Find an equation of the line tangent to the curve √xy + 4y = 39 at the point (1,9)?

1 answer:

7 0

Find the derivative of the curve to find the line slope at the given point

sqrt(xy) + 4 dy/dx = 39

0.5(xy)^(-0.5) * (y + x dy/dx) + 4dy/dx= 0

No need to amplify simply plug in the given point ( 1,9)

0.5 ( 1 * 9)^(-0.5)* ( 9 + dy/dx) + 4dy/dx = 0

Solve for dy/dx

1/6( 9 + dy/dx) = -4dy/dx

9 + dy/dx = -24 dy/dx

-25dy/dx = 9

dy/dx = -9/25

as your question implies , you know the rest of the steps.

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The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the populat

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Answer:

132%

Step-by-step explanation:

The population of Peru = 10904

The population of Franklin = 25248.

Difference = 25248-10904=14,344

Expressing as a percentage of the population of Peru

$\dfrac{14344}{10904} X 100$

=132%

Therefore, the population of Franklin is 132% more than the population of Peru.

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Ahmed made a fruit smoothie in his blender, shown below. He gave 320 milliliters of the smoothie to his brother. How much smooth

navik [9.2K]

625 ml is the amount of smoothie is left for Ahmed to drink.

According to the statement

we have given that the

Ahmed made a 625 ml fruit smoothie in his blender and out of this he gave

320 milliliters of the smoothie to his brother and we have to find that the

How much smoothie is left for Ahmed.

So, For this purpose,

The total smoothie = 625 ml

Smoothie he gave to his brother = 320 ml

Now, we have to find the Amount of smoothie left for ahmed.

So, Smoothie left for ahmed = 625 ml - 320 ml

Smoothie left for ahmed = 305 ml

So, 625 ml is the amount of smoothie is left for Ahmed to drink.

Learn more about Left amount here brainly.com/question/11408596

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Question:

Ahmed made a fruit smoothie in his blender, shown below. He gave 320 milliliters of the smoothie to his brother. How much smoothie is left for Ahmed to drink? check the image below.

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