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3 years ago

Find the dimensions of a rectangle whose area is 306cm2 and whose perimeter is 70 cm

1 answer:

7 0

Answer: the rectangle of maximum area is a square of side length 1= 4 cm let x and y be the lengths of the sides of the rectangle measured in cm

Step-by-step explanation:

then the perimeter is

2x+2y=16

so that:

y=8- x

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Ray predicted he would score 18 points during a basketball game. He only scored 12 points. What is his percent error

Andre45 [30]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

If f (n)(0) = (n + 1)! for n = 0, 1, 2, , find the taylor series at a=0 for f.

Pie

Given that $f^{(n)}(0)=(n+1)!$ , we have for $f(x)$ the Taylor series expansion about 0 as

$f(x)=\displaystyle\sum_{n=0}^\infty\frac{(n+1)!}{n!}x^n=\sum_{n=0}^\infty(n+1)x^n$

Replace $n+1$ with $n$ , so that the series is equivalent to

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}$

and notice that

$\displaystyle\frac{\mathrm d}{\mathrm dx}\sum_{n=0}^\infty x^n=\sum_{n=1}^\infty nx^{n-1}$

Recall that for $|x|$ , we have

$\displaystyle\sum_{n=0}^\infty x^n=\frac1{1-x}$

which means

$f(x)=\displaystyle\sum_{n=1}^\infty nx^{n-1}=\frac{\mathrm d}{\mathrm dx}\frac1{1-x}$
$\implies f(x)=\dfrac1{(1-x)^2}$

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3 years ago

Need help,with the step, equation pleases help really don’t understand

kap26 [50]

Use Socratic it gives u a step by step explanation

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3 years ago

Isosceles trapezoid FGHJ has base angles that measure (8x+14) and (14x-15). Find x and the measure of each base angle.

lisov135 [29]

Answer:

See below

Step-by-step explanation:

Remark

Base angles of Isosceles triangles are equal.

Equation

That means that 8x + 14 = 14x - 15

Solution

8x + 14 = 14x - 15 Add 15 to both sides

8x + 14+15 = 14x Combine

8x + 29 = 14x Subtract 8x from both sides

8x - 8x + 29 = 14x - 8x Combine

29 = 6x Divide by 6

x = 29/6

x = 4 5/6

Answer

x = 4 5/6 or 4.833

8x + 14 = 8 * (4 5/6) + 14

8x + 14 = 38 2/3 + 14

8x + 14 = 52 2/3 or 52.6666

14x - 15 = 14 *(4 5/6) - 15

14x - 15 = 67 2/3 -15

14x - 15 = 52 2/3 or 52.666

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3 years ago

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gtnhenbr [62]

Answer:

I guess I can!!

Step-by-step explanation:

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