15) Find SR 16) Find VW E R %23 -2x – 6 M %3 W N %23 2x – 14 x + 15 x+ 2 x+ 21 F V.

Q: Determine the particular solution. (xy)dy – (3x² + y²)dx = 0; Y(1) = 1 O 3ln(x) + 12 = 1²² 2x² O…

A: Let's solve differential equation.

Q: If f(x, y) = xe2y + 6xy, then is dydx given by: e2y + 6 등 2e2y + 6 2 O None of these O 2xe2y + 6…

A:

Q: Consider the equation E : y² = x° + 8. Compute 2P and 4P for P = (1,3).

A: Given clear explanation below

Q: 4. у" — 2у'+у %3D хе* — е" x’e* Ans. y= c,e* + c2xe* + 6. x²e* 2

A: Solution

Q: Given F(r, s, t) = r(3s4 – 6t°), compute: Frst

A: This is a partial differential problem

Q: S(x)dt, iff(x)= Vx-k+1;k-13x< i, k=1, 2.n.

A: By substitution, we calculate the following Integral.

Q: Q2. If the solution of the below first order D.E is y = C ef(x,y) (x³ + xy²)y' = y3 Find the f(x,y).

A: x3+xy2y' = y3dydx=y3x3+xy2 ........................equation(1)Let put y = vx in equation(1) and…

Q: If X has p.d.f. f(x) = .0sxs3 1o, 0.w. The probability that the quadratic equation 4t2 + 4tX + X +2…

A: From the given information, The quadratic equation is, 4t2+4tX+X+2=0. Here,  a=4b=4Xc=X+2 Condition…

Q: In a football match, X is a RV that represents the interarrival time between goals scored by team A…

A: Given thatX - interarrival time between goals scored by team AY - interarrival time between goals…

Q: Example: If w = f(x,y), find d²w dr² x = et, and y = 2t - 1

A: Here, w=f(x,y), x=et, y=2t-1

Q: 2. Find the correct value of c such that P (Z < c) = 0.4. %3D C =

A: According to the provided information, P(Z&lt;c) = 0.4

Q: 1. If y = In(V x² +1 ) , then y' = 2x (b): 2x (a) x² +1 3(x2 +1) () 3(x2 +1)-2/3 (d) 3(x2 +1)

A: y=lnx2+13⇒y=lnx2+113⇒y=13·lnx2+1   ∵lnxy=ylnx

Q: 3. The value of k in the variation models y = kx and y = is called the of

A: The value of k in the variation models y=kx and y=k/x  is called

Q: 4. Given [1, 0<ykx<1, fx (x, y)=D 0. otherwise. Are X and Y independent b. Find E(X |Y) a.

A:

Q: By eliminating the arbitrary constants of y = Gx + C2x² through isolation, then which of the…

A:

Q: let y, and y2 be two solution for the D.E.: y" + (p'(x) x + p(x))y' + q(x)y = 0,x > 0. If W[y1,…

A: We use Abel's formula for wronskian

Q: #32 Find y' if Yu X-T + X.J9+ =XY

A:

Q: Y XY Student Weight (kg) 72 Height (cm) 1 170 2 172 70 3 158 60 165 73 4 180 85 6 195 98 7 183 78 8.…

A: We need to calculate the correlation coefficient for the given data, student X Y XY X^2 Y^2 1…

Q: الرابع: جد ناتج احد التكاملين التالي ين 1- Smte) xy e*y° dxdy 2- r? N4-y² ry8-x²-y" zdzdxdy x²+y2 2-…

A: 1 ∫01∫0ln(2)xyexy2dxdy first we will solve ∫0ln(2)xyexy2dx ∫0ln(2)xyexy2dx=y∫0ln(2)xexy2dxSubstitute…

Q: by first – shifting find L(e2t t3)= %3D 6. (s-2)4 .a O 1 (s- 3)4 .b O (s -2)3 3 (s - 2) 4

A:

Q: dw и and if w = x³ + In (²) dv E) + y, x = u² –" + 5 and Find - ди y = 3v + 5u and point…

A:

Q: If A = 2yzi -x²yj + xz ² k B = x ²₂ + y²j - xy k 2 D=ax'yzs D = 2х Find : (A.T)Ø, АПФ, (в.V) A (AxV)…

A:

Q: ) The general solution of (G) is: V2 a. u(x, t) etwr w2 |dw. 27 +*[1+ w°e¬w*«j]dw. - w²/2n b. u(x,…

A: The answer for part (5) is C.

