30 -35 points Workings please. 1. Find the equation of the tangent to the curve with equation
3x^2 + 2x - 5 at the point where x = - 2

2. At what point(s) on the curve with equation
y = 5x^3 is the tangent parallel to the line with equation 15x - 4y + 8 = 0 ?

Thank you for any help.
30 points (there are other questions differentiation similar on my profile.)

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Ответ:

que40

13.04.2021

Mathematics

$dc=12.25$ units

step-by-step explanation:

in triangles abc and adc,

$m\angle abc=m\angle dac$ (as both are right angle) $m\angle bac=m\angle dca$ (alternate interior angle of parallel side ab and dc)

therefore, $\delta abc\sim \delta adc$ (a-a similarity)

so,

$\rightarrow \dfrac{ab}{ac}=\dfrac{ac}{dc}$

$\rightarrow \dfrac{4}{7}=\dfrac{7}{dc}$

$\rightarrow dc=\dfrac{7\times 7}{4}=\dfrac{49}{4}=12.25$

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