please answer this with the correct answer. Thanks,  If a = [–1, 0, –3] and b = [3,0,1], find |proj.(a on b)|.   options:   0   −610   1

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A: Here we have to find the equation of tangent line.

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A: y=tan-1(x-1+x2)d dx(tan-1x)=11+x2d dx(xn)=nxn-1

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A: We have to solve given Questions.

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A: The given data is: The center of the circle is C3,-2 Circle passes through the point 7,-4 The…

Q: 4. Prove that d - (csc (x)) = -csc (x) cot (x). dx

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

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A: Given query is to find indicated derivative.

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A: The given function fx=ex+3. We have to sketch the graph of the function.

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Q: 1. y = √1-1² + sin-¹ t 1101 24

A: Given query is to find the derivative of the following n

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Q: If a one-to-one function has domain A and range B, then its inverse has domain and range

A: Given f  be a  one one and onto  function

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A: We have to explain in which case permutation and in which case combination is used.

Q: "J^² Un= 1 + 1 22 3Q P ++ t na Use 11 -1 1-1 n 12

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

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Q: Sove for the differential equation. (9xy - 2y²) dx - (bx² - xy ) dy = 0

A: To solve the following differential equation. 9xy-2y2 dx-6x2-xy dy=0

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Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. (-8)"…

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A: Given query is to the equation of the tangent.

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A: Given query is to find indicated derivative.

Q: Taylor series gen

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A: Given :z=cosx+3yx=5t3 and y=4t

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A: Rate of change

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A: According to question,Given Function,fx = x75

Q: 2 ln (eªt +1) - 2 ln (2) - ln (eat) ot how ·6.² 2 en (eat +1)² y eat

A: let  B=2lneat+1-2ln2-lneatformula used lnxn=nlnxlnab=lna-lnb

Q: 1) State the formula for the arc length and give an example using that formula. 2) Find the length…

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Q: Let f'(x) = f(x) = = 4x √8 - 6x

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Q: -5 10 -5 Match the x-value to the type of discontinuity at that x-value. ✓x=1 ✓x=3 - ✓x=6 10 15 O A.…

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Q: Use differentials to approximate the number ✓ 3.022 +1.972 + 5.992. (Round your answer to five…

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Q: b) Let g(x) = 2√√64 – x² + 32 sin¯¹ Find g'(x) = 8|00

A: g(x)=x264-x2+32sin-1(x8)d dx(sin-1)=11-x2d dx(xn)=nxn-1d dx(x)=12xd dx(a.b)=adbdx+bdadx

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Q: Use substitution to find the Taylor series at x = 0 of the function 3 sin (-x).

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A: We need to eliminate the parameter to find the Cartesian equation of the curve.

Q: Let f(x) = Evaluate f'(x) at x = 4. ƒ'(4) = J 4√x 4x² + 3x - 9

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Q: Use the parametric equations of an ellipse x = 4 cos 0 y = 9 sin 0 0 ≤0 ≤ 2π to find the area that…

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