Find the arc length parameter along the given curve from the point where t= 0 by evaluating the integral s(t) = dt Then find the length of the indicated portion of the curve r(t) = 4cos ti+4sintj+ 10t k, where 0sts-

Q: dy da

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Q: The angle between the vectors = (6, -2, 3) and 7= (1, p, -2) is cos Determine the value of p.

A: Given:  The angle between the vectors a→=6, -2, 3 and b→=1, p, -2 is cos-1-114. To Find:  To determi...

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Q: 25 1. If cscy = 24 %3D

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A: Explanation of the answer is as follows

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

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Q: +00 1 9n? – 18n + 8 n=1

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Q: 2x+3 (1) Find the domain of the function H(x)= x' -4x

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Q: Question Select your answer. x + 2 Find the derivative of f(x) = with respect to x. 3x 2 9x 2x – 6 9...

A: Solution:

Q: Given the following matrix and its eigenvalues 3 4 6 -7 1. Find the two eigenvalues for the matrix 2...

A: Given

Q: Determine Increasing/Decreasing and Concavity Mar 20, 9:26:08 PM Watch help video Given the function...

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Q: The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tange...

A: We have to find the values of x for which f(x) has horizontal tangent.

Q: Find ag and an for the following geometric sequence. a4 = 8, r= - 2 Find a, for the geometric sequen...

A: The objective of the question is determine the a5 for the geometric sequence.

Q: You want to build a 1100 square foot rectangular infinity pool. Three of the sides will have regular...

A: Topic:- algebra

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A: We have to check weather the given series is convergent or divergent.

Q: Related Rates - Rectangles Mar 20, 9:02:57 PM Watch help video A rectangle has a length of 7 inches ...

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Q: 3sin(x) lim tan(2x)

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Q: Consider the following. 1+ e2x + 1 = 15 (a) Find the exact solution of the exponential equation in t...

A: Topic = Algebra

Q: When the price of a certain commodity is p dollars per unit, the manufacturer is willing to x hundre...

A: Given query is to find the rate of change of supply.

Q: O Watch help video A particle moves along the x-axis so that at time t 20 its velocity is given by v...

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Q: 77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a differentiabl...

A: Consider a function y = f(x) .Then f '( x0) is the rate of change of y with respect to x at the poin...

Q: I Find the second derivative (y") of the following functions and simplify the final results. 6. y = ...

A: Topic:- derivatives  Note :- as per our guideline if more than one question uploaded than only first...

Q: Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 4 2 1 2 4 3 1 3 2 4 4 2 1 h'...

A: Find h'(1) if  a) h(x)= f(x).g(x)  b)h(x)=f(x)/g(x)  c) h(x)= f(g(x))   Where , f(1) = 3 , g(1)= 1, ...

Q: Determine whe ther the series is Convergent or divergent.write the exact test that you Use. n=2

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Q: Given the function f(x) = +x° + x° + 2%x*, find all x-values where f has an inflection point. 6. Ans...

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Q: Use differentials to estimate the amount of material in a closed cylindrical can that is 10 cm high ...

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Q: Evaluate the series or state that it diverges. 00 3 Σ (0.4)*. k= 0 ... Select the correct choice bel...

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Q: 7. Read about the Integral Test in Section 11.3 and, specifically, through example 2 to see how the ...

A: Given problem:-

Q: 10- y 8- 2-

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Q: Question Find an algebraic expression equal to csc(cot (4x)). (You may assume that - < cot-" (4x) < ...

A: First we let cot-1 (4x) =thetha Then we using csc2 x=1+cot2 x

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A: Given query is to find the amount after 8 years.

Q: Find the exact value of cos20 given sin0 =- and 0 < 0 < 13

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Q: Is the differential equation linear? y' = y + ey

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Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem...

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

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Q: Write the first five terms of the arithmetic sequence. a1=3, d=6

A: Let's five terms of arithmetic sequence are a-2d,a-d,a,a+d,and a+2d Then a-2d=3 ,d=6 a=3+2×6=3+12 a=...

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A: Solved below

Q: This exercise uses the population growth model. A certain culture of the bacterium Rhodobacter spha...

A: A)n(t)=n0 2taAt t=0,n(0)=1515=n0 20n0 = 15The bacteria doubles every four hours;At t=4 hours, 2(15) ...

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Q: A rectangular plot of farmland will be bounded on one side by a river and on the other three sides b...

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Q: x5+x-1 4. S**- dx x3+1

A: A detailed solution is given below

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Using f(x) = In(3 – 2x), list the Maclaurin series expansion (e.g., f(O)x, f(1)x, f(2)x,f(m)x and f(...

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