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lana [24]
3 years ago
6

Calculus 1 question I need help with

Mathematics
1 answer:
kotykmax [81]3 years ago
6 0

Answer:

1

Step-by-step explanation:

f(x) = e^(8x⁵−8x)

Since f(x) is continuous:

lim(x→1) f(x) = f(1)

lim(x→1) f(x) = 1

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Is my answer correct ??
Tpy6a [65]

The largest triangle and the triangle whose hypotenuse is x are similar. So:

(21 + 4)/x = x/4

Cross multiply:

x^2 = 100

x = 10

Your answer is incorrect. It should be 10, not 20.

5 0
3 years ago
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When you divide 4 by 7 the quotient is a
horrorfan [7]

Answer:

I believe the answer is 0.571428571428571

Step-by-step explanation:


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3 years ago
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The perimeter of a rectangle is 40cm. If the length were doubled and the width halved, the perimeter would be increased by 16cm.
Arada [10]

Answer:

The dimensions of the original rectangle are Length =12cm, Width=8cm

Step-by-step explanation

Let the length of the rectangle be x

Let the width of the rectangle be y

The perimeter of a rectangle is 40cm.

2(x+y)=40

Divide both sides by 2

x+y=20

If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm

Therefore:

Divide both sides by 2

From the first equation, x=20-y.

Substitute x=20-y into  

7 0
3 years ago
Write equation of the line containing (4,2) and (3,5)<br> in slope-intercept form.
11Alexandr11 [23.1K]

Answer:

The equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

Step-by-step explanation:

Given the points

  • (4, 2)
  • (3, 5)

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(4,\:2\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)

m=\frac{5-2}{3-4}

m=-3

We know that the slope-intercept form of the line equation is

y=mx+b

where m is the slope and b is the y-intercept

substituting m=-3 and the point (4, 2) to get the y-intercept i.e. b

y=mx+b

2=(-3)4 + b

2 = -12 + b

b = 2+12

b = 14

Now, substituting b=14 and m=-3 in the slope-intercept form to determine the equation of a line in the slope-intercept.

y=mx+b

y=(-3)x+(14)

y=-3x+14

Thus, the equation of the line containing (4,2) and (3,5)  in the slope-intercept form will be:

  • y=-3x+14

6 0
3 years ago
The volume of rectangular prism that measures 7 meters long, 9 meters wide, and 6 meters high is 378m^3
Law Incorporation [45]

Answer:

Step-by-step explanation:

True

7 X 9 X 6 = 378

7 0
2 years ago
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