19. Solve for x:x = (tan e + cote)² sin?e - tan?

Q: 2.Find if. y? +x? = sin(xy) using implicit derivation

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Q: 27. What is the simplest form of sin 2 tan'x A) 1+x B) 21+x? 2x C) 1+x 2x D) |1+x?

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Q: sin(l nx)dx = ?

A: According to the given information, it is required to solve the given integral.

Q: Using appropriate substitution, S [sec³ (2x) – 2] tan(2x) dx is equal to

A: integration

Q: 1. Solve for x, where 0 < x < T. 1 tan x = sin(2x)

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Q: 2) If y = cos x, what is y (®(x)?

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Q: Differentiate. y = sec(e) tan(e) sin (8) y = cos(e)? 2

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Q: Sketch the graph

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Q: Evaluate Sz cos“ x sin? x dx

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Q: 2- tan x dx Can be calculated if n: A. n= T/4 В. п/2 С.-п/2.

A: ∫0ntanxdx

Q: S. 3 Estimate tan x dx using the midpoints of 6 rectangles.

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Q: If y = tan¬1 xy and (x = 2, y = 3) y will be equal to?

A: If y=tan-1xy  and x=2, y=3 We need to find the y'. Formula for  y' is, y'=11+xy2×x=x1+xy2

Q: Evaluate fe'(si Je*(sin x +cos x)dx

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Q: Suppose y = sin x. What is the x- value between 0 and that corresponds to a y-valué of ? 2 [?]

A: The objective of the question is determine the value of "x" where as y=1/2 in the given function…

Q: So sin (x²) dx cannot possibly be 2. Show that the value of Lisin

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Q: 4. y = tan(x + a), , where 2x

A: You are asked for multiple questions. As per our guideline we can do only one. Please repost others.

Q: 12 If sinh x= find cosh x, tanh x, coth x, sech x, and csch x. 35

A: Given, sinh x = 1235   We have to find  cosh x, tanh x, coth x, sech x  and  csc hx

Q: (ii) S. sin?x + tan²x dx 6

A: The given integral is: I=∫0π6 sin2x+tan2xdx

Q: In the given question, verify the identity:- sinh(x + y) = sinh x cosh y + cosh x sinh y

A: Consider the provided identity, sinhx+y=sinhx coshy+coshx sinhy Verify the provided identity.…

Q: 16. Evaluate ft tan5 x sec¹ xdx.

A: We know that Sec²x = 1+ tan²x ∫ xn dx=( xn+1)/(n+1)

Q: d (cos x) H.W.: show that -sin x %3D xp

A: Given: To show ddx(cos x)= -sin x Definition : Derivative of f(x) w.r.t. x is defined as:…

Q: Write ∫ tan2k+1 x dx, where k is a positive integer, in terms of ∫ tan2k−1 x dx.

A: Given integral is ∫tan2k+1dx. Rewrite the above integral as follow.…

Q: 5. Se* (sin x + cos x) dx

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Q: Q/ ind dy if 24-sini' (xe!)=sin'(x*)+ cos (x")

A: Given that      2y - sin-1(x2+1) = sin2(x4) + cos2(x4) Here we have to find dy/dx.

Q: [ san28 e tan 20 ,tan 28 sec 2 Bd

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Q: If tanh(x)=5/13, what is the sinh(x)?

A: Answer is sinhx=5/12. Explanation is given below..

Q: If ex = tan 0, then sin e: O 1 - cos e 1 ex

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Q: TI 37t y = In(sin x), 4' 4

A: Given,         y=lnsinx , π4,3π4

Q: Q If find x tan cy2 of +2x the Value dx?

A: Given function is                                                  x2y+3y4=xtany+2x differentiating…

Q: 12 Sin X de =?

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Q: 36. sin x dx, with 6 rectangles using the Right Hand Rule.

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Q: Establish each identity given in attachment.

A: To establish the identity: lntanθ=lnsinθ-lncosθ Solution: We know that, tanθ=sinθcosθ Property of…

Q: tan³ (In x) sec (In x) dx (8)

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Q: What is the antiderivative of sin^2(x) + 2sin(x)?

A: Antiderivative of sin^2(x) + 2sin(x) is given by,  ∫[ sin2x + 2sinx ]dx =∫sin2x dx + ∫2sinx dx

Q: 2. Show that y = ce sin

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Q: 6. Se¯*tane¯*sec?e¬*dx

A: To evaluate: I=∫e-xtan(e-x) sec2(e-x) dx=∫tan(e-x) sec2(e-x) (e-x)dx...(1)

Q: fan? 2 3 sin n x cos xdx

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Q: a (a) L{sin at}=- s2 +a?

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Q: Compute / tan x · sec a dæ.

A: detailed solution is given below

Q: Derive a formula for ſ tan x sec "x dx where n 40

A: Integration problem....

Q: Let I = S sin 2xdx be given. After substituting y = tan x, how can 5 cos? x+7 sin? x the integral I…

A: Given :

Q: If y=(1+x²) tan-x - x then y' is equal to

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Q: Evaluate Te*(sin x +cos x)dx

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Q: Is this: sin x cos y- cos x sin y/ cos x sin y reciprocal quotient pythagoreom  algebra

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Q: tan y = In 2 + e"

A: Given : tany = ln2x2+e-xy

Q: Sinh メニ 2o COSN メー? Secnx =? tan h X=? Cotn X =?

A: Given, sinh x = 2099  We have to find cosh x,  sech x, tanh x , csch x  and  coth x.

Q: S(tan 3x – sin? 2x tan 3x)dx

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Q: If y = -sin x, what x-value corresponds to a y-value of 1 between 0 and 27? [? ]T

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Q: 13. Find , if y = sin x+cosx cos x dx

A: