Find the exact values of x and y. (x, y) = X

Q: Find dz/ax andðz/@yif I z = x* sin(xy³).

A: If a function f(x, y) is to be partially differentiated with respect to x, then we treat the…

Q: then ö(x, y) he value of fC

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Q: Find ƒx and ƒy as functions if ƒ(x, y) = 2y/y + cos x.

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Q: Find the corresponding equation by eliminating the parameter. x = t3 ,  y = 3 lnt  Group of answer…

A: The parametric equation is given by x = t3 y = 3lnt To evaluate: The equation after eliminating the…

Q: cos(xy) ea – y² * (b) f(x, y) = -

A: To determine the set of points where the function is continuous for  (b) f(x,y)=cos(xy)ex-y2

Q: z2 = - sin (z+y+2) ( '+ ) xy 3z + sin (x+y+z). dz -xz - sin (x+y+2) he he

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Q: y z = x + show that : 0.

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Q: f (x, y) = sin(x + y?) near the point (7,0).

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Q: Find x and y given that (x+yi)/2+i = (1-i)/2+3i

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Q: 1 (b) f(x, y) = ye" – - %3D fix- (c) f(x, y) = y sin(x)

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Q: y = sin x, y = cos.x , x= 0 , x=- is revolved about the x-axis T/2

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Q: y= cos (1-t) and x=V2t - t2

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Q: Show that if y = V1 + sin x then sin x

A: We can solve it by doing derivative and make the proof.

Q: Find ƒxx ( x, y)  and ƒxy( x, y).

A: Given, fx,y=3x+yx-1. The objective is to find fxxx,y and fxyx,y.   fxxx,y is found as follows: First…

Q: Verify that ƒxy = ƒyx, for ƒ(x, y) = xey.

A: Given function is fx,y=xey We have to verify fxy=fyx Solution: fxy means that first we find partial…

Q: Find ∂z / ∂v using the chain rule if z = sin(x/y), x = ln(u), and y = v. Put the answer in terms of…

A: Firstly, we find partial derivative of z with respect to x and y, partial derivative of x with…

Q: Find y' cos(xy) - y^4 = 5 - 3x

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Q: Find all solutions of the linear ODE: y'''+y=t

A: I am attaching image so that you understand each and every step.

Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = cos2 (3x - y2)

A: Consider the provided provided function, fx,y=cos23x-y2 Find the partial derivatives of the function…

Q: Find y' and y". y = V sin(x) cos X 2 sin x

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Q: • y = sec¯1 x if and only if_ ,where |x| and < ys 2°

A: Solution:- y=sec-1x means, x=sec y where x≥1 and 0≤y≤π,y≠π2

Q: f({x, y))) for all c e R and all (x, y) E R?

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Q: Findəz/əx andəz/əy if z = x* sin(xy³).

A: Find ∂z∂x.

Q: g(x, y) = 9x sin(x²y) Calcule 9ry

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Q: Euler's difFQ 3. (y()) =VZ Eq cal g'ral-2y cx ) =x (y (x )

A: Given differential  equation:-    y' - 2y = xy3        y(1)=2√2

Q: xy" - y' + 4x y= 0, x> 0; y,(x) = = sin x

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Q: xy' – y = x cosx, with y(7/2)= .

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Q: e through C x sin-

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Q: find δƒ/δx and δƒ/δy. ƒ(x, y) = e-x sin (x + y)

A: The given two variable function is fx,y=e-xsinx+y To find: the value   of δfδx and δfδy. Solution:…

Q: Evaluate f ((x – y) cos(7(x + y))) dA where D = {(x, y) : Y < x < y+2, –x < y< 3 – 2}. D

A: Solve double integral by using the change of variables

Q: 2- Find the value of x which make the line containing CO the Points Cx, 5) and (-2,3). Parallel to…

A: Given condition is that both line are parallel , hence slope of both line are equalslope of line(m)…

Q: f (x, y) = 2 cos (x – y) + 1 %3D

A: we have to find the domain and range for the given function

Q: Find the general solution of y' = y sec x

A: Given, The differential equation y'=ysecx We have to find the general solution.

Q: Find f,, fy, and f, for f(x,y,z)= 5xy+ 3xz + yz.

A: It is partial derivative

Q: Find those constants a, b, c, d such that f(z) = ax² + bxy + y² + i(x² + cxy + dy?)

A: The given function is : fz=ax2+bxy+y2+i(x2+cxy+dy2)

Q: Cov(X,Y)=E(XY)+E(X)E(Y) صواب خطأ

A: False

Q: [x 2. x tan --yjA +xdh = 0; when x=0, y=z/2 ......

A: Given differential eqution  x tan2yx-y dx +xdy=0      ;  y0=π2

Q: If f(x,y,z)=exp(3x)cos(-4yz), find Vf. %3D

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Q: cos (y) C = 3x2

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Q: Find y' if xy + cos(y) = y²

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Q: Find the values of ∂z/∂x and ∂z/∂y at the points z3 - xy + yz + y3 - 2 = 0, (1, 1, 1)

A: Given: z3-xy+yz+y3-2=0  At the points (1,1,1) To find: The values  of ∂z∂x and ∂z∂y.

Q: Find y' and y'". y=cos(xsin3x)

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Q: Find vf(x, y) if f(x,y) = e* c cos y 5.

A: Note : according to our guidelines we can answer only first question because there are multiple…

Q: b- y" -y+2y+ cos x, 05x y(0) -0.3, y()--0.1

A: To show the boundary value problem has unique solution we solve the given ode by method of…

Q: 15. Solve for f(x) the i I and dy.

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Q: F (r, y) = (3x²y² + cos y + ye", 2ar*y - - r sen y + xe*)

A: Given F→x,y=3x2y2+cosy+yexy,2x3y−xsiny+xexy. We have to determine whether the vector is gradient…

Q: Eliminating the parameter from x = f(t) and y = g(t) means eliminating_______ from the pair of…

A: In parametric equations are the quantities are represented by the functions of a single independent…

Q: ='i+(2xz - y)j XZ and (2, 1, 3) is

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Q: Find Vf(x, y) if f(x,y) = e** cos y ..... ...

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Q: == cos(yx²) x=r* – 2t, y=1-°

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Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.