2) Y=2- IxxY =O, X =0, X - 1 2 Sketch the reqion.

Q: 1 2 de 4-cose %3D II

A: Given,          ∫0π214-cosθdθ

Q: 28- For What values of a anel ら -2 fCx) = ー<くく %3D ax-b Continuons at every x ?

A:

Q: Use Taylor’s formula to find a quadratic approximation of ƒ(x, y) = cos x cos y at the origin.…

A:

Q: Find z in 2= Sinh (4-j5). cos (4-5) express in polar porm

A:

Q: find the volume of the solid

A: Find volume of solid.Sketch the given function.

Q: Use Euler method to approximate the value of y(0.1), given y' - x2 - y = 5, y(0) = 3 with Ax = 0.025…

A:

Q: The approximation of xln(x + 3) dx using two points Gaussian quadrature formula is:

A:

Q: sin (2t + 1) - dt cos? (2t + 1) 31.

A: Use trigonometric substitution method for solving the integral.

Q: Use two different methods to calculate dzu/ar if u = /x² + y². = est, and y = 1 + s² cosz. IUse two…

A:

Q: The integration expression + 4)cos(3ln(x) +4)dx must be transformed into using suitable choice of…

A:

Q: リ=!-Cos2x 1+(os 2x prove y = 2 tanx .secx

A:

Q: SVEsin(1+ VF )dz 4 Vz sin .3

A:

Q: the rocket exploded at the peak of the projectile, part I falls at distance less than d to the…

A: In the given question, the concept of Centre of mass is applied. Centre of Mass The centre of mass…

Q: 2z+1 37 Prove the equation through integral calculatipns. dz < 5+z? 2

A: We will do the proof step by step.

Q: au at a²u 28. Solve Əx² U(x, 0) = 3 sin 2+x, U(0, t) = 0, U(1, t) = 0. = where 0 0 together with…

A:

Q: 5. If y= tan x, prove that y``=2(1+ y² )(3+ y²).

A: Prove the given equation

Q: y = 46 tan B3 – 2 = 4¢ tan az – 2 %3D and y = 46 tan B2 +2 = 46 tan æ3 + 2 %3D and hence all the gas…

A:

Q: dt cos (2 sin 21) /1– 4r

A:

Q: The standard form of 3dy-xydx = 3y3e4x/3  by Bernoulli's equation is:

A:

Q: 8 2 1. Reverse order, then integrate Sr) dydx.

A: Given:    Intergral is given

Q: A stretched string of length 20 cm is set oscillating by displacing it midpoint from the rest…

A:

Q: Let C be the shortest path that connects t to ni and I = S. (coshz + 1)dz. Then I=0 1--sinh π+…

A:

Q: If r = (3 cosh 2t)i+ (3 sinh 2t)j+ 6tk and t = In 2 then اخترأحد الخيارات

A:

Q: Find the roots of 5sin^2x-8cos^5x=0, x_0=0.5, using Newton method

A: Concept Used: Newton Method xi+1=xi-f(xi)f'(xi+1) Consider 5sin2(x)-8cos5(x)=0So…

Q: AXYZ is isosceles with base YZ. If meX = 57°, what is mzY? Show work!

A:

Q: Y2-1 dy

A: Follow the procedure given below.

Q: 44. Find a parametrization of the right branch (x > 0) of the hyperbola 1 - using cosh t and sinh t.…

A: The equation of hyperbola is xa2-yb2=1   The right branch (x&gt;0) of the hyperbola can be…

Q: 3. A wooden ball is tied on a string 30 cm long, and is oscillating like a pendulum. It is initially…

A:

Q: iax Solue the integral complex path integreil (Residue) 4. dx with the -x2 +2ix +1 method.

A: A

Q: Find 2. dy of 2.

A:

Q: (e²)(sin²2x) Compute In y and In 5z

A: Basic log formula are applied to solve the question.

Q: Obtain the General Solution of: (z + 2)* cos yudz - [sin y In(3z 4 6) – d

A:

Q: Give two examples of the situation with the solution clearly and in order Soperties of Bessel's…

A:

Q: y" +y' = cos 3x

A:

Q: Solve the nonhomogeneous opdr – 2rdo = q' In odo. equation

A:

Q: 10. Using the substitution u 2x - 1, prove that %3D 3 8 dx J1 (2x-1) 25

A:

Q: 2. A. If : = sin(3x+2y) , verify that 2 -3 = -6z ax2 B. If f = x³y3 + 2xcosy + y?lnx then show that…

A: x=sin (3x+2y)

Q: 19. Find potential function for = (3xy, æ³)

A:

Q: 8. 4 6° sin°3ycos *3y dy

A:

Q: find do diy y = (cos(x))*os)

A: Given y=(cos(x))^(cosx) Now differentiate y with respect to x

Q: ly 3)[e^(-2y)]dy

A:

Q: 10s¯ + 8s + 29 inverse laplace ( (2s 3s + 7)- -

A: We have to find the partial fraction first.

Q: # 2. So sin 32 dz C: Izl=3 (z-5)

A:

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey

Q: Find a general solution of each reducible second-order differ- ential equation y" = (y')2

A: Given, The differential equation y"=(y')2 .               ................(1)

Q: how can i derive this equation in 3 D? *be aqy ay az at Əx

A: Taking heat in three dimensions (I) Net amount of heat conducted into dxdydz per unit time.…

Q: Suppose the true relationship of Y and X, Z is given by 1. Yi = B1Xi + B2Zi + ei under classical…

A:

Q: Evaluate the integral. sin (6t + 17) -dt CoS 2 (6t + 17) sin (6t + 17) dt%3D cos 2 (6t + 17)

A:

Q: 1. y = Arctan 3-V9-x2 2. y = 4 Arccos + 2v4 - x2 2 y = In (*+2), (x-1)2 3. у%3DIn

A:

Q: 6. y 45

A:

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.