[4] Solve for x in the equation: arctan(x+1)+arctan(x-1)=arctan(12)

Q: f(x) = -3 cos (+)-2

A:

Q: y = Arctan ( 2+x 1-2x

A: We have to find derivative

Q: What is the MOST acceptable method to determine the general solution for the function: y" – y'- 2y =…

A: The most suitable method for the general solution of the ordinary differential equation is method of…

Q: 5. Solve the equation (D² + 1)y = sec x tan x

A:

Q: Q4: Using Fixed-Point Method, find the Positive Root of the following equation: Sin x = 5.x - 2 ,…

A: We have to find positive root by using fixed point method.

Q: Q: Find fo 1- y = tan/2/2x + 7 (x² +x)(x² -x+1) 2- y = x*

A:

Q: Sec2(3x)=4 in the interval [0,2pi]

A:

Q: COs x 10. S V4-sin2 x

A:

Q: Q1: Solve Two Only : x sin (x+sinx)" a- limx-0 sin'x b-lim0 X-xcos4x

A: Solve any two

Q: А. ELIMINAТЕ THE ARBITRARY CONSTANT/S IN THЕ EQUATION. 1. у%3D Ае2х + Вхе2х 2. у%3D Ах?+ Be-x 3.…

A:

Q: Solve using any method: y"+y' - 2y = sin x

A:

Q: x2 Plot the function f(x) for -4<xS4. 2 + sinx +x*

A: We have to plot the function f(x) = x2 / ( 2 + Sinx + x4 ) for - 4 &lt;_ x &lt;_ 4

Q: sinh(3a) s. Solve for f(21)(x) given that f(x) = 3

A: Topic = Derivative

Q: sech? (In x²) 15. f x/6 tanh (In x²) – tanh² (In x²) dx

A: I = ∫ sec h2 (ln x2)x6tan h(ln x2)-tan h2(ln x2)dx=∫ sec h2(2ln x)x6tan h(ln x2)-tan h2(ln x2) dx=∫…

Q: Q10.. Solve (1+ x²) + y = tan-'x. dx

A:

Q: | (56- x-x2) dx has its largest Find two numbers a and b with asb such that value. a a = and b =

A:

Q: (tan²z+1)° sec² x dr

A: Given,         ∫tan2x+12sec2xdx

Q: (e) ex-e-x

A:

Q: secant

A:

Q: Evaluate J3 25-x² 2x3 dx. Show complete pencil-and-paper calculus-based evidence for your…

A: We have to evaluate the integral ∫342x325-x2dx.

Q: _3. lim (17x – 4) х--18 А. -140 В. 310 С. -310 D. DNE

A:

Q: how do I solve this problem ?lim x-0 1-cosx/cos^2x-3cosx+2

A: First we use substitution property of limit, and that's given an undetermined form.Then we use…

Q: Graph y=-  sin (-px) for  - 3 &lt;= x &lt;= 3

A: We have to graph y=-sin-πx, where -3≤x≤3 We know that sine is odd function. So, sin-x=-sinx Given…

Q: x*dx 1. - (16-x)

A: The solution of the problem is given in the next step.

Q: 7rebz dx = 2 Your answer should be in exact form.)

A: Given integral to evaluate ∫-227xe6xdx This can be integrated using the rule ∫u·vdx=u∫vdx-∫u'∫vdxdx

Q: (1+v1-x²` sech-1 x (A) O sech x

A:

Q: f(x) = ln(ex − 9)   find domain

A:

Q: sin(4z) 7. lim I-0

A:

Q: f(x) = x² sinh (3x) - %3D

A: Find f`(x)

Q: g(x)=-sin X- 元一4

A: Let us first plot the graph of the following. From the above graph, we see the following.…

Q: -2 tan t X' = X + -1 1

A:

Q: f(x) = 3x+sinx-e^x solve using numerical analysis

A:

Q: Find (f-1)'(a). f(x) = tan-(x) + 6x², a = 0 (f-1)(a) =

A: To find the derivative of inverse functions

Q: 8. y = x ¹ Arctan 4(x4)

A:

Q: sin z coS T Q1-Solve by hospital rule lim

A:

Q: Y= (10x; + x, } (5x, + x}

A: Consider the given: Y=10x12+x235x1+x225Partially differentiate w.r.t.…

Q: Q3- Solve the equation for x value :- 1- tanh x

A:

Q: sin (3x2-7x+8) 5.) lim X-2 Solve without using L'Hospital's rule. x-2

A:

Q: sinh(3x Solve for f(21) (x) given that f(x) =

A:

Q: Evaluate f dx (x²+4)²

A: Given problem:-

Q: 1 x³ -1 y =e*(dsin 3x- tanx')+- 10 y' = ? (fx +1)

A:

Q: ) f(x) = 4 sin²(3x) - sin(3x) + 5.

A: As per the question we are given the following function : f(x) = 4sin2(3x) - sin(3x) + 5, And we…

Q: et Lim x-0 +e³-x²-2 sin² x-x²

A:

Q: y = Arctan 2+x 1-2x

A:

Q: x²+3X -10 しim X-5 Sin (x+5)

A: Introduction: The limit of a function is a value to which the function moves as the independent…

Q: 6) y = cos-1 (9x2 – 4) V1 + (9x2 – 4)2 -18x C) V1 - (9x2 – 4)2

A: Given function, y=cos-19x2-4

Q: f- x" + 2x' + x = 5u(t)

A:

Q: (cos(3x+ 1))² lim 7+ 4x

A: our objective is to find the limit