Q: 5. Differentiate the following a) y = e*(x³ + 4) %3D b) y= x³e* 3 у %3D et c) у%3 x2

A:

Q: Obtain (i) P (X 1)

A:

Q: 4. a) P (Pink) = %3D b) P (Red) = %3D Green Pink c) P (Green or White) = d) P (Yellow) = %3D White…

A: From the provided information, there are 5 colors, which are pink, blue, red, white, and Green.

Q: 1. If (x and jy) = 3 + j8, find x and y.

A: Note:  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: The chain rule of antiderivative is stated as: ff (g' (x)) g(x) dx = F (g(x)) + C True O False

A:

Q: 3 4 If f(x, y) = x3 + 5x?y + y3 and u = calculate Du?f(3, 1). 5' 5

A:

Q: Consider the following problem; max(x? + 2y) s. to 5-x2-y 20 and y20

A: Given: The given "kuhn-Tucker" condition and  given equation is  maximum (x2+2y)  subject to…

Q: Consider the following IVP: y' = e; y(0) = 2

A:

Q: O': Find the general yy' – 2y² = e²

A: A first order Bernoulli ordinary differential equation is of the form dydx+pxy=qxyn Where p(x) and…

Q: 1. If r lf(r)]+3[f (m) 32 and f(3) = 2, md f(3)

A:

Q: Find the value of x and KL if K is between J and L. JK = 2x, KL=x+2, and JL = 5x - 10.

A:

Q: Q4 If z = x In(xy) a3 z a4z Find and əy²əx əx²əy²

A:

Q: Consider z=e (*3+y2) Evaluate dx2 O (6r2+ 3x)e (*3+y2) (9x4+6x)e (x³+y²) (6x4+ 9x) e (x³+y²)

A: Topic = Derivative

Q: Find the value of x using gaussian elimination or gauss jordan 4x + 2y + z = 18 4x - 2y2z = 28 2x -…

A:

Q: Find (∂z)/(∂s) and (∂z)/(∂t), given: (a) z = x2 - 2y2 ; x = 3s + 2t, y = 3s - 2t

A: It is given that,            z = x2-2y2  ;  x = 3s+2t  ;   y = 3s-2t We have to find  ∂z∂s  and…

Q: the following ordinary different is nonlinear? = of them (4) – 2y = 2x – 3y u(4) – x³ y" – 2y' = 2x…

A: We have to choose the correct option according to the given information

Q: Determine c1 and c2 so that y(x) = c1 e^2x + c2 e^x + 2sin x will satisfy the conditions y(0) = 0…

A: NOTE: Refresh your page if you can't see any equations. . the given solution is…

Q: Evaluate /, a Te dydx y2 2 JJ4X-x² 32 dydx (x²+y²)' V4x-x? O 4 In(v2 – 1) – 4+7y/2 3 4 In(v2 + 1) –…

A:

Q: Evaluate G(x,y)dy , if Gx.y)=2xy ,x 5cost ,y 5sint ,0stsm/3.

A:

Q: 4) Aşağıdaki fonksiyonlardan hangileri a2 əx² 1 a2 v² ət²! dx2 dalga denklemini sağlar? Neden? a) f…

A: a) Given that f=5x-5vt3 Now, differentiating f with respect to x, we get  ∂f∂x=35x-5vt25=155x-5vt2…

Q: Let X = n(µ,4) and Var(2x) = E(4–7x) find %3D H.

A: Given: a random variable X follows normal distribution. Mathematically, X~N(μ,4) The expected value…

Q: 1) The mZRWV= 4x + 2. Find the value of x. * R V.

A: in the given rhombus RSTV m∠RWV=4x+2to find the value of x

Q: Minimize c=s+ 2t subject to 4s +t2 270 2s +t2 190 s+ 3t 2 330 s20, t2 0. C = (s, t) =

A: The given minimize problem is C=s+2t subject to constraints, 4s+t≥2702s+t≥190s+3t≥330s≥0, t≥0   Then…

Q: Given: f (x, y, z) = 2x'yz² + 5x°y*z® - x³y? ,5_3 Required: fzyx , fxzz

A:

Q: 9 Find if y = 7x by using the Chain Rule with y as a composite of the following. dx a. y = 7u° and…

A:

Q: Q2. If the solution of the below first order D.E is y = C ef(xy) (x³ + xy2)y' y3 Find the f(x,y).

A: