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Find derivatives of the following functions using differentiation rules:
For F (x,y) = e^(xcos(y)) find dF/dx, dF/dy, d^2F/dx^2, d^2F/dxdy
Evaluate lim x->2 for (5x^2 + 60x + 100)/ (x^3 + 4x^2 + 4x)
Find the intervals where g(x)=2x^3-96x^2+1440x-3676 is increasing and the intervals where it is decreasing.
For every xo in R, solve the initial value problem x' = IxI , x(0) = xo and show that the solution is unique on (minus infinity, plus infinity), where f (x) = I
Bob is a Formula 1 fan, lucky enough to obtain tickets for the last race of the season, and the tickets are excellent, facing the long straight part
Trigonometry and Plotting Trigonometric Equations. Two wheels are rotating in such a way that the rotation of the smaller wheel causes the larger wheel
Describe the transformations required to obtain the graph of the given function from a basic trigonometric graph.
Trigonometry Word Problems.The distance from home plate to dead center field in Sun Devil Stadium is 401 feet.
Asymptotes of Rational Functions and Inverse Trigonometric Functions.Rational functions, graph and show asymptotes.
Solve, finding all solutions in [0, 2? ) and [0, 360°). Ex? ress solutions in both radians and degrees.
Pythagorean Theorem : Point of Tangency. Radio and TV stations broadcast from high towers. Their signals are picked up by radios and TVs in homes
Applications of Trigonometry in Architecture.Trigonometry has many applications in the real world.
Trigonometry Word Problems : Radius and Circumference of the Earth.The engine of a sport car rotates at 5,000 revolutions per minute (rpm)
Building a Wheelchair Accessibility Ramp with Trigonometry. A contractor is building a wheelchair accessibility ramp for a business
Perpendicular lines - Geometry and Coordinate Geometry. "How can you determine if two lines are perpendicular?"
What would you use the Pythagorean Theorem for? List one example either from work or personal life or any other application.
Pythagorean Theorem Proofs. There are more than 50 ways to prove the Pythagorean theorem.
Trigonometry - Period and Amplitude. The model for the height of a tidal wave for a 24 hour period is given by H(t) = 1.25 + 0.85 cos 0.498(t - 1)
Draw a graph showing the height of the mass above the tabletop as a function of time for the first 3 seconds of its motion.
Trigonometry - Heights and Distances.The following chart shows some common angles with their degrees and radian measures
Application of Trigonometry for Surveying.To determine the distance to an oil platform in the Pacific Ocean from both ends of a beach
Using logarithms find the area of the following triangles.An isosceles triangle in which each of the equal sides
Important information about solving trigonometric equation.Solve the following, giving all positive values of the angle
Triangles used in solving word problems.Anne is pulling on a 60 foot rope attached to the top of a 48-foot tree while Walter