Evaluate the definite integral.
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Fill in the blank(s) with the appropriate word(s).


10

Mathematics

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Determine the symmetries of the curve.r = 3 cos ?

A. Origin only B. No symmetry C. x-axis only D. y-axis only

Mathematics

Identify the function's extreme values in the given domain, and say where they are assumed. Tell which of the extreme values, if any, are absolute.f(x) =  , -5 ? x < 5

A. local and absolute minimum: 0 at x = -5;  local and absolute maximum: 5 at x = 0 B. no local extrema; no absolute extrema C. local and absolute maximum: 0 at x = -5;  local and absolute minimum: 5 at x = 0 D. local and absolute minimum: 0 at x = -5 and x = 5;  local and absolute maximum: 5 at x = 0

Mathematics

A fixed point of f is a value of x that satisfies the equation f(x) = x; it corresponds to a point at which the graph of f intersects the line y = x. Find all the fixed points of the function. Use preliminary analysis and graphing to determine good initial approximations. Round approximations to six decimal places.f(x) = x2 - 5

A. x ? -1.291288, 2.291288 B. x ? -1.791288, 2.791288 C. x ? -2.291288, 2.291288 D. x ? -2.791288, 3.791288

Mathematics

Solve the problem.Jack went to two dealerships to find the best deal on the truck he plans to purchase. From which dealership should Jack buy the truck so that the total cost of the truck is the least expensive?

A. Dealership 1 B. Dealership 2

Mathematics