N Let y (0) X ~ Bin 0.3 {0.4

Q: {-) Evaluate the domain of f(x)=Ven(Sx-XE)

A: The given function is f(x)=ln5x-x24

Q: 3. Evaluate 1 2 SSx*y°dxdy 0 1

A:

Q: Estimate f(1.08, 5.94) assuming that S(1,6) = 4, S«(1,6) = 0.5, S,(1,6) = –0.4 (Use decimal…

A:

Q: f X~N(196,20), find x such that Pr(X < x) = 0.563.

A: Given data  X~N(196,220) Normal distribution with mean=196 and standard deviation =20 P(x&lt;X) =…

Q: Determine. '{F}. 4s2 + 3 sF(s) – SF(s) – 2F(s) = - s + 4s

A: Rewrite the given equation.

Q: 16. 3x So ² (z+y²) dydz 2x pasky

A:

Q: d²y 54. Let y = 4r+2r+l_find CL)

A: To find the double derivative of below expression.

Q: Let X - N(u,0) so that P(X < 89) = 0.9 and P(X < 94) = 0.95. Find u and o? %3D

A: Given : Normal distribution with mean μ and standard deviation σ   We have been provided with 90th…

Q: If X~t(10) then the p(x < 2.28)

A:

Q: V. b) Let X₁. X₂X128G(2,4), by CLT find P(7 < X < 9) use (N(2)-0.977).

A: Given that X1,X2, .....X128 ~G(2,4) then using CLT we have to find P(7&lt;x̄ &lt;9)

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

A:

Q: .(1) t is straightforward to show that y = k-1 is a solution to the homog quation

A: Given,                yk+2 -2k+1kyk+1+ kk-1yk=0         (3.151)and       yk+2 -2k+1kyk+1+…

Q: Let 7 (t) = Find 7 (t) デ'(t) =D<

A: r'(t) =d(r(t))/dt

Q: Compute gxxyz for g(x, y, z) = x²y³ z³. (Use symbolic notation and fractions where needed.) gxxyz =

A:

Q: 9. Find a calculus-based approximation for V10 – (.92)² –- 2(2.03)².

A:

Q: P(x) = 1. Let x! and let H=10, Find P(9)

A: To find: P(9)

Q: Q2. P(A) = 0.42, P(B|A) = 0.66 and P(B|A’) = 0.25. Find the following – P(A’), P(B’|A), P(B’|A’),…

A: We have given information, P(A)=0.42 PB|A=0.66 P(B|A')=0.25

Q: 6. (x – 1

A:

Q: .2 -dædy In (x) ey

A:

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: 9+xm 6. 3x+2y < 0 yD mx:

A:

Q: Given that X~N (2,25) , find pr (0 < ? < 10)

A:

Q: suppose that X~N (3, oʻ), AP (3<X<6) =0.4, then P(X20)= A.0.4 B.0.9 C.0.6 D.0.1

A: We have to find given probability.

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: what values of k will

A: Given,              f(x, y)=(x+iy)2+x-ikyx+iy

Q: Which function grows faster as O x → +∞ ? 3x¹ + 2x³ + 3x² +1 x³ ln(x² + 1)

A:

Q: X- (X)NI X 13g Tol tuods JadW (q )

A: Topic:- derivatives

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,

Q: Si dx 2 x² - 4x+8

A:

Q: Find 4 of 3xy –- x³ = 5 at (1, 2)

A: Given; 3xy-x3=5 at (1,2)

Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

A: