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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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Help me solve this..! Please!
stiv31 [10]

Answer:

x=2

Solve for x by simplifying both sides of the equation, then isolating the variable.


3 0
3 years ago
A triangle has sides 11 cm, 16 cm and 7 cm. the largest angles has size of x. calculate X. Round your answer to the nearest degr
marishachu [46]

Answer:

124°

Step-by-step explanation:

cos X = (11²+7²-16²)/2(11)(7)

= (121+49-256)/154

= -86/154

= -0.5584

X = cos~¹ -0.5584 = 124°

4 0
3 years ago
How do you find the center of dilation for a negetive dilation?​
Andrei [34K]

the Answer:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

Step-by-step explanation:

A dilation is a transformation that produces an image that is the same shape as the original but is a different size. The description of a dilation includes the scale factor (constant of dilation) and the center of the dilation. The center of dilation is a fixed point in the plane about which all points are expanded or contracted. The center is the only invariant (not changing) point under a dilation (k ≠1), and may be located inside, outside, or on a figure.

Note:

A dilation is NOT referred to as a rigid transformation (or isometry) because the image is NOT necessarily the same size as the pre-image (and rigid transformations preserve length).

What happens when scale factor k is a negative value?

If the value of scale factor k is negative, the dilation takes place in the opposite direction from the center of dilation on the same straight line containing the center and the pre-image point. (This "opposite" placement may be referred to as being a " directed segment" since it has the property of being located in a specific "direction" in relation to the center of dilation.)

Let's see how a negative dilation affects a triangle:

Notice that the "image" triangles are on the opposite side of the center of the dilation (vertices are on opposite side of O from the preimage). Also, notice that the triangles have been rotated 180º.

5 0
2 years ago
Read 2 more answers
Find the slope of the line that passes through the coordinates (3,-6) and (-9,2)
JulsSmile [24]

9514 1404 393

Answer:

  -2/3

Step-by-step explanation:

The slope formula is useful for this.

  m = (y2 -y1)/(x2 -x1)

  m = (2 -(-6))/(-9 -3) = 8/-12

  m = -2/3

The slope of the line is -2/3.

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The graph shows the two points and a line with a slope of -2/3.

4 0
3 years ago
Use the figure from the example to find the length GH. Assume △DEF ≅ △GHJ.
grandymaker [24]
The two triangles are congruent, so corresponding parts of the two triangles are congruent.
GH is corresponding to DE, so GH=DE=17
8 0
3 years ago
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