[D] Find the smallest 11 and the second smallest T2 positive roots of the equation tanx = 4x, correct to 4 decimal places.

Q: F(s) = .L{cos 2t H(t-) + (912+2t-1) H(t– 2)}.

A: We will find out the required value.

Q: -2t e "(cost+3 sin t)

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Q: Q11 Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval…

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Q: Q2/a) Find the integral f tan5x dx cos³x b) Find the integral cos*x dx 1-sinx

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Q: : Q2) Find the derivatives of each of the following functions? 1- y= tan (V3x + In(5x)) 2 y In…

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Q: Find d2y/dx2 for the following functions: b) y = cos*(sec? 3x) 4 = COS

A: We are given : y=cos4(sec23x) ⇒dydx=4cos3(sec23x).(-sinsec23x).2sec(3x)sec 3x.tan…

Q: Find dt 1- t2 sin (t)

A: Solve the integration

Q: Find the third Maclaurin polynomial to f(x) = e sinx

A: The Maclaurin series; fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+.... Where the center is at x=a=0…

Q: a) fr'(2+x*)'dx bf sin(nx) dx )fx* In xdx

A: According to guidelines  we must answer only three of multipart questions. Please resubmit the…

Q: Q6A)If y = sin-¹ find Zxy. on

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

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: Which function is equivalent to f(t) = cos 4(t- T1/4)? *

A: Given that  f(t)=cos4(t-π\2)we need to find the equivalent equation from the given equation

Q: , - T<x<0 let f(x) : „sketch and find a n sin x 0<x<T

A: handwriting solution

Q: calculate L4 for f(x)=76 cos(x/2) over [2pi/4, 2pi/2]

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Q: Evaluate | e'(sin(1) + e*)°dt using an appropriate substitution.

A: Given : ∫etsin1+et9dt

Q: For f(x, y) = sin(9xy) evaluate fz at the point (2, 4

A: Answer is mentioned below

Q: Find the derivative. sin t du 4-u? di cost OA. 4- sin?1 O B. cos t(4- sin ?1) OC. 4- sint - cost O…

A: We need to find the integration of given expression.

Q: Find a function of the form y = A sin(kx) + C or y = A cos (kx) + C whose graph matches this one:

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Q: Which function is equivalent to f(t) = cos 4(t - TT/4)?

A: For two functions f:R→R and g:R→R to be equivalent, it means three things. First, the domains of the…

Q: Q1: Find dy/dx for the following functions (solve four only):- 4) y = cosh[sin-'(x²Inx)] (5) y =…

A: Here are the step by step solution of the given problems:

Q: Q5: Find dx for the following functions: (3) y = ex.sin² x In√x

A:

Q: Q1-Find dy / dx for the following functions: -2 2.8ln2 Cosh9x Y= 4 3 2 * Inxy cos0 log, 2

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Q: find the derivative d/du 1/(1+cos2(u))1/2

A: given:    ddu(11+cos2u)

Q: Q2\Find T.E of the function f (x) = sin 2x when a =1?

A: Given that  f(x)=sin(2x) at a=1  To find the T.E

Q: Use the Reduction Formula to evaluate the following (a) f sin“ x dx (b) S tan x sec4 x dx

A: (a) The reduction formula for ∫sinmxdx is given as the following.…

Q: Q1: Find dy/dx for the following functions:- (1) e – 3* = x sinh y (2) tan-12 = (Inx' + y²)

A:

Q: Use the Newton-Raphson Method to approximate the root of f(x) = 2 cos(x) – 2x + 1. (b)

A: Numarical methods: Newton Raphson method

Q: Let x = 0.17 and y = 1.76. Determine the value of C when you evaluate |tan-1(2x)dx. (Use 2 decimal…

A: This question can be solved using the concept of ILATE.

Q: Q1 Evaluate 1, where: -So I = -3x cos 2x dx

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Q: Plot the following function y=cos((2n/5)-x)

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Q: intergrate e^t^2 from sinx to 0

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Q: 4. £ sin tdt ㅇ

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Q: Q2) Find dy /dx for the following function: y = (sin-1x)sinx

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Q: Find the slope of the curve r = at 0 2+cos 0 O -1.155 O None of these O-1.551 O -1.515 2.

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

Q: Let F(2) = | sin (6t) dt. Find the MacLaurin polynomial of degree 7 for F(x). 0.63 Use this…

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Q: Q11 Find a root of an equation Bellow by using Bisection method Where, & < 0.003, on the interval…

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Q: dy for ] B2 (c): Find dx y = 3 sin-'(x²).

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

Q: Q4 Evaluate: f(1- cos²4x) sin4x dx.

A: The given integral is: I=∫1-cos24xsin4xdx   As we know the Power rule. ∫xndx=xn+1n+1+C

Q: Prb $2 x sinx dx メt)

A: We have to Solve given Improper Integral using Residue Theorem as Follows :

Q: Q4: Evaluate L(t cos(3t)).

A:

Q: Find the domain of the function g(t)=sin(e^x-1) only the x is in the exponent

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Q: For sin y=- find the value of so that (y+y")= - 1 at 1 at x=0 Cos X-

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Q: dy 1. Find 2 for the given function by differentiating it implicitly. dx ac tan-1 1- o

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Q: Find the approximations T10, M10, and S10 for 9 sin x dx. (Round your answers to six decimal places

A: Given:             ∫0π9sinxdx To find: The approximations to the integral T10 M10 S10 and the…

Q: L7t2 cos t 8(t)dt

A:

Q: Evaluate F(4). f(t)=sin(2t)cos(2t) Round-off to 4 decimal places. Answer: 0.0625

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Q: dy Q2- Find for the following function :- dx 1- y = sinh-1(tan x) – tanh-1(sin x)

A: Given that      y = sinh-1(tanx) - tanh-1(sinx) We have to find dy/dx.

Q: f) y = sin-¹ (x² - 1)

A: The given function is y=sin-1x2-1. The derivative of the function sin-1x is 11-x2. The power rule of…

Q: O Find the approximations T10, M10, and S10 for 10 sin(x) dx. (Round your answers to six decimal…

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Q4) Find the derivatives for the following: 1) y? + 3x? – tan-(3x – 12y) = 7n 2) y =…

A: Given,  (1) y2+3x2-tan-13x-12y = 7π    (2) y = sin-1xlntan6x   We have to find the derivative of the…