Find the length of the curve over the given interval. Polar Equation Interval r = 8a cos 0 16 16.

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A: We have to tell whether it is true or false

Q: What are the local extreme values of the function f(x) = = x' + 6x + 2? a. Local maximum at (-2, 6);…

A: The given function is;  f(x)=x3+6x2+2.

Q: The function x2 f(x) 1 - x | has a local maximum when x = 2. Select one: True OFalse

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A: Given that a function f(x)= x2 + ax + b . And local maximum at point (17,-5) we find the value of a…

Q: 7. Determine whether the given integral is convergent or 1 dx? x*+1 divergent Page of a. convergent…

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Q: Question There are two lines through the point (−1, 3) that are tangent to the curve x^2 + 4y^2 − 4x…

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Q: at is the absolute maximum value of = x - 3x? on the e function f(x) erval [-2,4] ? а. —20 о b. 16

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Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: we have given the graph of the function f, it has local minima at x=2 (as it has minimum value in…

Q: 3) solve: y'-Hef't 44=HC032t; y0)=2, qla)== using Laplace treensform |

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Q: 3. Evaluate: lim ( ) X-0 sinx

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Q: please answer number  2 and follow the format of sample solution (include the rules/techniques used)

A: Here we have to find the integral

Q: The graph of a function f is given below. According to the graph, the derivative of the function…

A: To determine whether the given statement is True or False.The graph of a function f is given below.…

Q: Vectors a and b have lengths 2. If Ja + b | = V7, determine the exact value of Ja – b|.

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Q: Use Simpson's rule with interval h = 1 to determine the approximate value of ở V(I + x³ )dx. Give…

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Q: 3. dx

A: Integral CalculusExtension of power formula

Q: 4 x 1 dx Vx+9 6+,

A: To evaluate: I=∫4xx2+9dx

Q: n f (x) = 6x² – 5x - 6 and g (x) = 2x + 8, find (g %3D - А. — 61 - В. 61

A: Please refer to the image below

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Q: The answer seem to be incorrect. By the way, this is a calculus question and not physics. The…

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Q: For the following function, find its inverse. f(x)= In(5x – 8) - a. f'(x)= (e* - 5)/9 b. f'(x)= (e*…

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Q: Choose the correct graph for y = cos x with the domain indicated: y= cos x, -2Asx<

A: Given, y= cos x -2pi&lt;=x=0

Q: . Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. %3D Evaluato 000 A if

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Q: Please do help me with this calculus questions. Please. I need the correct letter of the answer and…

A: The given curves are; y2=x and x-4=0 Now find the point of intersection between the curve and line.…

Q: (e) e3の+2 = 5 In in 3a¥ス= Ins Correc

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Q: -2 is a critical number of the function f(x) = V2x - x². Select one: True O False

A: We can solve this as follows:

Q: dy Solve of y = e2-3+18 In(e2²-30+18 da A. y' e2z²-32+18 (8x3 – 18z² + 85x – 57) B. y' e2a2-3a+18…

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Q: x'dy +xydx x²dy + 2y dx

A: Given problem:- x3 dy+xydx =x2 dy +2ydx

Q: 2" n3 Σ 4"+1 n=1 is convergent or divergent.

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Q: Determine whether the function has a limiting value. Find the limiting value if it exists.  f(x) =…

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Q: 5+5 =64x-1

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Q: How did you arrive at 7200t + 12800t

A: Given ,  Two automobiles start from a point A at the same time. One travels west at 80 km/hr and the…

Q: 5-6 Sketch the region whose area is given by the integral and eval- uate the integral. 5. ". 2 (7…

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Q: Calculus Question

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Q: Parametric Equations. Show complete solutions. 1. Find the equation of the tangent line (s) to the…

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Q: I have never seen this way before, and it is not easy to follow. How did you go from 0 to 1 on the…

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Q: 3.

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Q: 5 Gin Ococodo sin 20 + 3rino-4

A: We will find the integral using the method of substitution.

Q: sin 4.r if r>0 3. Suppose f(r) = {0 if r = 0. Find f'(0) using the definition of derivatives. if r<0…

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

Q: After a person takes a pill, the drug contained in the pill is assimilated into the bloodstream.…

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Q: (i) What are the projections of the point (2, 3, 5) on the ry-, yz- and rz-planes? (ii) Write…

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Q: -1 Differentiate y = sin (sec(4x?)). %3D 82 tan(4a?) sec(422) A. y' 1-sec2 4r2 8æ tan(42²) sec(4x²)…

A: We will find the derivative of the given function in the following step.

Q: Xv16+x dx

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Q: 75° 4 A = (b) 0.4 rad 15

A: Given, theta= 75° Radius(r)= 4 units We know that, Area of sector= (theta/360°)×(pi×r²) Substituting…

Q: 7 - 3 - | 87 23 Find the eigenvectors of the given matrix: 土 i

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Q: Find the differential equations of the following by eliminating the arbitrary constants.

A: Given : y=c1ex+c2e2x+x    .........**We need to find the differential equation of the above…

Q: Differential Equtaion: A thermometer reading 70 degree Fahrenheit is placed in an oven preheated to…

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Q: this was not right the answer  it was wrong

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Q: Find the angle between two vectors a = (3,4, 0) and b = (4,4, 2). cos-l(규) b. cos-() cos-(금) d.…

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Q: Determine the linear approximation of f(x) = x at x = 1. O a. Not in the list О b. у3 3х +2 с. у %3…

A: A detailed solution is given below.

Q: Using binomial expansion, write down the first three terms of the expression below, starting with…

A: binomial expansion, write down the first three terms of the expression below, starting with the…