What is the value of the expression below if y=5

Mathematics

1 answer:

ale4655 [162]3 years ago

6 0

Answer:

Step-by-step explanation:

Its a long step by step but trust me

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Evaluate the integral. (remember to use absolute values where appropriate. Use c for the constant of integration.) 5 cot5(θ) sin

ozzi

$I=5\int \frac{cos^{4}\theta }{sin\theta }\times cos\theta d\theta \\\\I=5\int \left ( 1-sin^{2}\theta \right )^{2}\times \frac{cos\theta }{sin\theta }d\theta \\put\ \sin\theta =t\\\\dt=cos\theta d\theta \\\\I=5\int\frac{t^{4}+1-2t^{2}}{t}dt\ \ \ \ \ \ \ \ \ \ \because (a-b)^2=a^2+b^2-2ab\\\\I=5\left ( \int t^{3}dt + \int \frac{1}{t} -2\int t \right )dt$

by using the integration formula

we get,

$\\I=5\left ( \frac{t^{4}}{4} +logt -t^{2}\right )\\\\I=\frac{5}{4}t^{4}+5\log t-5t^{2}+c$

now put the value of t=\sin\theta in the above equation

we get,

$\int 5\cot^5\theta \sin^4\theta d\theta=\frac{5}{4}sin^{4}\theta+5\log \sin\theta - 5sin^{2} \theta+c$

hence proved

7 0

3 years ago

Here is a set of signed numbers order them least to greatest: 7, -3, , -0.8, 0.8, -, -2

Aleksandr [31]

Answer:

-3, -2, -0.8, 0.8, 7

7 0

3 years ago

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How do I simplify this?

Anastasy [175]

3/4 + 1 = 1.75 which is equivalent to 7/4
1- 3/4 = 0.25 which is equivalent to 1/4
the problem now looks like 7/4 / 1/4
you cancel out both 4
this problem simplified looks like 7/1
which is equivalent to 7 if you divide

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1 year ago

Please I need this ASAP

vlabodo [156]

Answer:

Step-by-step explanation:

Where is Ac leath

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3 years ago

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Need help, my teacher is not great at explaining.

satela [25.4K]