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3 years ago

Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the given integral

Mathematics

1 answer:

malfutka [58]3 years ago

7 0

Answer:

10.294935

Step-by-step explanation:

i typed numbers

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If the 1st and 10th terms of geometric sequence are 4 and 100, find the nth term of the sequence

Masja [62]

a = 4 first term, r = ?, T10 = 100.

Tn = ar^n - 1 formula for g.p

T10 = 4r^ 10 - 1

100 = 4r^9

Divide both side by 4

100/4 = 4/4r^9

25 = r^9 take the 9th root of both side

9√25 = 9√r^9

r = 9√25

To find the nth term

Since Tn = ar^n - 1

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3 years ago

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nadezda [96]

<h2> $\large\mathfrak{{\pmb{\underline{\red{Given}}{\red{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles
∠RSU = (4x – 15)°
∠USV = 20°

<h2> $\large\mathfrak{{\pmb{\underline{\color{red}{To~find}}{\color{red}{:}}}}}$ </h2>

The value of x

<h2> $\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$ </h2>

∠RSU and ∠USV are complementary angles

$\sf\implies{ \angle RSU + \angle USV = 90 \degree }$

$\sf\implies{ (4x-15) + 20 = 90 }$

$\sf\implies{ 4x-15+20=90}$

$\sf\implies{4x+5=90}$

$\sf\implies{4x=90-5}$

$\sf\implies{4x=85}$

$\sf\implies{x={\dfrac{85}{4}}}$

$\sf\implies{ {\orange{\underline{\boxed{\sf{\pmb{x=21.25}}}}}}}$

<h2> $\large\mathfrak{\therefore{\pmb{\underline{\color{gold}{Required~answer}}{\color{gold}{:}}}}}$ </h2>

$\sf{ {\underline{\underline{\color{gold}{\sf{\pmb{x=21.25}}}}}}}$

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3 years ago

Bryan owes his friend more than $1,610 from a loan. Bryan has already paid his friend back $206 and continues to pay him $156 ea

Genrish500 [490]

Owes more than 1425
owe>1425

owed musbe be equal to how much he paid back

paid back 210

and 153 per month is paid back (represent number of months by x)
so
owe=210+152x

210+153x>1425
153x+210>1425

Don't know if this is right or if it helps but

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2 years ago

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Answer:

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