d sec z = sec z tan z dz

Q: y sin(Vu +3u-1) Oy = Vx x+ vZx y = e* sec(tan(x*)) y%3D u = In cos(x? + 1)|

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Q: (sin y – y sin æ)dx + (cos x + x cos y – y)dy = 0

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Q: a. S sec t (sec t + tan t)dt

A: Given: I=∫sectsect+tantdt for finding given integration, first we simplify given expression then…

Q: dy/dx = tan y cot x — sec y cosx

A: Let us consider the differential equation of the form Mdx+Ndy=0. then the equation is said to be…

Q: dy Given: y= tan x Find dt dx when x =- m and dt = 2 m/s 3

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Q: If y = atan (0) „x =a sec (0) prove or disprove d'y 3 cot(0) 4a dx

A: y =a tan3θ   ,   x = a sec2θ     'y' is a function of 'θ' and 'x' is also      a function of…

Q: cos s x dx 2. S: Vsin x

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Q: dy + (cos x)y = sin(x²) 1. sin x %3D dx

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Q: sin x sin y dx + cos x cos y dy = 0 2 mydx — пхdy

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Q: Find dy/dx

A: The given expression is:

Q: x cos'(y)dx + tan y dy = 0, y(4) = 7 2. X COS

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Q: sin(x) sin(y)dx + cos(x) cos(y)dy = 0, y (0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: 4th order RK method  yi+1=yi +16k1+2k2+2k3+k4Where ti+1=tn+h          k1=fti,yi,…

Q: af Find of f (x, y) = sin %3D dx 1+ Y COS 1+y () Option 1 sin 1+ y 1+ y Ontion 4

A: Partial derivative of a function in several variables with respect to one variable is calculated by…

Q: (B)(10M) Evaluate (y(x)) dx y(x) = cot (csc(sec(In x))) %3D

A: derivative

Q: d sec (z) = dz %3D sec(z) tan(z) O sec?(z) O (2) tan(z) O tan2(2)

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Q: dy y tan x – sec x ; y(0) = 1 dx

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Q: Find ay Sin(x+y)=Cos X t cos y

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Q: d tanx = sec?x. dx Prove that sec² %3D

A: To prove the equation, we need to simplify the left hand side of the equation. According to the…

Q: y = Ln (/Cot x) tan (eV) xy2 +y = 2 y = cos(sin vx)

A: Note: As per company's policy we are supposed to solve only 3 subparts of a question. So kindly…

Q: d sec (z) = dz see(z) tan(z) sec?(z) tan z) tan (?) "

A: To find the derivative of secz

Q: dy by implicit differentiation if sec(xy) = 4y. dx %3D Find dy dx ||

A: We have to find out

Q: Find d yldx by implicit differentiation for y+ sin y = x. A cor y tan y sec? y tan y sin y C) (1 +…

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Q: QI: Find 2 of xy = x + cot y dx Q2-

A: Given that: xy=x+cot y

Q: sin(x) sin(y)dx + cos(x) cos(y)dy= 0, y(0) = 2, h = 0.5, Find y (1) using fourth-order RK

A: We have to find y(1) using fourth-order RK.

Q: dy cos(x +y), when x = 0,y == dx

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Q: find dy/dx. y = (sec x + tan x)(sec x - tan x)

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Q: Find of xy = x + cot y dx

A: This Question need implicit differentiation

Q: b). Determine if y =x tan (x) satisfy dy_y x sec²(x) = 0 when y|x=0 = ( | dx

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Q: III. Find dy using implicit differentiation. d.r sec"(ry) = (cosh r)(tanh z+v5) + 2 csc-' (tan(y+…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: dx Vx Vx (1+Vx)2 •Tt/2 3 3 S/2 3cos® (x)sin?(x)dx S sec³ (x) sin³ (x)dx

A: Explanation of the solution is given below.....

Q: dy cos x + v sin x = sin x cOS X dx

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

Q: Find dy and simplify whenever possible. dx sec x+tan x 1. у 3 sec x-tan x 2. у 3 е * соs e * — sin e…

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Q: dx +x tan y dy sec y 3. 1+tan y

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Q: x cos z dy dx dz X Cos

A: Given,          ∫0π2∫01∫01-x2xcoszdydxdz

Q: dy + y sec x = tan x dx

A: We have to find complete solution.

Q: f x = sec(z) and y = tan(z) , then dy at z = dx 4

A: We can use the chain rule of derivative in order to solve the given problem.

Q: dy -sec y dx = 0 sec x %3D

A: We will find out the required general solution.

Q: (f) y = e* In(tanh(x))

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Q: sint dt de + 0 cos t – tan t

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Q: dy sec x Find for y = dx 1+ sec x dy dx II

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Q: (2y sin(x) cos(x) – y + 2y e) dx = (x – sin (x) – 4xyey)dy.

A: the differential equation Mdx+Ndy=0 is exact when ∂M∂y=∂N∂x where M and N are functions of x and y…

Q: d tan(2) = %3D dz sec(x) O cot(x) O sec-(z) O sec (z) tan (z) O

A: We use the standard results of derivatives.

Q: S(cscz cot z + 8z")dz O secz +z +c sec z+z+c O - sinz +z +c O cscz + z +c - csc z +z° +c

A: We will integrate the given function by using the formula of basic integrable functions.

Q: Find dy/dx y = -sec u, u = x- COS X |

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Q: (7) (y sec 2x + sec x tan x)dx + (tan x + 2y)dy = 0 (8) () ds + () dt = 0 (9) (2x³ – 3x²y + y³) =…

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Q: df/dx where f(x,y)=tan-1(y/x)

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Q: Find dy/dx. y = x' sec (-). A 1 sin 3x cos + x sin2 5x (e) B) x sec 5x sec C) x sec sec D x sin 5x…

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Q: 5. e tan y dx + (1-e) sec? y dy = 0. %3D

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Q: Find dx and simplify whenever possible. 1-cosh x 1. у 3D 1+cosh x 2. y = x tanh¯x + In V1 – x²

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Q: (b) Evaluate the integral sec X dx J sec x- cosX

A: To evaluate the given integral