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Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x' from (0,0) to (1,1).…

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Q: Evaluate the integral (2x+3y) dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

A: To Evaluate: I=∫C(2x+3y)dx+(6x-y)dy along the parabolic arc y=x2 from (0,0) to (1,1).

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: arc on y = x312 from (0, 0) to (4, 8)

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Q: Find the area of the surface that is obtained by rotating the curve Y = 0.25X? – 0.5 Log.X, 1<X< 2…

A: Given curve is, y=0.25x2-0.5logex  1≤x≤2 Let the area of the curve be S.

Q: Evaluate the integral (2x +3y)dx + (27x – y)dy along the parabolic arc y = x² from (0,0) to (1, 1).…

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Q: Show that ∫0∞ e-x 2 dx = ∫10√(-ln y)  dy  by interpreting theintegrals as areas.

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Q: Find the total differential dz for z=tanh(y)ln(x)

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Q: Determine the integrating factor of the Bernoulli's equation given pelow: dy -y cot2x = y' csc2x dx…

A: ................(1) substitute take derivative .................put it back in equation 1

Q: Evaluate the integral / (12x + 3y)dæ + (3x – y)dy along the parabolic arc y = x² from (0, 0) to (1,…

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Q: Evaluate the integral / (2x + 9y)dx + (6x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

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Q: Evaluate the integral / (4x + 18y) dx + (27x – y)dy along the parabolic arc y = x? from (0,0) to (1,…

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Q: Differentiate: y = /16 – z² – 4 arccos() e+4 y' = Oy= Oy- %3D

A: Given that : y = √(16 - x2) - 4arccos(x/4). We find derivative of this function (y).       Here i…

Q: Evaluate 112x C: arc on y = x5/2 from (0, 0) to (4, 32) (2x - y) dx + (x + 3y) dy.

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Q: dx dy y? 0,

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Q: 1. Integrate using Integration by Parts: I sec? x dx

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Q: Evaluate the integral / (10x + 15y)dx + (18x – y)dy along the paraboli - arc y = x² from (0,0) to…

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Q: ) Find the area of the surface that is obtained by rotating the curve Y = 0.25X² – 0.5 Log.X, 1<X<2…

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Q: A particle moves along the x-axis with velocity dx/dt = ƒ(x). Show that the particle’s acceleration…

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Q: Find the approximation of the integral. 1= [e*dx Using Romberg's rule derived from Trapezoidal rule…

A: Given integral I=∫01e-x2dx Here we use Romberg's rule derived from Trapezoidal rule for 1,2,4,8…

Q: Sketch the region of integration. (Select the correct graph.) dy dx y y 2 2)

A: The given integral is: ∫02∫x2e-y2 dy dx

Q: )Find the volume of the solid obtained by rotating the sine function between x 0 and x t about the…

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Q: Evaluate the integral (2x +3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

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Q: Find the area in the first quadrant bounded by the curve Y = 4–?^2 and the axes using horizontal…

A: Consider the region bounded by the the curve and the axes in the first quadrant

Q: solve: d/dx on the intergral 2x to x3 with an integrand of t2 et^5 dt

A: Given integral is

Q: .A telegraph cable is made of an outer winding around an inner core. If x is defined as the core…

A: Using double derivative test to get max value of x

Q: Evaluate the integral / (8x + 3y)dx + (18x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A: Explanation of the solution is given below....

Q: A particle moves along the curve y= /1+x³. As it reaches the point (2, 3), the x-coordinate is…

A: NOTE: Refresh your page if you can't see any equations. . the given point is (2,3) so x=2 and y=3…

Q: Evaluate the integral [(4x + 15y)da + (6x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

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Q: Evaluate the line integral. -y dx + x dy segment from (3, 0) to (0, 3) x2 + y2

A: Find the slope of the line through the given points.

Q: Let y = sin(4z). If Az = 0.1 at æ = 0, use linear approximation to estimate Ay Ay x = Preview Find…

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Q: Evaluate the integral (8x +9y)dx + (3x − y)dy along the parabolic arc y = x² from (0,0) to (1,1).…

A: We can observe that x is ranging from 0 to 1. We have the following. So,…

Q: Sketch the region of integration. (Select the correct graph.) dy dx y y 1 1

A: Order of change of integrals

Q: dz Different iate implicit ly to find and if z'yz + In(ry) + sin(yz) = 10. ду

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Q: The area bounded by the ourves y= *", and y=2x iş revolved about the y-axis, Find the moment of…

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Q: Evaluate the integral (4x +9y)dx + (9x – y)dy along the parabolic arc y = r from (0,0) to (1,1). (4x…

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Q: Evaluate the integral / (4x + 18y)dx + (27x – y)dy along the parabolic arc y = 2? from (0,0) to (1,…

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Q: /hat is the value of dx at the point (1,0) if y = In(x² +y²)?

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Q: Find the arc length of f(x) = e² from x = 0 to x = 1. Be sure to recall integration techniques we…

A: In the given question we have to find the arc length of the curve from x=0 to x=1. Concept: The…

Q: Evaluate the integral (2x+3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1, 1).…

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Q: Evaluate the integral / (4x + 12y)dx + (15x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

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Q: Evaluate the integral | (2x + 9y)dx + (21x – y)dy along the parabolic arc y = x from (0,0) to (1,…

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Q: Find the total differential. z = x cos(y) -y cos(x) dz %3D

A: A scalar function f(x,y) is a rule that is used to associate a number or quantity with a particular…

Q: Q2// Find the resulting volume of the curve y = sin x cos x rotation about the x-axis if x=0, x=/?

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Q: Evaluate the integral / (8x + 18y)dx + (24x – y)dy along the parabolic arc y = x² from (0,0) to (1,…

A: We have to find value of given Integral along given Curve.

Q: @ Eualuate the integral dx dy dz taken throughout the volume of

A: Concept:

Q: Ev aluate the double integral dy dx

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Q: Evaluate the integral / (2x + 3y)dx + (6x – y)dy along the parabolic arc y = x from (0,0) to (1,1).…

A: Given

Q: (5) Obtain the integral curve for dy +y cotx = e*cscx passing through the dx point (0, 0).

A: We have to solve the given differential equation

Q: Let y = sin(5x). If Aæ 0.4 at x = 0, use linear approximation to estimate Ay %3D Ay = %3D Find the…

A: delta y here represents the change in the value of y when x changes from x= 0 to x =0.4.

Q: Determine by direct integration the moment of inertia of the shaded area with respect to the x axis.

A: From the given graph, The function y = k x13  limits from x = a  to  x = b