From 309 grams to 299 grams.

Mathematics

1 answer:

Tom [10]4 years ago

3 0

Answer: 3 percent decrease. = 0% Increase or a 5 % decrease.

Step-by-step explanation: Sorry, I don't have an explanation!

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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

What’s 568 divided by 7

Vlad [161]

81.14

568 divided by 7 = 81.14

4 0

3 years ago

Lines AB and EB share a common point at B therefore we say that these lines

Brut [27]

2 lines in a plane can have these positions:

i) they can be parallel, if they share no common point.

ii) are intersecting, if they have one common point.

ii) they are coincident if they have 2 common points.

AB and EB share 1 common point, B, therefore they are Coincident.