Calculate the “n” of the DE with the given 6y^2dx-x(2x^3+y)dy=0

Q: Find the firct derivatioves of the follwing: - 3 ) y= 3x-x -2 4) y: Jerx 2) y: Ji-7x 5) y = 2メ-3

A: ddxxn=nxn-1 ddxu(x)v(x)=v(x)ddx(u(x))-u(x)ddx(v(x))v(x)2

Q: Find the Integration of: fn (3sint + esin t) cost dt In 3

A: Given that, ⇒                   y =∫π2π( 3sint +esint) costln3dt⇒                     find the value…

Q: Integrate: ∫sec^(3)2xdx

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Q: Evaluate the qwen Detinite Integra ax(7-x²)* dx 2X

A: From the given integration: I=∫-3-22x7-x23dx.....(1) Using the substitution method to calculate the…

Q: Integrate sin 6y sec 3y dy from limit 0 to π

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Q: Differentiate: y = arcsin + Oy = y = - 4-x O y = x V4 – x2 4-x2

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Q: Estimate √4.1 using linear approximation.

A: This question is based on the linear approximation of a function.

Q: 5 Find xy dydx. 4

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Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: 5 Find xy dydx.

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Q: Find general soulution (x+1)dy/dx +(x+2)y=6xe^-x

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Q: 8 Evelluate the double integral: + 3x) dydx

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Q: 3. f Arccos 2xdx

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Q: Calculate the left rectangle approximation of 3x- dx using five subintervals.

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Q: Evaluate the integral. 1//3 3earctan(y) dy -V3 1 + y2

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Q: dx - Evaluate V4x' +9

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Q: x² +1 dx (3x+1) 2. Evaluate

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Q: Use Trapezoidal Rule with (n- 4) to find the integral dx x-1

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Q: Let u=sinx and the integrand will lead to integration by partial fraction

A: use substitution method for solving the  integral

Q: calculate the integral.

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Q: he integra = 3/2 is dz Z-2

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Q: In² xdx

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Q: Use partial fractions to integrate: 1 dx 5x? + 6х +1

A: Consider the provided integral, ∫15x2+6x+1dx Solve the provided integral by using partial fraction.…

Q: Use forward, backward and centered difference approximations to estimate the first derivate of: tx)…

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Q: Find the area of a triangle bounded by lines y=2x and x=1 by double integration

A: Given region, y=2x        ...(1)x = 1        ...(2) Substitute the value of x = 1 in (1), y = 2 So…

Q: Use the Midpoint Rule withn= 3 to approximate the integral %3D 13 (- 9z - 3a")daz 9x 3x) dx

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Q: Evaluate the integral (8 (8x+15y)dx + (27x - y)dy along the parabolic arc y = x² from (0,0) to…

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Q: THE AREA BETWEEN THE CURVES 4 y = x²³² AND y ²³ = 4X IS REVOLED 2 ABOUT THE LINE X= -1. SOLVE FOR…

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Q: The integrating factor of the linear first order differ dy sin2x y+tanx xp Oa None of these Ob sinx…

A: Given differential equation, sin2xdydx=y+tanxdydx-ysin2x=12cos2x If the equation is of the form…

Q: f(x) = x - e-x?

A: Use bisection method to find a root.

Q: 3. Approximate the integral -dx using 4 trapezoids.

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Q: Find the area under the loop of the curve y2=x4(x+4) using integration

A: An integration formula for calculating the area under the curve will be used. We will calculate the…

Q: 6. Carefully interchange the order of integration to evaluate os(x/²) dx dy. COS -1

A: To evaluate: ∫-11∫y21cos(x3/2)dxdy by changing order of integration.

Q: Find the area of a triangle bounded by lines y=2x and x=1 by single integration

A: A definite integral can be used to compute area bounded by curves. If there are two curves f,g over…

Q: Evalute Sofy ex* dxdy by first reversing the order ex² 3y integration.

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Q: 4. Find derivatice y 4=In (x 3-4x²+1)

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Q: Find the geneul suluticn dy t. + 2y= 2X 2. dx

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Q: Find the image of the point (-2,4) under the compression with factor ½ in the y-direction. O (-1,2)…

A: The point is -2, 4To find the image of point under the compression with factor 12 in y-direction

Q: .find the integral by Gamma fun y(-Iny)5 dy

A: Gamma function is defined as Γ(x)=∫0∞xn-1e-x dx .               Disclaimer: Since you have asked…

Q: Find the the Yegion bounded by area y= tanx 4

A: integration gives the area of any function y .

Q: What is the (a). general solution to xydx-(x+2) dy=0? (b) integrate.

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Q: NN² 4xy² dydx /4-x2

A: In the given question we have to draw the region of the integration s.t…

Q: dx 1+e2*

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Q: What is the Fourier transform of the one-dimensional rect function rect(x) = 1, for |x| |x|…

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Q: Calculate using integration by parts: x^3 sin(x^2) dx

A: Given: ∫x3sinx2dx

Q: Use the composite Simpson's rule with step length h=0.5 to determine 1= [ (2x - - 3x2 + 4x – 1)dx,

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Q: cosx dx sin²x-5sinx-6

A: Find your answer below

Q: Calculate I dx n=LobysimPsons4) rule

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Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4.  The radius of the circle is 2 and center…