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asambeis [7]
3 years ago
14

Normal line to the curve y=ln(2x+a) at x=1 is perpendicular to x-4y+2 = 4ln3. Find the value of a.

Mathematics
1 answer:
Nesterboy [21]3 years ago
7 0
Hello,

The normal perpendicular to x-4y+2=4ln(3) or y=(x+2-4ln(3))/4
has as slope -4

So y'=(ln(2x+a))'=1/(2x+a) *2 if x=1 , y'=1/(2+a)
Thus
1/(2+a)=-4 ==>2+a=-1/4==>a=-1/4-2==>a=-9/4

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Which best describes the resulting three-dimensional figure? a cone with a base radius of 26 cm a cone with a base radius of 14
hammer [34]

The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

<h3>What is solid of revolution?</h3>

When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.

Since no image is specified, we will work on the image attached below.

We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.

Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.

Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

Learn more about solid of revolution here:

brainly.com/question/338504

8 0
2 years ago
What num com between 4 and 6?
damaskus [11]

Answer:

5

Step-by-step explanation:

1,2,3,4,5,6

7 0
3 years ago
Read 2 more answers
A bead is formed by drilling a cylindrical hole of 2mm diameter through a sphere with an 8mm diameter. Estimate the volume of th
nydimaria [60]
The bead is in a cylindrical shape and the formula for solving the volume of a cylinder is V=pi*r²*h where "r" is the radius, "h" for the height.
We have given values such as:
r=diameter/2 = 2/2 = 1mm
h= 8mm
Solving for the volume, we have:
V=3.14*1²*8
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6 0
3 years ago
Need help with problem 5, Thank you!<br><br><br> Sorry for the glare
MAXImum [283]

Answer:

x = 57

Step-by-step explanation:

A triangles degrees add up to 180

67 + 56 = 123

180 - 123 = 57

6 0
3 years ago
Your delivery runs took 7 hours 12 minutes on Monday,6 hours 46 minutes on Wednesday and 6 hours 53 minutes on Friday. What was
blagie [28]
7 hours + 6 hours + 6 hours
=19 hours
12 minutes + 46 minutes + 53 minutes
=111 minutes
=1 hour 51 minutes

19 hours + 1 hour and 51 minutes is 20 hours and 51 minutes. This is the total time.

Average time = total time/number of deliveries

(20 and 51/60) divided by 3
=6.95 hours
= 6 hours and 57 minutes
5 0
3 years ago
Read 2 more answers
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