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Recent questions tagged substitution


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Solve the simultaneous equations \(x+y=3\) and \(2 x^{2}+4 x y-y=15\)
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What is the derivative of \(\sinh (x)\) with respect to \(x\) ?
0 answers 50 views
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Solve the given system - or show that no solution exists: \[ \begin{aligned} x+2 y &=& 1 \\ 3 x+2 y+& 4 z=& 7 \\ -2 x+y-& 2 z=&-1 \end{aligned} \]
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Solve the equations for \(x, y\), and \(z\).
0 answers 86 views
Solve the equations for \(x, y\), and \(z\).Solve the equations for \(x, y\), and \(z\). \(x+0 y+3 z=2 \) \(2 x+3 y+2 z=1\) \(2 x+2 y+3 z=3\) HINT: If \(A=\left(\begin{array}{lll}2 & 3 & ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 20
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What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$
0 answers 47 views
What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$What is the most suitable substitution to use to solve the integral $\int \frac{1}{\sqrt{t^{2}-81}} d t ?$   A) $t=9 \sec \theta$.   B) ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 13
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The derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ is
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The derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ isThe derivative with respect to $x$ of $\int_{\frac{\pi}{7}}^{x} e^{t^{2}} \operatorname{cosec}(t) d t$ is   A) $e^{x^{2}} \operatorname{cosec}( ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 13
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Evaluate $\int_{1}^{2} \frac{1}{t+t^{2}} d t$ by completing the square and using trigonometric substitution. Show all your working. 

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Find $\int \sin ^{2} \theta \cos ^{2} \theta d \theta .$ Show all your working.
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Which of the following substitutions is most appropriate to evaluate $$ \int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ? $$
0 answers 41 views
Which of the following substitutions is most appropriate to evaluate $$ \int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ? $$Which of the following substitutions is most appropriate to evaluate $$ \int \frac{x^{4}}{\sqrt{x^{2}-1}} d x ? $$ A. $\quad x=\sqrt{u}$ B. $\quad x ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jan 13
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Solve the equation \( 8^{2 x-5}=2^{x+1} \)
1 answer 65 views
Solve the equation \( 8^{2 x-5}=2^{x+1} \)Solve the equation \( 8^{2 x-5}=2^{x+1} \) ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Nov 9, 2021
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Solve the system of equations below with Gauss-Jordan elimination. \[ \begin{aligned} x+y-z &=10 \\ 2 x-y-z &=3 \\ -3 x-3 y+3 z &=-30 \end{aligned} \]

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Solve the system of equations below with GaussJordan elimination. \[ \begin{aligned} x+\quad y+\quad z &=120 \\ 0.04 x+0.06 y+0.1 z &=6 \end{aligned} \]

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Solve the system of equations below with GaussJordan elimination. \[ \begin{aligned} x+\quad y &=10 \\ 0.08 x+0.12 y &=0.84 \end{aligned} \]
1 answer 111 views
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Solve the system of equations below with Gauss-Jordan elimination.
0 answers 60 views
Solve the system of equations below with Gauss-Jordan elimination.Solve the system of equations below with Gauss-Jordan elimination. \ \begin{aligned} &2 x+5 y=-6 \\ &-3 x+y=-8 \end{aligned} \ ...
by Siyavula Bronze Status
(7,450 points)
asked in Mathematics Sep 5, 2021
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Solve the system of equations by the Elimination Method. \[ \begin{aligned} &0.5 x-0.25 y=-0.5 \\ &-2 x+3 y=10 \end{aligned} \]
1 answer 166 views
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Solve the system of equations by the Elimination Method. \[ \begin{aligned} &0.1 x+0.3 y=1.4 \\ &9 x-3 y=-24 \end{aligned} \]
1 answer 158 views
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Solve the system of equations by the Elimination Method. \[ \begin{aligned} &-2 x-5 y=18 \\ &10 x+2 y=2 \end{aligned} \]
1 answer 137 views
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Solve the system of equations by the Elimination Method. \[ \begin{aligned} &2 x+3 y=-1 \\ &7 x-6 y=13 \end{aligned} \]
1 answer 169 views
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Solve the system of equations by the Substitution Method. \[ \begin{aligned} &2 x-3 y=4 \\ &5 x+2 y=29 \end{aligned} \]
1 answer 195 views
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Solve $x^{2} \pm 2 x=4$
0 answers 49 views
Solve $x^{2} \pm 2 x=4$Solve $x^{2} \pm 2 x=4$ ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Aug 27, 2021
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Solve for $x$ in $5 x+3=28$
1 answer 81 views
Solve for $x$ in $5 x+3=28$Solve for $x$ in $5 x+3=28$ ...
by Maths Genie Bronze Status
(5,550 points)
asked in Mathematics Aug 12, 2021
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Divide $x^{3}-3 x^{2}+3 x-1$ by $x-1$
1 answer 59 views
Divide $x^{3}-3 x^{2}+3 x-1$ by $x-1$Divide $x^{3}-3 x^{2}+3 x-1$ by $x-1$ ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jul 22, 2021
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$5(z+1)=3(z+2)+11$ Solve for $z$
1 answer 133 views
$5(z+1)=3(z+2)+11$ Solve for $z$$5(z+1)=3(z+2)+11$ Solve for $z$ ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jul 22, 2021
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Solve the simultaneous equations: $\frac{2}{\sqrt{x}}+\frac{3}{\sqrt{y}}=2$ and $\frac{4}{\sqrt{x}}-\frac{9}{\sqrt{y}}=-1$
1 answer 124 views
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Solve the simultaneous equations $a+b=4$ and $ 2 a+b=6$
1 answer 113 views
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Solve the simultaneous equation $4.9 x+1.5 y=38.3$ and $2.7 x-8.6 y=17.8$
1 answer 93 views
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Solve the simultaneous equations $3x+y=8$ and $x+2 y=6$
1 answer 141 views
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Solve the simultaneous equations: $3 x-y+z=5$; $2 x+2 y+3 z=4$ and $x+3 y-z=11$
1 answer 126 views
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Given the following simultaneous equations: $x+3 y=-1$ and $-3 x+6 y=8$, solve the given simultaneous equations by the substitution method.

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Solve simultaneous equations $y-3 x=5$ and $2 y+3 x=28$ by the method of elimination and substitution.
1 answer 95 views
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What is the value of 5t^2-7 when t=4?
1 answer 116 views
What is the value of 5t^2-7 when t=4?What is the value of $5t^2-7$ when $t=4$? ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Feb 13, 2021
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If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal?
1 answer 124 views
If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal? If r = 9, b = 5, and g= −6, what does (r + b − g)(b + g) equal? ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Aug 20, 2020
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If a = - 2 and b = 3 then a^2 – b^3 is equal to:
1 answer 82 views
If a = - 2 and b = 3 then a^2 – b^3 is equal to:If a = - 2 and b = 3 then a^2 – b^3 is equal to: ...
by Joshua Mwanza Diamond
(51,622 points)
asked in Mathematics Aug 20, 2020
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How do I solve the simultaneous equation $ 5u+3v=-17 ; 2u+v=-7$
1 answer 106 views
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Calculate the value of $c^3 + 12$ if $c = 3$
1 answer 272 views
Calculate the value of $c^3 + 12$ if $c = 3$Calculate the value of $c^3 + 12$ if $c = 3$ ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jun 9, 2019
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What is the value of $3 − \frac{k}{2}$ if $ k = 4$?
1 answer 329 views
What is the value of $3 − \frac{k}{2}$ if $ k = 4$?What is the value of $3 −  \frac{k}{2}$  if $ k = 4$? ...
by MathsGee Platinum
(118,646 points)
asked in Mathematics Jun 9, 2019
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