Use implicit differention to find an equation of the tangent line to the curve at the given point: x2 + 2xy - y2 + x = 2           (1,2)

Q: Please show your answer to 4 decimal places. Suppose that f(x, y) = e 2²-2y²-2x-y then the maximum…

A: See this solution in below.

Q: (A) True (B) False The differential equation f(x) dx + g(y)dy = 0 is exact.

A: We know that a differential equation of the form  Mx, y dx + Nx, y dy = 0 is exact if and only if…

Q: lim -3x7 + 7x³ – 5. X→∞

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Q: In Exercises. , use an iterated integral to find the area of the region bounded by the graphs of the…

A: According to our guidelines,i can solve only first please reroute the remaining question.

Q: A closed rectangular container with a square base is to have a volume of 1152 in³. The material for…

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Q: Q4: (a) Assume that P(x) is a polynomial of degree 3. Find the general form of the partial fraction…

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Q: #1 #2 2/2J (8 + 4 cos x) dx •3 [² - 10 (1 − e¯x) dx

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Q: Find the vertex, focus, and directrix of the parabola given by the equation. (x - 3)² = 4(y + 1)…

A: The given equation of parabola is x-32=4y+1 We have to find its vertex, focus, directrix.

Q: f(x) = x +2+1 202

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Q: Find the absolute minimum value of the function f(z) shown below. 1 00 7 S 3 2 1 0 0 1 2 3 4 5 6 8

A: We need to find out the absolute minimum value.

Q: An aquarium 6 ft long, 3 ft wide, and 2 ft deep is full of water. (Recall that the weight density of…

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Q: 2. Water runs into a conical tank at the rate of 9ft³/min. The tank stands point down and has a…

A: Given query is to find the the rate of change of height of water.

Q: 12. S dx x³+1 dr

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Q: 1 lim x-2x-2 4 x² - 2²

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

Q: dy Which of the following is the general solution of xln x + y = ln x² ?

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Q: Which of the following is an integrating factor for ydx - xdy = 0 ? al 8 y x

A: Topic:- calculus

Q: A cylindrical can, open at the top, is to hold 200 cm³ of liquid. Find the height, h, and the…

A: given volume is v=200 cm3

Q: A -3 (в -2 2 3 The non-zero value of n for which the differential equation become exact differential…

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Q: Line 1: 3x - 5y = 15 Line 2: a line perpendicular to 3x - 5y = 15 that contains the point (3, -5)…

A: solution is given ...

Q: 3) -) :) [-1, 8] minimum maximum (4,9] minimum maximum (0,8) minimum maximum [4, 10) minimum maximum…

A: We will find the required.

Q: A B (U) D The integrating factor for (2y - xy2)dx - (3x+x²y)dy = 0 is 5 2xy 5xy xy 1 2xy

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Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

A: To prove that the general solution to n dm+m dn+mn3dn+dm=0 is cmn=e-3n-m.

Q: integrating factor for ydx - xdy = 0

A: We need to find out the integrating factor of the given differential equation.

Q: 2. a) Find the area inside the graph of r = 8 + cos 0 and the right of y -axis. b) Determine the…

A: Area of a region in polar coordinate is Area=∫∫rdrdθAnd length of a curve in polar coordinate is…

Q: aluate ſ²(x + 5)³dx, with number of intervals 4, i 7

A: We have to solve using integral calculus

Q: A B The integrating factor for (2y – xy²)dx − (3x + x²y)dy = 0 is 2xy 1 5xy

A: The given equation is; (2y-xy2)dx-(3x+x2y)=0.

Q: y=-x√361-x² the graph. y=-x√361-x. Find the total area of the shaded

A: Given  find intersection

Q: 1. Asymptotes at y = 5/3x - 29/3 and y = -5/3x + (11/3 and a vertex at (1, -3).

A: Given find intersection of asymptote , which is center of hyperbola ( h , k ) = ( 4 , -3 )   one…

Q: 2. The path taken by a particle is a horizontal line as it moves according to the law 3 s = ²²…

A: Concept: Velocity is the rate of change of displacement that is  v(t)=ds(t)dt Acceleration is the…

Q: Determine, using the definition, the Laplace transform of the function f(t) =1+t.

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Q: ider the following. f(x) = 1 x+2 (a) State the domain of the function. all real numbers x all real…

A: Given query is to find characteristics of the function.

Q: The graph of y = f(x) is shown below. Provide your answer below: -7-6-5-4-3-2- 1 2 Draw the graph of…

A: Given query is to find the graph after transformation.

Q: Which of the following is the general solution of dx u² + 2x² = C xu²+u = C ²x²u²+2u=C du -xu²…

A: If any of the given options is a general solution to the given differential equation. Then…

Q: FOLLOW INSTRUCTIONS PLEASE TYPEWRITTEN COMPLETE SKIP IF YOU ALREADY DID THIS UPVOTE IF YOU FOLLOW…

A: y=x4-x2+2slope m is the derivative of the equation;dydx=ddx(x4-x2+2) using the rule of…

Q: 1) Use a left-hand sum with 4 subintervals to approximate the following definite integral. Round to…

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

Q: Determine the area bounded by x = -y² + 10 and x =(y-2)²

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Q: For each of the following rational functions, find the (a) domain and range, (b) the zerces of the…

A: The given functions, i) fx=x+34+x ii) fx=x-1x2-4 We have to find its domain, range, zeros and…

Q: Find the partial fraction decomposition of -6x - 16 x² + 6x + 8

A: -6x-16x2+6x+8

Q: Find the volume of the solid of revolution generated by revolving about the line x = − 4, the region…

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Q: (b) x + 2y = 4x², y(1) = 1 dy dx dy (c) 3x²y = xe*³, y(0) = 1 dx - -

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Q: Evaluate [sin(5x) cos(4x)dx COS X 2 cos 9x 18 -+C (b)

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Q: Evaluate the integral. (Use C for the constant of inte 1² 4 tan4(x) sec5(x) dx

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Q: dy general solution of 25 dx - - y secx = y³ tanx

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Q: Is the statement below true or false?   The differential equation f(x)dx + g(y)dy = 0 is exact.

A: The statement is false.A differential equation Mdx+Ndy=0 is exact if and only if ∂M∂y=∂N∂x. see…

Q: Given the following functions, compute the composition (fog)(x). f(x) = 2x+8 g(x) = 3x - 6 Simplify…

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Q: 2. Find the solution of the given initial value problem. y" — 6y' +9y = 0, y(0) = 1, y'(0) = 2.

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Q: 5. Consider the polar curves having the equations r = 3 sin 0 and r = 1 + sin 0. a. Sketch the…

A: Given curves are r= 3 sin(theta),r=1+sin(theta)

Q: (4) Find the area between y = 2 sin x, y sin 2x, x = 0, and x T. Sketch the region.

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Q: 7. Use Simpson's rule to approximate the value of sin xdx. Use four 0 subintervals. Express your…

A: The given integral is sinx , limit from 0 to pi.

Q: Ders except and -40 Ders except-and- Ders except and -

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