X 2. Let z = f(u, v), u = xy, and v= дz (a) (b) Find Find Əz əx and 8²% Əx²* dy " where f has continuous second partial derivatives.

Q: Find the parametric equation for the line where the planes 4x + 6y + 2z 12 and 2x - y + z = 2…

A:

Q: Find the integrating factor (3x²y-x²) dx + dy=0 Select one: 0 а. ex O b. O C. e-x² Od era O e.

A:

Q: The volume of a cube with sides of length s is given by V = s³. Find the rate of change of the…

A:

Q: A rectangular poster is to contain 162 square centimeters of print. The margins at the top and…

A:

Q: Without using Synthetic Division, divide : (9x3 - x + 2) ÷ (3x - 1)

A: Given query is to perform synthetic division.

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: This is incorrect. Please resolve.. UPVOTE WILL BE GIVEN

A: The given answer is not incorrect it is just incomplete. Will be providing the complete solution in…

Q: 1. Find a particular solution to y" + 4y + 4y= 25 cos(t). Solution yp(t) =

A: As per guideline we can solve maximum one question you can repost other question

Q: Step 2 Now write the derivative in terms of x by recalling that u = x³ = x + 8. [eu] = (eu) du dx…

A: I have solved step by step in detail....go through the solution

Q: Solve (√x+x)=√y+y Select one: O a. y (c(1+√x) + 1)² O b. y = (c(1+√x)-1)² O cy=(-c(1 + √x) + 1)² O…

A: The given equation is; [sqrt(x)+x]dy/dx=sqrt(y)+y.

Q: Lynbrook West, an apartment complex, has 100 two-bedroom units. The monthly profit realized from…

A: NOTE: Refresh your page if you can't see any equations. . the profit function is given by where…

Q: Find the maximum value M of f(x, y) = x³y³ for x ≥ 0, y ≥ 0 on the line x + y = 2. (Use symbolic…

A: Given that fx,y=x5y3  ,x≥0,y≥0 To find : Maximum value on the line x+y=2Solution :we know that…

Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A:

Q: 3. Let f(t) = t(1 - 2t). a) Find the average rate of change of f(t) with respect to t as t changes…

A:

Q: Sketch the level curve of the function z(x, y) = x² + y² for c = 81.

A:

Q: 3. Use the variation of parameters method to find the general solution of the following Des 2ex ex +…

A:

Q: A series circuit has a resistance R = 10 Ohms and inductance L = 2. The battery gives a constant…

A:

Q: Consider the following function. f(x) = 5x³+ 15x + 7 (a) Find the critical numbers of f. (Enter your…

A:

Q: Q2. Solve the following ODE with condition y(2) = -4 and y' (2) = 14. y" + 2y + 5y = 50t - 100

A:

Q: 1. Find the double integral over the region R bounded by the functions. Choose the more convenient…

A: To find:- ∬Rx3y2dA ; y=x,y=0,x=1 ∬xeydA ; y=x,y=0,x=1 ∬RxydA ; y=x2+1,y=3-x2

Q: 5. f(x) = In ( =

A: Given :fx=ln1xformula :ddxlnx=1x

Q: Find the following using the table below. x 1 f(x) 3 f'(x) 2 2 3 4 2 4 1 4 1 3 g(x) 4 3 1 2 g'(x) 2…

A: Given that hx=fx.gxh'x=f'x.gx+fx.g'xh'2=f'2.g2+f2.g'2h'2=4×3+2×3h'2=12+6h'2=18

Q: Make an appropriate substitution and then use integration by parts to evaluate the integral. 5x14 ex…

A:

Q: Differentiate y = ex+2 +9.

A: Given function is y=ex+2+9 We need to find the first derivative of the given function.

Q: Find the derivative. 1 y = _x3 + 3x + Væ 2 Ody dx O Ody dx || ip O 32 y=2x2 +3 + 2x 32 || 2 X +3+1/x…

A:

Q: 4. y" -10y +34y = -cos3x

A:

Q: Question 29 Given 3x7 +825 - 21. determine, y' 630x +480x² + O 2520z³ +960x O 840x³ +360 P DE 126…

A:

Q: Find the solution of 25+1 di +T=80e-0.04² Select one: O a. T = (3.2tc)e-0.04t O b. T = (3.2t + c)e…

A: Here we have to solve the differential equation.

Q: The temperature is T(x, y) = (x-1)² + y² degrees at any point (x, y) on a triangular metal plate…

A:

Q: Solve for the particular solution: 4e-3x-2 y' e -6x +3e-3x+2 ; y (0) = 1

A:

Q: Prove the identities sinh(2x)=2sinh(2)cosh(2)

A:

Q: Use the tangent plane to approximate a function of two variables at a point. Use a tangent plane at…

A:

Q: 1+3 Sketch a detailed graph of the function g(x) asymptotes and draw them on the graph as dashed…

A:

Q: Horizontal Tangent There is a curve 3 y = x³ − 6x² + 12x + 5 What is the value of x where the curve…

A: Derivate y with respect to x and equate it to zero

Q: 2 y=5 + x3

A:

Q: Question 10 Determine the derivative of the given function y = log(a+b) cosh (2³) where a an…

A:

Q: 5 Find the center and radius of the circle. Write the standard form of the equation. The center of…

A: We know that the centre is the mid point of diameter.

Q: Find the inverse transform of the given function of s. 3 √ 55/2 F(s) = A B There is no correct…

A: We have to find the inverse transform of  Fs = 34πs52.

Q: Tutorial Exercise Find the derivative of the function. HINT [See Example 1(b).] h(x) In[(-3x + 7)(x…

A:

Q: Number 1: Given a first-order differential equation: /1 + x² dy − ydx = 0 A) Solve for the general…

A: Need to find out the solution of the differential equation.

Q: v-1 ● ● dv 32 = —— dt V l Solve the Linear Differential Equation (First Order) in a standard form.…

A:

Q: 28. (2A + B²)4

A:

Q: Given the following differential equation: (y³+ kxy4 - 2x)dx + (3xy² + 20x² y³ - ky)dy = 0 a) Solve…

A:

Q: 25. If a and h are real numbers, find the following values for the given function. The function is…

A: The numbers a and h are real numbers. The function is f(x)=x2-x+1

Q: Find the distance from the point (-2, 8, 9) to the line ā(t) = ( − 1, 3, 2)t + (− 2, 3, 9).

A: To find the distance from the point -2, -8, 9 to the line a→t=-1, 3, 2t+-2, 3, 9.

Q: 29. Sketch a graph of a function f that satisfies the following conditions: 1. dom(f) = [-3, 3]. 2.…

A:

Q: 9. A Rectangular box w/an open top is to be made from a square piece of cardboard that is Binche's…

A: This question can be solved using the concept of maxima and minima.

Q: Find the area of the region bounded by the curves y = xe -0.4x Area = x = 5, and y = 0. >

A:

Q: 81.2² 18 3x-2 = For the rational function h(x) a. Find any intercepts of the function. State them as…

A: to find the y-intercepts, take x=0

Q: 3. The volume of a right circular cylinder with base radius r and height h is given by V = πr²h Find…

A: