The area of a spherical polygon of n sides on a sphere of radius r is given by where ? is the sum of the measures of the angles of the polygon in degrees. Use the formula to find the area of a spherical quadrilateral with angles of 84°, 84°, 111°, and 111° on the Earth, which has a radius of 1980 miles. Round to the nearest 10,000 square miles.


Mathematics

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Use Euler's method with the specified step size to estimate the value of the solution at the given point x*. Find the value of the exact solution at x*.y' = 2xex2, y(0) = 4, dx = 0.1, x* = 1

A. Euler's method gives y ? 5.7183; the exact solution is 6.2619 B. Euler's method gives y ? 5.4584; the exact solution is 5.7183 C. Euler's method gives y ? 6.0042; the exact solution is 5.9901 D. Euler's method gives y ? 4.9125; the exact solution is 5.4465

Mathematics

Write the expression in the standard form a + bi.(3 - 9i) + (5 + 5i)

A. 8 + 4i B. 8 - 4i C. -8 + 4i D. -2 + 14i

Mathematics

Sketch the graph of the function.y = cos (-3?x)

A.

B.

C.

D.

Mathematics

Combine like terms whenever possible. Write the result with descending powers.-4y8 - 7y7

A. -11y7 B. -11y15 C. Cannot be simplified D. -11y8

Mathematics