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Calculus

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Q: For the function f(x)=e5x+e−x defined on the interval(−∞,1], find all intervals where the function i...

A: Find all the intervals for where the function is increasing and decreasing

Q: Find a power series representation for the function. f(x)=1/(5+x)

A: Given,

Q: solve the equation 2cos(x+ 7π/4)=√3 giving the exact solution which lie in [0,2π)

A: Divide by 2.

Q: Write an equation of the line containing the given point and parallel to the given line. Express you...

A: Find the equation of line passing through the point (7,9) and parallel to the given line x+9y=2

Q: f(x+h)-f(x) Simplify the difference quotient for the given function. f(x) 4x2-5x+5

A: First find f(x+h).Replace x by x+h in f(x)=4x^2-5x+5

Q: Calculus Question

A: The provided function is shown below.

Q: sin(0) for the angle e shown. Find tan(e) 2 3

A: Given figure is

Q: Evaluate the integral using the indicated trigonometric substitution 9x3 V9 x2 dx, x 3 sin(0) Note: ...

A: Given,

Q: Refer to the figure below. 11 9 18 (a) Find the angle opposite the longest side. (Round your answer ...

A: Given triangle is