Set up, but do not evaluate, an integral for the length of the curve. y = x 5 In(x), 1) ax dx LC 1 ≤ x ≤ 4

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Q: Find T, N, and k for the space curve r(t) = (7e'cos t)i + (7e'sin t)j + 4k.

A: Given data:  r(t)=(7et cost) i +(7et sin t) j+4k

Q: 4. About the y-axis y 10 (1, 2) (2, 1) y=x/2 (4,2) y = 2/x X

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Q: the equation. 29. y' - 2y = 1²e²t

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Q: Consider the following equation of a line. 4x + 2 = 0 (a) Find the slope and y-intercept (if…

A: Consider the following equation of a line. 4x+2=0 (a) To find the slope and y-intercept (if…

Q: Decide whether the given functions are inverses. x f(x) x g(x) 5 5 5 5 -6 4 -4 -9 6-2 4-6 -9-4 -2 6…

A: To determine whether the functions f and g are inverses to each other. x fx 5 5 -6 4 -4 -9…

Q: a) What is the coefficient of  x6 in the binomial expansion of  (2+3x)9

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: 3) Given P₁ :x-y-z = | P₁ = 2+1³4 +7=2 Find the parametrization of the intersection of the two…

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Q: Consider the following surface. z = 4x² + y² 9y Let z = f(x, y). Find f(x, y) and f(x, y). 8x fx(x,…

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Q: If f is a function that is continuous on the open interval (1, 4), then f is continuous at x = 3.…

A: Given: If f is a function that is continuous on the open interval (1,4), then f is continuous at…

Q: Find the linearization of the function z = x√√y at the point (7, 25).

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Q: The answer is not clear

A: we need to differentiate the function.

Q: Evaluate the following integral e² dr.

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Q: 3. Evaluate the limits. Determine ±∞ when appropriate. Be sure to show intermediate steps. (a) lim…

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Q: Find an equation of the tangent plane at the given point: F(r, s) = 2r³-2/3, 1 80.5 (1,1) 2=

A: Given equation of surface is F(r,s)=2r31s0.5-21s3 and the point (1,1).

Q: Find the length of the curve correct to four decimal places. (Use your calculator to approximate the…

A: r(t)=<sint,cost,tant>  ,  0≤t≤π4formula for arc length is L=∫ab(dxdt)2+(dydt)2+(dzdt)2dtwe…

Q: . Use Function Transformation to Sketch graph of the function below. f(x)=-3-√(2x - 4)

A: Given: fx=-3-2x-4 The parent function is of f(x): y=x

Q: Find the sum of the given vectors. a = (2, -3), b = (-1,7) Illustrate geometrically. O y a+b y a+b…

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Q: The population of a city is tripling every 7 years. If its current population is 18,000, what will…

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Q: Find c such that the function f(x) = {2x-3 z>c I 1≤c M C is continuous everywhere.

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Q: A developer is considering buying a building for $474,000. She will use a straight-line depreciation…

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Q: 4. y = cos and y = 0.5, for 0 ≤0 ≤ T f(0) = cos 0 -2 0.5 0 -0.5- -1+ + 1 g(0) = 0.5 + 2 3 40

A: Given: Here, we need to find the area between the curves f(θ)=cos θ  and  g(θ)=0.5. Now,…

Q: a. For linear functions, the slope of any secant line always equals the slope of any tangent line.…

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Q: Which of the following is an expression for the arc length of the curve r(t) = over the interval 0…

A: Given equation of curve is r(t)=2t2+1,2t2-1,t3 and interval is 0≤t≤3.

Q: A fluid moves through a tube of length 1 meter and radius r = 0.002 0.0002 meters under a pressure =…

A: Given η = π8pr4νr = 0.002 ±0.0002p = 1.105 ± 2000ν = 0.375.10-9

Q: task 3 SQL alue The task is to: a) Find the maximum area they can fence off? 10 You plan to make a…

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Q: Find the marginal profit function if cost and revenue are given by C(x) = 207 +0.4x and R(x) = 4x…

A: Let's find marginal profit function.

Q: Match the graph with its corresponding function. +++ -10 -5 ņ O g(x) = (x - 3)2 O g(x)=x²-3 O g(x) =…

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Q: Evaluate the integral. Jo 4 dt 16+ t²

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Q: 1. Is the function g(x) = x² + 3x - 10 x-2 r²+3r-10 continuous at x = 5? If so, why, if not,…

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

Q: Find the derivative of ƒ (x) = (x7 − 7x) (x² + 8x − 10). f'(x) =

A: Topic - Derivative of a function We are given that f(x) =(x7-7x)(x2+8x-10) we know…

Q: If z = 8x² + y² and (x, y) changes from (1, 1) to (0.95, 0.9), compare the values of Az and dz. dz R…

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Q: Find all points (x,y) on the graph of f(x) = 2x² - 5x with tangent lines parallel to the line…

A: Given: f(x)=2x2-5x with tangent line parallel to line y=7x+2

Q: A graphing calculator is recommended. Use technology to sketch the graph of the function and find…

A: The given function fx=61+e1x. We have to sketch the graph of the function and find the limits…

Q: The region in the graph shown is to be revolved about the x-axis to generate a solid. Which of the…

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Q: Pls do fast within 5 minutes it's urgent and i will give like for sure Solution must be in typed…

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Q: let f(x) be the function 12x^2-2x+7. Then the quotient (f(6+h)-f(6))/h can be simplified to ah+b…

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Q: If the equation F(x,y,z) = 0 determines z as a differentiable function of x and y, then, at the…

A: Given query is to find indicated derivative.

Q: Determine whether the given vectors are orthogonal, parallel, or neither. (a) a = (-6, 5, 5), b =…

A: according to bartleby policy we do only first part of multiple questions there for please re post…

Q: Find the derivative of f(x) = √7 - 2x. To enter √a, type sqrt(a). ƒ'(x) = [ 80

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Q: x² + A X find the value of A. 3. Suppose that f(x) 1 8' If f'(2) = = where A is a constant.

A: f(x)=x2+Axf''(2)=18d(xn)dx=nxn-1

Q: how would we solve this question? just the answers are given

A: The tangent of -3 has a negative slope since it points downwards It is approximately equal to -1.…

Q: The displacement (in meters) of a particle moving in a straight line is given by the equation of…

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Q: Given f(x) = 4 sin x cos x, find f'(x). f'(x) =

A: Given: f(x)=4sinxcosx

Q: For the function, find the partials fx(x, y) and f(x, y) = (9x² + 3xy + 6)4 (a) f(x, y) (b) f(x, y)…

A: Givenf(x,y)=(9x2+3xy+6)4   We are required to finda. fx(x,y)b. fy(x,y) The following formulas has…

Q: Find the indicated partial derivative. R(s, t) = tes/t; R₂(0, 3) R₂(0, 3) =

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