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Recent questions tagged bounded


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At noon the minute and hour hands of a clock coincide.
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At noon the minute and hour hands of a clock coincide.At noon the minute and hour hands of a clock coincide. a) What in the first time, \(T_{1}\), when they are perpendicular? b) What is the next time, \ ...
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asked in Mathematics 13 hours ago
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State the Hoeffding inequality for bounded independent random variables
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Suppose that $f$ and $g$ are differentiable at $x$. Show that $f-g$ is differentiable at $x$ using the two linearity properties.
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What is the derivative of \(y = (\sin{x})^4\)?
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What is the derivative of \(y = (\sin{x})^4\)?What is the derivative of \(y = (\sin{x})^4\)? ...
by MathsGee Platinum
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asked in Mathematics Aug 14, 2021
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How you define a mathematical function?
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How you define a mathematical function?How you define a mathematical function? ...
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asked in Mathematics Jun 19, 2021
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Based on the table of values for the differentiable, invertible function $f$ and its derivative, evaluate $\left(f^{-1}\right)^{\prime}(2)$.

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The derivative of a function $f$ is given by $f^{\prime}(x)=e^{\sin x}-\cos x-1$ for $0<x<9$. On what intervals is $f$ decreasing?

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How do you show the function $f(x)$ has scaled horizontally?
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How do you show the function $f(x)$ has scaled horizontally?How do you show the function $f(x)$ &nbsp;has scaled horizontally? ...
by Pieter SIlver Status
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asked in Mathematics Jun 11, 2021
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How do you show the function $f(x)$ has shifted horizontally?
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How do you show the function $f(x)$ has shifted horizontally?How do you show the function &nbsp;$f(x)$ &nbsp;has shifted horizontally? ...
by Pieter SIlver Status
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asked in Mathematics Jun 11, 2021
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How do you show the function $f(x)$ has shifted vertically?
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How do you show the function $f(x)$ has shifted vertically?How do you show the function $f(x)$ has shifted vertically? ...
by Pieter SIlver Status
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asked in Mathematics Jun 11, 2021
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A lucky dip at a school fête contains 100 packages of which 40 contain tickets for prizes.
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A lucky dip at a school fête contains 100 packages of which 40 contain tickets for prizes.A lucky dip at a school f&amp;ecirc;te contains 100 packages of which 40 contain tickets for prizes. Let $X$ denote the number of prizes you win when ...
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asked in Data Science & Statistics May 30, 2021
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For the following piecewise-defined function, find $f(-1)$.
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For the following piecewise-defined function, find $f(-1)$.For the following piecewise-defined function, find $f(-1)$. $$ f(x)=\left\{\begin{array}{cl} 1-5 x &amp; \text { if } x&lt;-2 \\ x^{2}-2 x &amp; \text ...
by MathsGee Platinum
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asked in Mathematics May 30, 2021
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Find the range of the function $f: \mathbb{R} \rightarrow \mathbb{R}$ defined as $f(x)=\sin (x)$
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The table shows of values for the function $y=\frac{1}{2} x(5-x)$
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The table shows of values for the function $y=\frac{1}{2} x(5-x)$ The table shows of values for the function $y=\frac{1}{2} x(5-x)$ (a) $\quad$ Calculate the value of $\boldsymbol{p}$. (b) Draw the graph ...
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asked in Mathematics May 19, 2021
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Sketch the following sets in the complex plane $\mathbb{C}$ and determine whether they are open, closed, or neither; bounded; connected. Briefly state your reason.

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Show that if $f$ is differentiable on $(-\infty, \infty)$ and $f^{\prime}(t) \neq 1$ for all $t$. Prove that $f$ has at most one fixed point.
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Show that $f$ is continuous at all irrational numbers.
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Show that $f$ is continuous at all irrational numbers.Consider function $f$ defined on the real numbers as $$ f(x)=\left\{\begin{array}{cl} 0, &amp; \text { if } x \text { is irrational. } \\ 1 / n, &amp; ...
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asked in Mathematics May 10, 2021
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Show that the statement "If $S \subset \mathbb{R}$ contains a maximum and a minimum element, then $\mathrm{S}$ is compact" is false by finding a counterexample.

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Let $S$ be a non-empty open subset of $\mathbb{R}$ that is bounded above. Show that $\sup S$ exists but that $\max S$ does not exist.
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Let $I$ be a bounded function on $\mathbb{R}$ and define $f$ by $f(x)=x^{2} I(x)$. Show that $f$ is differentiable at $x=0$.
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What are confidence intervals instatistics?
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What are intervals?
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What are intervals?What are intervals? ...
by MathsGee Platinum
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asked in Mathematics Apr 26, 2020
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What is Closed Bounded Intervals and Uniform Convergence?
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What is Closed Bounded Intervals and Uniform Convergence?What is Closed Bounded Intervals and Uniform Convergence? ...
by MathsGee Platinum
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asked in Mathematics Apr 26, 2020
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