Simplify and proof the distributive law (x+y)(x’+y) = xx’+xy+yx’+yy = y .

Q: sec z 47. tan z tan z

A:

Q: Ý ху X Sin

A:

Q: x=2- secy, x=2, y = 3 and y = 0; about x = 2

A: Using Washer method, we find the volume of revolution of the given region. The formula is for the…

Q: Complete

A:

Q: Determine la solución general de la ecuación diferencial Y'-2x/2-x^2(y)=e^x. Y(2)=4

A:

Q: Show that the differential equation (x + y)dx - 2xdy = 0 is homogeneous and then use the…

A:

Q: Determine the solution to the given ODE: = (1 + 2z) √ over the interval from x-0 to 1 using a step…

A: The given ordinary differential equation is dydx=1+2xy    h=0.25, x0=0 , y0 =1 The objective is to…

Q: y" + y = sec x tan x

A:

Q: 2+ Cotx 3 3 tanx= 353 3 tanx = Cotx 3 %3D 313 3. 3 3

A: The solution is :

Q: evaluate using the appropriate method or combination of methods.

A:

Q: 2 n- tan x sec"- 9. Show that for n > 2, п-2 sec" x dx + n - sec" 1 x dx п — 1 | 4 Use this to find…

A: You need to use reduction formula to integrate the function, such that: You need to use integration…

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: sinh (iz) = i sinz sintiz) =isinh z,escia)= cosh: 2. !!

A: In this question, the concept of a trigonometric function is applied, Trigonometric Function The…

Q: Show that the differential equation (x + y)dx - 2xdy = 0 is homogeneous and then use the…

A:

Q: This is on Method of Solution of Higher-Order Linear ODE with Constant Coefficients. Please utilize…

A:

Q: dN₁ dt dN₂ dt 5N₁ 1 N₁ 20 N₂ 17 9N₂ 1-- N₂ 20 N₁ 17 1.6- 0.6-

A: This is a question of the equlibrium of the system.

Q: Prove: sinh(x – y) = sinh(x) cosh(y) – cosh(x) sinh(y)

A: The basic relations we need to know to solve this problem are, sinh(x) = ex- e-x2cosh(x) = ex+ e-x2

Q: La curva 3 de la figura mostrada tiene la siguiente tabla de datos X1 X2 X3 27.7 28 29 30 F(x)4.1…

A: Formula: The Lagrange interpolation polynomial through the points x0, y0, x1, y1, x2, y2, x3, y3 is…

Q: Prove the identities sinh (x + y) = sinh x cosh y + cosh x sinh y, cosh (x + y) = cosh x cosh y +…

A:

Q: Can you provide 1 example of Differential Operators (4th order 1 Imaginary and 1 Repeated Distinct…

A:

Q: Y"+y'=secxtanx by using Annihilator methode

A:

Q: 6] y= 4x+2–- 5x6 Standard Form: Degree: Sign of LC: as x→-0, y → as x 0, y→

A:

Q: 2In|tanh(0.5x)| + C 4tan-le0.5x + C E 21n|csc(0.5x) + cot(0.5x)| + C

A:

Q: sinh(3-j5) (3 + j4)4 13-j7 (3 – j5)(2-j7)

A: Given sinh(3-j5)3+j443-j52-j73-j7.  To evaluate the given expression.

Q: Test for homogeneity 3. f(x, y) = tanx - sec²x - cosy 4. f(x, y): x²+3xy

A:

Q: Find the solution using Cholesky’s method. Not using gausse elimination

A:

Q: First and second derrivative of y= 2 Arccos(1-x/2)+√4x-x^2

A: Given, y=2cos−11−x2+4x−x2

Q: sc 2x - cot 2x = 0 1 sec²x

A: We can find the answer as below.

Q: Find the limits

A: Consider the provided expression, limx,y→0,4xy Find the limit of the provided expression.

Q: cu Ifu =(x* +2yz,y +2:x )Prove that (y' - a)+(x-y= + (-xy) cu =0. - EX

A:

Q: 4. sin 5. y = x ArcCC 1 + v1-x² 2+X 6. y = Arccot x + Arctan 1-2x >| ×

A:

Q: S(sec z tan z – 3z²)dz -secz – z³ +c sec z + x³ + c sec - * +с tan z + 1³ + c O - sec z + z° +c

A: Use integration rules

Q: Verify the statement of Example 2. Also verify that y = cosh x and y = sinh x are solutions of y'' =…

A: Given- y=coshx and y= sinhx. To verify- y''=y Formula used- ddxcoshx=sinhx and ddxsinhx=coshx.

Q: y-y-coshx Ans.

A:

Q: sinh (u + v)= sinh u. cosh v+ cosh u. sinh v и.

A: Consider the Identities for hyperbolic functions and expand the given expression.…

Q: using Trgananetre Represent the Fonrier Selies 1 fex) ○くxく1 -1 -1 (x 40

A:

Q: 2. tanh x (12) tanh(2x) = %3D 1+tanh x

A: Answer

Q: tan" -1 I# Z-X FEMD fyx At (-,1).

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

Q: i. y = sinh-1 (x), ii.y = cosh-1 (x),x > 1 iii.y = tanh-1 (x), |x| < 1 %3D

A:

Q: general solution of y" + y = sec x tan x

A: Solution :-

Q: 21 y=-5x Degree: Sign of LC: as x→-0, y→

A:

Q: 6 ý x In x=y 2/y-1 (も 2y=y cotx

A:

Q: solve eYsin(x) -y'cos"x = 0 2. cos¯x=0

A:

Q: tan x sec xdx = (sec x) * - (sec 2)* +c 10 음(tan x) 을(tan z), +c 10 None (tanx) + (tan x) +c 금 (sec…

A: Given:⇒∫sec4x*tan(x)3dxWe know that sec2x=tan2x+1⇒∫sec2x(tan73x+tan(x)3 dxSubstitute u=tan(x) →…

Q: using the product rule, how do I find the derrivative of  h(x)=cosxsinx

A: According to the question, we have to find the derivative of the function hx=cosxsinx. The…

Q: tanh(x) = %3D ete

A:

Q: 5-7 -1 Using quotient rule, show-that d [cotx] dx 2. 1+x

A:

Q: dt 4e -et

A: To evaluate the integral: ∫dt4e-t-et Solution: Given integral can be written as:…

Statements and Logic

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