Calculus Answers

Write a linear factorization of the function.

f(x) = x4 + 36x2

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State how many imaginary and real zeros the function has.

f(x) = x3 + 5x2 + x + 5


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Divide using synthetic division, and write a summary statement in fraction form.

2x^5-x^4+3x^2-x+5 / x-1

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Find the remainder when f(x) is divided by (x - k)

f(x) = 4x3 - 6x2 + 3x + 1; k= -2


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Divide f(x) by d(x), and write a summary statement in the form indicated.

f(x) = x4 - 4x3 + 2x2 - 4x + 1; d(x) = x2 + 1

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Use the Rational Zeros Theorem to write a list of all possible rational zeros of the function.

f(x) = 3x3 + 39x2 + 39x + 27'

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. What fraction of the volume of a sphere is taken up by the largest cylinder that can be fit inside the sphere?

the equation i =2.4e ^-6t gives the relationship between the instantaneous current,i mA, and the time, t seconds. plot a graph of i against t for values of t fro 0 to 0.6 seconds at 0.1 second intervals. use the curve obtained to find the rate of change when t=0.2 second and verify this result using different calculus

Find the indicated limit, if it exists.

limit of f of x as x approaches negative 10 where f of x equals negative 4 minus x when x is less than negative 10, 6 when x equals negative 10, and x plus 16 when x is greater than negative 10

6

0

16

The limit does not exist


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