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Q: (ysin x+xy cos x)dx+(xsin x+1)dy = 0 Ans. xy sin x+ y = c

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Product Rule of integration : ∫u.v dx =u.∫vdx -∫dudx∫v dxdx ∫yn dy =yn+1n+1+C ∫cosu du =sin(u) +C

Q: Find the area bounded by the curves f(x)=x+8 and g(x)=x²-x.

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Q: Solve the First Order Differential Equation using appropriate method. Show complete and detailed…

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Q: Evaluate the integral of x(x – 5)1²dx with limits from 5 to 6.

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Q: t-1+2 dt

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Q: 3 dx extle) Vx+4 V x+4

A: Explained below

Q: 5. Evaluate the indefinite integral, ſ' coth- dx. - 6.

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

A: Using integration of square root of a2 - x2

Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

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Q: 4. V21+4:-z dz

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Q: 1. Determine the convergence or divergence of a series whose nth term is given by nº 1 (a) 3n2 + 4n…

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Q: 7/4 *(1 – sin 2t)3/2 cos 2t dt

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Q: 2. Find the directions cosines of AB. a. Ā = (-1,2,3) and B = (4, –3, 1) %3D

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Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y²,…

A: We have to find the equation of tangent plane

Q: Given the parametric function fill in the table. x (t) = t3 - 2t %3D y (t) = t - 3 t x -2 -1 1 2.

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Q: A. Determine whether the following functions are continuous or not. are not, classify them as…

A: Given : f(x)=x2-36x+6     To Find : type of discontinuity   Note : If f(x) is undefined at x=a, and…

Q: Use the shell method to write and evaluate the definite integral that represents the volume of the…

A: Find your answer below

Q: y =f(x) Enumerate all discontinuities of f(x) and identify their types. If a discontinuity is…

A: We have to find the discontinu points

Q: (a) P:4x-3y-6z - 2 0 P2: 12r +9v+ 18z-5 0 O Parallel O Perpendicular O Neither eTextbook and Media…

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Q: Find the derivative of the following functions from first principles. (i) x? (ii) e (iii) log (x +…

A: derivative

Q: 2 +y? +? inge muitipilers to find the maximum and minimum values of f(x, y) = 2x + y – 2z subject to…

A: We are using Lagrange multipliers method

Q: In Circle H, Segment RA is a diameter Theorem 100: Inscribed Quadrilateral Theorem Quadrilateral…

A: To prove Theorem 110:  If two chords are equidistant from the center of the circle,  then the two…

Q: Suppose that the bacteria in a colony grow unchecked according to the Law of Exponential Change. The…

A: Given:    Since we have given that Number of bacteria initially = 1   It triples in number every 30…

Q: Use an appropriate substitution to show that the value of the following definite integral has value…

A: SOLUTION-

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j…

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Q: The angle of shevation isdegrees loundtoenart )

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Q: r'dA D = {(x, y) : 1 <I<e, 0Sys In(r)}

A: We need to apply the integral limits appropriately and then integrate it.

Q: dy cos x + (sin æ) y = 9 dx y = 9 sec - C cos æ y = 9 sin a ++ C cos x y = 9 sin? x + C cos æ y = 9…

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

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Q: indefinite integrals: Show complete and detailed solutions. Express your answers in simplest form…

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Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Solution According to Intermediate Value Theorem, a function f(x) is continuous and k is any number…

Q: Evaluate e |/| 2xz dV where E = {(x, y, z) | 0 < z < 1, ¤ < y < 2x, 0 < z < z + 3y} E Round your…

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Q: Find the exact area of the surface obtained by rotating the curve y=÷x², 0<x<12, about the y-axis.…

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Q: Vx-2 4. Lim x→2 Vx2-4

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Q: Find the directional derivative of f at Pin the direction of a. f(x, y) = 4x* y²; P(3, 2); a = 3 i –…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: 7 dx 5. S 2 2 3 xVx-4

A: We will solve the integration.

Q: Determine if the following statement is true or false. The lines L and L2 are skew. L:x= -1+ 2t, y =…

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Q: 8) Find a power series representation and determine the interval of convergence for 2 f(x) = 3 – x

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Q: 2 + x? -dx •4 29.

A: We have to find the integral

Q: Solve the differential equation with appropriate method. Finalize answer equated to ky^n. dy/dx + y…

A: Using bernoulli's differential equations, solve this differential equations.

Q: Solve the differential equation with appropriate method. Finalize answer equated to y. y' = 2xy - x

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Q: Solve the I.V.P: dy 1 = 6y°x; y (1) = dx 21 1 y = 24+3z2 1 3z2-24 1 y = 24-3z 1 24-3z? నా నా

A: To find solution of IVP

Q: Given, 1 ) dæ + ( y6 Ах + 1 :) dy = 0 y7 is an exact differential equation. Determine the value of A

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Q: * | 2x)cx csch (2 sin -1 V1-4x²

A: The given integral,       ∫csch2sin-12xdx1-4x2

Q: SOLVE the following DIFFERENTIAL EQUATIONS using appropriate method. 1. (3x'+ 2y)dx + 2xydy=0

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution of the…

Q: cot e dv cot ( +9)1-cos? e Irm

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Q: 1) cos(s*)dtds

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A) Write the DE that describes the model and solve it. B) Determine the time needed for the number…

A: Follow the procedure given below.