Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

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A: Solve triangle ABC .  Whose sides are a= 14 , b=15 and c= 26 .  Find Angles A, Angle B and Angle C.

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Q: Perform the indicated matrix operation, if possible. - 2x+2y -5x + y - 10x + 8y 4x-3y 4x-7y 2x 3y-3x…

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Q: The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy + 2y)dx + (2y³ + 2x²y + 2x)dy…

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Q: Let f(x) = 4x + 4 6x + 7 Determine (fof)(x).

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the limit, if it exists, or type N if it does not exist. 2x² lim (x,y) (0,0) 4x2 + 1y²

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Q: Which of the following equations has a solution of the form F(x,y) = C A. 2x + 3y + (2y + 3x) dy B.…

A: we need to find out at which of the equations has solution of the form F(x,y)=c

Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. OC. ev eLny HA O D.y…

A: given    y(x+y+1)dx+x(x+3y+2)dy=0   it is of the form Mdx+Ndy=0   where M=y(x+y+1),    and…

Q: fxe* dx.

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Q: 5. Show that dy ay of dx of arccosx -1 √1-x²

A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.

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Q: A chemical substance has a decay rate of 6.9% per day. The rate of change of an amount N of the…

A: Given :- dNdt=-0.069N

Q: Question 27 The integrating factor (IF) of the equation: (2x³y² + 4x²y + 2xy² + xy² + 2y)dx + (2y³ +…

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Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/2 | when x = -1 and y…

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Q: Obtain the differential equation whose general solution is y = C₁ + c₂e³x. O A. y"-3y' = 0 3y" - y'…

A: Topic-differential equations We are given,y=c1+c2e3xWe know thatddxeax=aeax

Q: dy 3y What is the IF for solving the linear equation: x + = dx COSX,x>0

A: The given differential equation, xdydx+3y2=cosx, x>0 We have to find the integrating factor

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) x² + y² lim (x, y)-(0, 0)…

A: Given:- limx,y→0,0x2+y2x2+y2+81-9

Q: If f(x) = f'(x) = = f'(4) = 3 tan x, then -sin(x) - 3 sec²(x) COS X >

A: we need to find out the derivative for the given function

Q: Which among the choices is the same as the differential equation dP dt = = P(C₁-C₂P)?

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Q: A solid lies between planes perpendicular to the y-axis at y = 0 and y = 1. The cross-sections…

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Q: What is the value of k so that the differential equation (y³ + kxy4 − 2x)dx + (3xy² + 20x²y³)dy = 0…

A: We need to find out the value of k that makes the given differential equation exact.

Q: Find the exact length of the curve. x = 5 + 12t², y = 6 + 8t³, 0≤ t ≤ 3 12117-1)

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Q: Which of the following equations can be made into a linear differential equation? O A. (x² + xy)dy -…

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Q: Let f(x)=−3e^x+2+e^4 f′(0)=

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Q: lim 0-0 cos 0 - 1 20²

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Q: Find, correct to the nearest degree, the three angles of the triangle with the given vertices. A(1,…

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Q: 7x - 4 3 – – 4x 4x² dx

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Q: Which of the following equations is NOT a variable separable differential equation? A. 2xydx + (x² +…

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Q: 1. Find the limit. lim X-5 lim x-5 2 √x +11 -6 x-5 2 √√x+11 -6 X-5 =

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Q: 13. Suppose that lim f(x) = 13 and lim g(x) = -7. Find the following limits. X-4 X-4 a. lim…

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Q: Another model for a growth function for a limited population is given by the Gompertz function,…

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Q: Solve the following D.E. using two(2) methods (y-2) dx (x - 4y + 5) dy

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Q: In this problem you will calculate the area between f(x) = x² and the x-axis over the interval [3,…

A: a) ∆x=b-an

Q: Solve for the value of C in the equation: (3xy2 + 2y)dx + (2x²y + x)dy: = 0 when y(1) = 2

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Q: Which among the choices is the same as the differential equation dP -= P(C₁-C₂P)? dt

A: Which of the following choices is the same as the differential equation.

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Q: ind the limit, if it exists, or type N if it does not ex e√4x²+5y2 lim ,y) →(-2,4)

A: Given query is to find the limit of the expression.

Q: Which of the following is a non-homogeneous function?

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Q: 플 f(1 - cos 0)cscode 풍

A: Topic-Definite integral We are given, ∫π6π3(1-cos θ)csc2θ dθWe know that∫csc2θdθ=-cot…

Q: Suppose f f(x) dx = 25, f f(x) dx = 10, f g(x) dx = 10 and h(x) = 0 3 the following: a. (5f(x) 6g(x)…

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Q: dy Solve for the value of C in the equation: + ycotx dx O A.-5 OB. 5 OC.-4 O D. 4 O E. None of the…

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Q: Evaluate the following integral. π/4 S 0 cos x)² dx secx+cOS X)

A: Explanation of the answer is as follows

Q: Solve for the value of C in the equation: A. 1 B. 2 C. 3 D.-1 (2xy4e³ + 2xy³ + y)dx + (x²yªe¥ − x²y²…

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Q: Use the Law of Sines to solve for all possible triangles that satisfy the given conditions. (If an…

A: Given query is to apply sine law and complete the triangle.

Q: a -- In words, describe the curve F(t) = (2 sint,e',2 cost) for 0<= t <=6 . Be sure to give enough…

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Q: Find the equation of the tangent line to the curve y = 8 sin æ at the point (7,4). The equation of…

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