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3 years ago

14

Tell whether the function

title="y - 4x {}^{2} = 3 x" alt="y - 4x {}^{2} = 3 x" align="absmiddle" class="latex-formula">
linear or nonlinear

1 answer:

ivanzaharov [21]3 years ago

3 0

Non linear because the degree of variable y is 1 and the degree of variable x is 2

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Use a graphing utility to graph the function and visually estimate the limits.

levacccp [35]

The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153 .

<h3></h3><h3>What is the limiting value of a function?</h3>

Limiting Value of a Function. The function's limit is the value of the function as its independent variable, such as x approaches a certain value called the limiting value. For simple equations, this is similar to finding out the value of y when x has a unique value.

Given that,

f(x) = $4x cos x$

First to calculate the limit value of the given function at x=0.

$\lim_{x \to 0} f(x)$ = $\lim_{x \to 0} 4x cosx$

= 4×0×1 (∵ cos0 = 1)

$\lim_{x \to 0} f(x)$ = 0

Similarly,

$\lim_{x \to \frac{\pi }{3} } f(x)$ = $\lim_{x \to \frac{\pi }{3} } 4x cosx$

= 4× $\frac{\pi }{3}$ ×cos $\frac{\pi }{3}$

= 4× $\frac{\pi }{3}$ × $\frac{1}{2}$ (∵cos60° = $\frac{1}{2}$ )

$\lim_{x \to \frac{\pi }{3} } f(x)$ = 1.153

Hence, The value of the $\lim_{x \to 0} f(x)$ and $\lim_{x \to \frac{\pi }{3} } f(x)$ are 0 and 1.153.

To learn more about the limit of the function from the given link:

brainly.com/question/23935467

#SPJ9

8 0

1 year ago

A person, who decided to go to weekend trip should not exceed 8 hours driving in a day. Average speed of forward journey is 60 k

Paraphin [41]

Since he must not exceed 8 hours driving in a day:
Let the distance of the picnic be = x km.

Therefore time for forward journey = x / 60
Return journey    = x / 50

The total trip should not exceed 8 hours.
Therefore: x / 60 + x / 50 <= 8.    LCM = 300

Taking LCM and multiplying on both sides:
5x + 6x <= 8(300)
   11x <= 2400
   x <= 2400/11
   x   <= 218.18
The picnic spot must be less than or equal to 218.18 km.

5 0

3 years ago

Given f (x) = 4x - 3,g(2) = x3 + 2x<br> Find (f - g) (4)

Ira Lisetskai [31]

Sgjklhcvffhxjjfjdjdjdhdhjfjd

5 0

3 years ago

Express the sum of the polymonial 3x^2+15x-56 and the square of the binomial (x-8) as a polynomial in standard form.

tester [92]

Given:

Polynomial is $3x^2+15x-56$ .

To find:

The sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form.

Solution:

The sum of given polynomial and the square of the binomial (x-8) is

$3x^2+15x-56+(x-8)^2$

$=3x^2+15x-56+x^2-2(x)(8)+8^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

$=3x^2+15x-56+x^2-16x+64$

On combining like terms, we get

$=(3x^2+x^2)+(15x-16x)+(-56+64)$

$=4x^2-x+8$

Therefore, the sum of given polynomial and the square of the binomial (x-8) as a polynomial in standard form is $4x^2-x+8$ .

7 0

3 years ago

What is the slope of this line?

PIT_PIT [208]

Answer:

It has a slope of 1.

Step-by-step explanation:

First, you need to choose two points. The points HAS to be exactly on top of the line.

The two points I picked where

(-2,0) and (-1,1)

All you do is subtract the two points. Remember rise over run or y/x

1 -0 = 1

-1 - (-2) = 1

6 0

3 years ago