Show that the limit xłycosy lim (x.y)→(0,0) 2x4 +y² does not exist.

Q: 31. (a) Use the Quotient Rule to differentiate the function tan x f(x) see x (b) Simplify the expres...

A:

Q: Determine whether the integral is convergent or divergent. The integral from negative infinity to 0,...

A:

Q: e

A: We need to evaluate integral.

Q: paxt9_ dx 2X1 hーメクナでメ

A:

Q: Derive y: x+, y = (sin((x² – x)*))x²+x %3D

A:

Q: If ö1 = (3, – 3) and v2 = (– 8, 8), then find 601 + 702. Type your answer in component form, (where...

A:

Q: If * = 2 tan(0), then a. cos(0) Vx2 + 2 Ob. cos(x) = Vx2 + 4 c. sin(8) = Vx2 +4 O d. cot(0) 2 е. sin...

A:

Q: The general solution of the differential equation (x + y)°dx – (y² – 2xy – x²) dy = 0 is

A:

Q: The size of a certain insect population is given by P(t)=400e population equal 2000? 011 where tis m...

A: Given that: Size of population at any time t, P(t)=400e0.1t

Q: 11T A point has polar coordinates ( 8, 6. Convert to rectangular coordinates. (r, y) = Enter your an...

A:

Q: For real number p, let f and g be defined by f(x) =e=*³ and g(x) = 1/x", respectively, on [1,00). р,...

A:

Q: The measure of each interior angle of a regular hexagon is

A: Measure of interior angle of regular hexagon

Q: Find the General Solution: y" +y' - 6y = 2x

A: The given equation is a second order linear differential equation having constant coefficients. The ...

Q: Example 1: A particle is moves along a coordinate axis in the positive direction to the right. Its p...

A:

Q: 4x3 + 2x + X 4. lim X→-4 X -3

A: 4. As per our guidelines we are suppose to solve only first question if the multiple questions are p...

Q: Calculate a and b such that v = au + bw if u = , w = and v = .

A:

Q: c x(x²-x+2) dx is equal to 3

A:

Q: n° n=1 3n2 en Σ: 22n 2 2n + 1 n=1

A: Since you have posted multiple question in this question which are not interlinked so i have solved ...

Q: dx 72

A:

Q: -dx. Evaluate ſ &-3)(x*-1) ,. х2-2х-3

A:

Q: 1. Use the following matrices to compute the indicated expression if it is defined. [ 3 A = 15 21 6 ...

A:

Q: 1. Find the determinant of the following matrices by using elementary row operations. 4 -7 9 1 6. (d...

A:

Q: 3. f (а - х)-3dх

A:

Q: у" + 16у %3D0, yT4) -2y' (π/4) -1 =

A:

Q: Use a 45°-45° right triangle to find the exact value of the following trigonometric expression. cos ...

A: NOTE: Refresh your page if you can't see any equations. . as we can see, the radius of the circle i...

Q: Question 4 (а) Evaluate, with the order of integration being reversed, an equivalent integral of the...

A:

Q: Example 2: The position of a particle moving along a coordinate axis is given bys(t) = t° = 9t? + 24...

A: Given that: s(t)=t3-9t2+24t+4, t≥0

Q: A hole is drilled through the center of a sphere x2 + y? +z? = R², leaving a ring-shape solid. If th...

A:

Q: 11. у" - у" - у +у%3D0

A:

Q: Among all the points on the graph of z = 10-x2 -y² that lie above the plane r+2y+3z = 0, ind the poi...

A: Given that z=10-x2-y2 and x+2y+3z=0 Find the point which is farthest from the plane.

Q: Determine if the following series converges or diverges. If it converges find its value. n²+ 4n+3 5/...

A: Wi will use partial fraction to solve the given problem.

Q: 6y" + y' - y = 0 is yı =e*³. Use the method of reduction of order to find a second linearly independ...

A: Topic:- Solution of differential equations

Q: (8,7,11) Figure 1 Figure 2 A(n) 3 in x 12 in piece of cardboard has squares cut out of each corner i...

A:

Q: -8 dx J3 (x2-12)

A: Here we have to solve the given integral.

Q: 1. y = 2x2-5 at ( 2, 3) %3D

A:

Q: Set up the definite integral that gives the area of the region. Yı = (x – 7)3 Y2 = x – 7 dx J6 y 1.5...

A: Given problem:- Set up the definite integral that gives the area of the region. Y1 = (x-7)³ Y2 = x -...

Q: Suppose that in 1662, a man bought a diamond for $34. Suppose that the man had instead put the $34 i...

A: The continuous compounding formula is P(t)=P(0)ertwhere P(0)= the initial amountr = the rate of inte...

Q: u - 1 Find dy/dx, given y : and u =Vx + 2. u* + 1

A: We can find the derivative as below.

Q: Determine the volume of the rotating object using the shell-tube method Volume ( πr2h) Area bounde...

A: Given

Q: Show that the limit x²ycos y lim (x.y)→(0,0) 2x4 +y² does not exist.

A:

Q: Find the point of intersection between the line x+2/6 = y - 3 = z/3 and the plane x + 2y – 4z = 0.

A:

Q: 35-40 Use a graph of the sequence to decide whether the sequence is convergent or divergent. If the ...

A:

Q: Find the general term of the sequence, starting with n = 1, determine whether the sequence converges...

A: We have to find sequence is convergent or not and also find its limit.

Q: 23) Find x=72+\/72+J72+. . - A) 72 B) 7 C) 8 D) 9

A:

Q: If  h(x) =    5 + 4f(x),  where  f(4) = 5 and f '(4) = 2,  find  h'(4).

A: Solution: Consider the function h(x)=5 +4f(x) f(4) = 5 and f '(4) = 2 (Given)  

Q: The velocity of a moving particle at any time t is given by expression 12t2 + 10t +7. If when t = 1,...

A:

Q: Please do number 9

A:

Q: LU Factorization Method Example 2 Use Cholesky's LU factorization method to solve the system 16х, — ...

A: Given: Matrix is given

Q: bxy + 2b°y²)(x dx + ydy)> xdy -ydx

A:

Q: 2) Find the symmetric equation of the line containing the point (1, 2, 1) and perpendicular to the p...

A: