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yulyashka [42]
3 years ago
7

1. Calculate the Riemann sum for f(x) = sqrt(x) on the interval [0, 10] using the partition {0,2,5,10} and c 1 =1 , c 2 =4 , and

c 3 =9 .
Mathematics
1 answer:
MakcuM [25]3 years ago
3 0

Answer:

Riemann Sum = 13

Step-by-step explanation:

Step1 : Calculate the widths of the sub intervals

Δx₁=2−0=2

Δx₂=5−2=3

Δx₃=10−5=5

Step 2: Calculate the values at the sample points

f(1) = \sqrt{1} = 1

f(2) = \sqrt{4} = 2

f(3)= \sqrt{9} = 1

Riemann Sum = Δx₁f(1) + Δx₂f(2) + Δx₃f(3) = 2*1 + 3*2 + 5*1 = 13

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Nookie1986 [14]
Y = mx + b
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now we sub and find b, the y int
3 = -3/4(3) + b
3 = -9/4 + b
3 + 9/4 = b
12/4 + 9/4 = b
21/4 = b.....or 5.25 for graphing purposes

so ur equation is : y = -3/4x + 21/4

ur y int = (0,21/4) or (0,5.25)

ur x int can be found by subbing in 0 for y and solving for x
y = -3/4x + 21/4
0 = -3/4x + 21/4
3/4x = 21/4
x = 21/4 * 4/3
x = 84/12 = 7.....so ur x int is (7,0)

so plot ur points (7,0) and (0,5.25)....now start at (0,5.25) and since the slope is -3/4, come down 3 spaces and go to the right 4 spaces, then down 3, and to the right 4 and u will eventually cross the x axis at (7,0)




8 0
3 years ago
Help me solve this equation 3x-7=4x
Sauron [17]
Hey!

Let's write it, 3x-7=4x
Add 7 to both sides,
3x-7+7=4x+7
3x=4x+7
Subtract 4x from both sides.
3x-4x=4x+7-4x
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Since we don't want a negative variable, we have to divide both sides by -1.
\frac{-x}{-1}=\frac{7}{-1}
Our answer would be,
x=-7

Thanks!
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3 years ago
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Answer:

66m

Step-by-step explanation:

4 0
2 years ago
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Ainat [17]

Answer:

<em>Option A, Option C, Option E</em>

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

1000 + 200 = 1200 square cm,\\Option A - Correct!

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

20 * 60 = 1200 square cm,\\Option B - Correct!

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct!

4 0
3 years ago
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