Which of the following trigonometric substitutions is the most appropriate to the intgral (4e2x + (A) 2ex=3sece B 2ex = 3sine 2 ex = 3tane D ex = 3tane

Q: dx Using Trigonometric Substitution - f(e) - find (x² + x + 1) 2 4 3 sec e O 3 sec? e 4 4 3 sec? e O…

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Q: show solution, u and du too

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Q: dx by using the trigonometric substitution of x 3D V12x? Find sino.

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Q: Simplify: 1 1 + csc(0) + cot(e) csc(0) - cot(e) A 2sin(e) B 2 sin(8) 2 sin(8)

A: 1csc(θ)+cot(θ)+1csc(θ)-cot(θ)=csc(θ)-cot(θ)+csc(θ)+cot(θ)csc(θ)+cot(θ)csc(θ)-cot(θ)

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Q: Which of the following will yield an inverse trigonometric function? dx A 9- 16х2 wdw B 25 – w 2 e…

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Q: d. Inside the circle r=4 sine and below the horizontal line r= 3 csce

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Q: AB and AC are tangents. B 40°

A: here we use the fact that tangent and radius are perpendicular at the point of contact.

Q: Which function has amplitude 3 and midline y=5?

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Q: What is sin x ? dx

A: We know that ddxf(x) = limh→0f(x+h)-f(x)h

Q: The amplitude of y = -3sin (). А. —3 С. D. 3 2 I ea B.

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Q: cose + sine =1 If a sine - cose and a = 1 b x2 prove that a? b2

A: Given,xacosθ+ybsinθ=1 and xasinθ-ybcosθ=1then prove that:-x2a2+y2b2=2

Q: To evaluate -using trigonometric substitution, (4 – sin²x)² which of the following is the most…

A: One of the two main parts of calculus which are concerned with the study of integrals, as opposed to…