Divide using polynomial long division<br>(x3 + x2 - 9x - 6) ÷ (x2

Find the difference quotient of the exponential function, f(x) = e^x

Orlov [11]

Answer:

Step-by-step explanation:

The difference quotient in general looks like

$\frac{f(x+h)-f(x)}{h}$ Sometimes the symbol "delta x" $\Delta x$ is used instead of h.

For the exponential function, the difference quotient is

$\frac{e^{x+h}-e^x}{h}$

5 0

3 years ago

Please help me out you guys

s344n2d4d5 [400]

Answer:

okok I willl hel0 you out

5 0

3 years ago

Read 2 more answers

Use theorem 7. 4. 2 to evaluate the given laplace transform. do not evaluate the convolution integral before transforming. (writ

irga5000 [103]

With convolution theorem the equation is proved.

According to the statement

we have given that the equation and we have to evaluate with the convolution theorem.

Then for this purpose, we know that the

A convolution integral is an integral that expresses the amount of overlap of one function as it is shifted over another function.

And the given equation is solved with this given integral.

So, According to this theorem the equation becomes the

$\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{ \mathscr{L} (e^{-\tau} \cos \tau ) }{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{\frac{s+1}{(s+1)^2+1}}{s} \\\mathscr{L} \left( \int_{0}^{t} e^{-\tau} \cos \tau d \tau \right) = \frac{1}{s}\left (\frac{s+1}{(s+1)^2+1} \right).$

Then after solving, it become and with theorem it says that the

$\mathscr{L} \left( \int_{0}^{t} f(\tau) d\tau \right) = \frac{\mathscr{L} ( f(\tau))}{s} .$

Hence by this way the given equation with convolution theorem is proved.

So, With convolution theorem the equation is proved.

Learn more about convolution theorem here

brainly.com/question/15409558

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3 0

2 years ago

Please someone check how much questions I ask for this please someone help it’s really late we’re I am and I stay every night as

lesya692 [45]

i don't now all of them but

3.is "A"

4.is "C"

* By definition, the sum of the interior angles of a triangle is 180 degrees.

* Keeping this in mind, you have:

As you can see, the sum of the other two angles must be 108 degrees, then, let's add the angles given in each option:

A) 9°+9°=18

B) 26°+46°=72°

C)53°+55°=108°

D)72°+108°=180°

*Therefore, the answer is option C.

5.is "B"

A triangle is called a right triangle when one of it's angles measures 90°.

We have been given the second angle as 14°.

The angles in a triangle add up to 180°.

∴ letting the third angle to be X;

X + 14° + 90° = 180°

X + 104° = 180°

X = 180° - 104°

= 76°

7. the answer is "B"

A = 41 * 14 / 2

A = 574 / 2

A = 287 cm²

So, the area of the trapezoid is 287 cm².

9. is "B"

Area = base x height

Or 356.25=14.25 x Height

Dividing both sides by 14.25

Height =25inches

.Height of the parallelogram is 25 inches. the answer is "B"

10.is "B"

the sum of any 2 sides of a triangle must be greater than the third side

3 0

3 years ago

Quadrilateral LMNO is a parallelogram, and LM=24-9 and NO=y-2, find the value of "y" and the length of NO.

Slav-nsk [51]

Answer:

y = 7

NO = 5

Step-by-step explanation:

Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2

Since LMNO is a parallelogram, hence;

LM = NO

2y - 9 = y - 2

2y - y = -2 + 9

y = 7

Since NO = y - 2

NO = 7 - 2

NO = 5

7 0

3 years ago

Divide using polynomial long division(x3 + x2 - 9x - 6) ÷ (x2 - 9)​

Divide using polynomial long division(x3 + x2 - 9x - 6) ÷ (x2 - 9)