Løs pi({left(95/2right)}^2 | Microsoft Problemløser til matematik

\pi ( { \left( \frac{ 95 }{ 2 } \right) }^{ 2 }

Evaluer

\frac{9025\pi }{4}\approx 7088,218424662

Løsningsvejledning

\pi ( { \left( \frac{ 95 }{ 2 } \right) }^{ 2 }

Beregn \frac{95}{2} til potensen af 2, og få \frac{9025}{4}.

\pi \times \frac{9025}{4}

Quiz

5 problemer svarende til:

\pi ( { \left( \frac{ 95 }{ 2 } \right) }^{ 2 }

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How i could prove this:F(x)=\int_{0}^{\pi/2} \cos^{x}\! \theta \cos(x\theta){\mathrm{d}}\theta= \frac{\pi}{2^{a+1}}, \quad

https://math.stackexchange.com/questions/849826/how-i-could-prove-thisfx-int-0-pi-2-cosx-theta-cosx-theta-m

\newcommand{\+}{^{\dagger}} \newcommand{\angles}[1]{\left\langle\, #1 \,\right\rangle} \newcommand{\braces}[1]{\left\lbrace\, #1 \,\right\rbrace} \newcommand{\bracks}[1]{\left\lbrack\, #1 \,\right\rbrack} \newcommand{\ceil}[1]{\,\left\lceil\, #1 \,\right\rceil\,} \newcommand{\dd}{{\rm d}} \newcommand{\down}{\downarrow} \newcommand{\ds}[1]{\displaystyle{#1}} \newcommand{\expo}[1]{\,{\rm e}^{#1}\,} \newcommand{\fermi}{\,{\rm f}} \newcommand{\floor}[1]{\,\left\lfloor #1 \right\rfloor\,} \newcommand{\half}{{1 \over 2}} \newcommand{\ic}{{\rm i}} \newcommand{\iff}{\Longleftrightarrow} \newcommand{\imp}{\Longrightarrow} \newcommand{\isdiv}{\,\left.\right\vert\,} \newcommand{\ket}[1]{\left\vert #1\right\rangle} \newcommand{\ol}[1]{\overline{#1}} \newcommand{\pars}[1]{\left(\, #1 \,\right)} \newcommand{\partiald}[3][]{\frac{\partial^{#1} #2}{\partial #3^{#1}}} \newcommand{\pp}{{\cal P}} \newcommand{\root}[2][]{\,\sqrt[#1]{\vphantom{\large A}\,#2\,}\,} \newcommand{\sech}{\,{\rm sech}} \newcommand{\sgn}{\,{\rm sgn}} \newcommand{\totald}[3][]{\frac{{\rm d}^{#1} #2}{{\rm d} #3^{#1}}} \newcommand{\ul}[1]{\underline{#1}} \newcommand{\verts}[1]{\left\vert\, #1 \,\right\vert} \newcommand{\wt}[1]{\widetilde{#1}} ...

Inverse of 2d function involving sine and cosine

https://math.stackexchange.com/q/868337

Let's write (u,v) = \Big( \sin(x-y) \:\: , \:\: \frac{1}{2} \cos(x-y) - \frac{1}{2} \cos(x+y) \Big) As Daniel Fischer noted, x-y=\arcsin u\tag1 because -\pi/2\le x-y\le \pi/2. Furthermore, ...

Find \iint xy(x^2 + y^2)^{1/2} \, \mathrm dA

https://math.stackexchange.com/questions/325096/find-iint-xyx2-y21-2-mathrm-da

Alternatively, you can consider the region as pairs (x,y) with x\in[0,1] and y\in [\sqrt{1-x^2},1]: \int_{0}^1 \int_{\sqrt{1-x^2}}^1 xy\sqrt{x^2+y^2} dy dx For any particular x, it is easy ...

Estimate \int_0^{\infty} 1/\sqrt{1+x^4} \mathrm{d}x

https://math.stackexchange.com/questions/648834/estimate-int-0-infty-1-sqrt1x4-mathrmdx

\newcommand{\+}{^{\dagger}}% \newcommand{\angles}[1]{\left\langle #1 \right\rangle}% \newcommand{\braces}[1]{\left\lbrace #1 \right\rbrace}% \newcommand{\bracks}[1]{\left\lbrack #1 \right\rbrack}% \newcommand{\ceil}[1]{\,\left\lceil #1 \right\rceil\,}% \newcommand{\dd}{{\rm d}}% \newcommand{\down}{\downarrow}% \newcommand{\ds}[1]{\displaystyle{#1}}% \newcommand{\equalby}[1]{{#1 \atop {= \atop \vphantom{\huge A}}}}% \newcommand{\expo}[1]{\,{\rm e}^{#1}\,}% \newcommand{\fermi}{\,{\rm f}}% \newcommand{\floor}[1]{\,\left\lfloor #1 \right\rfloor\,}% \newcommand{\half}{{1 \over 2}}% \newcommand{\ic}{{\rm i}}% \newcommand{\iff}{\Longleftrightarrow} \newcommand{\imp}{\Longrightarrow}% \newcommand{\isdiv}{\,\left.\right\vert\,}% \newcommand{\ket}[1]{\left\vert #1\right\rangle}% \newcommand{\ol}[1]{\overline{#1}}% \newcommand{\pars}[1]{\left( #1 \right)}% \newcommand{\partiald}[3][]{\frac{\partial^{#1} #2}{\partial #3^{#1}}} \newcommand{\pp}{{\cal P}}% \newcommand{\root}[2][]{\,\sqrt[#1]{\,#2\,}\,}% \newcommand{\sech}{\,{\rm sech}}% \newcommand{\sgn}{\,{\rm sgn}}% \newcommand{\totald}[3][]{\frac{{\rm d}^{#1} #2}{{\rm d} #3^{#1}}} \newcommand{\ul}[1]{\underline{#1}}% \newcommand{\verts}[1]{\left\vert\, #1 \,\right\vert} ...

Optimization and window area

https://math.stackexchange.com/questions/367643/optimization-and-window-area

OK, I spotted the error: when you wrote the expression (which Anil Baseski repeated) for the perimeter, you used the circumference of a circle written as C = \pi d. However, the "lunette" of the ...

Factor polynomials

https://math.stackexchange.com/questions/3057871/factor-polynomials

x^4-23x^2+1=x^4+2x^2+1-25x^2=(x^2-5x+1)(x^2+5x+1). 2x^2-5xy+2y^2-ax-ay-a^2= =2x^2-5xy+2y^2+\frac{1}{4}(x+y)^2-\frac{1}{4}(x+y)^2-a(x+y)-a^2= =\frac{9}{4}(x-y)^2-\left(\frac{1}{2}(x+y)+a\right)^2= ...

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\pi \times \frac{9025}{4}

Beregn \frac{95}{2} til potensen af 2, og få \frac{9025}{4}.

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