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Evaluate \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-\frac{1}{2} x^{4}-2 x^{3}+\frac{1}{2} \sqrt{x^{5}} \]

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Find \(h^{\prime}(x)\) using the rules for differentiation: \[ h(x)=2 x^{2}+4 x-1 \]
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Given: \[ a=\frac{1}{2} y^{3}+5 y+2 \] Determine \(\frac{d}{d y} a\) using the rules for differentiation.

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Calculate \(h^{\prime}(y)\) for: \[ h(y)=-8 y^{3}-7 y^{2}+y^{1,5}+3 y^{0,8} \]
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Find \(D_{x} h(x)\) using the rules for differentiation: \[ h(x)=6 x^{4}-6 x^{3}-5 x^{2} \]
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Find \(\frac{d}{d x} f(x)\) using the rules for differentiation: \[ f(x)=-3 x^{2}-6 x+6 \]
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How do I compute confidence intervals?
1 answer 19 views
How do I compute confidence intervals?How do I compute confidence intervals? ...
by Pieter SIlver Status
(18,455 points)
asked in Data Science & Statistics Jan 8
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What is the formula for probability of the union of two events?
1 answer 179 views
What is the formula for probability of the union of two events?What is the formula for probability of the union of two events? ...
by MathsGee Platinum
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asked in Data Science & Statistics Jul 29, 2021
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How do I compute the probability of the union of two events?
1 answer 68 views
How do I compute the probability of the union of two events?How do I compute the probability of the union of two events? ...
by MathsGee Platinum
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asked in Data Science & Statistics Jul 29, 2021
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What are the main sets of numbers in mathematics?
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What are the main sets of numbers in mathematics?What are the main sets of numbers in mathematics? ...
by MathsGee Platinum
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asked in Mathematics Jul 29, 2021
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if a×b ={(3,2) (3,5) (5,2) (5,4)} then find a and b​
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if a×b ={(3,2) (3,5) (5,2) (5,4)} then find a and b​if a×b ={(3,2) (3,5) (5,2) (5,4)} then find a and b​ ...
by MathsGee Platinum
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asked in Mathematics Jun 19, 2021
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What is the relationship between sets, subsets and intervals?
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How tall is the bronze statue of Nelson Rolihlahla Mandela at the Union Buildings?
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Classify the numbers as members of the following set or sets:
1 answer 51 views
Classify the numbers as members of the following set or sets:Classify the numbers as members of the following set or sets: $\begin{array}{llll}\text { A. Natural Numbers } & \text { B. Whole Numbers } & ...
by MathsGee Platinum
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asked in Mathematics Jun 11, 2021
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If $|z-4|<|z-2|$, its solution is given by
1 answer 87 views
If $|z-4|<|z-2|$, its solution is given byIf $|z-4|&lt;|z-2|$, its solution is given by 1) $\operatorname{Re}(z)&gt;0$ 2) $\operatorname{Re}(z)&lt;0$ 3) $\operatorname{Re}(z)&gt;3$ 4) $\opera ...
by MathsGee Platinum
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asked in Mathematics Jun 9, 2021
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$R$ is an equivalence relation but $S$ is not an equivalence relation
1 answer 42 views
$R$ is an equivalence relation but $S$ is not an equivalence relationConsider the following relations : $R=\{(x, y) \mid x, y$ are real numbers an $x=w y$ for some rational number $\mathbf{w}\}$; $S=\left\{\left(\frac{m ...
by MathsGee Platinum
(106,962 points)
asked in Mathematics Jun 9, 2021
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If $A, B$ and $C$ are three sets such that $A \cap B=A \cap C$ and $A \cup B=A \cup C$, then
1 answer 77 views
If $A, B$ and $C$ are three sets such that $A \cap B=A \cap C$ and $A \cup B=A \cup C$, thenIf $A, B$ and $C$ are three sets such that $A \cap B=A \cap C$ and $A \cup B=A \cup C$, then 1) $A=B$ 2) $A=C$ 3) $B=C$ 4) $A \cap B=\phi$. ...
by MathsGee Platinum
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asked in Mathematics Jun 9, 2021
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Lemma: Let $\sim$ be an equivalence relation on A for $\forall^{\prime} a, b \in A$.
1 answer 48 views
Lemma: Let $\sim$ be an equivalence relation on A for $\forall^{\prime} a, b \in A$.Lemma: Let $\sim$ be an equivalence relation on A for $\forall^{\prime} a, b \in A$. Then either $\operatorname{cl}(a) \cap \operatorname{cl}(b)=\empt ...
by Student SIlver Status
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asked in Mathematics May 28, 2021
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Determine whether each of the following sets is countable or uncountable.
1 answer 315 views
Determine whether each of the following sets is countable or uncountable.Determine whether each of the following sets is countable or uncountable. a. $A=\{x \in \mathbb{Q} \mid-100 \leq x \leq 100\}$ b. $B=\{(x, y) \mid x ...
by Student SIlver Status
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asked in Mathematics May 22, 2021
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What is the difference between countable and uncountable infinite sets?
1 answer 227 views
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If the universal set is given by $S=\{1,2,3,4,5,6\}$, and $A=\{1,2\}, B=\{2,4,5\}, C=\{1,5,6\}$ are three sets, find the following sets:
1 answer 414 views
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What is the distributive law in set theory?
1 answer 88 views
What is the distributive law in set theory?What is the distributive law in set theory? ...
by MathsGee Platinum
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asked in Mathematics May 22, 2021
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Does the intersection of sets generalize for many sets?
1 answer 56 views
Does the intersection of sets generalize for many sets?Does the intersection of sets generalize for many sets? ...
by MathsGee Platinum
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asked in Mathematics May 22, 2021
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How do we define the intersection of two sets A and B?
1 answer 220 views
How do we define the intersection of two sets A and B?How do we define the intersection of two sets A and B? ...
by MathsGee Platinum
(106,962 points)
asked in Mathematics May 22, 2021
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