Using decomposition into partial fractio 2x2 + 2 x(x2 + 2) is equal to

Q: Find the length of the curve 7(t) = (4t, In(t), 4t²) for 1 <t< 4 Add Work Submit Question

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Q: Please

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Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

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Q: Use the chain rule to find the derivative of 16 f(2) = 2(– 3x0 – 52)" You do not need to expand out…

A: Given: f(x)=2-3x10-5x916

Q: y = log, x+1

A: Given: y=logx-1x+1

Q: (2x2 + x -3) * (x + 1) a = [21-3]; b = [1 1]; find conv (a, b)

A: Given :2x2+x-3*x+1

Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: We have to find particular solution .

Q: Part 2: Differentiate the following functions. Show your complete solution. 1.) f(x) = (x +3x)1000…

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Q: Exercise 2. Find the following limits 3x +1 1) lim 2x +5 1-3x2 3x +1 2) lim X 2x +5 3) lim x- 2x+5

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Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them c_1+c_2…

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Q: Use the chain rule to find the derivative of f(x) = 6/3x + 5x10 Type your answer without fractional…

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Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The integral dx Vx² – 4 3 -2

A: To evaluate the given integral

Q: Find a and b such that f(x) is continuous at x=1. [x – 2] + a x 1

A: A detailed solution is given below.

Q: Given y, (x) = x² is solution for the differential equation x?y" – 3xy' + 4y = 0 Using the reduction…

A: We have to find the solution of the differential equation.

Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: A kite is flying at a constant height from the ground at a speed of 2m/s. If the kite maintains the…

A: Draw a schematic diagram of given figure.

Q: 10 Evaluate S f(x)dx f(x) 4 X. 9 10 in

A: Given: And I=∫010f'xdx

Q: nd the surface area of the plane ( 15x- 5z+20y=D35) if it is in the first octant

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Q: Which of the following is the differential equation of the family of Straight lines with slope and x…

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Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: Solve the equation (2xy - tan y)dx + (x^2 - x (sec y)^2))dy = 0

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Q: 3y + 2y Solving by variation of parameter y" Wronskian W is: 3e*cosx, the value of |

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Q: The general solution of the fourth-order differential equation y() + y" + y" =0 is: %3D y=c_1 +c_2…

A: The general solution of the fourth-order differential equation.

Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: convert csc x/ cos x to sec^2 x/ tan x

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Q: Find the equation of the tangent line at the given point on the curve. 2y - Vx = 4. (16,2) y =U

A: We need to find equation of tangent line.

Q: Find the equation of the tangent line at the given point on the curve. xy? = 36. (1,6) The equation…

A: This question is related to equation of straight line, we will solve it using given information.

Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

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Q: What is the solution of D.E y" – 2y' = e*sinx when solved using the method of undetermined…

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Q: Using appropriate substitution, [sec (2x) – 1] tan(2x) dx is equal to

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Q: P3: tan 3x sec 3x dx

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Q: Exercises: Find the derivatives of: 1- sin(x?y?) = x, 2- xy + y? = 2

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: Find the volume by revolving the region of the curve xy = 6 from x = 2 to x = 4 about the x-axis.

A: Given xy=6        x=2 to x=4To find volume:

Q: Solve the equation xy^3 dx + (y + 1)e^(-x) dy = 0.

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: Explanation of the answer is as follows

Q: Graph the function. Use the graph to find the indicated limit, if it exists. x20 lim f(x), fx) = -…

A: solution:-f(x)=x3 ,         x≥0-6x  ,    x&lt;0left hand limitlimx→0-f(x)=limx→0--6x=0right hand…

Q: Find the Area bounded by the given curves. 1. у %3 х2, у32х+3 2. х2 - у -1, х3у -3 3. у 3 х2, у-2-х2

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Q: 3) Evaluate the Riemann sum for f (x) = x² – 2x, a = 0, b = 3,n = 6. Taking the sample point to the…

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Q: The integral dx – 4 3 1 Vx2

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Q: y= Arccos(e2x)

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Q: Suppose that f (x, y) has continuous second-order partial derivatives everywhere and that the origin…

A: Given a function f(x,y)

Q: What are the coordinates of the point on the graph of Ax) = (x+ 1)(x+ 2) at which the tangent is…

A: solution:-f(x)=x+1x+2      =x2+3x+2slope of tangent=ddxf(x)                             =ddxx2+3x+2…

Q: the derivative of f(x) = x% (x% +x% + x%

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Q: The differential equation (x²y-2x- 3)dx+ 2dy=0 O Linear in y Linear in x O Homogenous O Exact

A: Given a differential equation

Q: is ' (3n– 1)? n=1

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Q: The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O…

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