Suppose r'(t) has units of m/s. Explain why T(t) = r'(t)/ | r'(t) | is dimensionless (has no units) and carries information only about direction.

Q: Consider the following position function. Find ​(a) the velocity and the speed of the object and…

A: This is required solution. May this help you.

Q: Let f(x) = (4e" +h(x)) h(x). Assume that h(2) 4 and h' (2) = 1. Find f'(2). And, find the tahgent…

A: Equation of the tangent line

Q: f(x,y)=xe*/2+275x²y³, then at (1,1) is equal to əx²əy³

A:

Q: Suppose y is a function of x. Find y' given csc-1y + xy = sec 1 y.

A: Given, csc-1y+xy=sec-1y

Q: Find G′(w) if G(w)=5/ 9w^5 +7 sqaure root w. G'(w)

A:

Q: Find the derivative of ƒ (æ) = (8x (8z4 – 32 30)°. f' (z) =

A: Given,

Q: cosh r – 1 · (xª4 + 2) +2). Compute the derivative of y = In | (2x + 1)

A: Given problem:-

Q: ) y = -3 ln x + 3x

A:

Q: Find the equation of the tangent plane to z = In(x²y) – x/ỹ at (-,4).

A:

Q: Let c(t) = (t^3 + 1, t^2 − 4t). Find:(a) An equation of the tangent line at t = 3

A: c(t)=t3+1 , t2-4t

Q: 10) Find the tangent line to the curve 16 1 at the point (4 23).

A:

Q: Find the derivative of the function T(z) = az + b cz + d' numbers such that ad – bc ‡ 0. When is…

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Q: Find the equation of the line that is tangent to the curve r = x In y, x > 0, at the point (1,е).

A: Equation if the line (y - y1) = m(x -x1) D(uv) = uDv + vDu , where D is the differentiation of…

Q: Calculate the derivative indicated in the figure below

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Q: omplex derivative of (Log z)^3

A: Given: log z3 To find: The complex derivative of given function.

Q: The tangent line to the graph of y = g(x) at the point (6, 7) passes through the point (8, 0). Find…

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Q: Find a point on the graph of the curve y = (x - 3), where the tangent is parallel to the chord…

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Q: 4) Determine the equation of the tangent line to the function 2 f(x) = x at the point (3, 9).

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