Given that $ y = ax^2 + bx - a^2$ has gradient $ -4$ at $(-2, -13),$ find possible values for $a$ and...
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Given that $ y = ax^2 + bx - a^2$ has gradient $ -4$ at $(-2, -13),$ find possible values for $a$ and $b$.
Find all values of a and b that make the following function differentiable for all values of xFind the values of Tangent line that isn't givenFind all values of $x$ at which the tangent line to the given curve has intercept $ y= 2$How do I find the ridges and valleys given a surface elevation functionFind $frac{dy}{dt}$ for the given x-values.Find possible values of a and b with derivates.For a function $f(x)$ find the value of the gradient $frac{dy}{dx}$ given that: $frac{dx}{dy}*frac{d^2y}{dx^2} =kfrac{dy}{dx}$Calculus - Finding the Cubic FunctionFind all $x$ values such that the tangent line to the given curve satisfy a specific propertyFind the values $omega_{X}(v)$ of the $1$-forms of $omega$ at all possible locations $X$ and directions $V$
$begingroup$
Given that $y = ax^2 + bx - a^2$ has gradient $-4$ at $(-2, -13),$ find possible values for $a$ and $b.$
Could someone lay out the steps to solving this problem?
The book gives the answers as:
$a = 3, b = 8$
or
$a = -7, b = -32$
derivatives
edited yesterday
user376343
3,9234829
asked yesterday
Jay MJay M
154
$endgroup$
add a comment |
$begingroup$
Given that $y = ax^2 + bx - a^2$ has gradient $-4$ at $(-2, -13),$ find possible values for $a$ and $b.$
Could someone lay out the steps to solving this problem?
The book gives the answers as:
$a = 3, b = 8$
or
$a = -7, b = -32$
derivatives
edited yesterday
user376343
3,9234829
asked yesterday
Jay MJay M
154
$endgroup$
2
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
1
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday
add a comment |
$begingroup$
Given that $y = ax^2 + bx - a^2$ has gradient $-4$ at $(-2, -13),$ find possible values for $a$ and $b.$
Could someone lay out the steps to solving this problem?
The book gives the answers as:
$a = 3, b = 8$
or
$a = -7, b = -32$
derivatives
edited yesterday
user376343
3,9234829
asked yesterday
Jay MJay M
154
$endgroup$
Given that $y = ax^2 + bx - a^2$ has gradient $-4$ at $(-2, -13),$ find possible values for $a$ and $b.$
Could someone lay out the steps to solving this problem?
The book gives the answers as:
$a = 3, b = 8$
or
$a = -7, b = -32$
derivatives
derivatives
edited yesterday
user376343
3,9234829
asked yesterday
Jay MJay M
154
edited yesterday
user376343
3,9234829
asked yesterday
Jay MJay M
154
edited yesterday
user376343
3,9234829
edited yesterday
user376343
3,9234829
edited yesterday
user376343
3,9234829
3,9234829
asked yesterday
Jay MJay M
154
asked yesterday
Jay MJay M
154
asked yesterday
Jay MJay M
154
154
2
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
1
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday
add a comment |
2
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
1
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday
2
2
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
1
1
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday
add a comment |
1 Answer
1
active
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$begingroup$
Let $y (x)= ax^2 + bx - a^2.$
We know that $y(-2)=-13$ and $y'(-2)=-4.$ From this we get two equations for $a$ and $b$.
Can you proceed ?
answered yesterday
FredFred
47.8k1849
$endgroup$
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
add a comment |
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1 Answer
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1 Answer
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$begingroup$
Let $y (x)= ax^2 + bx - a^2.$
We know that $y(-2)=-13$ and $y'(-2)=-4.$ From this we get two equations for $a$ and $b$.
Can you proceed ?
answered yesterday
FredFred
47.8k1849
$endgroup$
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
add a comment |
$begingroup$
Let $y (x)= ax^2 + bx - a^2.$
We know that $y(-2)=-13$ and $y'(-2)=-4.$ From this we get two equations for $a$ and $b$.
Can you proceed ?
answered yesterday
FredFred
47.8k1849
$endgroup$
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
add a comment |
$begingroup$
Let $y (x)= ax^2 + bx - a^2.$
We know that $y(-2)=-13$ and $y'(-2)=-4.$ From this we get two equations for $a$ and $b$.
Can you proceed ?
answered yesterday
FredFred
47.8k1849
$endgroup$
Let $y (x)= ax^2 + bx - a^2.$
We know that $y(-2)=-13$ and $y'(-2)=-4.$ From this we get two equations for $a$ and $b$.
Can you proceed ?
answered yesterday
FredFred
47.8k1849
answered yesterday
FredFred
47.8k1849
answered yesterday
FredFred
47.8k1849
answered yesterday
FredFred
47.8k1849
47.8k1849
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
add a comment |
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
$begingroup$
Thanks Fred, this was all I needed! I knew I had to to get two equations but was going about it in strange ways and getting no closer to an answer.
$endgroup$
– Jay M
yesterday
add a comment |
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2
$begingroup$
What did you try?
$endgroup$
– Deepak
yesterday
1
$begingroup$
Please use MathJax to render the math correctly.
$endgroup$
– manooooh
yesterday
$begingroup$
A reference for MathJax, to add onto manooooh's comment -- math.meta.stackexchange.com/questions/5020/…
$endgroup$
– Eevee Trainer
yesterday