Find the equation of the tangent to the curve y=xcosx at x= 7. Use exact values in your answer f applicable

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A: Area(A)=∫-21x2-2x+3 dx

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A: The given series,             ∑n=1∞ln2n+1-ln2n-1

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A: Topic:- algebra

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A: topic - application of derivatives

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A: The given function,  f(x)=4cos-1x2,if -2≤x&lt;0x3+2πx-16,if x≥0, x≠1

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A: Rate of change of salt concentration = difference of inflow salt concentration and outflow salt conc...

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Q: PERFORMANCE TASK Carl and his friend James are having trouble using the different methods for findin...

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A: Since there is no Sen function existed in math, the problem has been solved assuming the given curve...

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A: Solved below

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A: topic- application of derivatives

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A: Given:-u=92i-92jux=92uy=-92θ∈[0, 2π)

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A: The given DE is: x5y'+6x4y=ln(x)x...(1) x&gt;0 &amp; y(1)=5

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A: Given region bounded by y= sinx  from x=0 to x=1.4 

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A: First draw the curve then use the disc method to find the solid obtained. 

Q: Given the following matrix and its eigenvalues -27 3 2 1. Find the two eigenvalues for the matrix 2....

A: a) Eigenvalues: λ1=5λ2=-5 b) Matrix of eigenvalues For λ1=5 -773-3 For λ2=-5 3737  

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A: We will use Pythagoras theorem .

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A: Given query is to find the graph of the derivative.

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Q: Given the matrix and its eigenvalues 2 27 0 0 4 40 has eigenvalues R, = 2 and R, = 34 and R, = 0 II ...

A: Solution is written in below steps.

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Q: 5. Find the largest constant r so that o(x) = e"" is a solution to y"-2y"-y+ 2y = 0. -5 O 2 O 7/2

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Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: We will solve this question using limit of comparison test.

Q: +oo Inn n2 n=2

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Q: B. Use the properties of continuity to determine where each function is continuous. 1. f(x) = 2x-x3 ...

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as...

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 4 2 1 2 4 3 1 3 2 4 4 2 1 h'...

A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

Q: 3.) Find y': Given: y = coth NIK

A: Since you have asked multiple question, we will solve the first question for you as per our guide li...

Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the x-...

A: Let's find. 

Q: dy given the equation a+y° = e. dz Use implicit differentiation to determine dy %3D dz > Next Questi...

A: dfx±gxdx = d(f(x))dx± dgxdx dxndx=n.xn-1 dexdx=ex

Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: 茂 cos x dx = 0 COS Select one: O True O False

A: This question is related to definite integration, we will solve it using given information. 

Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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