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babymother [125]
3 years ago
13

At what point of the curve y = cosh(x does the tangent have slope 2?

Mathematics
1 answer:
Dahasolnce [82]3 years ago
5 0
The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44
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Two girls scout troops are completing a wilderness campouts. The blue troops hikes 2/3 mile every 1/2 hour. The yellow troop hik
sergejj [24]

Answer:

<em>Yellow troop will complete the hike faster than blue troop</em>

<u>Blue troop hikes 1.33 miles in 1 hour</u>

<u>Yellow troop hikes 2.25 miles in 1 hour</u>

Missing portion:

Since the final statement is missing, so we will find how much distance can the troops travels in 1 hour and which troop can complete the hike faster.

Step-by-step explanation:

As given in the statement:

Blue troops travels \frac{2}{3} miles ever \frac{1}{2} hour:

\frac{1}{2} hr = \frac{2}{3} miles

1 hr = \frac{(2)2}{3}

1 hr= \frac{4}{3} miles = 1.33 miles

Blue troop hikes 1.33 miles in 1 hour

Yellow troops travels \frac{3}{4} miles ever \frac{1}{3} hour:

\frac{1}{3} hr= \frac{3}{4} miles

1 hr = \frac{(3) 3}{4} miles

1 hr =\frac{9}{4} miles =2.25 miles

Yellow troop hikes 2.25 miles in 1 hour

<u><em>Yellow troop will complete the hike faster than blue troop</em></u>

7 0
3 years ago
Mara put down 7.5% on the purchase of her new
sesenic [268]

Answer: $189 000

brainliest or a thank you please :))

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6 0
3 years ago
Need help solving this problem.
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Answer:

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Step-by-step explanation:

6 0
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Calculate the density of the object using the information in the picture. Question 5 options: 0.052 ml/g 19.2 g/ml 19.2 ml/g 139
olga_2 [115]

The density of an object is obtained by taking the ratio of the mass of the object and its volume ; Density = \frac{Mass}{Volume}

There is no picture attached and no picture corresponding to the question could be found.

  • However, the required formular for calculating the density of an object is :

  • Density = \frac{Mass}{Volume}

  • The mass of the object is measured in gram(g) or kilogram(kg)

  • The volume of the object measured in Litre or any equivalent unit.

Therefore, the density of the object is the ratio of its mass and volume.

Learn more :brainly.com/question/24386693?referrer=searchResults

8 0
3 years ago
My grandmothers sugar cookie recipe calls for 2 2/3 cups of sugar to make 16 cookies. How much sugar is needed to make 90 cookie
vivado [14]

Step-by-step explanation:

8/3 cups of sugar is needed to make 16 cookies.

For 90 cookies, we will need 8/3 * 90/16 = 15 cups of sugar.

5 0
3 years ago
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