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3 years ago

Is this statement true or false 45/100.72=45/100.100 help please

Mathematics

1 answer:

stellarik [79]3 years ago

5 0

Answer:

false because 45/100.72 does not equal 45/100.100

Step-by-step explanation:

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If f(x) = 3x2 − 8x, 0 ≤ x ≤ 3, evaluate the Riemann sum with n = 6, taking the sample points to be right endpoints.

denis23 [38]

Split up the interval [0, 3] into 6 subintervals,

[0, 1/2], [1/2, 1], [1, 3/2], [3/2, 2], [2, 5/2], [5/2, 3]

The right endpoints are given by the arithmetic sequence,

$r_i=0+\dfrac i2=\dfrac i2$

with $1\le i\le6$ .

We approximate the integral of $f(x)$ on the interval [0, 3] by the Riemann sum,

$\displaystyle\int_0^3f(x)\,\mathrm dx=\sum_{i=1}^6f(r_i)\Delta x_i$

$\displaystyle=\frac{3-0}6\sum_{i=1}^6\left(3{r_i}^2-8r_i\right)$

$\displaystyle=\frac12\sum_{i=1}^6\left(\frac{3i^2}4-4i\right)$

$\displaystyle=\frac38\sum_{i=1}^6i^2-2\sum_{i=1}^6i$

Recall the formulas,

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

Then the value of the integral is approximately

$\displaystyle=\frac38\cdot\frac{6\cdot7\cdot13}6-2\cdot\frac{6\cdot7}2=\boxed{-\frac{63}8}=-7.875$

Compare to the exact value of the integral, -9.

7 0

3 years ago

which equation represents a parabola opening to the right with a vertex at the origin and a focus at (9,0)?

konstantin123 [22]

Answer:

y² = 36x

Step-by-step explanation:

Parabola opens right.

Thus equation is from; y² = 4ax

And focus is at (a, 0)

Since we are given focus at (9, 0),it implies that a = 9

Thus, equation of parabola is;

y² = 4 × 9 × x

y² = 36x

8 0

3 years ago

Do I get charged for my brainly membership before or after the 6 months

bogdanovich [222]

Hello!

I do believe you get charged before the 6 months of your membership, although, i'm not too sure of this... Maybe check the Brainly FAQ page for help?

Hope i helped out....

<em>~Spider</em>

7 0

3 years ago

What is the error for the following problem: 1.2 x 0.12 =1.44

Nana76 [90]

Answer: the error is in the second part 0.12 it should be 1.2 for the answer to be 1.44

Step-by-step explanation:

1.2x0.12 = 0.144

0.12x0.12=0.0144

1.2x 1.2 = 1.44

7 0

2 years ago

https://www.drfrostmaths.com/util-generatekeyskillpic.php?name=AnglePoint4&width=400&params=%5B61%2C0%2C%22y%22%2C4%5D

Jlenok [28]

Answer:

Complementary angle

<y+61° =90°

<y = 90°- 61°

<y =29°

I Hope this helps.

4 0

3 years ago