# Recent questions tagged bounded

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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.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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State the Hoeffding inequality for bounded independent random variables
State the Hoeffding inequality for bounded independent random variablesState 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.
Suppose that $f$ and $g$ are differentiable at $x$. Show that $f-g$ is differentiable at $x$ using the two linearity properties.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 $y = (\sin{x})^4$?
What is the derivative of $y = (\sin{x})^4$?What is the derivative of $y = (\sin{x})^4$? ...
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If there is a 30 percent probability that you will see a supercar in any 20-minute time interval, what is the proba­bility that you see at least one supercar in the period of an hour (60 minutes)?If there is a 30 percent probability that you will see a supercar in any 20-minute time interval, what is the proba&amp;shy;bility that you see at lea ...
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How you define a mathematical function?
How you define a mathematical function?How you define a mathematical function? ...
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Based on the table of values for the differentiable, invertible function $f$ and its derivative, evaluate $\left(f^{-1}\right)^{\prime}(2)$.
Based on the table of values for the differentiable, invertible function $f$ and its derivative, evaluate $\left(f^{-1}\right)^{\prime}(2)$. 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?
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?The derivative of a function $f$ is given by $f^{\prime}(x)=e^{\sin x}-\cos x-1$ for $0&lt;x&lt;9$. On what intervals is $f$ decreasing? ...
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How do you show the function $f(x)$ has scaled horizontally?
How do you show the function $f(x)$ has scaled horizontally?How do you show the function $f(x)$ &nbsp;has scaled horizontally? ...
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How do you show the function $f(x)$ has shifted horizontally?
How do you show the function $f(x)$ has shifted horizontally?How do you show the function &nbsp;$f(x)$ &nbsp;has shifted horizontally? ...
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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?How do you show the function $f(x)$ has shifted vertically? ...
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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 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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The function $f$ is differentiable on the interval $(0,4)$. If $f(1)=1$ and $f(3)=7$, then there is at least one $c$ in $(1,3)$ such that $f^{\prime}(c)=$
The function $f$ is differentiable on the interval $(0,4)$. If $f(1)=1$ and $f(3)=7$, then there is at least one $c$ in $(1,3)$ such that $f^{\prime}(c)=$The function $f$ is differentiable on the interval $(0,4)$. If $f(1)=1$ and $f(3)=7$, then there is at least one $c$ in $(1,3)$ such that $f^{\prime}( ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 For the following piecewise-defined function, find$f(-1)$. 0 answers 39 views For the following piecewise-defined function, find$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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the range of the function f: \mathbb{R} \rightarrow \mathbb{R} defined as f(x)=\sin (x) 1 answer 57 views Find the range of the function f: \mathbb{R} \rightarrow \mathbb{R} defined as f(x)=\sin (x)Find the range of the function f: \mathbb{R} \rightarrow \mathbb{R} defined as f(x)=\sin (x). ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The table shows of values for the function y=\frac{1}{2} x(5-x) 0 answers 58 views 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 ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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. 1 answer 453 views 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.Sketch the following sets in the complex plane \mathbb{C} and determine whether they are open, closed, or neither; bounded; connected. Briefly state ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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. 1 answer 83 views 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.Suppose that f is a real-valued function on (-\infty, \infty) . x is called a fixed point of f if f(x)=x. Show that if f is differentiable o ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Show that f is continuous at all irrational numbers. 1 answer 95 views 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; ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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. 1 answer 118 views 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.Show that the statement &quot;If$S \subset \mathbb{R}$contains a maximum and a minimum element, then$\mathrm{S}$is compact&quot; is false by findi ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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. 1 answer 206 views 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.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. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 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$x=0$. 0 answers 42 views 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$x=0$.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?
What are confidence intervals instatistics?What are confidence intervals instatistics? ...
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What are intervals?
What are intervals?What are intervals? ...
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What is Closed Bounded Intervals and Uniform Convergence?