|| e3x+4y d A, R=[0, 1] × [1, 2] R %3D

Q: 24. (х + а)у' %3D bx — пу; а, b, п are constants with n # 0, n # —1. ANS. n(n + 1)у — b(пх — а) +…

A: Given:- (x+a) y'=bx-ny;  a, b, n are constants  To find:-  General solution of given differential…

Q: d a value of r> 0 such that h(z) = z² +22³ + z + 1 has all its zeroes in D,(0).

A:

Q: "-y'-12y=x * O y= C1(e^4t) + C2(e^3t) + (t)/12 + 1/144 O y= C1(e^4x) + C2(e^-3x) + (-x)/12 + 1/144…

A:

Q: 3+2s 17. F(s) %3D (s+4)(s²–3)

A:

Q: (c) Show that V(3) = o²(X'V-¹X)-¹.

A: 3. c From the given information, y=Xβ+ε Eε=0, Vε=σ2V From the part b, β^=X'V-1X-1X'V-1y

Q: Calculate ∂ω/∂x for ω=e^−2x x(multiplied by) e^(z^2y)

A:

Q: If u = f(x), then ſ dx x++2x²+1 k + C for some constant k . Compute kf(1). x2+1

A: We have to find kf(1) Given that: u=f(x),∫xx4+2x2+1dx=kx2+1+C  for some constant k

Q: P. Im(f(z))dz O equal to the above None of these

A: no these are not equal because

Q: 100 e of f (s) = %3D s (s+2)2(s+3)

A:

Q: ー2 f Cx.y)=In Cx Zp

A: Please refer to the image below

Q: 3. Sy? e2y dy

A:

Q: Find the linearization of y = eV1x at x = 36. (Use symbolic notation and fractions where needed.)…

A: We have to find linearisation

Q: Consider x = 3x1 – 2x2, x, = 2x1 – 2x2, with x (0) = 3, x2 (0) = ;. b If x1 ge + e-, find the values…

A:

Q: Find the most general antiderivative. x2 xp O 25 - +C 2x - +C O - 2% + C 2 2

A: =>x^n dx = x^(n+1) / (n+1) + c

Q: Find all values of n such that y = xn satisfies x2y" - 12y = 0

A: To solve the equation x2y''-12y=0, we first need to find y''. y'' can be obtained by differentiating…

Q: Q2: Consider the IVP: y=1+2,1sıs2, y(1)=2.

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

Q: If z 6.57 (rounded to 2 decimal places) and y = 6.017 (rounded to %3D (a) the upper bound of x + y…

A: x= 6.57(rounded to two decimal places)  and y=6.017(rounded to 3 decimal places)

Q: (e) Yk+1 +Yk = 1/k(k+1),

A: Given, yk+1+yk=1kk+1Substitute:yk+1=y'yk=yEquation formed is:y'+y=1kk+1A first order separable ODE…

Q: 3- Suppose that s(x)dx 5. Find A- B- S V3 f(2)dz D-

A: Definite Integral of function f(x) in the interval of [1, 2] is 5. The function remains the same for…

Q: (d) Are X1 and X2 independent? Justify. (e) Compute E(X1) and V(X1).

A:

Q: L(cosh 4t) = %3D .a s²-16 .b O s2 – 8 .cO s²+16 S

A: option :- a

Q: r²[(x²-y²)²] 1²₂5²² du dt x+y

A:

Q: e. y= (x² + 4)/x in the interval 1<x<4. 8+ 4ln4 - % s.u ans.

A:

Q: SAS K Y %23

A: Given figure, we have to state the congruence required to prove the congruence of triangles using…

Q: Calculate ∂ω/∂z for ω=e-2xe (z^2y)

A:

Q: dy Find dif: y = (x - a)√2ax x2 +aarcsin a none of these O a. Ob. a²2 √2ax x² - O C. 2√2ax x² O d. O…

A: Solution of given question is written in below steps.

Q: 2 (4)F(s)= %3D s² (s +4)

A: Note:- We’ll answer the 4th question since we answer only one question at a time. Please submit a…

Q: n2 for all n E N. 4n Let r, :=

A:

Q: (D² – 3D – 4)y = 0 is ° y = C,e** + C,e* " y = C,e** + C,e* 4х 4x -X -4x ° y = C,e** + C,e* y = C,e*…

A:

Q: y³dy 2. S. (a²-y²)7

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: Also p; 2 0 for all j = {1, ., k} and E-1P; = 1. What is the value of E(X) and V(X)?

A:

Q: 6) Find most general antiderivative of the fxn. a) f(6) = x5+2x²-1 X' B) 4(1) - 2 +30*

A:

Q: L %3D e2t e-3s-6 (s+2)? O e6-3s ( 1 3 + S+2 (s+2)2 O e-3s (s+2)2 1 3 s+2 O e2-3* ( +) 1 (s+2)2 s+2 O…

A:

Q: During a recession, Congress decides to stimulate the economy by providing funds to hire unemployed…

A:

Q: Q16 3 a) / 3²+ 2dt dt c) /,₁ (3-5)²

A:

Q: If y = Eo(k + 1)z*+3 then y' = .

A:

Q: Í (x)dx, iff(x) = Vx -k +1;k-15x <k, k = 1, 2,.n.

A:

Q: Q-12)-for the model below Max z=10X1+5X2 st 4X1+2X2540 3X1+3X25 30 X12 0, X2 20 MAX Z=- O 75 O 100…

A: Linear programming. Graphical method

Q: (a) In e7 (b) eln 2 %3D (c) eln v3 %3D Preview (d) In e5

A:

Q: f(M1) = 0.6 and f(M2) = 0.4. We found %3D out that 25% of the M1M1 individuals survive, 50% of the…

A: *answer:

Q: (c) 부3D . Yk+1 k+1 Yk k

A:

Q: f Lan 2X e *3 of +sec2X Pinel dy o

A:

Q: 3. (36D² – 60D + 25)y = 0 5x a.y = Ge+ Ce 5x b.y = Ce+C,xe 5x c.y = C,xe + Cxe 5x d. none of the…

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Q2) let A = [ 1 find e4t using Gauss-Jordan method.

A: First we will find the eigenvalues and corresponding even vectors of the matrix by Gauss-jordan…

Q: 3) Find the deri vative of cscC (x) (xf3)' X4

A:

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: 2s+2 ds = In|s| – In\s + 2| + C %3D s3 +3s2+2s

A: Here, we are solving only 1st question and for the remaining question post the question again.…