7. Find and sketch the domain of the function f(x, y) = 2 ln(49 – x² – y²) + 8/ -

Q: Find the differential of the function y = f(x). 2x2 + 5 f(x) = X + 5 dy = %3D

A:

Q: Use differentials to approximate the change in y = f(x) from x = 4 to x = 4.1 for the function, f(x)…

A: It is given that,

Q: hi, i've added the problem as a picture please take a look. thanks in advance!

A:

Q: 9. The anti-derivative of the function f(x) = e² + cost is (a) e²+ sinx+c (b) e² - tanz+c 10. 0.5(x…

A:

Q: Find the exact length of the curve. Y=(1/4)x2-1/2 ln(x), 1 less than or equal to X less than or…

A:

Q: 1. If z = 2xy – 3x²y and x is increasing at 2 cm/sec determine at what rate y must be changing in…

A: Z is neither increasing nor decreasing at the given instant. A function is said to be neither…

Q: ation: tanh’(x² + 3y 3

A: We have to find dydx of following equation. tanh3(x2+3y3)+ex2y4=3        ........(1)

Q: Determine the differential of the function y=x3−3x2+4x at the point x0=1 when dx=0,1.

A:

Q: 4 the second order For the function y = 4 e" - - d'y is derivative dx? 4e + 8x-3 O 4e" + 4x-2 -3 O…

A:

Q: Find differential of the function y= (r + 3)*

A: The given function is                                 y=x2+33

Q: Let y = f(x), where f(x) = 7x³ + 3x. Find the differential of the function. dy = X

A: The differential of y is the derivative of the function times the differential of x,

Q: B)ls w = z²1² analytical function or not?

A:

Q: Find the differential dy of the given function. y sec² x x² + 2 dy sec²x(x²+2)tan x-x (x² + 2)² dx X

A:

Q: Find the differential of the function y = f(x) f(x) = (2x² 1)1/3 dy = %3D

A: It is derivative problem.

Q: II. Find the particular antiderivative of the function f(x) = e" (2" – 1) whose graph passes through…

A: Given

Q: یک 2. G(x) = L tanz et et +3 -dt

A:

Q: Find the differential of the function y = f(x) . f(x) = (5x² + 7)/3 dy =

A:

Q: Let y = f(x), where f(x) = 6x2 + 3. Find the differential of the function. dy =

A:

Q: 8. Find the length of the curve y = e on the interval 0, ln 2| %3D

A:

Q: 2. Is the function G(x) = 2e -5 an antiderivative of the function g(x) = 6e"? Use the…

A: Given information: function Gx=2e3x-5 function gx=6e3x here, we have to show that, the function G(x)…

Q: 5) y>10 (3v-1) (1+5w)

A:

Q: 2. Find y' by implicit differentiation. (5) xy =1+ xy

A:

Q: Can you help me step by step?

A: To determine the value of first and second derivative of the function

Q: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

A: Find the differential dz of the function f(x,y)=4y2+x2y−2xy and use it to approximate Δz at point…

Q: Find the differential dy of the given function. y = ln sqrt 5-x^2 dy=

A:

Q: Find the differential dz of the function f(x, y) = 4y² + x²y-2xy and use it to approximate Az at…

A:

Q: Find the differential of the function y=2x2+3x+1 at the point x=1 when dx=0,1.

A: To find the differential of the given function at point x = 1 when (d x) = 0, 1.

Q: Let y = f(x), where f(x) = x4 − 5x. Find the differential of the function.

A:

Q: Find the differential d3y of the function y=x2ex.

A:

Q: Find the differential dy of the given function.    y = x tan x

A:

Q: Find the value of dz and dz/ dy at the point A when x changes by (0.01) and y changes by (-0.01) xe…

A: Here we can use the following formula  If z=fx,y, thendz=fx dx+fy dyδzδy=fx δxδy+fy

Q: Find the differential of the given function y = xcosx

A: To differentiate

Q: II. Find by implicit differentiation. dx dy 1. 2x? + 2y? =17 2. x'y - xy = a'b 1_1, 3. x y 4. 2x +…

A:

Q: Find the differential dy of the given function. y sec² x x² +2 dy = sec²x(x²+2)tan x-x (x²+2)² dx x

A:

Q: 1. 2x'y² + 4yx² = 6. Find dy/dx at (1, 1) by i- %3D

A: Here we have, 2x3y2+4yx2=6 ................... (1)  Differentiate with respect to x

Q: Find the derivative of the function. r(x) = In| 4x + e* | Oa. 4+4e4* 4x +e*x O b. none of these…

A:

Q: Let y = f(x), where   f(x) = 5x3/2 + x1/2.   Find the differential of the function.

A: The given function is

Q: Find the differential of the function f(x) = (x+4)^(1/2) dy =

A: Find the differential of the functionf(x) = (x+4)^(1/2)

Q: 1. Find for differentiate each of the following functions. dy хр a) (In(coshx) sinh x) g) y = - b) y…

A: Given: a)lncoshx3c)y+4coshx2=exsin-1(2x)g)y=sinhxex

Q: Find dy for the given values of x and Ax. 3 y =x° - 6x +8; x = 1; Ax = - 0.1 - 6x + 8; x = 1; Ax = -…

A:

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz,at the point in the direction of A =…

A:

Q: Find the differential dy of the given function. sec² x y x² + 2 sec 2x (2x²tan x + 4 tan x-2x)…

A: This question is based on quotient rule

Q: Find the differential dy of the given function. (LUse "cx" for dx.) x +3 3x

A: We will solve the problem

Q: Find y′ by implicit differentiation. e^(x/y)=4x−2y y'=?

A: To calculate the value dy/dx from the provided implicit differentiation e(x/y)=4x-2y. Now,…

Q: Find the differential dy of the given function. Xx + 5 y = 2х — 9

A:

Q: Suppose that x and y are both differentiable functions of t and are related by the given equation.…

A: Consider the equation 5xy-5x3=15 Here, the objective is to find dydt in terms of x,y, and dxdt

Q: (2) Find the derivative of the following: In xy = e*+y 4. %3D y = esint (In t² + 1) 5. y = In e 1+e…

A:

Q: Can you help me with this problem step by step?

A: Differentiating implicitly with respect to x on both sides. Solving left hand side first.

Q: Find the differential dy of the given function. y = √(9 − x2)

A: The given function is Now, find the derivative of the function

Q: Find the differential dy for the function y=3sin(2x)+x.

A: We have to find dy for the function y=3sin(2x)+x.