Find the smallest positive root by using the bisection method f (x) = 4 cos(2x)–x' +5 with 3 decimal plates

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

A:

Q: Find tan-1 x2 -dx using integration by parts.

A: Integral by parts

Q: Locate the first nontrivial root of sin(x) = x^2 where x is in radians. Use a graphical technique…

A: The complete solutions are given below

Q: sin(cos¬1/2x²) = v3x? sO:

A: Given:   SinCos-1 2x2=3x2   To find out: x=?

Q: Find if, y - x = sin(xy)

A: In this question we will use differentiation property for solving this question and after that we…

Q: x+(1/x)=2 cos theta , then show that x2+(1/x2 )=2 cos2 theta

A:

Q: Show that for x > 0, sin ¹x+cos -1 X = FIN 2

A:

Q: Determine the constants a and b such that                                                       sin…

A:

Q: Find y" of sin y + cos x = 1 using implicit differtiation

A: Given Data: Equation: siny+cosx=1 ......1   The first differentiation of equation (1) using the…

Q: Integral: Evaluate -2 sin 2x xp= V9+ cos² 2x

A:

Q: Locate the first nontrivial root of sin(x) = x2 where x is in radians. Use bisection with the…

A: To do the calculations in Excel, first enter the numbers in separate cells. Each number is…

Q: Simplify (if necessary) then 2 Compute: y" +Éy' for a2 y(z) = rar (zx+ cosx')] [6(cosh2x- sinh2x)] d…

A: given yz=∂2∂x∂zz2x+cosx96cosh2x-6sinh2x36cos2πxddx3x2 claim- if necessary simplify then compute the…

Q: Find the smallest positive root by using the bisection method f(x) = 4 cos(2.x) –-x' +5 with 3…

A:

Q: Simplify 3π2 sinh (πx) - π2 cosh (πx) - 3 sinh (πx) + cosh (πx) = 0 on the interval (0,1).

A:

Q: : Find value of x if :- 2 sinh (2x) - 4 cosh (2x) = - 4

A:

Q: C- Find f' of the following: 1) √2x³-2² + In ² 2) 3xe³r+1 3) sin ¹(³).

A:

Q: DIFFERENTIATE THE GIVEN y = x² co sec™ 3 -1 * COS

A:

Q: "/2 cost x dx "/4 sin6 x

A:

Q: Locate the first nontrivial root of sin(x) = x² where x is in radians. Use bisection with the…

A: Let fx=x2-sinx with the initial interval 0.5,1.   Iteration 1:…

Q: Use a calculator to compute sinh x and cosh x for x = −3, 0, 5.

A:

Q: Find y' , for y=Sin-1(Cos√x)+Cos-1(Sin√x)

A: The solution for the above question is as shown below.

Q: Find cos(u+v) sinu= -4/5 with 3pi/2 <u<2pi and cosv= -5/13 with pi/2 <v<pi

A: u is in the fourth quadrant. There cos will be positive.

Q: Find , if z= cos(3x² + 7y°) O 2x sin(3a? + 7y³) sin(3x² + 7y³) -9x cos(3x2 + 7y°) -6x sin(3x? + 7y°)

A:

Q: Calculate for one real root of tan r = 4x with xo = 1.2 up to four decimal places %3D using the…

A:

Q: Find a root of  x- sin(x) - (1/2)= 0 correct to four decimal places by Secant Method

A: The given function is: x-sinx-12=0 Let, fx=x-sinx-12 Here, f0=-0.5f1=-0.3415f2=0.5907