Show that for n > 2, tan x sec"-2 п — n-2 T dx . sec" x dx sec"- п — 1 п — Use this to find sec x dx.

Q: F. Solve the following by Substitution Method. 1. y(x tanx + In y)dx + tanx dy = 0

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Q: m. n. Sex: [ tan³ x dx ex sec³ ex dx

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Q: Find impicitly, tf e*(eУ — 1) + sin(2x + 5у) %D In(V7) - - сot(2x) y+2

A: Given function is Differentiating with respect to x by using product rule ,we get

Q: Find y' for y = ecos x + tan-1(5x) + (5x² + 1) ?

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Q: dy Find for y = tan-(3z) de Ans=

A: A detailed solution is given below.

Q: 4- Find dy/dx for: a- y = sec?x – tan²x b- y = sec (– x) c- y = sin(tan(3x))

A: As per our guidelines ,we can solve only first 2 subparts of a question.Please resubmit the other…

Q: 2FI 2FI sım nx dx = cos nx dx = 0, where n integer. 0.-

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Q: dy given that In(x + y2)-tan-1 31) Find = 0. dx

A: Given: lnx2+y2-tan-1yx=0 To Find: dydx=?

Q: dy/dx= tan^2 (x) / sec^2 (y), y=pie/4 when x=0

A: given,                 dydx=tan2xsec2y and           y   = π4 when x =0

Q: Integrate the following. - sec²x 3. ( sec?x tanx

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Q: d Prove that (sin-l x) : dx V1 – x²

A: To show that:ddx(sin-1x)=11-x2

Q: dy dx 1+8sin ?x 1 Given tan(3y)=3 tan x . Show clearly that

A: As we know that; The chain rule: fgx'=f'gx·g'x   The trigonometric identities; 1). tanx=sinxcosx 2).…

Q: H 2= x? tan y/ at (lo1) %3D Ex by

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Q: 4- Find dy/dx for: a- y = sec?x – tan?x b- y = sec³ ( – x) %3D c- y = sin(tan(3x)) d- y = /1+ sin³…

A: NOTE- Since questions 1, 2, 3, 5 and 6 are incomplete, so solving question 4 only. Please submit the…

Q: -. Solve for dy/dx a. y = *+ sinx cos x † Sin X

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Q: Given sin x + cos x = 1, find x for the interval 0 sx < 2n T/2

A: Find the value of x

Q: Suppose that 3x² - y² = t² and y=tsin 0. Find (27). = sin e 0 X = 0 and

A: Given 3x2-y2=t2 and y=tsinθ

Q: 1 is 1 H.W Find y' for y = ecosx * tan-1(5x) * (5x² + 1) ?

A: for y , y'=?

Q: d²y dy and dx Find if x = sin 3z and y = tan23z dx2

A: It can be observed that both the variables x and y are the functions of  z, therefore to find the…

Q: 4Find dy/dx for: y = sec?x - tan?x b- y = sec -x) C- y = sin(tan(3x))

A: Since, you have posted multiple questions and the questions marked by you has multiple sub parts ,…

Q: The position of an object attached to a spring is given by (t) 3 cos(4t) – ¿sin(4t). where t is time…

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Q: X- A coshx + B in ha +13 Sin be +4e

A: Answer

Q: 1. If x = e²" and y = sin(3t), find in terms of t.

A: According to Bartleby q&amp;a I can attempt only one question

Q: (-1)*+1 bn x sin nx dx || n -ㅠ

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Q: Find for y = tan(x) dy dz2

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Q: d (i) Show that (2 dx -1 X 3x x tan 3 = tan-1* 3 x2+9 V3 i) Hence evaluate (tan dx . 3

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Q: o find for: y = sin(x") + 2* +n

A: Given,          y=sinxx+2x+π

Q: Solve the equation for x, where x is restricted to the given interval. y = 3 tan 2x - 1, for x in…

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Q: Q2: Evaluate: * Jx* sin(1- x)dx?

A: use substitution method to solve the integral

Q: d²y for 15 = cos x Find dx? cos x + a°y?

A: We need to find d2ydx2 for 15=cos x+x3y2. Let us differentiate both sides.                    0=-sin…

Q: If g (x) = sinx dx and =3, then g (0) is equal to A) 2 В -2 4 D

A: To find the solution.

Q: Find dy for X=3sec-vE tan (2t) and

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Q: Given that | sec (x) dx = tan(x) + A and tan(x) dx = ln | sec(x)| + A. Show that O sec2(0) d0 = 0…

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Q: Solve the differenttal equat on 1y +dy_64=12x-50 Sin 2x dx? doe

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Q: tan (e) 1+z* (d) (22+ cosh 2z)dz () z coshz dz zp-

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Q: on) b) Find if tan²y = x² + o V²+1 dt %3! dx Jysinx

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Q: a)- Find for, (x+ y)* = tan-14x + + Inlny !! dx

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Q: 4- Find dy/dx for: a- y = sec?x- tan?x b- y = sec - x) c- y = sin(tan(3x))

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Q: Find d2y/dx2 implicitly in terms of x and y 7xy + sin x = 2

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Q: In Va? + b² dx In x arc tan- Jo (x + a)² + b² where a and b are real.

A: We will prove the given identity by solving the integral using appropriate substitution.

Q: Q2) a) Find an® sec²y dy b) Is cos4xv2-stn4x dx = (2- sin4x) +Ctrue or false? show me

A: Use fundamental theorem of calculus for part (a)  For part (b) use substitution method

Q: a) f(x) = 10r23 + el2 + 53 - In(r)+ arccos(x) %3D

A: Given

Q: d (a) Show that -(sec x) = sec a tan r. d.x (c) Differentiate y = In(sec + tan x). •ㅠ/8 (d) Hence,…

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Q: If sin2y = (8/3)x° then dy/dx at a point (0.5, T/2) is

A: take derivative

Q: Find F dX, where x= 3 cost y= 1+3 sin 2r)

A: Given It has to find line integral of given parametrically curves Where

Q: B) Find and It x sin 3z and y= tan 3z dx

A: x=sin23xy=tan 3xWe need to find dydx and d2ydx2.

Q: let's consider the equation (2xy - sec2 x) dx + (x2 + 2y) dy = 0

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Q: Solve the fo llowing D.- E y + y tan X Cos X %3D

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Q: From the definition (Equation 4.46), construct »¡ (x) and n2(x). 1 d je(x) = (-x)' 1 d ; ne(x) = -…

A: The definition is nl(x)=-(-x)l1xddxlcos xx.   Substitute  n=1 in nl(x)=-(-x)l1xddxlcos xx.…