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ALGEBRA
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Functions Answers
Functions
asked 2021-03-18
Does
\(\displaystyle\sum−{1}^{{{n}}}{\ln{{2}}}{n}^{{{\frac{{{1}}}{{{n}}}}}}{)}\)
converge or diverge?
Functions
asked 2021-03-12
if
\(\displaystyle{f{{\left({n}+{2}\right)}}}={2}{f{{\left({n}\right)}}}+{f{{\left({n}+{1}\right)}}}\)
and f(1)=1 and f(2)=1 , what is f(8)-f(7) ?
Functions
asked 2021-03-11
Determine if each relationship is an additive relationship. Explain.
Input (x) Output (y) 4 5 7 9 10 13
Functions
asked 2021-03-09
Find the following limit or state that it does not exist.
Functions
asked 2021-03-09
The function given by
\(\displaystyle{f{{\left({x}\right)}}}=−{3}{x}^{{5}}+√{2}{x}+\frac{{1}}{{2}}{x}\)
(is/is not) a polynomial function.
Functions
asked 2021-03-09
Write
\(y = 2x + 7\)
using function notation.
Functions
asked 2021-03-08
y varies inversely as the square root of x,y=6 when x=100. Find yy when x=144.
Functions
asked 2021-03-07
Delia purchased a new car for $25,350. This make and model straight line depreciated to zero after 13 years. Determine the slope of the depreciation equation.
Functions
asked 2021-03-07
20 + 6y = –18 − 10y + 14y
Functions
asked 2021-03-05
Find the function f given that the slope of the tangent line at any point (x, f(x)) is f '(x) and that the graph of f passes through the given point.
\(f '(x)=5(2x − 1)^{4}, (1, 9)\)
Functions
asked 2021-03-05
Write a function based on the given parent function and transformations in the given order. Parent function: y = x³
Shift 4.2 units to the left. Reflect across the y-axis. Shift upward 2.3 units.
Functions
asked 2021-03-05
find curvature of the plane curve
\(\displaystyle{y}={\ln{{\left({\cos{{x}}}\right)}}}\)
Functions
asked 2021-03-04
State and explain the divergence theorem.
Functions
asked 2021-02-27
Form a polynomial f(x) with real coefficients the given degree and zeros. Degree 4, Zeros:, 4-4i, -5 multiplicity 2
Functions
asked 2021-02-27
5=2x+1 which inverse operation should you do first?
Functions
asked 2021-02-26
The population of a town increases according to the model
\(\displaystyle{P}{\left({t}\right)}={2500}{e}^{{0.0293}}{t}\)
, where t is the time in years, with t=0 corresponding to 1990. Use the modek to estimate the population in (a) 2000 and (b) 2010.
Functions
asked 2021-02-25
\((b) yy'=x\)
\((d) y'=\frac{e^{x}-y}{1+e^{x}}\)
Functions
asked 2021-02-25
Find f'(a).
\(f(t)= \frac{3t+3}{t+2}\)
Functions
asked 2021-02-25
\(\displaystyle\lim\)
of
\(\displaystyle{f{{\left({x},{y}\right)}}}={\frac{{{\left({x}^{{{4}}}+{4}{y}^{{{2}}}\right)}}}{{{\left({x}^{{{2}}}+{2}{y}^{{{2}}}\right)}}}}\)
at (0,0)
Functions
asked 2021-02-23
If
\(f(4) = 4\)
and
\(f '(x) \geq 2\)
for
\(4 \leq x \leq 7\)
, how small can f(7) possibly be?
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