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Consider the relation defined by the equation tan y = x + y for x in the open interval 0 is less than or equal to x which is less than 2pi
Using the table of information for differentiable functions f(x) and g(x) at x = 2 and x=3, determine the derivative below.
Water is running out of a conical funnel at the rate of 1 cubic inch per second. If the radius of the top of the funnel is 4 inches and the height is 8 inches
Explain how to prove the following. Let p(x) = Ax^2 + Bx + C
Please indicate if each statement is true or false and if false please explain why
Building a Ski-ramp.Write an inequality in the variable x for the degree measure of the smallest angle of a triangle given that the degree measure
A company is constructing an open-top, square-based, rectangular metal tank that will have a volume of 66 ft^3. What dimensions yield the minimum surface area?
Show that there is a point P with x-coordinate 3 at which the line tangent to the curve at P is horizontal. Find the y-coordinate of P.
A tightrope is stretched 30 ft above the ground between Building 1(at point A) and Building 2( point B), which are 50 ft apart.
A plane flying with a constant speed of 24 km/min passes over a ground radar station at an altitude of 9 km and climbs at an angle of 40 degrees
At noon, ship A is 60 nautical miles due west of ship B. Ship A is sailing west at 19 knots and ship B is sailing north at 25 knots.
Finding the Centroid of a Triangle. Using the fact that the centroid of a triangle lies at the intersection of the triangle's medians
Use a graphing utility to graph f and g in the same window and determine which is increasing at the faster rate for "large" values of x.
In an autocatalytic chemical reaction, the product formed is a catalyst for the reaction. If Q sub zero is the amount of the original substance
Non-Euclidean Geometry on a Sphere. Suppose instead of working on the Euclidean plane we study geometry on a sphere in (Euclidean) three space
Sketch a graph of a function f have the indicated characteristics. Please explain.
S represents weekly sales of a product. What can be said of S' and S'' for each of the following? (a) the rate of change of sales is increasing
Find the measures of the three angles to the nearest degree.
Angles in a triangle. In a triangle the sum of the angles is 180 degrees. If Angle A is four times Angle B and Angle C is 27 degrees more than three times Angle
Determine an equation for the line tangent to the graph of y= xe^x at the point on the graph were x=2
It costs Sugarco 25 cents/lb to purchase the first 100 lb of sugar 20 cents/lb to purchase the next 100 lb and 15 cents to buy each additional pound.
Describe the relationship between a triangle's centroid and orthocenter. Do they need to be inside the triangle?
The U. S. Postal Service will accept a box for domestic shipment only if the sum of its length and girth (distance around) does not exceed 108
Two sides and an angle (SSA) of a triangle are given. Determine whether the given measurements produce one triangle, two triangles, or no triangle
A rectangular package can have a maximum combined length and girth (perimeter of a cross section) of 108 inches. Find the dimensions of the package of maximum