Calculus Answers

Write the expression in standard form.
six divided by quantity four minus thirteen i.

- twenty four divided by one hundred and eighty five. - seventy eight divided by one hundred and eighty five. i

twenty four divided by one hundred and eighty five. + seventy eight divided by one hundred and eighty five. i

- twenty four divided by one hundred and eighty five. + seventy eight divided by one hundred and eighty five. i

twenty four divided by one hundred and eighty five. - seventy eight divided by one hundred and eighty five. i

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Find a cubic function with the given zeros.

Square root of seven., -Square root of seven., -4

f(x) = x3 + 4x2+ 7x - 28

f(x) = x3 + 4x2 - 7x - 28

f(x) = x3 - 4x2 - 7x - 28

f(x) = x3 + 4x2 - 7x + 28

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Find the zeros of the polynomial function and state the multiplicity of each.

f(x) = 3(x + 8)2(x - 8)3

-8, multiplicity 2; 8, multiplicity 3

4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1

-8, multiplicity 3; 8, multiplicity 2

4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3


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

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

-3

-61

26

-49

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Find the first six terms of the sequence.

a1 = -6, an = 4 • an-1

0, 4, -24, -20, -16, -12

-24, -96, -384, -1536, -6144, -24,576

-6, -24, -20, -16, -12, -8

-6, -24, -96, -384, -1536, -6144

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Find an equation for the nth term of the arithmetic sequence.

-15, -6, 3, 12, ...

an = -15 + 9(n + 1)

an = -15 x 9(n - 1)

an = -15 + 9(n + 2)

an = -15 + 9(n - 1)

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Find an equation for the nth term of the arithmetic sequence.

a14 = -33, a15 = 9

an = -579 + 42(n + 1)

an = -579 + 42(n - 1)

an = -579 - 42(n + 1)

an = -579 - 42(n - 1)

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Determine whether the sequence converges or diverges. If it converges, give the limit.

48, 8, four divided by three, two divided by nine, ...

Converges; two hundred and eighty eight divided by five

Converges; 0

Diverges

Converges; -12432


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Write the sum using summation notation, assuming the suggested pattern continues.

5 - 15 + 45 - 135 + ...

summation of five times threee to the power of the quantity n plus one from n equals zero to infinity

summation of five times negative three to the power of n from n equals zero to infinity

summation of five times thee to the power of n from n equals zero to infinity

summation of five times negative three to the power of the quantity n plus one from n equals zero to infinity

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