TTY Sinz dy dz

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A: We have to find the integral.

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A: I have appended the formula used in the solution part

Q: dy (b) Find ,where y = cos ecx –4 r +7 dx

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

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

Q: Sy? sin y dy

A: Here we have to integrate the given integral

Q: Given a = 5t – 30 and y = 25 sin t dy (i) da dy (ii) dr?

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Q: dy sin(x) Find for y = dr -3

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Q: y² +4 dy y

A: Explanation of the answer is as follows

Q: d (csc x) = -csc x cot x dx %3D

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Q: (1) fx sin x dx

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Q: Example Find F[e¬t sin(w.t) u(t)]

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Q: 12. cos Vx dx

A: According to the bartleby guidelines I have to solve only first one in order to get the solution of…

Q: 4 ry sin (x? + y*)dxdy Find

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Q: secx 3 Cos%dyd%

A: The given integral is: I=∫-π3π3∫0sec x 3 cos x dy dx

Q: bu= 는 Sin hT x dx ans=- xcosuT sin

A: We have to use the UV rule of integration.

Q: dz dy dx

A:

Q: What we want to do next is write (x + jy)as Re1e where R= /(x² + y² ) and tan-1(0) = (2) %3D

A: I have find The value of theta and R

Q: b. Fltl =(ct)j +(sin.t). .. .人 1..

A: As per our guideline we are supposed to solve only one question you can repost other questions in…

Q: dy dx

A:

Q: Evaluate y cos (r*) dr dy

A: We have the given double integration is ∫0π23∫yπ23ycos(x3)dxdy Here the integration is done first…

Q: Given a = 7t – 15 and y = 49 sin t dy (i) dr dy (ii) dr?

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Q: 2) f(1)=t sin(@t)

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Q: 1+sin x dx COS x

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Q: see thee quation as atached here

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Q: Sint) How frind Stan Ause - cost +1

A: we have to find the following Laplace inverse transform

Q: dy ? dx If sin(r + y) = xy, what is the expression for

A: sinx+y=xy Differentiating with respect to x…

Q: Calculate x²+y² =4 and Sin (yetp) dA,D between. ty2 = 16 abore y=0 2 %3D

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Q: 16) da 1 y: Cos JE t 3.

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Q: T 3 x* sin (x) dx 3

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Q: dy dx

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Q: – Só Si, sec²(rx³) dxdy

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Q: dy 2. 3 CosX

A: This question is related to differential equations, We will solve it using given information.

Q: x sin x dx

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Q: eX(tanx + sec? x)dx = e*tanx + c Select one: O True

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Q: (b) Find, where y= cos ecx- dx -4x+7

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Q: J 4 sin xecos* d.c

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Q: Find dy/dæ by diferentiating implicitly if sin (a?y?) : = x. Answer:

A: The equation given is  sin(x2y2)=x Differentiate both sides with respect to x ddx(sin(x2y2))=ddx(x)…

Q: sec'x dx + tanx sing dy cory

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Q: (cos x) = –sin x dx

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Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: m/2 y sin x dx dy

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Q: o dy de dx 2 = 2e- 10 sinx %3D

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Q: Evaluate S y³ dy √y² – 1 - by trigonometric substitution.

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Q: Determine whether the statement is true or false. 4 '1 (x2 + Vy) sin (x?y²) dx dy < 9 1

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Q: Let f (t) = et sin 5t

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Q: Given a = 12t -31 and y = 144 sin t dy (*) 12cos(t) da dy (6) da?

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Q: C. Given that y = e* sin x, show that d?y +2y 0

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Q: T/10 V1 + cos 5x dx

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Q: d) m(r) = (cos(r)e")³ %3D

A: