y(x) = C1x"+ C2xP, evaluate a + B2). x²y" – 19xy' + 84y = 0, x > 0. -

Q: Differentiate ysin(1/y)=1-xy

A:

Q: usk 2: Find the derivative of 4x2 + 6y3 = 50 by filling the blanks. %3D (2 xD(x-)+x 6)(y³4)_=__ dy >…

A: We have, 4x2+6y3=50            ⋯⋯1 We know that, from basic derivative formula ddxkxn=n·kxn-1ddxk=0…

Q: If f(x, y, z) 2x5 + 3y5 - 8x2y2z2, what is the partial derivative of f with respect to z?

A: The given function is fx, y, z=2x5+3y5-8x2y2z2.

Q: Find the value of dz at the point (1)1, If the equation 5xy+ z4x -Qy2 =4 %3| defines z as a function…

A: Given 5xy+z4x-2yz=4to determine dzdx  at  (1, 1, 1)

Q: Find all the second partial derivatives of 3 (x,y) = 4r°y– 7xy?

A:

Q: Evaluate: 1-11-24 = - dx 1 + x 0 By the trapezoidal rule with h = 0.5, 0.25 and 0.125 respectively.

A:

Q: Show that : y' = 1 when y(x) = sin-(x) %3D V1– x2

A: Differentiation is done in many ways. Some of the rules of differentiation are illustrated below :…

Q: Which of the following is not a meaningful triple integral?

A: a. ∫01∫0x∫x+y2x+yex+y+z dz dy dxb. ∫01∫0z∫x+y2x+yex+y+z dz dy dx

Q: 1. If y=tanx, prove that y=2(y² +1)(3y² +1).

A:

Q: The partial derivative fx(-1,0) of ƒ(x, y) = xe³ + x² + 1 is equal to −1. Select one: True False

A:

Q: Find the first and second order partial derivatives for z x2 sin (3x + 2y).

A:

Q: Find the partial derivative. z = sin(2.a*y – 3xy?) az

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Q: 3. f(x,y) tanx - sec²x - cosy

A:

Q: Differentiate implicitly to find the first partial derivatives of z. 7x² + 3y² + 11z² = 36 əz əx əz…

A: Differentiate implicitly to find the first partial derivatives of z.   7x ^ 2 + 3y ^ 2 + 11z ^ 2 =…

Q: What is the mixed, second order partial derivative of this function. f (x, y) = / 2x² + y²

A:

Q: (B) If f(x, y) = x² ye(x+y²). Find the four seconed partial derivative.

A: Let us find the four second partial derivatives of the given function in the next steps.

Q: Q2. Find the second order partial derivative of x² - y² + 2xz - xy + yz.

A:

Q: Find the partial derivative Əz Əx for the function z = 8y²√x.

A:

Q: y² + y²eG)° + 2x²•G° x': 2xye 6) Zaye*

A: The solution is given as

Q: y" + 4y = 2 sin(6x)+ 6x²e¬3z + 5x,

A:

Q: Find all the second partial derivatives forf (x, y) = x³y5 + 2x*y.

A: All the solutions are given below.

Q: What is the derivative of y x2 e+ 3x -2 ? %3D O y = (6x³ + 3x? +2) ez?+2z - 2 %3D O y = (6x + 3)…

A: Topic = Derivataive

Q: +[2yln [2yin (3 3y²dx 3siny dy = 0 ;when x = 1, y = 0 5x x2+3x x+3,

A:

Q: Find the partial derivative. = (a² + 4x – 2y)° - dz II

A:

Q: derivative

A:

Q: Solve for the second (a) own partial and (b) cross partial derivative of the function below x² + y²…

A: On solving this we will get

Q: Find the second-order partial derivative. 4) Find fxy when f(x.y) = 8x3y 7y2 + 2x. A) - 28 C) 24x2…

A:

Q: Find all second order partial derivatives of f(x, y) = 6x²e3y

A: Consider the function fx,y=6x2e3y

Q: Find the first and second order partial derivatives for z = x² sin (3x + 2y).

A: As we know that; The product rule: f·g'=f'·g+f·g' The chain rule: fgx'=f'gx·g'x And The first order…

Q: Find the first partial derivatives of the funct f(x, y) = x8 + 7xy5 fx(x, y) =

A:

Q: 2) Let f(x, y) = x sin(2y) + 5y¹. Find fyyyyyyyyyy (x, y) (10 partial derivatives), explaining how…

A: Here the given function is f(x,y)=xsin(2y)+5y4x. We have to find the 10 times partial derivative of…

Q: Intergrate dy (2y-x) =In Co)

A:

Q: Find the approximate root of y = 2x2 + 4x – 6 when x = 0.01 using differentials. -

A:

Q: Evaluate the required second order partial derivative. Find fxy(5,-1), if f(x,y)= -2xe5y

A:

Q: 1. If y= tanx, prove that y"=2(y² +1)(3y² +1).

A:

Q: Find the linearization of ƒ(x) = sqrt(1 + x) + sin x - 0.5 at x = 0

A:

Q: Find the four second partial derivatives. z = 6x2 + y5 a2z дхду дудх ду?

A: We will find all the asked second order partial derivatives as following.

Q: Find the third order derivative of y = In(cos(2x))5. %3D A. y' = -40sec² (2x)tan(2x) %3D В. у' 3…

A:

Q: Find both first partial derivatives. z = 6x − x2y + 8y2

A: Find both first partial derivatives. z = 6x − x2y + 8y2

Q: Compute the derivative of y = In ( VI-2 conh z - (z² + 2) -(2- 1)

A:

Q: f(x csc² 2x - x cos 2x)dx

A: The given integral is ∫xcsc22x-xcos2xdx. The objective is to solve the given integral. Following…

Q: Find the partial derivative of u = x^2 + y^2 + z^2 - 4xyz

A:

Q: Test for homogeneity

A:

Q: Find the partial derivative. 2 = (r² + 5z – 6y)“ az ||

A: The given function is: z=x2+5x-6y4

Q: Find the partial derivative. Find fx(3, -7) when f(x,y) = 7x2-9xy. O -21 O -126 O 21 O 105

A: differrntiate partially with respect to x

Q: (b) Find the partial derivative, g where g(x,y)=sin' (2x+y). (c) Given z= In(2x+3y) with x 2s' (t-s)…

A:

Q: Find y" by implicit differentiation. 9x2 + y2 = 4 y" = %3D

A:

Q: Find all the first partial derivatives of; glw,2, y, z) = xe2w - wyz?

A: Topic:- partial derivatives

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.