Which of the following is equivalent to - (Vx (P(x)VQ (x?),

Q: z = If X – y show that: =D0

A: Given: z=xyx-y And x2∂2z∂x2-y2∂2z∂y2=0   As we know that; The Quotient rule; fg'=f'·g-g'·fg2 The…

Q: 10. dr S f(æ) dx = Choose...

A:

Q: sn'x プェ Sec'x-1 from [o, of 2.

A:

Q: Find h'(2) if h(x) = In(x + Vx? – 1).

A: The given function is hx=lnx+x2-1. Evaluate the derivative of the given function as follows.…

Q: sin, ifx T 2л

A:

Q: 2. (a) Let f(x, y) = x² sin(x + y), find 잃 and 잃.

A:

Q: a+, 3. f(1)=1** +a cosh /21 +bsinh /21 f(1) =2cos" (21) +e² 4.

A: The Laplace transform of the function f(t) is defined as Lf(t)=∫0∞e-stf(t)dt, since the dimension of…

Q: For which values of a does x + a = 0 have a solu­tion in Z5?

A:

Q: tes, sno W inut E [XY] = E[X] E[Y] E [g1(X) g2(X)] = E [g1 (X)] E [g2 (X)1 and

A:

Q: 2 X- - SS. T dydx

A: ∫1-1∫0x2-1dy dxWe need to evaluate the above double integral.

Q: f(1) = 3e " cosh (In 2r) -21

A:

Q: 2x2+3x−20 has root(s) at x=

A:

Q: dy Find Z for y = (8+ x³ In x)ª + e3x

A: We have to find out derivative

Q: 2) Show that (1 – x²)P",(x)P'm(x) dx: 21(l + 1) Sim• 21 + 1

A: Given:-  ∫-11(1-x2) p'l(x)p'm(x)dx=2l(l+1)2l+1δlm

Q: 3. If f(x, y, z)= In xyz te(3.0²), find f,,f, and f-· 4

A:

Q: 1. Determine the following: 8. S(V)° -+ - 9 7 dx (4x-1)3. 2-x 2x5-4Vx+3 h. S

A:

Q: 1, -1 <x<O 3. f(x) = %3D 0Sx<1

A: Given function is fx=1     -1&lt;x&lt;0x       0&lt;x&lt;1

Q: O Find the Salution of the fllowinng Inlayrudien (x-2x++x -5) dk use

A:

Q: 3. From Eq. (1), deduce that U2n-1 2. U2n 2. %D %3D n 2

A: 3

Q: The evaluation of S V1 + tan2x dx is C In(V2) +1 In(vZ+1) C In(vZ-1) O-In(vZ+1)

A:

Q: In ΔFGH,  FH is extended through point H to point I, m∠FGH=(x−2)∘,  m∠GHI=(4x−5)∘, m∠HFG=(x+19)∘.…

A: Given that     FGH is triangle. FH is extended through point H to point I .

Q: Q4/is that, the Sulutton to the differentiel equation dy-tX+4. is it's

A:

Q: 2. and XR %3D C. Two tails with n = 34 , x =

A: Solution: From the given information, level of significance is 0.01 and n=34.

Q: Use Gauss's forward formula to find the value of y when x = 3-75, given the following table 2.5 3.0…

A:

Q: s at x =-1 and x = 2

A:

Q: 1 Q4) If vZA =, such that AA" = I. Find x?

A: Transpose of matrix

Q: Suppose that a) [15x²y; 0<x<y<1 f(x, y) = { 0; otherwise. Compute E(Xy), Var(X) and Var(Y). b)…

A:

Q: Work out the following | (2x + 1)e² -z da =

A: we use substitution method to solve this integration

Q: 2) Show that La- (1 – x²)P',(x)P'm(x) dx : 21(1 + 1) Sim. 21 +1

A:

Q: Fird XCK) is X(2) = 2くz-)(マ-3) Ans; SC) ャu(k)+と)uck)

A:

Q: az Find for z = x²y°e®Y dx

A: The given function z is zx,y=x2y2exy We have to find the partial derivative of z with respect to x.

Q: If z =e* + In(xy) Evaluate- ,and ,at the point (1, 2). Hence, calculate the change in z when x…

A:

Q: 7- f (x)= 3.x², 0<xr<1 olarak verilsin. P(/2/ (2, = ? O a. 1/8 O b. 1/4 Oc 3/4 O d. 7/9 O e. 1/9

A: Solution: 7. From the given information, the probability density function of X is

Q: Integrate the following: ,S (x4 – 5æ³ + 6) dæ - 1. So(1- r)*dz su(1– 2.

A: These questions are related to indefinite integration, we will use use integration formulas and…

Q: of fxyl = 3X-y+6 Subjected QI Find to x+y=4 extrume v alues

A:

Q: and X4 %3D If the engine type is traditional, then x3 = When you plug in these two values in the…

A: When the qualitative predictor has m levels then we create (m-1) dummy variables. Here the…

Q: two variables are independent, each with the pmf given in the accompanying table (so X,

A:

Q: az given that yz*+x2z3 = eyz ax

A: H

Q: H.W. a PDE from the followi'ng- @u=f() Form メツ 0u=fcx?ー)

A:

Q: 2. dy axta¹ x-In√x²t)

A:

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: *find te general Souliton hor the XZP +YZq =XM

A:

Q: Find KCKT) if XC2) is given by: 3. XCZ) = (Z+1)(Z-1)

A:

Q: 1. In each of the ff., find frz; fy, fry, fyx- 2x2 2. f(x,y) = tan

A:

Q: 4. Now, determine the value of c in (0,1) such that f'(c) = 2 fx) =4x

A:

Q: B) f(x) = x+3 (-6, 6<x<1 Is f cont. at x-6?

A:

Q: Which of the following is Inx – 6x + 18| + arctan(- (x – 3)) +C equal to? 2 – 6x + 18 x - 3 V 2 In…

A:

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

A:

Q: Find f(4) if Jo f(t) dt = x cos Tx.

A: Here given as ∫0xftdt=x cos πx Difeerentiate with respect to x ddx∫0xftdt=ddxx cos πxfx=xddxcos…

Q: Solve the following linear independent and Wronskian. 2. Are the functions y, = e* and y2 = x…

A: Here we have to determine whether the given functions are linearly independent.  We have,  y1=ex…

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.