A contractor is building a wheelchair ramp for a doorway. To meet ADA

Mathematics

1 answer:

Bond [772]3 years ago

5 0

Answer:

pls show a picuture

Step-by-step explanation:

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Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

adoni [48]

Answer: The required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Step-by-step explanation:

Since we have given that

$y=\ln[x(2x+3)^2]$

Differentiating log function w.r.t. x, we get that

$\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [x'(2x+3)^2+(2x+3)^2'x]\\\\\dfrac{dy}{dx}=\dfrac{1}{[x(2x+3)^2]}\times [(2x+3)^2+2x(2x+3)]\\\\\dfrac{dy}{dx}=\dfrac{4x^2+9+12x+4x^2+6x}{x(2x+3)^2}\\\\\dfrac{dy}{dx}=\dfrac{8x^2+18x+9}{x(2x+3)^2}$

Hence, the required derivative is $\dfrac{8x^2+18x+9}{x(2x+3)^2}$

3 0

3 years ago

What is the equation of the following line? Be sure to scroll down first to see all answer options.

Annette [7]

From the figure the given line passes through the points (0, 0) and (-4, 8).

Recall that the equation of a straight line is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Thus, The equation of the given figure is given by
$\frac{y-0}{x-0} = \frac{8-0}{-4-0}= \frac{8}{-4} \\ \\ -4y=8x \\ \\ y=-2x$

8 0

3 years ago

The shower block on the campsite has an area of 144 m2 The length of the shower block is 24 m.What is the width?

g100num [7]

Since the shower block is in the form of a rectangle. The shower block has an area of 144 $m^{2}$ . It has a length of 24m. We need to calculate the width of the shower block.