Solve F(x) for the given domain. F(x) = x 2 + 3x - 2 F(1) = 2 3 30

Mathematics

1 answer:

Artyom0805 [142]2 years ago

4 0

Answer:

f(1) = 2

Step-by-step explanation:

To find f(1), substitute x = 1 into f(x), that is

f(1) = 1² + 3(1) - 2 = 1 + 3 - 2 = 2

You might be interested in

10. Doug has added two decimal numbers. His work is shown.

RSB [31]

Doug didn’t line up the decimals, so his answer would be incorrect. His answer should be 20.45

8 0

2 years ago

How to integrate 1/(1-y)^2

Akimi4 [234]

If you're using the app, try seeing this answer through your browser: brainly.com/question/866966

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy}\\\\\\ =\mathsf{\displaystyle\int\!\dfrac{-1}{(1-y)^2}\cdot (-1)\,dy}\\\\\\ =\mathsf{\displaystyle- \int\!(1-y)^{-2}\cdot (-1)\,dy\qquad\quad(i)}$

Substitution:

$\begin{array}{lcl} \mathsf{1-y=u}&\quad\Rightarrow\quad&\mathsf{y=1-u}\\\\ &&\mathsf{dy=-1\,du} \end{array}$

So the integral $\mathsf{(i)}$ becomes

$=\mathsf{\displaystyle -\int\! u^{-2}\,du}\\\\\\ =\mathsf{-\,\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\ =\mathsf{-\,\dfrac{u^{-1}}{-1}+C}\\\\\\ =\mathsf{u^{-1}+C}\\\\\\ =\mathsf{\dfrac{1}{u}+C}$

$=\mathsf{\dfrac{1}{1-y}+C}\\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\!\dfrac{1}{(1-y)^2}\,dy=\dfrac{1}{1-y}+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral fraction rational substitution power differential calculus</em>

3 0

2 years ago

a carpenter has a board that is 8 feet long. he cuts off two pieces. one piece is 31/2 Feet long and the other is 21/3 Feet long

LenKa [72]

First, add the two measurements up, then subtract it from 8.

3 1/2 + 2 1/3

Convert to improper fractions:

7/2 + 7/3

Convert to denominators of 6:

21/6 + 14/6

Add the numerators:

35/6

Subtract from 8:

8 - 35/6

Convert 8 into a denominator of 6:

48/6 - 35/6

Subtract the numerators:

13/6

Convert to a mixed number:

2 1/6

So 2 1/6 of the board is left.

4 0

3 years ago

Read 2 more answers

Help please ! It's geometry

Lyrx [107]

Because angle L is the common angle between lines JL and KL, your answer is angle L. Hope that made sense.

8 0

2 years ago

What is 5 1/6 minus 1 1/3

zaharov [31]

We must find the common denominator.

LCM(6, 3) = 6

$5\dfrac{1}{6}-1\dfrac{1}{3}=5\dfrac{1}{6}-1\dfrac{1\cdot2}{3\cdot2}=5\dfrac{1}{6}-1\dfrac{2}{6}=(5-1)+\left(\dfrac{1}{6}-\dfrac{2}{6}\right)=4-\dfrac{1}{6}=3\dfrac{5}{6}$

or other method of calculating the difference

$5\dfrac{1}{6}-1\dfrac{2}{6}=4\dfrac{6+1}{6}-1\dfrac{2}{6}=4\dfrac{7}{6}-1\dfrac{2}{6}=(4-1)+\left(\dfrac{7}{6}-\dfrac{2}{6}\right)=3\dfrac{5}{6}$

7 0

2 years ago