Calculus Answers

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 3i

show work please

Write the quadratic function in vertex form.

y = x2 + 16x + 74

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Find the axis of symmetry of the graph of the function.

f(x) = 3x2 + 12x + 7


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Suppose that 2 Joules of work is needed to stretch a spring from its natural length of 37 cm to a length of 48 cm. How much work is needed to stretch it from 48 cm to 71 cm?

Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

3, -13, and 5 + 4i

Find the area of the region bounded by y=x2 , y=x, x=0 and x=2 using
a) vertical strip method
b) horizontal strip method

If log(x^2+y^2) = tan^-1(y/x), Find dy/dx.

Using the given zero, find one other zero of f(x). Explain the process you used to find your solution.

2 - 3i is a zero of f(x) = x4 - 4x3 + 14x2 - 4x + 13.

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Write a polynomial function of minimum degree with real coefficients whose zeros include those listed. Write the polynomial in standard form.

4, -8, and 2 + 5i

help me please and show work