4,9,14,19 the 40 term?

The output y and input x of a device are related by y = x + 1.4x3 . (a) Find the values of the output for steady-state operation

erma4kov [3.2K]

Answer:

a) $y(1) = 2.4$ , $y(2) = 13.2$ , b) $y(x) = 2.4 + 5.2\cdot (x-1)$ , $y(1) = 2.4$ , $y(2) = 7.6$

Step-by-step explanation:

a) The values of the output for steady-state operation are:

$y(1) = 1 + 1.4\cdot (1)^{3}$

$y(1) = 2.4$

$y(2) = 2 + 1.4\cdot (2)^{3}$

$y(2) = 13.2$

b) The formula for linearization is:

$y(x) = y(1) +\frac{dy}{dx}|_{x = 1} \cdot (x-1)$

The first derivative of the formula evaluated at x = 1 is:

$\frac{dy}{dx}|_{x=1} = 1 + 4.2\cdot (1)^{2}$

$\frac{dy}{dx}|_{x=1} = 5.2$

The linearized model is:

$y(x) = 2.4 + 5.2\cdot (x-1)$

The output at x = 2 is presented below:

$y(2) = 2.4 + 5.2\cdot (2-1)$

$y(2) = 7.6$

Linearized model offers reasonable approximations for small intervals.

5 0

3 years ago

CAN SOMEONE HELP ME ASAP I WILL GIVE BRAINILY, and show how you got the answer, please!!!!!! I really need help.

bija089 [108]

Answer:

Assuming you want this rounded to the hundredths.

6. x = 24.86

7. x = 4

8. x = 24.86

9. x = 12

10. x = 4

11. x = 20.57

Step-by-step explanation:

6. Because these angles are supplementary, they add up to 180 degrees. Using this, we can solve for x.

Step 1: Build your equation

3x + 5 + 4x + 1 = 180

Step 2: Combine like terms

7x + 6 = 180

Step 3: Subtract 6 from both sides of the equation.

7x = 174

Step 4: Divide the coefficient of x out.

x ≅ 24.68

7. Vertical Angles Theorem states that vertical angles are congruent. Now we can solve from there!

(Note: There are two ways to solve this, but I picked the easier way)

Step 1: Build your equation

3x + 5 = 4x + 1

Step 2: Collecting like terms on one side 1: Subtract 3x from both sides

5 = x + 1

Would you look at that! No coefficient on x. However, we need a sequel to fix the right side.

(If you are wondering why there is no coefficient on x, the actual coefficient is 1. However, it is much cleaner to just ignore that.)

Step 3: Collecting like terms on one side 2: Subtract 1 from both sides.

4 = x

Because equations don't care about silly human things like which terms are on which side, you can also arrange it like this:

x = 4

8. A linear pair of angles are adjacent angles formed by two intersecting lines. The measure of a linear pair of angles is 180 degrees. See #6 for details on how to solve this.

9. Complementary angles add up to 90 degrees. Similar to supplementary angles, this can be solved but setting the sum to 90 degrees.

Step 1: Build your equation.

3x + 5 + 4x + 1 = 90

Step 2: Combine like terms.

7x + 6 = 90

Step 3: Subtract 6 from both sides of the equation.

7x = 84

Step 4: Divide the coefficient of x from both sides.

x = 12

10. Because they are congruent, you can set the angles equal to eachother. Please view #7 for how to solve this.

11. Similiar to #6 and #9, we can set the sum to 150 degrees and solve from there.

Step 1: Build your equation.

3x + 5 + 4x + 1 = 150

Step 2: Combine like terms.

7x + 6 = 150

Step 3: Subtract 6 from both sides of the equation.

7x = 144

Step 4: Divide the coefficient of x from both sides.

x ≅ 20.57

There you have it! Wow, I haven't done algebra like that since 2019!

Hope I helped!

3 0

3 years ago

Find the slope and y-intercept of the following line -7x+7y=-17

leva [86]

To find these two lets convert this into slope-intercept form:

-7x + 7y = -17
7y = 7x -17
y = x - 17/7

So, the slope is 1 and the y-intercept is -17/7

Hope this helps!

3 0

4 years ago

four friends want to play a game. in how many ways can the friends from teams, if both team dont have name

SVETLANKA909090 [29]

Answer:

So I’m guessing you want either how to get a name or name ideas?

Step-by-step explanation:

1. Compare the friend’s favorite things and lump them together (lets say one likes ballet and another likes swans so the name would be the Graceful Swans)

2.Pick a name that describes what you like about your friendship (lets say they like the love that the friends give to one another so lets say Loving Friends)

NAME IDEAS

Hunting Pack

Graceful Swans

Cloudy Skies

DREAM TEAM

Windy days

IF YOU WANT TO DIVIDE THE FRIENDS THEN THERE WOULD BE TWO FRIENDS ON EACH TEAM

Hope this helped

Plz mark Brainliest

Dont forget to smash that heart at the bottom <3

Have a great day!

7 0

3 years ago

Find HCF of 96 and 404 by prime factorization method and find their LCM

viktelen [127]

Answer:

HCF of 96 and 404 by prime factorisation method:-

Since, 96 = 2 × 2 × 2 × 2 × 2 × 3

and, 404 = 2 × 2 × 101

So, HCF of 96 and 404 = Product of common prime factors

= 2 × 2 = 4

LCM = 2 × 2 × 2 × 2 × 2 × 101 × 3

= 9696

Step-by-step explanation:

i think i

don't no

4 0

4 years ago