Q1:Find dx for the following a) y = tan-(sinx) + In (sec2x) + 8tan5x + etm

Q: Use the trapezoidal rule with n = 4 to approximate cos(x) dx finel

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

A: A detailed solution is given below.

Q: y = sin(x) at |0, 0, with four equally – spaced points

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Q: dy -is: then dx cos. cos x Q21. If y = tan 1+sin x

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Q: 3 tan-(x)dx O V3 - In (8) V3 TL In (4) 2/3 2.

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Q: 2FI 2 sin nx dx cos nx dx =0, where n integer. %3D !! 0.

A: Note: -     as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: j) S(sin³x cos x)dx

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Q: Differentiate y with respect to x where y= cos(-3x2)

A: Differentiate y with respect to x.

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

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Q: sin t dy If y = tan" ), show that cos t-1 dt 2 II

A: Formula Sin2x + cos2x =1  Find dy/dt

Q: 3. Find the length of the curve y = In (cos x), 0 <x <

A: we have to find length of the curve

Q: Differentiate implicitly to find dy/dx. sec(xy) + tan(xy) + 2 = 24 dy. %3D

A: ddx(tanx)=sex2xddx(sec x)=sec x .tan xddx(uv)=udvdx+vdudx

Q: 3. Find the area under one arch of the curve y = sin(2r).

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Q: A. Use Simpson's rule to evaluate -dx ,by taking n= 4. Inx B. Find the length of the curve y = x…

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Q: dy Find for y = - 7x+5 cos x. dx

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Q: TT sin 5. Approximate dx by Simpson's rule with seventh ordinates?

A: Simpson's Rule:    ∫abf(x)dx=∆x3f(x0)+4f(x1)+2f(x2)+...+2f(xn-2)+4(fn-1)+f(xn) Where, ∆x=b-an We…

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: az for a – yz+ sin(cyz) = 5. dx 9. Find %3D

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x -dx, in six…

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Q: dy Find for y=7x sin x+14x cos x-14 sln x. dy

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Q: cos(x) dx

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Q: I. Find dy/dx in the following: 3. Y= tan (1+sinx)

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Q: Evaluate 2Sin x´dx, by (i) mid-point rule, and (ii) Simpson's 1/3 rule.

A: i)Given:        ∫242sinx2dx   Mid-point rule:       ∫abf(x)dx=∆xfx0+x12+fx1+x22+fx2+x32+...…

Q: dz az Find and of the equation z = xy arctan ax ду

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Q: 22. Use the Trapezoidal Rule with n = 4 to approximate 1 (x− 1)² dx

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Q: Q) - Find of y = sin de dy ! -11

A: Siny = 1/x.

Q: 2. Find the length of the curve: y = 2 In (sin (x)):sxS*

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Q: I) Find the volume of the solid obtained by rotating the sine function between x -0 and x x about…

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Q: Use the Errors in the Trapezoidal Rule and Simpson's Rule cos(4nx) dx

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Q: Show that sin x dx=1-cos t (0<x<t<}r).

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Q: tan '(z) Find for y = In( - dy dz You do not have to completely simplify!

A: topic - derivatives

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

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Q: 1 Evaluate dx by using Trapezoidal rule. Hence obtain 1 + x2 he approximate value of .

A: I am attaching image so that you understand each and every step.

Q: Find the points on the cardioid r = 4(1 – sin0) at which there is a horizontal tangent line, a…

A: According to the given information, it is required to determine the horizontal tangent line,…

Q: Q3: dy\dx off(x)= tan x cot x is

A: Given,    f(x) = tan(x) cot(x)         = 1   As we know, inverse of tan(x) is cot(x).

Q: (3) Let 4 = x²y² + x sin y, find 2 dy in terms of x and y; dx (4) Find the equation of the tangent…

A: For the given problem, there are two questions. But according to rules of Bartleby only the first…

Q: 2. Use trigonometric substitution to Vx² – 25 dx integrate: 4

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Q: find dy dx ² +F y = 3 casch + Cosa 3 and x = Sin²³ o

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Q: Use the composite trapezoidal rule with the step length h = 0.1 to evaluate sin x = 5.² in six…

A: Given integral is ∫0πsinxxdx. We have to evaluate the given integral by using composite trapezoidal…

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

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Q: Find the length of one arch of the cycloid x= 5(t-sin(t)), y= 5(1-cos(t)).

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Q: (4xy) w = 3 sin (4xy tan (z) +4 In (5yz)- 8 e

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Q: The linear approximation at x = 0 to sin(6x) is A + Bx where A is: Preview and where B is: Preview

A: First of all, consider the formula to find the linear approximation at any point a for function any…

Q: 2- Evaluate sin x dx using i. Trapezoidal rule ii. Simpson's rule iii. Simpson's rule, taking n = 6

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Q: Let f(x,y) = tan 1(sinh (y) + 2020 cos - 'y) + 4xy Calculate

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Q: Find dy/dx in terms of x and y if cos² (4y) + sin“(4y) = y + 8. %3D

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Q: sin(20nnt) ass A: AS(t)ln:0dd En=1 %3D %3D1

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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: on the right. Prompts Submitted Answers D Ssin(3x)sin(4x)dx S(cos(x) - cos(7x)dx} Jsin(3x)cos(4x)dx…

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