Consider the space curve "(t) = (−5t + 4, −5t - 3,5t + 4). a. Find the arc length function for r(t). s(t) = b. Find the arc length parameterization for r(t). r(s) =

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Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x³ -…

A: Given function Slope of the secant line between  is given as follows

Q: Question 1.24) Yet another bunch of these... A) lim xcotx 1-40 sec 3x C) lim (cos(1)-1)(cos(r)+1) 1…

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Q: Give an example of four sets A, B, C and D such that (AUC) x (BUD) ≤ (A x B) U (C x D).

A: The set A is a subset of B if every element of A is in B

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Q: Given lim f(x) = = x →8 lim (5f(x) — 4g(x)) = x →8 lim__(5 – 4ƒ(x)) = - x →8 lim x →8 3…

A: According to bartleby guide linewe do only first three parts of multiple questions.Given,

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

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Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 5+ 4 3 x →3 32 2 1 f(3) -1 -2 -3 A Determine…

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Q: Math 216 Homework webHW1, Problem 8 Find the solution to the initial-value problem Then put the…

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Q: Match the description of the activity in the answer bank to the day component where it occurs.

A: Here's how the activities match the day components:

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Q: S -3 X -dx Select one: 0-31n|x + C 0-3log|x + C 0 - 3x + C 3ln|x + C 3log|x + C

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Q: (a) Evaluate f(-4) (b) Evaluate f(-5) (c) Evaluate f(3) (d) Solve f(x) = 5 (e) Solve f(x) = -2 (f)…

A: We solve the given problem using the given graph.

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A: Slope of tangent is given by derivative at that point.

Q: 9. Find the lim (√9x² + x − 3x) X00

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Q: (4) A soft-drink vendor at a popular beach analyzes his sales records, and finds that if he sells z…

A: A soft-drink vendor at a popular beach analyzes his sales records, and finds that if sells x cans of…

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Q: 11. Use definition (1) (p. 133) to find the slope of the line tangent to the graph of f(x) = -5x + 1…

A: for the given question

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Q: Find y as a function of a if y(0) = 6, y'(0) = 24, y"(0) = 108. y" + 36y' = 0,

A: y′′′+36y′=0y(0)=6,y′(0)=24,y′′(0)=108.The characteristic equation…

Q: ts) Graph the following function f(x) = (-x if x < -2 x² if-2 ≤ x < 2 (3 if x ≥ 2

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Q: 1. Read pages 46 - 54 Section 1.5 Continuous Functions in your textbook and take notes below by…

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Q: 12. What type of discontinuity does the function f(x) = x²+x-6 x²-x-2 has at a=2?

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Q: Q2: Find the absolute maximum and minimum of the function f(x, y) = x² + y² on the closed triangular…

A: To find absolute maximum and minimum?

Q: How long will it take $2,000 to grow to $8,000 if it is invested at 6% compounded monthly?

A: The compound interest formula to find the amount after t years is here r is the interest rate.p is…

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A: f(x)=2sin⁡(x)+sin2⁡(x)

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Q: 44. (a) Find all vectors v such that (1, 2, 1) X v = (3, 1,-5) (b) Explain why there is no vector v…

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Q: 47. f(x) = (2x + 1) (3x² + 2)

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Q: Prove that if f(x) and g(x) are continuous at a and c is a constant, then the function cf(x) + g(x)…

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Q: Consider the function f whose domain is included in [3,24] for which we have the sketch of y = f(x)…

A: According to guidelines,  I can answer one question and three subparts of a question. Since part 3…

Q: EXAMPLE 4 Video Example Find the derivative of the function f(x)=x²-9x + 8 at the numbers (a) 5 and…

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A: The number of gas stations is proportional to the population raised to power of 0.77.a) Writes a…

Q: Which of the following are true statements? Mark all that are true. ƒ(x) = 0 0 0 0 lim_f(x) = 8…

A: find true statements from given statements

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A: Signs of quadrantsGiven Here Solution : 3rd quadrant of yz-plane.

Q: Find the slope of the secant line between x = 2 and x = 5 on the graph of the function f(x) = 2x² +…

A: Find the slope of the secant line between x=2 and x=5 on the graph of the function

Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

A: length of the vector

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Q: Find the limit. (If the limit is infinite, enter 'co' or '-co', as appropriate. lim √x+ 2x² 9x1…

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Q: Let f(u) = u and g(x) = u = 6x5 +6. Find (f o g)'(-1). (fog)(-1)= (Type an exact answer.)

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Q: Find a particular solution to y" + 6y + 8y

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Q: 3. Find the indicated limits. Exact values are required, not approximations. Be sure that your…

A: In this question, we will find the limits of the given functions.

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.