Find the tangent line approximation 7 to the graph of f at the given point. Then complete the table. (Round your answers to four decimal places.) f(x) = csc(x), (6, csc 6) X 5.9 5.99 6 6.01 6.1 T(X)

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A: Use the application of derivative and find the maximum volume.

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A: r1(t)=cos(t)i+sin(t)j+5tk,r2(t)=4i+tk,r1(t).r2(t)=(cos(t)i+sin(t)j+5tk)(4i+tk)r1(t).r2(t)=4cos(t)+5t…

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A: To evaluate the value of given integral.

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A: limx→1-log12(x+3)1-cosh(cos-1x)=limx→1- log2-1(x+3)1-cosh(cos-1x)since, limx→af(x). g(x)=limx→a f(x)…

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A: We can identify the center as below.

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A: We can solve this as follows:

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A: If w=f(x,y,z) and x =g(t),y=h(t) , z=u(t) then,    dwdt =∂w∂x.dxdt+∂w∂y.dydt+∂w∂z.dzdt. Note : As…

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A: Let the differential equation is of the form Mx, y dx + Nx, y dy = 0  ...........(1) If Mx+Ny≠0 and…

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A: Given that    f(x) = (3x2-20x+25)/(2x2+1x-1)

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A: To write TRUE if the statement is correct, otherwise to write FALSE. Suppose that hx is continuous…

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A: Since you have asked multiple questions in a single request we would be answering only the first…

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A: Solving the problem by finding the value of P(x)

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Q: b Sx³sin(2x)dx= [x²s(2x) dx = 27x²³ - 24 W 64 Given : Find bif s sbst

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A: A vector perpendicular to A and B is :  C = A x B

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A: Given problem:-

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Q: 1. Evaluate the following limits. L'Hopital's rule is NOT allowed |2x - 1| tan-¹(¹) 2x - 1 . lim…

A: LetL=limx→ 0-2x-1tan-11x2x-12x-1 is negative when x→ 0-.  Therefore 2x-1=-(2x-1)L=limx→…

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Q: e2x+Inx² sin x² dx -+fe²x cos x² dx

A: This is a problem related to integration. Based on the general formula we will solve the problem.