Since we want a specific potential function, we will choose K = 0, and so 1x3 3 Dy3. We know that if the curve C is given by r(t) with a sts b, the + F. dr = f(r(b)) – f(r(a)).

Q: 1. Determine the particular solutions of the following function. (D3 – 3D – 2)y = 0; when x = 0, y =…

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Q: 3. Find d²y dx² as a function of t if x = t - sint, y = 1- cost.

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Q: If f(x, y) = sin(xy+, then fy(0, 1) = X+x3 5 undefined 2 1

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Q: If y = (1-x)-3 V1+2x, find dy/dx

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Q: If f(t) = e-t3 – 2 sin 2t determine L{f" (t)} %3D

A: Formula Used: L{eattn}=n!(s-a)n+1L{sin at}=as2+a2L{f''(t)}=s2L{f(t)}-sf(0)-f'(0)

Q: If f(x) = x* + x³ + x, find ƒ ¯'(3) and f(f¯'(2)). 11.

A: Topic:- function

Q: Find f(x) if y = f(x) satisfies = f(x) is 4. and the y-intercept of the curve y = f(x) = . dy dx =…

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Q: Consider the function f (x) ax³ + bæ where a and b are constants. Suppose f' ( 1) = 12 and f' (0) =…

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Q: Knowing fli) = 3, f (1) = 27. find d (7) at

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Q: The curve C with equation y = f(x) passes through the point (1, -3). Given the following, find f(x)…

A: We know, ∫xndx= x(n+1)/(n+1)

Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: Q1. Find ý of the function x2 – e2x+3y – In(xy³) = 0. -

A: here is the solution

Q: Find y as a function of a if y"" - 12y" + 35y' = 24e", y(0) = 27, y'(0) = 11, y'(0) = 30. y(x) =

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Q: Find y as a function of t if 36y′′+72y′+48y=0, y(0)=3,y′(0)=6.   Help me fast.I will give good…

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Q: The point on the curve y=vx+2 which is closest to the point (5,2) is

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Q: What is T3 centered at a = 3 for a function f such that f (3) = 9, f' (3) = 8, f'' (3) = 4, and f'''…

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Q: (3) Sketch a curve y = f(x) that satisfies: f(0) = 3, and dy dx -2. What is f(x)?

A: The function y=fx that satisfies f0=3, and dydx=-2. We have to find fx and sketch its graph.

Q: Use the graph attached. The linear function is f(x). The quadratic function is g(x). Use the…

A: Let us assume two functions f(x) and g(x) such that f(x) is a linear function with a negative…

Q: (a) Use integration to find an expression for f (t). (b) Find the time taken for the cyclist to…

A: Given expression for f'(t)and the initial condition, f'(t)=4t-3, f(0)=11

Q: If f is an odd function, why is S, f(x) dx = 0?

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Q: Jack drives east away from Hilltop bakery at 60 mph while Jill drives toward the bakery at 40 mph…

A: Given that,

Q: Let Find f(x)|x=7 = y = f(x) = ( 2 ) ²³ d dæ f(x)\x=7² sin x.

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Q: dy Q5: - Find for the following functions: dx 1) y = 3x? – 2Vx+ 2) y = (x – 3)(1 – x) 3) y =-t +

A: In the following steps we can find out the derivative of the function with respect to x

Q: Find f(x) if y = f(x) satisfies dy dx and the y-intercept of the curve y = f(x) is 2. = ƒ(x) = = 104…

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Q: 4). Let T: R4 → Rª be a linear transformation defined by T(x, y, z, w) = (x+z+w, -3x+3y+tz+w, -x+…

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Q: Q3) for f(v) = sec2 (3v-1) and g(v) = tan2(3v- 1) show that %3D S(v) = g'(v).

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Q: d?y Find the curve, y that satisfies the conditions %3D dx2 = 6x; the line y = 5 - 3x is (b) tangent…

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