Simplify: 3x?y 5x'y? O 15z°y O 82°y O 15x y? O 8z y?

Q: 2z tan a (1+ tan? z) dz

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Q: 1. fx² sec x³ tan x³ dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Make a trigonometric substitution to evaluate / x V25 – x² dx

A: Formulae used: 1-sin2x=cosx ddxsinx=cosx ddxsin2x=2sinxcosx

Q: (2--) TT 47. y = cot| 2x

A: 47. The function is given by y = cot2x-π2 To evaluate : The period and the graph of the function.

Q: Evaluate 8 cos (2a² + 2y²) dy dæ Hint: You could take a cab to the pole.

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Q: Sdulion for di fferential equation dy 7X-2y is

A: We have to solve the differential equation…

Q: If y = cos?(3x), then : dr %3D II

A: Given, y = cos23x  We have to find the value of dydx

Q: 11) cos A 41 40 C9 B

A: We know that in a right angle triangle cosθ=basehypotenuse…

Q: Show that Sinc fo) = Salo) = \ %3D

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Q: y = sin? (3r)

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Q: cos'p dp 3) 1- p?

A: Sol:Given ∫cos-1PdP1-P2     ....(1)now we have ,ddP Cos-1P = -11-P2 ...(2)from (1), u = cos-1P…

Q: Si dydzdx -1-x

A: In this question we have to solve triple Integral.

Q: Silve the followry DE. 1. Gidy - y(27'4x)dx

A: According to our answering guidelines we can only answer one question at a  time, rest you can…

Q: 2) t? t et sin 4

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Q: Write the equation 3r cos(0) = 16 in rectangular coordinates. 16 a) Ox = 3 16 b) Oy = 3 4 3 d) Ox? =…

A: Use the conversion from polar form to rectangular form of coordinate.

Q: Use a cofunction to write an expression equal to sec 2n JT sec Osino OcosO OcotO Oseco OcscO ?

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Q: Find Hhe alope ļr=sino elpe r=sin'o when 3

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Q: dz (Your answer should be in exact form.) Add Work

A: To Evaluate: ∫3∞x·e-3xdx

Q: Did you write   y=cos(3x)   ?

A: Solve the following

Q: For y = sin? x +cosx, y' =

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Q: 2) cos C 34 30 16 B

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Q: To prove

A: Since there is some typing error in the given question. The answer of the integral is equal to π/2.…

Q: Y= cas Cex), Y= sinx, 0SXT

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Q: Simplify cos(3Z45º) sin(5Z60°)

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Q: Given the equation y sin3x, find

A: Given,

Q: If cos (cos) 25m = y , Find value of y? 6

A: To find the value of y if cos-1cos25π6. Solution: We know that, cos2nπ+θ=cosθ, where n∈Z. So,…

Q: c) y sin 53x =

A: Given :y=sin53x

Q: a. (t-e-4t)² sec²4t -tan 4t]

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Q: How the Sketch filloway Say w

A: Since you have posted multiple questions in this question i can do first question as per our company…

Q: so Je cos T0 d0

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Q: TT S. 2 cos2xdx 0, Evaluate 2 None 1 2

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Q: tan (3x-y)j and g = TT In

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Q: xp Us cos s x

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Q: Só Sie VI+ y³ dydx =?

A: change the order of integration to to evaluate given integral.

Q: cos X Z 50 48 14 Y

A: NOTE: Refresh your page if you can't see any equations. . here we have XY=14 XZ=50

Q: Catx +y=. dy Sinx つ 00

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Q: Simplify the equation sin2ytan(y/2)

A: Given:- sin(2y) tan(y/2)  To find :- Simplify then given equation

Q: So SE 1 + y³ dydx =?

A: To find:-

Q: The value of cosxdx is а. —1 b. 2 с. О d. 1 e. None

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Q: (d) cos (30) , (e) |AD|

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: .2 c) y==(1+ cos?(7t))³

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Q: Begin by differentiating each side of the equation x = sin y. Find (x). ar X) =D | Type an exact…

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Q: cos (srj3) cosh"( 10<30")

A: Given : (1) ln [ ( 5+j3 ) + ( 6e^(j*12) ) ]- (10∠30° ) (2) cos(5+i3) cosh^(-1) ( 10∠30° )

Q: Find dy/dz by differentiating implicitly if z2 + y = 100. Answer:

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Q: 9. xy' = (1 – 2²) tan y

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Q: (5n a) cos 12,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: cos A 30 B. 16 34

A: Right angled triangle    To find Cos A

Q: dx - = ? b+c.cosax b? < c?

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Q: dy у — у? arcsin² /y + 6 arcsin /y

A: Solve the integration using the substitution method.

Q: Sa 2 cos cos x? dx

A: The given integral is ∫cosx2 dx. Use Maclaurin series and Fresnel function concept.