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POST SECONDARY
CALCULUS AND ANALYSIS
INTEGRAL CALCULUS
Secondary
Post Secondary
Algebra
Statistics and Probability
Calculus and Analysis
Integral Calculus
Integrals
Parametric equations, polar coordinates, and vector-v
Differential equations
Parametric equations, polar coordinates, and vector-valued functions
Transformation properties
Rational exponents and radicals
Decimals
Conic sections
Applications of integrals
Integral Calculus
Multivariable calculus
Differential Calculus
Analysis
Differential equations
Advanced Math
Differential equations
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Integral Calculus Answers
Parametric equations, polar coordinates, and vector-v
asked 2021-03-18
to what property does (-6 + 3 ) + 1 = -6 + (3 + 1) belong to
Rational exponents and radicals
asked 2021-03-18
The simplified form of the expression
\(\displaystyle{\sqrt[{{3}}]{{a}}}{\sqrt[{{6}}]{{a}}}\ \text{in radicalnotation is}\ \sqrt{a}.\)
Transformation properties
asked 2021-03-18
For large value of n, and moderate values of the probabiliy of success p (roughly,
\(0.05\ \Leftarrow\ p\ \Leftarrow\ 0.95\)
), the binomial distribution can be approximated as a normal distribution with expectation mu = np and standard deviation
\(\sigma = \sqrt{np(1\ -\ p)}\)
. Explain this approximation making use the Central Limit Theorem.
Parametric equations, polar coordinates, and vector-valued functions
asked 2021-03-18
Write a short paragraph explaining this statement. Use the following example and your answers Does the particle travel clockwise or anticlockwise around the circle? Find parametric equations if the particles moves in the opposite direction around the circle. The position of a particle is given by the parametric equations
\(x = sin t, y = cos t\)
where 1 represents time. We know that the shape of the path of the particle is a circle.
Differential equations
asked 2021-03-12
How to integrate
\(\displaystyle{{\cos}^{{2}}{\left({2}{x}\right)}}\)
?
Transformation properties
asked 2021-03-12
Complete the tasks to determine:
a)To graf: The function
\(g{{\left({x}\right)}}={2}^{{{x}-{4}}}.\)
b)The domain of the function
\(g{{\left({x}\right)}}={2}^{{{x}-{4}}}\)
in the interval notation.
c)The range of the function
\(g{{\left({x}\right)}}={2}^{{{x}-{4}}}\)
in the interval notation.
d)The equation of the asymptote of the function
\(g{{\left({x}\right)}}={2}^{{{x}-{4}}}.\)
Integrals
asked 2021-03-11
A variable force of
\(\displaystyle{9}{x}−{29}{x}−{2}\)
pounds moves an object along a straight line when it is xx feet from the origin. Calculate the work done in moving the object from
\(\displaystyle{x}={1}{f}{t},\to,{P}{S}{K}{x}={19}{f}{t}.\)
(Round your answer to two decimal places.)
Differential equations
asked 2021-03-11
\(\displaystyle{\left({b}\right)}{y}{''}+{y}′+{3}⋅{a}{5}{y}={0}\)
Conic sections
asked 2021-03-11
A solid is formed by cutting a conical section away a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?
Parametric equations, polar coordinates, and vector-v
asked 2021-03-09
Given
\(\displaystyle{r}′{\left({t}\right)}=⟨{\sec{{2}}}{t},−{\sin{{t}}}⟩\)
, find the arc length of the curve r(t) on the interval
\(\displaystyle{\left[−
Integrals
asked 2021-03-09
Show by substitution that
\(\displaystyle{u}{\left({x},{t}\right)}={\cos{{\left(απ{x}\right)}}}{e}^{
Applications of integrals
asked 2021-03-09
Evaluate the following integral.
\(\displaystyle\int{2}{x}{\left({1}-{x}^{{-{3}}}\right)}{\left.{d}{x}\right.}\)
Applications of integrals
asked 2021-03-09
Evaluate the following definite integral.
\(\displaystyle{\int_{{{0}}}^{{\pi}}}{x}{\sin{{x}}}{\left.{d}{x}\right.}\)
Integrals
asked 2021-03-09
Compute
\(\displaystyle{\int_{{0}}^{{2}}}\frac{{1}}{{{x}-{1}}}{\left.{d}{x}\right.}\)
Conic sections
asked 2021-03-09
The eccentricities of conic sections with one focus at the origin and the directrix corresponding and sketch a graph:
\(\displaystyle{e}={2},\)
\(directrix \displaystyle{r}=-{2} \sec{\theta}.\)
Decimals
asked 2021-03-09
Given
\(\displaystyle \sin{{\left(\alpha\right)}}=\frac{4}{{9}}{\quad\text{and}\quad}\pi\text{/}{2}<\alpha<\pi\)
,
find the exact value of
\(\displaystyle \sin{{\left(\alpha\text{/}{2}\right)}}.\)
Decimals
asked 2021-03-09
To calculate: The tax due on a condominium with an assessed value of $160,000. The property tax rateis
\(\displaystyle{6.3}\%.\)
Decimals
asked 2021-03-09
Calculate net price factor and net price.
Dollars list price
\(\displaystyle-{435.20}\$\)
Trade discount rate
\(\displaystyle-{26}\%,{15}\%,{5}\%.\)
Parametric equations, polar coordinates, and vector-valued functions
asked 2021-03-09
Graph the plane curve defined by the parametric equations:
\(x = t^2 + 1, y = 3t, -2 \leq t \leq 2\)
.
Integrals
asked 2021-03-09
Evaluate the integral
\(\displaystyle\int{e}^{{{3}{x}}} \cos{{2}}{x}{\left.{d}{x}\right.}\)
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