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Setler [38]
3 years ago
6

If f(x) = (2x² + 5), then f'(x)

Mathematics
1 answer:
butalik [34]3 years ago
5 0
<h3>Answer:  f ' (x) = 4x</h3>

=======================================

Work Shown:

f(x) = 2x^2 + 5

f ' (x) = d/dx[ 2x^2 + 5 ]

f ' (x) = d/dx[ 2x^2 ] + d/dx[ 5 ]

f ' (x) = 2*d/dx[ x^2 ] + d/dx[ 5 ]

f ' (x) = 2*2x^1 + 0

f ' (x) = 4x

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Can you also explain how you got the answer
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Step-by-step explanation:

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3 years ago
Work out the area of 5e parallelogram
Vedmedyk [2.9K]

Answer: The area is 268 cm squared (approximately)

Step-by-step explanation: The area of a parallelogram is given as ;

Area = b x h

Where b is the base and h is the vertical height. However the vertical height is not given, so we shall apply the trigonometric ratio to determine the vertical height. If we draw a straight line from the the top right vertex down to the base, we would have constructed a right angled triangle with hypotenuse 13cm, and reference angle 79 degrees. We can now calculate the vertical height as follows;

Sin 79 = opposite/hypotenuse

Sin 79 = h/13

By cross multiplication we now have

Sin 79 x 13 = h

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With the vertical height now known, we can calculate the area as follows

Area = b x h

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7 0
3 years ago
Can someone help? Please and thankyou<br><br> What is the area of the parallelogram shown?
Thepotemich [5.8K]

Answer:

16

Step-by-step explanation:

Let's give letters as the image. Triangle ABH is a right triangle, so you can apply pythagoream theorem. In particular, it's the classic "3-4-5" triangle (there are some triplets of integers that gives you a right triangle, and 3-4-5 is the most famous). Either way, the height of the triangle is 4.

At that point you can compute the area by multiplying base and height, and the total surface is 16.

4 0
2 years ago
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