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3 years ago

What is the range of the given function?

Mathematics

1 answer:

uysha [10]3 years ago

4 0

Answer:

Step-by-step explanation:

x= -5,1,4,6 y=9,0,-7,-1

the range of a given function equals to the value of y in order

range = -7,-1,0,9

You might be interested in

Write in standard form: y=2/3x+1

garri49 [273]

Standard form : Ax + By = C

y = 2/3x + 1
-2/3x + y = 1....multiply by -3
2x - 3y = -3 <=== standard form

3 0

3 years ago

Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

6 0

2 years ago

(2A) Find f(2x + 4) for f(x) = 1 - x2

Aleksandr-060686 [28]

Answer:

f(2x + 4) = -4x² - 16x - 15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Distributive Property

Algebra I

Terms/Coefficients
Expanding (FOIL)

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 1 - x²

Step 2: Evaluate

Substitute in x [Function f(x)]: f(2x + 4) = 1 - (2x + 4)²
Expand [FOIL]: f(2x + 4) = 1 - (4x² + 16x + 16)
(Parenthesis) Distribute negative: f(2x + 4) = 1 - 4x² - 16x - 16
Combine like terms: f(2x + 4) = -4x² -16x - 15

8 0

2 years ago

Camila drives 7.5 miles in 15 minutes. If she drove two hours in total at the same rate, how far did she go?

Elan Coil [88]

Answer:

Step-by-step explanation:

7 0

2 years ago

A box contains two purple marbles nine orange marbles and seven yellow marbles if you pick two without looking what is the proba

maw [93]

Answer:

1/4

Step-by-step explanation:

First, add up the marbles:

2 + 9 + 7 = 18

Multiply by 2 because you pick two:

18 × 2 = 36

Simplify:

9/36 = 3/12 = 1/4

Hope this helped.

8 0

2 years ago