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3 years ago

(a) Use differentiation to find a power series representation for

Mathematics

1 answer:

choli [55]3 years ago

8 0

Answer:1/(3+x)=(1/3)

(1−(−x/3))

1/(3+x)=(1/3)1(1−(−x/3))

Use this fact that

1/(1−t)=

∑

∞

(∗)

1/(1−t)=∑0∞tn (∗)

where

|t|<1

. I mean take

t=−x/3

and...

Note that

|−t|=|t|<1

is the radius of convergence

Step-by-step explanation:

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Given the function f(x) = x3 + 2x2 − 3x − 5, what is resulting function when f(x) is shifted to the right 1 unit?

cluponka [151]

When shifted to the right 1 unit it would be:
f(x - 1) = (x - 1)^3 + 2(x - 1)^2 - 3(x - 1) - 5
= (x^3 - 3x^2 + 3x - 1) + 2(x^2 - 2x + 1) - 3(x - 1) - 5 
= x^3 - 3x^2 + 2x^2 + 3x - 4x - 3x - 1 + 2 + 3 - 5 
= x^3 - x^2 - 4x - 1
I hope this helps

5 0

3 years ago

Read 2 more answers

Please help me on this problem

Rudik [331]

<h2>Answer:</h2>

Total Surface Area = 375 $ft^2$

<h2>Step-by-step explanation:</h2>

You need to find the area of the ceiling, floor, the two rectangle walls and the two trapezoid walls

Area of the ceiling:

c = length * width

c = 9*6.5 = 58.5

Area of the 2 rectangle walls:

w = 2(length * width)

w = 2(9 * 8)

w = 2(72)

w = 144

Area of floor:

f = 9 * 7.5

f = 67.5

Area of the two trapezoids:

$t = 2(h * \frac{a + b}{2})$

a = 6.5

b = 7.5

h = 7.5

$t = 2(h * \frac{a + b}{2})$

$t = 2(7.5 * \frac{6.5 + 7.5}{2})$

$t = 2(7.5 * \frac{14}{2})$

$t = 2(7.5 * 7)$

$t = 2(52.5)$

$t = 105$

Total Surface Area = c + w + f + t

Total Surface Area = 58.5 + 144 + 67.5 + 105

Total Surface Area = 375 $ft^2$

8 0

3 years ago

It is assumed that the time customers spend in a record store is uniformly distributed between 3 and 12 minutes. Based on this i

monitta

Answer:

0% probability that a customer will be exactly 7.50 minutes in the record store.

Step-by-step explanation:

Uniform probability distribution:

An uniform distribution has two bounds, a and b.

The probability of finding a value of at lower than x is:

$P(X < x) = \frac{x - a}{b - a}$

The probability of finding a value between c and d is:

$P(c \leq X \leq d) = \frac{d - c}{b - a}$

The probability of finding a value above x is:

$P(X > x) = \frac{b - x}{b - a}$

The uniform distribution is a continuous distribution, which means that the probability of an exact outcome is zero.

Uniformly distributed between 3 and 12 minutes.

This means that $a = 3, b = 12$

What is the probability that a customer will be exactly 7.50 minutes in the record store?

Continuous distribution, so:

0% probability that a customer will be exactly 7.50 minutes in the record store.

7 0

3 years ago

ANSWER ASAP IM TIMED 30 POINTS

deff fn [24]

Answer:

Step-by-step explanation:

There are only three shapes that can form tessellations: the equilateral triangle, square, and regular hexagon. Any one of these three shapes can be duplicated infinitely to fill a plane with no gaps. Many other types of tessellation are possible under different constraints.

4 0

3 years ago

Read 2 more answers

The sum of 5 and w is less than -22?

Fynjy0 [20]

5+w<-22 subtract 5 from both sides

w<-27

6 0

3 years ago

Read 2 more answers