S(x-ae )Vx² + 2e" dx -ах - ах 11.

Q: 5) (x- 4)² + y² = 9 Center Radius

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Q: d²y dx2 -y = 10sin²x

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Q: y2 = 20x О А. (5,0), х - -5, у-аxis В. (5,5), х%3D5, х-аxis С. (5,0), х%3D — 5, х-аxis D. (0,5), y…

A: Given query is to find the the focus , directrix and symmetry for the parabola.

Q: -5r2 -2r3 +4r5 -2r6 %3D -#4 +5xs +5xg = -522 -8rs +4r6 = 22 +s +t tu 240

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Q: calculate d2y/dx2 when y=.4x-.3

A: Given function is y=4x-3. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the…

Q: d Differentiate (-16x-1 +4x + 2) when x dx

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Q: Ax) dx Mx) dr 16. 17. 18. -6 -6

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Q: y²-6x²y=-9x ; y' at (1,3)

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Q: V 96x-x² 48 9Vx2+y2 dydx =

A: Refer to the figure shown below:

Q: · (D² + 3D + 2)y = xsin 2x

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Q: c. f(-8x)√√3-4x² dx d. S dx 6x² (4x³-9)3

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: x* dx (9x² + 49) - (92 - - (9x* + 49) +c V9x² + 49 18.

A: This is a problem of integration. Based on the general formula we will solve the integral problem.

Q: 9. (D²+4D+5)y-35ex:y(0) --3, y'(0) - 1

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Q: у" + Зу" + Зуy' + у %3D 30 е -х

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Q: 2r2-12r+18=o 2x+12x+21=O 2. yL+2x-Y=D

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Q: How would I do this?

A: Given integral can be written as

Q: (x4 - 4x²y²-y4) dx + 4x³ydy = 0; when x = 1, y = 2

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Q: dx 3 - 2х-х*

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Q: C2 (2+/4-x2-y2 (x² + y² + z²)/² dz dy d /4-x² J2- 4-x²-y2

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Q: y = (t² – 2)². a²y 2. dx²

A: y=t2-22 and x=t2 Now, differentiate the given function with respect to t.…

Q: Sa x5 √x² + 1dx

A: To integrate.

Q: Z = 5 X 4 2 -7x+8 d²z dx2

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Q: I-y+z=1 2x + 2= 2

A: The system of equations are : x-y+z=12x+z=23x+y-3z=3 Apply the cramer's rule in the system of…

Q: Find d2y/dx2 simplify in terms of x and y x2+y2=4

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Q: π 9- y² dy y 2 π 6.

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Q: Evaluate d2y/dx2 at the point (0, -9). x = t3 - 3t y = 3t2 - 9

A: Given: x = t3 - 3t y = 3t2 - 9

Q: 1. y+ /x + y = 2x at ( 2, 2)

A: Follow the procedure given below.

Q: Suz z², Y > x², y + 2x – 3 < 0

A: The given system of the inequalities is: y≥x2,y+2x-3&lt;0   The equation y=x2 represents the…

Q: Solve the system.

A: 2x+y=6 .......(1)x-3y=17 .........(2)3x+2y=7............(3)Multiply equation 1 by 3. We get,6x+3y=18…

Q: 3. (D² – 3D + 2) y = 2x³ – 9x² + 6x

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Q: 4. Perpendicular to x - 3y = 2 and passes thru (-3,5)

A: given that a line is perpendicular to the line x-3y=2 and passes through the point (-3,5). we need…

Q: 6. (D5 – 16D³)y = 0 7. (D² – 2D + 5)y = 0 - -

A: First I have written the auxiliary equation of given differential equation and then find its root…

Q: (x²-2y+xz) dydzdx= -2°1

A: Given        ∫03∫-21∫12(x2-2y+xz)dydzdx=

Q: y (t² + 7t + 5) (5t² + 3), tin fir dy

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Q: V212 -7x2 dx Jo V1- x?

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Q: Find f(-5e3* + VE)dt

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Q: 3. Find y" y = vx² – 4 -

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

Q: 4. (Dª + 2D³ – 6D² – 16D – 8)y = 0 - - - %3D

A: The given differential equation,     D4+2D3-6D2-16D-8y=0

Q: S- 2dx X(3(Inx)*+121nx-15)2

A: Use the substitution and make the given integration in standard form than solve .

Q: 91 182x-x2 9V x²+y² dydx %3D

A: Here we solve double integration problem.

Q: Q7 Integrate by completing the square: dx 16x2 + 8x + 2 08 Integrate by porto:

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Q: dy y2+1

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Q: 1.у %3D 5e2x 2. y = ex²+2x-1

A: The variable y' represents the derivative of the function. Differentiation of the function helps to…

Q: 3-3X 3-3X-y dz

A: ∫01∫03-3x∫03-3x-y dz dy dx

Q: 196x3 49x? 12x – 2 dx Integrate: 49x2 + 4 + C

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Q: Differentiate : a. y= (2Inx^2) b. y= In (xInx)

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Q: 2r + y – 2z = 12 47. {-x – y + z = -6 3x + y – 3z = 18 %3D

A: Problem 47: Dependent equation is said to be dependent when the system of consistent has many number…

Q: V16-x² (c) S dx 2х

A: Rewrite the given integral as shown below: ∫16-x22xdx=12·∫16-x2xdx

Q: 1. (D² + 4D + 5)y = 50x + 13 e3x

A: