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3 years ago

Evaluate the integral using the indicated trigonometric substitution. -

Mathematics

1 answer:

Studentka2010 [4]3 years ago

3 0

By simplifing it i think

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13. Find a cubic function with the given zeros. 7, -3, 2

emmainna [20.7K]

$\bf \begin{cases} x=7\implies &x-7=0\\ x=-3\implies &x+3=0\\ x=2\implies &x-2=0 \end{cases}~\hspace{7em}(x-7)(x+3)(x-2)=\stackrel{y}{0} \\\\\\ (x^2-4x-21)(x-2)=y \\\\\\ x^3-4x^2-21x-2x^2+8x+42=y\implies x^3-6x^2-13x+42=y$

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3 years ago

the difference between seven times one number and three times a second number is 25. The sum of twice the first and five times t

inysia [295]

$\left \{ {{7*x - 3*y=25} \atop {2*x + 5*y=95}} \right.$

$\left \{ {{7x - 3y=25}(I) \atop {2x + 5y=95}(II)} \right.$

$\left \{ {{7x - 3y=25}simplify*(5) \atop {2x + 5y=95}simplify*(3)} \right.$

$\left \{ {{35x - \diagup\!\!\!\! 15 y=125} \atop {6x + \diagup\!\!\!\! 15y=285}} \right.$

$\left \{ {{35x =125} \atop {6x =285}} \right.$

$41x = 410$

$\boxed{x=10}$

<span>Replace the value of "x" in the second equation (II) to find the value of "y", thus:
</span> $2x + 5y=95$
$2*(10)+5y = 95$
$20+5y=95$
$5y=95-20$
$5y=75$
$y = \frac{75}{5}$
$\boxed{y=15}$

The numbers (10,15)

5 0

3 years ago

5 Miles 17 Deer 5 Mlies Predict the number of deer in a 25 square mile section of the mountains based on the sampling from the f

grigory [225]

Answer:

Step-by-step explanation:

Its 27

7 0

2 years ago

Heyyyy help me out please? don’t scam please!

OLEGan [10]

Answer:

Step-by-step explanation:

4 0

3 years ago

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Solve the equation <br> -13/4 -x= 1/2x -1

ale4655 [162]

Answer:

x = 2 or 1/4

Step-by-step explanation:

-13/4 -x= 1/2x -1

Collect like terms

-13/4+1=1/2x+x

Using LCM

(-13+4)/4=(1+2x²)/2x

9/4=(1+2x²)/2x

Cross multiply

9(2x)=4(1+2x²)

18x=4+8x²

Turn into quadratic and solve

8x²-18x+4

Using formulae method

-b±(√b²-4ac)/2a

Where a=8, b= -18 and c=4

(-(-18)±(√(-18)²-4(8)(4))/2(8)

(18±(√324-128))/16

(18±√196)/16

(18±14)/16

(18+14)/16 or (18-14)/16

32/16 or 4/16

2 or 1/4

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3 years ago

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