h that y(t)=x(t)h(t) (1

Q: Find the directional derivative of f at the point (, 1) in the (V3, –1). (Hints : (a) It is faster…

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Q: Express the equation in Heaviside Function

A:

Q: Find L[f (t)] where f(t) = eat and a = constant

A: Solve using Laplace transferom

Q: Find d2y/dx2 as a function of t if x = t - t2 and y = t - t3

A:

Q: 07.

A: The function f(t) is defined as    ft=t,           0≤t<2,2,          2≤t<5,7-t,…

Q: Find the maximum rate of decrease of f at the point (, 1). (Hint (a) Because we are talking of the…

A: The given function is: f(x,y)=esin x y

Q: Estimate the IROC for the function f(t) =Ax) = x² – 20x

A: Given: fx=x2-20x To find the instant rate of change, Differentiate the given function with respect…

Q: What curve is described by the function (t) = (2t + 3) + i(t - 5), 0 ≤ t ≤ 1

A: Step:-1 Given parametric function is ft =2t +3 +i t-5,  0≤t≤1 Here,  x=2t +3  ---(1)y=t-5  ---(2)…

Q: 11. Given f(x)-4x+2 and g(x)=x^2 + C, find C such that g(x) is tangent to f(x). a. 4 b. S C. 6 d. 7

A: Let's find C value.

Q: Find y as a function of x if x²y" +5xy - 12y = x², y(1) = −9, y(1) = 9. y=

A: We have to find as a function of .

Q: Find R(t) if R′(t)=⟨sint3,cost2⟩ and R(π)=⟨12,12⟩.

A: According to the given information it is required to find R(t).

Q: Assume that y is a function of x. Find (d2y)/(dx2) for x2y-y2-2(sqrt x)+4=0 at point (1,2) 7/6 8/6…

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Q: Let y be a function such that y(1) = -9/4 , where Y(s) = L {y (t)}. If it is known that:…

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Q: 2 f 2 f Consider the function f(x, t) = (x - ct)4+ (x + ct)4 where c is a constant. Calculate Əx²…

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Q: Find the value for X, such that the function f(x, y) = x ln(x+y) satisfies f X fa- fy+Xfay - fax -…

A: Consider the function fx, y=xlnx+y. To find the value for λ such that the function fx, y=xlnx+y…

Q: Determine the domain for each of the following functions and sketch the domain. (a) f(x, y) = /T– g²…

A: Set of all possible inputs for the function is called the Domain a the function.

Q: A particle is moving along the x-axis with position function x(t). Find the (a) velocity and (b)…

A: given that the position function x(t)=-t3+3t-8

Q: Find the domain of  R(t)= (t-sint)i+(1-cost)j  For 0=<t=<4pi

A: Given Rt=t−sinti+1−costj We have to find the domain of Rt=t−sinti+1−costj for 0≤t≤4π Since, t−sint…

Q: For f(x) x2, wr F(Xth

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Q: f'(t) = tf(t). HINT: Write f'(t) – tf(t) = 0 and multiply the equation by e-2/12.

A: