If =4xy, find x and y components of the velocity at (1,4)  and (4,4). Calculate the discharge passing between the streamlines passing through the points

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the…

A: As a first step, let's convert the given information in a diagram. Please see the white board.Let A…

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Q: Find the slope of the line tangent to the graph of x^2+2xy^2+3y=31 at the point(2,-3)

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Q: z = Vx4 + yf, fz (1, 2)

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Q: Find the point where the line tangent to y=x* – 3x² +2 at (2, 6) crosses the x – axis.

A: y=x4-3x2+2,  2, 6 Differentiating with respect to x, we get dydx=4x3-32x+0=4x3-6x Now slope of the…

Q: Find the point on the line y = 3x + 4 that is closest to the origin. (x, y) = |

A: To find - Point on the given line closest to the origin.

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A: 2x + √(x+y) = y  So,  √(x+y) = y - 2x So, x+y = (y-2x)² So, x+y = y² + 4x² - 4xy  So, y(1+4x) - y² =…

Q: If ø = 4xy, find x and y components of the velocity at (1, 4) and (4, 4). Calculate the discharge…

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Q: calculate the derivative indicated r,(0), r(t) = (e2t, e−4t2, e6t)

A: It is given that, rt=e2t,e-4t2,e6t. Note that, If  rt=ft,gt,ht where f, g and h are differentiable…

Q: Find the slope of the line tangent to 2xy + π sin y = 2π through the point (1, π/2).

A: The slope of the line tangent to 2xy+πsin y=2π through the point 1,π2.

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Q: Find the point on the line y=5x+3 that is closest to the origin (x,y)=(______)

A: Let (m,n) be the point on the line which is closest to the origin.Put n = m, y = n, in y = 5x + 3…

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A: Since, the parabola passes through (0,1) ,so,we substitute x=0, y=1 ,to get c=1

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Q: What is the equation of the tangent line to the curve y = x^ + 2x? −x+8 +2x2 where x = 1? y = 7x - 3…

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Q: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

A: Find the point on the line y = 4x +5 that is closest to the origin. (x,y) = ____

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Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

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Q: 2. Find the equation of the line tangent to x³ – 3xy + y = 1 when x

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Q: Find the point on the line y = 4x + 3 that is closest to the origin. (x, y) =

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Q: Find an equation of the tangent plane to the graph z = Væ + y³ nt (8, 2, 4).

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Q: 4) Find an equation to the line tangent to y = 5 + |x – 2| at the coordinate (2, 5).

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Q: Suppose that y is inversly proportional to x. If y = 6 when x = 3, find thd constant of…

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Q: Find the equation of the line tangent to x^2 + y^2 - 6x + 2y = 0 at (0,0)

A: Implicit Differentiation In implicit differentiation, when we differentiate y, we use y' or dy/dx…

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Q: Find the equation of the line normal to x^3 + y^3 = 6xy at (3,3)

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Q: Find the slope of the tangent line to 3x*y-6y 2 at (1,2)

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Q: I attached a picture of the question

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Q: 4. If s t-5t2 + 5t - 3, the velocity is equal to 2 if t =,

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Q: Find the derivative, or y', of ³ – Vy = ¿y² + 6 at (2,1).

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Q: Find the points on the curve y = 2x3 + 3x? – 12x + 9 where the tangent line is horizontal. (x, y) =…

A: we have to find the points on the curve where the tangent line is horizontal. y=2x3+3x2-12x+9

Q: End fz(3) in terms of the joine pdf of X and Y if

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.