(B) Find the subsequent displacement for a simply supported beam of length (L) take a positive value for constant in the separation of variables methad if the governing equation given by d?y d'y =0 where C = EI/pA %D

Q: What is the equation of the tangent line to the curve y = - 2x2 +5 at (-2, 13)?

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Q: 1 Find the derivative of f(x) = v2 – 3xª 2 -4 |

A: We use chain rule to find derivative

Q: Find the equation of the tangent plane to the surface 4 =1 at the point 9. 16 (1,-3,2)

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Q: For the equation x² +2.xy – 3y =0, find the equation of the normal to the tangent line at the point…

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Q: Both x and y denote functions of t that are related by the given equation. Use this equation and the…

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Q: Q4) find at t= from the following functions, x= cost . y= 1+sint

A: Given that  x=cost  y=1+sint  To find the d^2y/dx^2 at t=π/2

Q: A line is tangent to y = x - 2 at (2,6). What is the coefficient of x when the line is in the form…

A: Given curve y=x3-2    ;   (2,6)

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

A: Given that, ϕx,y=4xy    ...1. Let the points be, x1,y1=1,4 and x2,y2=4,4. Consider the velocity…

Q: Find the slopes of the tangent lines to the ellipse 4x +y = 40 at y=2. The smaller slope is The…

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Q: b) Find the derivative of ľ 1 et In ydy.

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Q: (b) Find the derivative, d af sin dr sin (vt) dt.

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Q: Find AC with respect to $2 ✓ = {(x, y) = 1x1 + 111 ≤ 23₁ + and A = {(x,y); x² + y² < 2 ³

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Q: XVII. For w = x³ + xy² +yz, find the rate of change of w at point (1,2,3) in the direction towards…

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Q: a) Use your knowledge of derivatives and/or integrals to plot the velocity v(t). Assume the initial…

A: The given acceleration v/s time graph is The following can be understood from this graph:1. The…

Q: 3 y = Vlog2(sin5 x)

A: Given equation is y=log2sin5x3

Q: 3 y = Vlog2(sin5 x)

A: Given a function,  y=log2sin5x3 To find dydx, Differentiating y with respect to x,…

Q: ii) Find the value of a, correct to two decimal places, such that Pr(Y s a) = 0.7

A: Given data: Find the value of a, correct to two decimal places, such that Pr(Y ≤ a) = 0.7

Q: a.) 4xy" +3x³y'-7x = sin(2x)e²x dy dx b.) 5xy+3 = 2e¹¹ N

A: A differential equation is said to be linear if  (1) every dependent variable (i.e y) and every…

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.