火2sin C&) for ダチo fcx) = { for x =0 show that Con tinods or not

Q: If sinr = In y, show that dyOUTM dr OUTMO (1--- (1– 2) dy = y. dr

A:

Q: 2|x~ Bin (wa) X~ TI (Q) = -IN 0 QE [011] you should Find posteria 8201 other wise

A:

Q: ex: W= Show that wxy=wyX

A: On solving this we will get:-

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

A:

Q: 3) x 5sin 1, y = 4cos t

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: appropriate method, beginning with th Bxy' = 6y + 3x¹cos² (²), y

A: Given: 3xy'=6y+3x4cos2(yx),y(2)=0

Q: The different loul equaticn 5. %3D can be wntten in He torw n He tor m MX, y)dn t N(x,4) dy =0 Find…

A:

Q: Led xe R be such thad Xn→x, show that %3D

A:

Q: . Eualuati losh (12)d2 uhere. C di the Ciscube. lel=2

A:

Q: i) um asinx-sin2z ,u fünute, fünd the vaue the uimit. tana ofa and

A: Now, the limit is finite given so, the above must be 00form So,  a cos0-2cos0=0⇒a-2=0⇒a=2

Q: 1 Using Convolution theorem, find (i) L (s+a)(s+b),

A:

Q: F ind the oua gohenegion Aounded ky メ=y,メ=13-が 2 x=18-y (0,9) てっ (,) Une borizontal ilement to firid…

A: The area of the region can be calculated using the formula , where is the curve of the first…

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: ome If y tanx, prove that y"-2(y +1)(3y+1). ir If x= sect and an

A:

Q: The special : to the equ gA (D'+1)y(x) = tan(x) %3D

A: Introduction: A differential equation is an equation that contains the derivative of an unknown…

Q: 2- find Ow/ar if w = (x + y + z)?, z = sin(r + s) y = cos(r + s), at the point (r, s)=(1, -1) X = r…

A:

Q: (Superman Versus m ers arrive according uho

A: System 1 Customer arrival rate in a Poisson Process λ Service time  3μ System Capacity…

Q: wwwwwa W the h parbda in vertes fr (0, DIT 14. (0.4) 13. K2.0) (4-4) 17.

A:

Q: (o, 1,) 1. find th directional denivatve in the dire chons of at 2 Gve inter pretahon of amp uted…

A:

Q: (6) If u, =*-!P«(x)Pn -1(x) dx, show that nu, + (n – 1)n-1 = 2, %3D and hence evaluate u„.

A: Given un=∫-11x-1PnxPn-1xdx

Q: By the samc way, prove that g 7 sinw.k MUIS Z N-27 cesW. +1

A:

Q: tain we and tangent together. 6. у %3D (х — 1)? + 1, (1, 1) 1

A:

Q: Fin d the sc cond soluhen prr tk edo te edo If Konow that y, =x IS a solotień

A: We will reduce the order of the given given second order homogeneous differential equation using the…

Q: 3. Show that S, has the presentation (x, ylx* = y? (xy) %3D %3D

A: Given: Group S4 We need to show that S4 has representationx,y|x4=y2=xy3=1

Q: If A=2(1-cos 0)â, – pyâ, (1– cos ¢)â, – ppâ, +zcos² þ⸠, what is 4 8. V•A ?

A:

Q: (3) Determine whether The following tundions are unitermly continious. Justity your answer Ca) f:…

A:

Q: 3 Evaluate the gwen tri ple in legral. xsiny dy dz dx

A: Order of triple integral dydzdx

Q: az az and du #6. Use the Chain Rule to determine given that av z = x sin (y? – x) x = 3u – v?, y =…

A: Solution:-

Q: 3. Suppose that f(1) = 2, f(4) 7, f'(1) 5, f'(4) = 3, and f" is continu- %3D | af" (x) da. ous. Find…

A: The given data is: f1=2f4=7f'1=5f'4=3  f'' is continuous  To find the value of ∫14xf''xdx.

Q: Find the indico 6. 2. 3+ 2 1..2+4+8+ 27 t. 4. 3. 12, (4)"- n= %3D1 2.

A:

Q: Nhat is Duf at P(1, 1) if f(x, y) = sin(x - y) and u=i-İ? 3 O 5 O 3 4 O 10 9

A:

Q: 7. If p(z) cos z, find y(0), p*), p(x), p(-z), p(r – y) %3D

A: Topic - value of trigonometric Function

Q: 7) reflection across y =X (х,у)-(у.х)

A:

Q: 2. %3D be Centered in a batt co,ogo) andradies I 2. frove thet S-273R

A:

Q: Solue the differeulial equalion dy +9-é^ Cosre zo yo) =0. 2. by csing milne's methad with h = 0.1.

A:

Q: (a) If u(x, y) = cos-1*" + y* ) x² + y? = COS then prove that ди du + y = -2cotu

A: Given: ux,y=cos-1x4+y4x2+y2

Q: 21. xª sen z dz -z' cos z + 3z² sen z + 6z cos z 6 sen z + C %3D

A: see below the answer

Q: a²z If z = arctan ), find ( ay?

A: Given,           z=arctanyx= tan-1yxTo find           ∂2z∂x2+∂2z∂y2=?

Q: a?u, a?u (c) = 0;0< x5 5,0 sys 10 əx² ду? subiect to

A: Given,     ∂2u∂x2+∂2u∂x2=0;      0≤x≤5,   0≤y≤10    ...(1)subject to      u(0, y)=u(5, y)=0; 0≤y≤10…

Q: - [Mesin(2x) dx = esin(2x) + C_then the Mis equal to +C,t

A:

Q: Using Eirjenvelue melthed envalie methed +2y dy ?a-2y 3 of

A: Given that, dxdt=-52x+2y   and dydt=34x-2y write in matrix form, x'y'=-52234-2xy for eigen values,…

Q: .2π π 1 -εrocos? θ r dr sinθdθ φdφ x 32 πο X = ?

A:

Q: Evaluate 0 to 2 , x to 2  and  ∫∫2y^2sinxy dydx

A: The given integration can be written as:

Q: dy _ 2y 4. If tan(ry) + 5= ry then show that dr?

A: We have to do differentiate with respect to x.

Q: vsin ax (02+4)4= sin x is the fun ction with y %3D

A:

Q: a) b) Compute E(X|y), Var(X) and Var(Y). Hence, deduce the value of p= Corr(X,Y).

A:

Q: l? sc tue suell metuozd to fired tue voune of te Solid genented the by rerolning the plene rgim…

A: