Find the area enclosed by one leaf of the rose r = 12 cos 3θ. Please go into detail when explaining the process of how to integrate each part.

Q: dx v16+x? 2) Use a trigonometric substitution to help integrate: Clearly show what your values of x…

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Q: sec(2e158i)

A: The given problem is to evaluate and simplify the given complex expression and express in the…

Q: 2.x= 28°

A: Given:Angle at one end of triangle =28°To find:x=??

Q: Evaluate 4 ° (0.2e (0.2e-0.2z ) dr. Round to three decimal places.

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Q: cos sin + cos -1 x=0 %3D

A: Solve by trigonometry

Q: Plot the point(s) where cos : 1 2

A: We need to plot the points in the given figure where cosθ=12

Q: -5T cos 6.

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Q: Please show full work! Thank you

A: we have to slove above question the product of cos (5t)sin(8t)

Q: ∞ 11 Evaluate f te-2+ sintat.

A: The objective is to evaluate the integral ∫0∞te-2tsintdt. Use the fact that L{f(t)}=∫0∞e-stf(t)dt…

Q: arc JK = (7x - 39)° and arc ML = 87°, find x. *

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Q: sin10 x cos x dx.

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Q: Give an example of how the following equations can be used in everyday life, perform a graphical…

A: note : Since you have posted multiple questions, we will provide the solution only to the first…

Q: Simplify : cos (2 pi / 3) cos (pi / 6) + sin (2 pi / 3) sin (pi / 6)

A: Trigonometric identity: The following trigonometric identity is used in solving the given problem.…

Q: Write the sum as a product: cos(24.7q) + cos(3.1q) =

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Q: convert the cosine sinusoidal function into a sine function: 7 cos pi/6 (t-3) + 6

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Q: 35°

A: the solution is using outside angle theorem

Q: cos3tdt d. tantdt

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Q: | Vx² + 16 Use an appropriate trigonometric substitution to evaluate dx.

A: We have given indefinite integration with respect to x. While solving the indefinite integral, we…

Q: Verify the identity. (cscx-cotx) (cscx+cotx) = 1 6.

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Q: Practice : PProve I + cos*O %3D

A: here it should be cot2θ not cos2θ to prove that 1+cot2θ=csc2θ