If X=t X ,then W(x,(t), x(t)) = 1 0 Select one: a. Cet

Q: dz/dy for z = e^xy

A:

Q: If z = e'x + y In(x), find z, and z, Zx Zy II

A:

Q: In the figure, ZY = ZX and YZ is produced to T. Prove that YT> XT. Y

A:

Q: Using the Convolution Theorem, what is L[h(t)]?

A: In this question, we use the convolution theorem to find the Laplace transform of the given function…

Q: 2 Exercise.8 Find: P4 (x), Pg(x), L P¾(x) P3(x) dx , LIP,(x)|² dx

A:

Q: ds if s = In [t*(t² – 1)]| dt 20. Find

A:

Q: If the joint p.m.f. of X and Y is given byh(x , y) = k(x+ y)2, x = -1, 0, 1 and y = 0, 2, 4.where k…

A:

Q: 13. the , xydA, where ySxsy?}

A: First I have set the limiting double integral from given information and then solved it .Final…

Q: Given f(x, y) = sin(x + y) where z s3t0, y = 3s – 6t. Find T = f.(z(s, t), y(s, t)) = f:(x(s, t),…

A:

Q: Given z = 18 In(t) and y = 324 t2 then find dy dz dy da?

A:

Q: What is P,(y) if the given DE is xydx – (3y – x²)dy = 0? %3D Select the correct response:

A:

Q: (d) VX € P(N), XCR. (e) In ɛ N, VX e P(N), |X| < n. (f) Vn e Z, 3X c N, |X| = n. (g) 3me Z, Vn € Z,…

A:

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

A: We have to find out derivative

Q: dw If w = f(x,y,z) = In(x² +y² z?),x = cost y= sin t ,z = 4VE , then is : dt + ww.

A: Given  w = f(x,y,z) = ln(x2 + y2 + z2) x = cos(t) , y = sin(t) and z = 4t Substituting the values of…

Q: e{f; 3et dt } = A(s) A(s) değerini s'e bağlı bulunuz. s =1 için A değerini hesaplayınız.

A:

Q: Evaluate the bound of the error if the Trapezoidal rule applied to S (x)dx . Given that 5 k is…

A: Apply formula of trapezoidal error

Q: Obtain ∫C  ez / (z - πi) dz with C defined as z(t) = 4eit and 0 ≤ t ≤ 2π

A:

Q: 3) Find dz dy for z = e

A: Solution: As per given date   z=exy  For finding dz/dy , we assume that 'x' is a constant.

Q: +! dy dx x dx A- If Z = d'y x dx x dx? Prove that Z.Z = xp -1% NI X

A: A Given Z=d2ydx2+1xdydx. We need to evaluate Z.Z. Consider Z.Z.…

Q: 3. Given f(x,y) = xy + y2 +1° ey Verify that fry = fyx %3D

A:

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: For z + y, lim ()(1,1) Va - A. 0 В. 2 C.1 D. Does not exist.

A: This is simple question can be solve by rationalising the given function Solution is given below

Q: Let H(x) be an antiderivative of 1sm z if H(5) = 7, then H(2) =

A:

Q: Show for R(t) = e?-t and S(x) = 2x + 1, that (Ro S)(x) = e1²+2#.

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: 3. If z = f (x, y), where x = e“ – e® and y = e® – e", show that UTM UTM az az UTM X : az - ду dx…

A:

Q: Given the LCCDE dy(t) + 2y(t) = x(t), determine y(t) when x(t) = u(t) dt 0/(1+e-2¹)u(t)…

A:

Q: ronskian of the DE : xp(x)y' + 3y = 0 = er² et? et?

A:

Q: X+ xy B. Evaluafe the tripe in tagral S5* xy dydzdx,

A: As we know that: The Power Rule: ∫xndx=xn+1n+1+C ; n≠-1 (B). From the given integration:…

Q: Given z = 15 In(t) and y =225 t then find dy da dy da?

A:

Q: S 1.Prove that L (coswt) = %3D s2+w2

A:

Q: 3ey , find Given z = dz dz au

A:

Q: 20 Given that the (bx) +(ay) =(ab), where a and b are constants. Show that-

A:

Q: Evaluate SSS 12z dV E where E is enclosed by z = x? + y? and z = 1

A:

Q: If w= 2e*_lnx find dw/dt , x=In(t^2 +1), y=tan t, z=e^t

A: If w= 2ex lnx Find dw/dt, x=ln(t2+1) dw / dt = [ ∂w/∂x ]  [ dx/dt] + [ ∂w/∂y ]  [ dy/dt]…

Q: : 0s 0s n, Os zs 1, 6Vzs rs 6}. Let E= Compute y?e(x2+y?)³ dv•

A: Given that, Let E=r,θ,z : 0≤θ≤π, 0≤z≤1, 6z≤r≤6 compute ∬∫Ey2ex2+y22dV

Q: Suppos analyts s? show work. you

A: Given that f is analytic. And z≤1 And f(0)=0 And f(5)≤5 The formula for derivative is,…

Q: 2. Compute ¡ E x dV , where E “ tpx, y, zq | x ď 0, z ď 0, x2 ` y 2 ` z 2 ď 9u

A: The given integral,

Q: If W = xyz with x = 2t*, y = 3t-, and z = 4t¬³, what is dw dt 24 O In(t)

A:

Q: 2. Derive a formula to approximate S* s* f(x;y)dxdy yo xo Using Simpson's rule with x2 – xo = 2h ,…

A:

Q: In the figure, ZY = ZX and YZ is produced to T. Prove that YT>XT. Y T

A: Given a diagram: ZY=ZX To  prove YT&gt;XT

Q: Find the general solution to dw ol Sa'(t) = x(t) – y(t) + 3e'; ly'(t) = y(t) – x(t) + 2e'; (8) (8)…

A:

Q: ürkçe: f(x, y) = 4 + x° + y° – 9xy fonksiyonunun yerel ninimum değerini bulunuz.

A: Please refer to the image below

Q: Evaluate xy dS. S: z = 3 – x – y, first octant

A: Given query is to find the double integral in first octane.

Q: 1 +y = zy" dy dr

A:

Q: An integrating factor (of the form u(x, y) = x" + y") for the DE. ydx + 5xdy = 0 is O is + y * + y?…

A: Solution: The objective is to find the integrating factor of the given differential equation