Write the given expression in terms of x and y only. tan (sin ¹x + cos -1 x+cos¯¹y)

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Q: 11) The number of acres in a landfill is given by the function B = 2900e-0.05t, where t is measured…

A: As per our guidelines,  we can answer only first question . Kindly repost rest question separately.

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A: Here,  we have to express Ax as a linear combination of the column vectors of A.

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A: To find the following limits:i. ii.

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Q: 8.1.11 Suppose that the set An, is denumerable for each n E N. We may then list the elements of each…

A: where We have to show that  is countable

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A: 3. Given that the function is                                           To describe the…

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Q: Compute the Jacobian at the point indicated. G(u, v) = (v ln(u), u²v-¯¹), (u, v) = (1, 8) (Use…

A: Introduction: The Jacobian of a function with respect to a scalar is the first derivative of that…

Q: In Problems 11-16, determine whether the given vector field is a conservative field. If so, find a…

A: The  given function is  -Comparing  the  given equation with  the  equation of the  form: +we get,…

Q: A Determine whether each x is an eigenvalue of A. -3 [ 5 a. x=(4,4) b. x=(-8,4) C. X=(-4,8) d.…

A: The given matrix .The objective is to find the eigenvalues of the matrix .

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A: We have to calculate the sine Fourier series of

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Q: (a) (b) (c) Produce the function f(t) of the waveform. Produce the Fourier series solution, f(t)…

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Q: sin = 11 3π 60, π< 0 < ³7. Find cos s() in exact form and simplify.

A: sin = -11/60And here angle lies between 180 to 270

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Q: ). With respect to B₁ defined in Q9, let B3 = {2, x - 1,1−x²}. Calculate [Id] B3 and the inverse of…

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Q: 1. Let F(x, y, z)=x²+4x2+2yz². What is the direction of fastest decrease of Fat (1,2,-1)? (a) (b)…

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Q: Consider the surface defined by the collection of points (x, y, z) = R³ such that 3xz5 + xy +z = 4.…

A: The solution to the above question is  by using a theorem of calculus.

Q: y' = (2+x)(5 + y) 1. Find all three critical points. 2. Linearize the system about each critical…

A: The differential equations are as follows:

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Q: Question 10 A 13-foot ladder is leaning against the wall. The height of the top of the ladder to the…

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Q: ( کے Consider the initial value problem a. Form the complementary solution to the homogeneous…

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Q: 8. Given that a particle follows the path r= (t²-10t)i + (4t + 2)j + tk at what point is the…

A: Let us use the formula for tangential acceleration.

Q: could you please provide a walkthrough for the second question?

A: In this case,Trough is filled to a depth of 1.5m only. So  we can  find the required force by…

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A: We have to find the volume of the region bounded below by the plane  and above by the sphere

Q: 3 Given that cosx = -- of cos (x - y). 24 - where ≤x≤ and siny = -5 where ≤ y ≤ ³. Determine the…

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Q: In each part of Exercises 5-6, find the characteristic equation, the eigenvalues, and bases for the…

A: Note that : Since you have posted multiple questions, we will provide the solution only to the first…