19. For all positive angles less than 360°, if csc(2x +30°) = cos(3y- 15°), the %3D sum of x and y is

Q: The general solution of y" + 16y = cost is: Select one: a. y = C,cos(4t) + C2sin(4t) + cost 15 O b.…

A: A detailed solution is given below.

Q: If y=C,cos2x +C,sin2x+2sinx is the general solution of a certain nonhomogegeous LDE, which of the…

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Q: If y = 12y sin(4z) – 12z sin(4y), then (z, y) = 6y? sin(4z) + 3z cos(4y) + h(x) O (z, y) = 6y²…

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Q: Under what conditions on A and B does the B.V.P x'y" - 3xy' +3y = cos x, solution, no solution ,…

A: Given equation is, x2y''-3xy'+3y=cosx Take the homogeneous term, x2y''-3xy'+3y=0 Take y=xn,…

Q: Show that 0, if m if m + n sin(nx) sin(mx) dx T, = n IT

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Q: If the first line has the form Ax + By + C = 0 and the second line has the form Dx + Ey + F = 0 and…

A: The first line is of the form Ax+By+C=0and the second line is of the form Dx+Ey+F=0 As the first…

Q: Given that y1(x) = cos x is a solution to the ODE: (sin r)y" – 2(cos r)y' – (sin æ)y = 0 Then the…

A: The given differential equation is: (sin x) y''-(2 cos x) y'-(sin x) y=0Therefore:y''-(2 cot x)…

Q: The general solution of y"+ 16y = cost is: %3D Select one: a. 1 y = C,cos(4t) + C,sin(4t) + Cost 15…

A: Given differential equation y''+16y=cost We have to find the general solution of the given…

Q: 2. Show that u(x, t) = cos(x – ct) is a solution of Ut + cuz = (0

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Q: if y= tan (cos(u)), u = cos )and t In(x2) dy then when x Ve is -8 5Ve 8 5Ve 4 5Ve -4 5/e

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Q: If xty= 2e Cos Øand x-y=2ies.m Ø show that Su

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Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: If z = x2 + y² and x t cos 2r and y = r sint, then %3D a2z is at2 (A) 2 cos²(2r) + 2r? cos?(t) – 2ry…

A: Given  z=x2+y2      and x= t cos 2r ,y= r sin t First substitute x,y values in z  Then derivative…

Q: (10) The result of (D-3D D, +2D;)sin(x-2y) is

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Q: 1. The loop of y = x '(4 - X) 2. y = 6x – x², y = x²– 2x 3. у %3D2х y? + 4x – 8 = 0 4. An arch of y…

A: As per the guidelines we can solve 1 problem only

Q: S cos“C)dy

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Q: 3.4.4 Evaluate ff sin(x + y) dx dy over the triangle whose vertices are (0, 0), (2, 1), (1, 2).

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Q: If y=C,cos2x + C,sin2x+2sinx is the general solution of a certain nonhomogegeous LDE, which of the…

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Q: Find y' (or ) if In(21y) sin z = zy4 + 8z5 y5-yln(21y) cos z+40z4y sin z+4zy4 y5-yln(21y) cos…

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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…

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Q: In A XYZ, ZZ is a right angle and mZX = 53°. Which statement is true O cos 53* YZ %3D XY XZ O tan…

A: From the given figure representative diagram is shown below:   With respect to ∠53°.…

Q: If ſ cos* xdx = Ax+B sin 2x+C sin 4x +D, then {4,B,C} equals S3 1 1] 18 32 4 [3 1 1 (b) 8 4 32 ƒ1 1…

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Q: Given, y = (1+ cos 2t)-Find dy dt 8 sin 2t (1+cos 2t) sin 2t 5 (1+cos 2t) -4 sin 2t 5 (1+cos 2t) 8…

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Q: Solve the following DEs by LT. 1. y" + 2y' – 3y = sin(2x), y(0) = y'(0) = 0 2. y"" – 3y" + 3y' – y =…

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Q: O Consider d = - CoSk; yeo) =0,iylo) Reduce he abore initial vaeue problem To be roltera entegral…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8); u =

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Q: and 3 point Gauss Quadrature 2 By using e sfim afe : 2 dx メ-2 い)S, dx Nx

A: The given problem is to estimate the integral using 2 point gauss quadrature rule and 3 point gauss…

Q: The value of the integral . rcos ydydr is cos 8 cos 4 b. - cos 8+ cos 4 2 1 c. cos 8 – cos 4 + Cos 8…

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Q: ==, j= 4 and x=0 about tue liney=5

A: Disk method: -  When the axis of revolution is the plane region's boundary and the cross-sectional…

Q: If y=C,cos2x + C ,sin2x + 2sinx is the general solution of a certain nonhomogegeous LDE, which of…

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Q: The general solution of y"+ 16y=cost is: Select one: a. y = C,cos(4t)+ C,sin(4t) + 1 cost 15 b. y=…

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

Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); U =

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Q: If u = sin® 3 - x 2 find Ou Əx Ou and ह Hence show that 2 Ou 1 y x 3 –x dy Ou = 0

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Q: Ex: If w cos(uv), u = = xyz, y = π 4(x²+y²)' aw find at point (1, 1, 1). əx

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Q: 9. Use the method of undetermined coefficients to solve the given system sin t X' X + %3D -2 cos

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Q: 1. If Z = sin r+ 2 I+1 6. - ", find dZ/dr.

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); u = i

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Q: The general solution of y" + 16y3 cost is: Select one: a. y= C, cos(4t) + C2 sin(4t) + 1 -tcost 15 O…

A: Using Solution of Linear Differential Equation

Q: If z = x2 – y2 and x t cos 2r and y = r sin t, then %3D a2z is ar2 (A) 2 cos (2r) + 2r? cos?(t) –…

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Q: For the IVP: (1-4) cos ty"-In(r-1)y+VT+5y=e, y(2) =1, y(2) = 1

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Q: 1. Find Duf at P: f(x,y) = sin(8x – 5y); P (5,8)); i 5 .5 и 3

A: The function is given by  fx, y = sin8x-5y The point is x, y = 5, 8 The unit vector is  u = 35i-45j…

Q: 16. If ZSTU = (13r-6)', mSU = (21x + 8)', and mUT = 143', find mST. %3D %3D %3D T.

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Q: If fex) cos cmx) dx = and %3D fox) E Coscn'x) then %3D COS n3 +! KIN

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Q: -41 sin tZ dz, c: 1Z-il=2 z4 ans: 3. coshz dz ,C: IZ1=1 27T ans :

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Q: S sin³x /cosxdx =? O a. cosT cos³z + C 3 Ob. cosr +cosz ) Vcosa + C Oc. 27/2, ) +C Od. (cos*z -…

A: Given: ∫sin3xcosxdx To determine: The value of given integral.

Q: 10. If e is the acute angle between the surfaces xyz = 3x + and 3x - y + 2z = 1 at the point (1 -2…

A: We have to solve given problem:

Q: 16. So the maximum occurs at an angle of 0, but only if the angle is small enough. Explain why that…

A: Given: v=2μgscosθ+μsinθ Here μ is the coefficient of friction, g is the acceleration due to gravity…

Q: The general solution of y"+ 16y3cost is: Select one: а. y = C, cos(4t) + C, sin(4t) + tcost 15 b. y…

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Q: The general solution of y" + 16y = cost is: Select one: а. v = C,cos(4t) + C,sin(4t) + 1 -cost 15 b.…

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