevation A fish is reeled in at a rate of l foot per second from a point 10 feet above the water (see figure). At what rate is the angle between the line and the water changing when there is a total of 25 feet of line out?
Find the rate of change.
f(x)= the square root of x^2+1 and [0,4] . Use the midpoint rule with 4 rectangles to approximate the area bounded by f(x) and the x axis.
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