xy lim (x,y)→(0,0) x² + y²

Q: Part 2. Solutions to Some First Order DE. Solve the following DE: (x-1)² y+3 y(3) = -1 2. y' = y

A: A detailed solution is given below.

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A: Solution

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A: We need to find volume.

Q: So ty 1-x² dx

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Q: mswer below: f(x) = f(x) = (x) = -2 68 5 4 3 2 10 1 0 1 -2 -3 -4 -5 6 -7 2 -00 4 6

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Q: Find the relative extreme values of p(x) = 20 5 - 3x3

A: Here we have to find the relative extreme values.

Q: III.² f(x, y, z) dV as an iterated integral in six different ways, where E is the solid bounded by…

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Q: If it was f(x, y) = ln(xy) + tan(xy) so Fxy fxy = sec(xy) (2y tan(xy) + 1) - A fxy = sec (xy) (2x…

A: Solution

Q: . Determine the following function U is harmonic or not x U = 3 + y cos sin cos sin

A: This question is related to Functions, we will solve it using given information.

Q: Use the definition of derivative to find = f'(x). f(x) = for 1 3x

A: Given f(x)=13xf'(x)=limh→0f(x+h)-f(x)h=limh→0(13(x+h))-13xh=limh→013x+3h-13xh

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Q: Evaluate the integral. (Use C for the constant of integration.) The integral of sqrt((4+x)/(4-x))dx

A: To evaluate the integration.

Q: Find the absolute maximum and minimum values of f(x,y)= x²-2xy+2y on the rectangle defined I by x in…

A: We need to find absolute maximum and absolute minimum on guven region.

Q: 11. Find the area of the region bounded byy = (x - 1)² + 1, the x -axis, x = -1, and x = 2. A. -6 C.…

A: Here we are using integration method to find the area of the given region.

Q: 2 3 1. Determine the derivative to y² = x³ + y² + 2xy

A: Given problem:- Determine the derivative to y2 = x3 + y3 + 2xy

Q: 20- 18 16- 14- 12 10 Co 8 6 4 2 1 Estimate the instantaneous rate of change at x = 1

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Q: ii. Given g(x) = √x²+5 if x<-2 3-3x if x2-2

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Q: a) Using all the letters of the word SUCCULENT, determine how many distinguishable arrangements…

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Q: Find the general solution of the given differential equation. xdy + (3x + 1)y = e-3x dx y = Give the…

A: Given problem :-

Q: I'm seeking help on the 2nd bullet point starting with "Now find the equation of the tangent line...

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Q: Find the area between f(x)=x²-25 and the x-axis from. x = 0 to x = 6. ... The area is square units.…

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Q: Problem 3: The graph of h in the figure below has vertical asymptotes at x = -2 and x =3. Find the…

A: Topic = Limits

Q: Find the linear approximation to the equation f(x, y) = 4 ln(x¹ −y) at the point (3,80,0), and use…

A: Linear approximation

Q: Suppose that f(x, y) = √√4² - x² - y² on the domain D = =4 Q Then the double integral of f(x, y)…

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Q: Eliminate the arbitrary constants of the following. Simplify your answers.  5. y = c1 cos2x + c2sin…

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Q: An unstretched spring is 20 cm in length. If it is stretched to 30 cm, 40 N of force must be…

A: Solved below.

Q: Approximate the area under the curve over the specified interval by using the indicated number of…

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Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: (0)3-3x+2 sinh' (In x) cosh (In x) (E) sin(2x)dx dx N

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Q: 8. How many terms are in the expansion of (2x - y)¹⁰? A. 9 B. 10 C. 11 D. 12

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Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as improper…

A:

Q: The differential equation y"(1-x)+xy'=y is linear homogeneous O non linear homogeneous linear…

A: We have to choose correct option

Q: 1 Q2: Evaluate fo y² (x² + y²) dx dy

A: Given :∫01∫01-y2y2x2+y2dxdy

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A:

Q: Question: 3 The volume of a cube is increasing at a rate of 15cm/min. At what rate the side of the…

A: We know that volume of cube is (side)3. That is V=x3, where x is side of a cube. Differentiate V…

Q: 3 3 3 5 2 1 , B = 21 19 1 1 (A - 5B) X = C. Given the matrices A MATC the matrix X in the equation…

A: See the answer below

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: Find the limit as k tends to infinity

Q: Find the fourier series for f(t) which is defined f(t) =t - ¬<t<¬

A: Given function is odd function, just write the Fourier series of given odd function and calculate…

Q: 1. Why is mathematics difficult to define?

A: Disclaimer:  “Since you have asked multiple questions, we will solve the first question for you. If…

Q: Find the minimum value of the following function: f(x,y,z) = x² + 2y² + z² - 2xy - 2y + 5  using…

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Q: O do 5 sin cos de Sin ³0 + 3sing-4

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Q: A graphing calculator is recommended. (a) Find the equation of the tangent line to f(x) = x² - 2x +…

A: Solution

Q: Complete the explanation of how to map one triangle onto the other. 8 in. 4 in. 4 in. 7 in. and then…

A: We need to choose correct option.

Q: Evaluate f f (x) dx

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Q: -1 If f(x) = e calculate ƒ '(2).

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Q: Find the unit tangent vector to the curve defined by r(t) = (4 cos(t), 4 sin(t), 2 sin²(t)) π at t =…

A: I have appended the formula used in the solution part of the question

Q: 5. 3 C d S a b e porld at t Let λ = 2 be an eigenvalue of an n is correct? (a) |21 - A| ‡0 (b) 21 -…

A: As per guidelines, I can answer maximum one question. Since you have asked for multiple questions…

Q: Determine whether the series converges, and if so find exactly its sum. Otherwise type none in the…

A: This question is related to series and sequence, we will solve it using given information.

Q: Q2: Find the double integration f (4x + 2)dydx D = {(x,y):0<x<2,x?<y≤2x}

A: