Obtain the general solution. (HOMOGENOUS EQUATION) 1. 2(2x² + y²)dx - xydy

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Q: Let f(x, y) = 4x² - 2xy + 3y² - 8xy List the critical point: The critical point is a Select an…

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Q: sin Evaluate the integral - (sin¯¹(x/5))²dx √25-x² is coir -1(x/5))² dx 25-x²

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Q: For the function f, given below, find the antiderivative F that satisfies F(1) = 1. f(x)=x²-3x 4+4…

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Q: 4 local event center hosts wedding receptions The event center charges a rental charge plus a charge…

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Q: Given: z = x² + xy¹, x = uv² + w³, y = u + vew Find дz dv when u = 3, v = -2, w=0

A: Given that z=x2+xy4, x=uv2+w3, y=u+vew We have to find the value of ∂z∂v, when u=-3, v=-2, w=0.

Q: (y² cosx - 3x²y - 2x)dx + (2ysinx − x³ + lny)dy = 0; y(0) = = e

A: Solve this given differential equation.   We will compare the given differential equation with M dx…

Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

A: We need to interpret the function and graph.

Q: 4. Find the area of the region between the line y = x/2 and the curve y = x² − 4x + 4.

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Q: Find the area of the region between y=-x² + 4x and y = 4 from=0 to x = 2 Simplify your answer. Type…

A: NOTE: Refresh your page if you can't see any equations. . given functions are limit of x is  so…

Q: Consider the function f(x)= 4x³+18x² +18x x³+3x² (a) Evaluate lim f(x) and lim f(x), then identify…

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Q: Find the area of the region enclosed by the curves between their intersections. y=² and y Simplify…

A: The region bounded by the curves y=x2 and y=x32. We have to find the area of the region.

Q: Two variable quantities A and B are found to be related by the equation given below. What is the…

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Q: A particular solution of x²y" - x(x + 2)y' + (x + 2)y=2x³, x>0, V₁(x)=x, V₂(x)= xex 2x²+x a. b.…

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Q: Assume A, B, C, D are all nonzero real numbers. Then Ax² + By² + Cx+ Dy = 0 is an equation of a…

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Q: Solve this differential equation.

A: We are required to find the solution of differential equation(6y2-7xy+x2)dy+xydx=0

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Q: Consider the function f(x) 9x³ 2x² + 10x - 3. 3 An antiderivative of ƒ(x) is F(x) = Axª + Bx³ + Cx²…

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Q: According to the Principle of Mathematical Induction, to prove a statement that is asserted about…

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Q: A particle is moving with acceleration a(t) = 30t + 18. its position at time t = 0 is s(0) velocity…

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Q: A spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.3 cm/min.…

A: Given query is to find the rate ate which volume is decreasing.

Q: I company determines that its demand function is given by p(q) = - 0.7q + 2406 and that its cost…

A: I company determines that its demand function is given by  pq=-0.7q+2406 and that its cost function…

Q: Evaluate the first partial derivatives of the function at the given point. f(x, y, z)= x³yz: (1., 1,…

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Q: 05x

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Q: If f(x) = = f'(x) = 6x² 5+x² " find:

A: NOTE: Refresh your page if you can't see any equations. . the given function is take derivative

Q: Solve using Lagrange multipliers. (The stated extreme values do exist.) A one-story storage building…

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Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

A: NOTE: Refresh your page if you can't see any equations. . the height of the projectile after t…

Q: Evaluate the definite integral. L'e' de e² Give the exact value of the integral in terms of e, do…

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Q: The supply and demand curves for a product are Supply: y = 500x400 Demand: y = 100x + 8000, where x…

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Q: Click the best answer * y = −(1+x²)(2+x²) -1 0 -3 3

A: To find the turning points of the function f(x) , set f '(x)=0  and solve for x .

Q: 5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed…

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Q: y=3-vr+2 +++ + ++++x

A: Let's draw a graph by using transformation.

Q: -T Which of the following represent the terminal side of a 6 A B angle in standard position? D с

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Q: a. Find the linear approximating polynomial for the following function centered at the given point…

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Q: marginal average cost of producing x digital sports watches is given by the function C′(x)​,…

A: Given query is to find indicated functions.

Q: A projectile is launched straight up in the air. Its height (in feet) t seconds after launch is…

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Q: If the graph of the equation y = cos(x) is to be modified to triple the amplitude and to double t…

A: Given query is to find the equation of the new graph.

Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

A: Given Differential equation y' - y = -y2

Q: Consider the function f(x) = 5x⁹ + 3x5 − 4x² − 4. Enter the antiderivative of ƒ(x). Do not enter +C…

A: ∫xndx=xn+1n+1+cantedeivative of f(x) is ∫(5x9+3x5-4x4-4)dx

Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: 2:² - 1 2003 +11 If the limit does not exist, type DNE. Compute the limit lim

A: S=limx→∞(x2-1x3+1)limx→∞(1x)=0

Q: Calculate h'(3) if O a. -32.00 O b. This derivative does not exist Oc.-21.00 O d.-8.80 Oe. -7.20…

A: Given expression of h( x ) h( x ) = xf( x ) + 4g( x ) Given f( 3 ) = -5.2 g( 3 ) = -2.9 f'( 3 ) =…

Q: Find the derivative of y with respect to z. y=7 (25) dy dz ||

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Q: Below is the graph of f', the derivative of the function f. Determine which of the following is/are…

A: Graph of the derivative function is given, we have to find the behavior of the function f at the…

Q: Find the iterated double integral in polar coordinates of the integral SS-√4-x² 3x dydx

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Q: Evaluate the derivative of the following function. f(x) = (2x)³x f'(x) = (Simplify your answer.)

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Q: Decide if the following statement is true or false, and the correct reasoning: According to the…

A: To decide whether the following statement is true or false, and to state the correct…

Q: The polar coordinates of a point are given. Plot the point. 57 (4 ) 1/2 4 2 -2 -4 2 4 . 1/2 4 2 -2…

A: NOTE: Refresh your page if you can't see any equations. . the polar coordinate is  so here we have

Q: A defense contractor is starting production on a new missile control system. On the basis of data…

A: Setup integral

Q: -1 An open-top box has a square base. If the total sur area of the box is 75 square meters. Find the…

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