Q/ If the joint p.d.fof X and Y as f(x,y) = { Scx²y ,x² y).

Q: If z = xe" and x = t2, y = Vt then the value of dz at t = 1 is equal to . dt Select one: True False

A: Solve the following

Q: 4. Evaluate: S. yx?dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t2 , (0 st< 1).

A:

Q: (2y – 3x)dx +xdy = 0 %3D

A: Find your answer below

Q: (c) Given tanh (x) + tanh (y) = 1, show that, dy 1- y? dx 1- x2

A:

Q: The joint PDF of X and Y is given as S2, 0< x< y<1 f(x,y) (0, otherwise

A:

Q: (c) t? dy + 2ty = cost , y(T) = 0, t > 0. %3D dt

A:

Q: Use the linear approximation to f(x,y) = x+6 at (4, 3) to estimate 10.1 y+2 4.9 10.1 V 4.9 help…

A:

Q: Given that y'= 3y - 100t and y(0) = 10, estimate y(1) using delta t= 0.01.

A:

Q: Calculate fls f(æ, y, z) dS For 2² + y² = 16, 0 < z S ls f(x, y, z) dS =

A: Introduction: The surface integral is used in mathematics to add a collection of values associated…

Q: Show that S f(x,y) dy dx = , f(x,y) dx'dy. %3D

A:

Q: Given dy dy dz² +2 + 5y = e dr and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the…

A:

Q: The volume V of a cylinder of height 4 cm and radius r is given by: = 4mr2 dV What is the…

A:

Q: The volume of a right circular cone of radius x and height y is given by V = volume of the cone is…

A:

Q: Question 9

A:

Q: The volume of a right circular cone of radius a and height y is given by V 1 - TXʻy. Suppose that t…

A: We have to find out derivative

Q: the constant 'c' such tha 5y)âz + (y – 3x)ây z)âz

A:

Q: = f (x, y) is differentiable and x=u cos v and y =u sin v. Show that z = Oz Oz 1 + ди + и

A: According to question given that z=f(x,y) is differentiable x=u cos(v), y=u sin(v)

Q: How would I evaluate ∭x2 dV, where E lies between the spheres ρ = 1 and ρ = 3 and above the cone Φ =…

A:

Q: 2. From the following table of values of x and y, obtain equation for dy/dx and d'y/dx? and its…

A:

Q: Use either integration by substitution or integration by parts as needed to evaluate S³= A B x²+1…

A:

Q: Suppose X and Y has a joint pdf given by f(x, y) = 6x, 0 < x < y < 1, and zero otherwise (a) Find…

A:

Q: sta lis ūcally independent RVs x&y have pdfs fe (x) = 3 (4-x2), - 2<x<2 %3D 32 ノ fy (4) = ニ 1, Find…

A:

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

A:

Q: The volume of a right circular cone of radius x and height y is given by V=1/3πx2y. Suppose that the…

A:

Q: dy Find for the functions x = a(cost + tsint) , dx y = a(sint – tcost)

A:

Q: Evaluate: S. yx²dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t?, (0 <t< 1).

A:

Q: 4. Evaluate: S. yx²dx + xzydy + xz²dz, where C:x = sint, y = cost, z = t?, (0 <t< 1).

A: A line integral is the integral of a function along a curve. The function can be scalar-valued or…

Q: Given that x cos y + y cos x = 1, find dy/dx.

A: Given that, xcosy+ycosx=1. The objective is to find the implicit differentiation of xcosy+ycosx=1…

Q: The volume V of a right circular cylinder of radius r and height h is V = ar?h. (a) How is 4 related…

A:

Q: 1 cone of radius x and height y is given by V = =Tx2 y. Suppose that the 3 dy Find when x = 2 and y…

A:

Q: The radius r and height h of a right circular cone arerelated to the cone’s volume V by the equation…

A: Given equation, V=13πr2h                          ...(1)

Q: Use RK2 (Heun's method) with ħ = 0.5 to estimate y(1) given o: 8 Vū, y(t = 0) = 8, y' (t = 0) = 2.…

A: The Heun's method formula is The given values are h=0.5, y(0)=8, y'(0)=2 That is x0=0,y0=8 and…

Q: If y =Aex +Be™ d'y -(m+n) dy. Show that + mny = 0 dx

A:

Q: Hn obfect Is moving along the X- axis with acceloration givon by at) =Q +42zt. TF V l0) =1 and…

A: Given query is to find the displacement function for the acceleration given.

Q: Calculate f f, cos(x+ y² }dx dy. Where Dis the region to 2 the right of the y axis and inside the…

A:

Q: dy Find for the following function dv y = In cosh v – tanh? v

A: We have to find dy/dv by using derivative of hyperbolic functions.

Q: (2)S, dx where c = constant let c-x = e-x Inc %3D

A:

Q: b) f(x): 1 + sec2

A:

Q: 25. Consider the equationdy/ dx = (y − 4 x)/( x − y) .a.Show that equationcan be rewritten as (30)…

A:

Q: · Use Euler's Method to solve the following problem over the interval from x = 0 to 1.0 using a step…

A: Given, f'x,y=dydx=2+3xyy0=1 Euler's method is given by, yn=yn-1+hfxn-1,yn-1

Q: The volume of a right circular cone of radius a and height y is given by V = dy volume of the cone…

A: Explained below

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

A: The volume of a right circular cylinder is V=πr2h. Consider that neither r not h is constant. Assume…

Q: Given the eguation y In (x +y + 1) = 8, evaluate dy Assume that the equation implicitly defines y as…

A: Differentiate with respect to x

Q: On Integration by Parts [z√z+1dz fe* cost de [r³√³+1 da 1) 2) 3)

A:

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

A:

Q: Find of/ dx and of /dy. f(x,y)= e(x+y+ 4) of/ dx = %3D of / dy %3D

A:

Q: The volume V of a right circular cylinder of radius r and height h is V = Tr²h. (a) How is dY…

A: Given , V=πr2h V is volume ,r is radius and h is height of  a cylinder

Q: The volume V of a right circular cylinder of radius r and height h is V=πr2h (a) How is dV/dt…

A:

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.