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Compare linear and exponential growth

The equation of a circle is

(x-1)^{2}+(y-2)^{2}=36

. What are the center and radius of the circle?

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1

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(A) The center is

(1,2)

and the radius is

6

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B The center is

(1,-2)

and the radius is

6

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(C) The center is

(-1,2)

and the radius is

6

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D The center is

(1,2)

and the radius is

36

Evaluate the expression

\frac{5 \cdot x^{3}}{x^{2}}

x=2

\frac{1}{2}+4x=-x+2

, what is the value of

x

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1

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x=\frac{3}{10}

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x=\frac{1}{2}

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x=\frac{5}{6}

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x=\frac{15}{2}

\frac{1}{2}+\frac{2}{5}s=s-\frac{3}{4}

, what is the value of

s

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1

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s=\frac{3}{4}

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s=\frac{25}{12}

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s=-\frac{25}{12}

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s=-\frac{3}{4}

2+7z=-z-4

, what is the value of

z

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1

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z=-1

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z=-\frac{3}{4}

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z=-\frac{1}{3}

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z=-\frac{1}{4}

c(x)

d(x)

are differentiable. The function

r(x)

r(x)= \frac{c(x)}{d(x)}

c(6)= 7

c'(6)= 5

d(6)= 3

d'(6)= -2

r'(6)

? Simplify any fractions.

r'(6)=

f(x)

g(x)

are differentiable. The function

h(x)

h(x)= \frac{f(x)}{g(x)}

f(9)= 6

f'(9)= 4

g(9)= 2

g'(9)= -3

h'(9)

? Simplify any fractions.

h'(9)=

m(x)

n(x)

are differentiable. The function

z(x)

z(x)= \frac{m(x)}{n(x)}

m(7)= 3

m'(7)= -2

n(7)= 5

n'(7)= 3

z'(7)

? Simplify any fractions.

z'(7)=

a(x)

b(x)

are differentiable. The function

w(x)

w(x)= \frac{a(x)}{b(x)}

a(5)= 2

a'(5)= 1

b(5)= 4

b'(5)= 2

w'(5)

? Simplify any fractions.

w'(5)=

p(x)

q(x)

are differentiable. The function

v(x)

v(x)= \frac{p(x)}{q(x)}

p(8)= 4

p'(8)= 2

q(8)= 3

q'(8)= -1

v'(8)

? Simplify any fractions.

v'(8)=

s(x)

t(x)

are differentiable.

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u(x)

u(x)= \frac{s(x)}{t(x)}

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s(6)= 7

s'(6)= 5

t(6)= 9

t'(6)= 2

u'(6)

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Simplify any fractions.

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u'(6)=

g(x)

h(x)

are differentiable.

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i(x)

i(x)= \frac{g(x)}{h(x)}

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g(8)= 4

g'(8)= 3

h(8)= 2

h'(8)= -4

i'(8)

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Simplify any fractions.

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i'(8)=

u(x)

v(x)

are differentiable.

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w(x)

w(x)= \frac{u(x)}{v(x)}

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u(5)= 1

u'(5)= -2

v(5)= 3

v'(5)= 5

w'(5)

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Simplify any fractions.

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w'(5)=

a(x)

b(x)

are differentiable.

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c(x)

c(x)= \frac{a(x)}{b(x)}

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a(2)= 3

a'(2)= 4

b(2)= 6

b'(2)= 1

c'(2)

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Simplify any fractions.

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c'(2)=

p(x)

q(x)

are differentiable.

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r(x)

r(x)= \frac{p(x)}{q(x)}

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p(3)= 5

p'(3)= 2

q(3)= 7

q'(3)= -3

r'(3)

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Simplify any fractions.

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r'(3)=

s(x)

t(x)

are differentiable.

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u(x)

u(x)= \frac{s(x)}{t(x)}

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s(10)= 5

s'(10)= 3

t(10)= 2

t'(10)= -4

u'(10)

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Simplify any fractions.

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u'(10)=

m(x)

n(x)

are differentiable.

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o(x)

o(x)= \frac{m(x)}{n(x)}

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m(7)= 2

m'(7)= -1

n(7)= 4

n'(7)= 8

o'(7)

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Simplify any fractions.

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o'(7)=

a(x)

b(x)

are differentiable.

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c(x)

c(x)= \frac{a(x)}{b(x)}

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a(2)= 4

a'(2)= 5

b(2)= 1

b'(2)= -3

c'(2)

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Simplify any fractions.

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c'(2)=

u(x)

v(x)

are differentiable.

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w(x)

w(x)= \frac{u(x)}{v(x)}

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u(5)= 3

u'(5)= -2

v(5)= 7

v'(5)= 1

w'(5)

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Simplify any fractions.

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w'(5)=

p(x)

q(x)

are differentiable.

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r(x)

r(x)= \frac{p(x)}{q(x)}

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p(3)= 2

p'(3)= 4

q(3)= 6

q'(3)= 9

r'(3)

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Simplify any fractions.

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r'(3)=

f(x)

g(x)

are differentiable.

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h(x)

h(x)=\frac{g(x)}{f(x)}

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f(8)=1

f'(8)=-6

g(8)=8

g'(8)=-10

h'(8)

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Simplify any fractions.

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h'(8)=

Both of these functions grow as

x

gets larger and larger. Which function eventually exceeds the other?

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(A)f(x) = 8x + 3.3

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(B)g(x) = 3.3^x - 5

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