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3 years ago

Help please I needed!!!!

Mathematics

1 answer:

faust18 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

4. f(x) = √(x + 4)

f(5) = √(5+4) = √(9) = 3

5. g(x) = x^12 - x^5

g(-1)= (-1)^12 - (-1)^5

1 - (-1) = 1 + 1 = 2

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(12x - 26)° / 50°<br> What the answer?

GenaCL600 [577]

Answer:

Step-by-step explanation120

8 0

3 years ago

Evaluate the Riemann sum for f(x) = 3 - 1/2 times x between 2 and 14 where the endpoints are included with six subintervals taki

Digiron [165]

Answer:

-6

Step-by-step explanation:

Given that :

we are to evaluate the Riemann sum for $f(x) = 3 - \dfrac{1}{2}x$ from 2 ≤ x ≤ 14

where the endpoints are included with six subintervals, taking the sample points to be the left endpoints.

The Riemann sum can be computed as follows:

$L_6 = \int ^{14}_{2}3- \dfrac{1}{2}x \dx = \lim_{n \to \infty} \sum \limits ^6 _{i=1} \ f (x_i -1) \Delta x$

where:

$\Delta x = \dfrac{b-a}{a}$

a = 2

b =14

n = 6

∴

$\Delta x = \dfrac{14-2}{6}$

$\Delta x = \dfrac{12}{6}$

$\Delta x =2$

Hence;

$x_0 = 2 \\ \\ x_1 = 2+2 =4\\ \\ x_2 = 2 + 2(2) \\ \\ x_i = 2 + 2i$

Here, we are using left end-points, then:

$x_i-1 = 2+ 2(i-1)$

Replacing it into Riemann equation;

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} \begin {pmatrix}3 - \dfrac{1}{2} \begin {pmatrix} 2+2 (i-1) \end {pmatrix} \end {pmatrix}2$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2(i-1))$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - (2+2i-2)$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 -2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 2i$

$L_6 = \lim_{n \to \infty} \sum \imits ^{6}_{i=1} 6 - 2 \lim_{n \to \infty} \sum \imits ^{6}_{i=1} i$

Estimating the integrals, we have :

$= 6n - 2 ( \dfrac{n(n-1)}{2})$

= 6n - n(n+1)

replacing thevalue of n = 6 (i.e the sub interval number), we have:

= 6(6) - 6(6+1)

= 36 - 36 -6

= -6

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3 years ago

Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negati

horsena [70]

Using linear function concepts, we have that the relationship with a slope of 0 is:

A two column table with five rows. The first column, x, has the entries, -3, -1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.

A slope of 0 means that the <u>output is constant</u>, hence the relationship with a slope of 0 is:

A two column table with five rows. The first column, x, has the entries, -3, -1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

More can be learned about linear functions at brainly.com/question/24808124

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1 year ago

Which statement best explains if the graph correctly represents the proportional relationship y = −2x?

Anvisha [2.4K]

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