02 for the function : a x Find x² sin ( y³ + x e³z - cos ( z? ) = 3 y - 6 z + 8 .A 2 x sin ( 3y ) + 3e3z -6 - 3x e3z - 2 z sin ( 2z) dz .B 2 z sin ( z? ) cos ( y ) + e3z +6 - 3 x e3z az a x %3D 2х .C dz 32 2 x sin (y3) + e dx 6 - 3x e3z – 2 z sin ( z?) .D dz Зу?x 2сos (y3) -з дх —6 — 3хез 3z - 2 z sin ( z²) II

Q: 17 3 sin x-4 coS X

A: Solution 17. Given integral is  ∫13sinx-4cosxdx. Now, 3sinx-4cosx=6 tanx21+tan2x2-4 1-tan2x21+tan2x2…

Q: Four equations are provided below. Which equation follows from the Power Rule? I. (P)' = pr P 1…

A: Answer is option (a)  Because only equation 3rd follows the power rule .

Q: 10. If y zx[sin{inx)- cos(Inx)y find dy/dx. A. sin(inx) B. cos(Inx) C. -sin(inx) D. -cos(Inx) 11. If…

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Q: 2x2sinh(x3)cosh?(x3) Option 3 O :The dy/dx for the y(x) = sinh?(x3) cosh ²(3x²) Option 1 O 6x2…

A: Solve for the given

Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

A:

Q: What is the rule of a function of the form f (a) = a sin(br +c) +d or f (x) = a cos(br + c) +d whose…

A: We are asked to find the equation of the graph.

Q: Cosx Find (x), f (x) +{In(Tan). 2Sin?x 2 ||

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Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Choose function(s) in the explicit form. Select all that apply. O y = e In(e + e) + ce sin z y = Cos…

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Q: 0Z for the function : a x Find x2 sin ( y ) + x e cos ( z? ) = 3 y - 6 z + 8

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Q: Evaluate f 3xV1 – 2x² dx A(1 – 2x*) + C B. (1 – 2x*) +c (1-2x²)³ D. +C 2 Evaluate S dx csc 2x-cot 2x…

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Q: (D² - 9)y = 0. (A) y = e*(c,cos2r +c sin2x) B y = c,cosh 3x + c,sinh 3x y = c,cosh – 3x + c,sinh 3x…

A: Solution

Q: is equal to sec (2x) + In|sec(2x)|+ C sec (2x) – In|sec(2x)| + C the above the above Gsec (2x) –…

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Q: f(x) A B = arcsin x, then lim 1/1/12 0 ㅠ 6 f(x)−ƒ( ² ) X→ X- 1|2 is

A:

Q: Using the substitution u = cos(2x), S sin (2x) cos (2x) dx %3D

A: The given integral is ∫sin52xcos32xdx.

Q: Q5: Find for the following functions: (1) In(x - y) = xy + y³; (4) y = x sinh 2x-cosh 2x (2) y =…

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Q: find the (a) domain and (b) range.

A: As per guidelines, we are supposed to solve only first three questions. Please repost other…

Q: d 6. dx sine 1 sin(x²) (B) (D) – sint=") (A) – x sin(x²) (C) x sin(x²)

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Q: f(x.y) = xtan(). =tan( ес

A:

Q: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

A: Sinhu.Coshv =1/2 [Sinh (u+ v) + Sinh (u- v)]

Q: Q: Show that the following functions are inverse functions? 1. Vãy = x2- 4x + 16V , x24 x-2 2. y =…

A: Q1:Given:xy=x52-4x32=16x                                        →...(1)To show:The functions are…

Q: 3. (a) Determine whether the function y=1-cosx is even, odd or neither. (b)Find antiderivative of 3…

A: Consider the given function as y=1-cosx. Check the function is odd or even as follows. let…

Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: You are given that h (x) C = dh dx for a number c. You have to find c. = 6 sin (7x) + 5 cos(7x) 3…

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Q: 12, y = xsin ²x (Ans. sin² x + x sin 2x)

A:

Q: Find f"(7) given f(x) =- sin(z – 3x) our Answer:

A: Please see the below picture for detailed solution.

Q: What is the equation of the graph below? (x.0) (22.-2) O y = sin (2x) - 1 %3D O y = cos (2x) - 1 O y…

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Q: Given: z = cos(xy) Find: z dx²

A: Given : z=cos(xy)

Q: 3) Given y = sin x. State the domain and range (#2,1) (x.0) (2x, 0). (0,0) (3x2-1) Domain = Range =…

A: We have given  y=sinx Domain is the values of x for which a function is defined. y=sinx is defined…