Find the arc length of the curve below on the given interval by integrating with respect to x. 1 : [1,4] 8x y = The length of the curve is D. (Type an exact answer, using radicals as needed.)

Q: logarithms to find an exact solution for   ln(5)+ln(5x2−3)=ln(154).   If there is no solution, e...

A: Given query is to find the value of x.

Q: Evaluate: x?sin2x dx A - 2x?cos2x+2xsin2x - cos2x +C 4 2x?cos2x - 2xsin2x+ cos2x -+C B 4 2x?cos2x + ...

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Q: Express the area of the region bounded by the given line(s) and/or curve(s) as an iterated double in...

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Q: x2sin2x dx Evaluate: - 2x?cos2x – 2xsin2x + cos2x +C A 4 -2r?cos2x + 2xsin2x – cos2x C None of the g...

A: We can solve as follows

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A: This question is based on application of derivative.

Q: ) Let w = xe/z, where x =t², y = 1-t, and z = 1+ 2t. Use the chain rule to dz find . (Write your ans...

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Q: Use the functions below to find the given value.

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Q: The integral expression: | Ocos20 d0 can be evaluated by parts of the form: udv vdu . =uv – The prod...

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Q: Consider the function. x+ 7 x) - (a) Find the imverse function of r. X-1 (b) Use a graphing ublity t...

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Q: NTEGRATE THE FOLLOWING (use integration techniques) - S sin rsin4rdx

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Q: The management of Porter Airlines finds that its monthly marginal revenue can be approximated by R(x...

A: Given that the marginal revenue of Porter Airlines is R'(x)=0.96-0.0064x -(i)where x is the average ...

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A: We have to find value of given indefinite Integration.

Q: Which of the following best describes the function below? S (x)={* -4 ifx<2 Wr-2 if2sx if 2<.x A. Co...

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Q: Determine if the series n (-1)³n n4 +1 n=1 absolutely converges, conditionally converges, or diverge...

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Q: Determine from the graph whether the function has any absolute extreme values on the interval [a, b]...

A: Topic:- calculus

Q: integral of:

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Q: Use logarithmic differentiation to find the derivative of y. y= cos X-3x + %3D

A: We can find the derivative using logarithmic differentiation as below.

Q: 2. Sketch the region whose area is given 25 by the definite integral Jo V25 – x² dx and then use a g...

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Q: Question 5 Evaluate the double integral over the given region. 8x sin xy dA, R:0 sx <T, 0 <y s1 7C 8...

A: Given that, The integral is following, ∫∫R8xsinxy dA R : 0≤x≤π, 0≤y≤1 We have to find the value of t...

Q: Match the integral expression on the left to an equal expression on the right. cos(7x))dx + cos( (x)...

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Q: Find the value of f' () if f(x) = 2csc3x. 15 Your answer

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Q: Suppose f " is continuous on (-o, o). (a) If f '(-3) = 0 and f "(-3) = -9, what can you say about f ...

A: Given that, (a). f'(-3) = 0  and   f''(-3) = -9 (b). f'(5) = 0  and   f''(5) = 0 We have to choose c...

Q: Evaluate: ,(3y – 8y* + 9y²)dy | -2

A: let I = ∫-223y6-8y4+9y2dywe know that ∫-aaf(t)dt = 2∫0af(t)dt

Q: Evaluate: S,(3y6 + 8y* – 9y?)dy 2

A: ∫-223y6+8y4-9y2dy

Q: Evaluate the integral using appropriate substitution. an NOTE: Enter the exact answer. tv 6t2 + 5 dt...

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Q: dy There is no need to simplify. dx 2. Find cos- (sin x) – sech(tan-x) a. y = ecosh a

A: Find your answer below 

Q: An inverted pyramid is being filled with water at a constant rate of 75 cubic centimeters per second...

A: The rate at which water level is rising when the level is 5cm is 25cm/sec.

Q: Find the area of the triangle with vertices P(1,2, –3), Q(0,0,0) and R(3, 5, 1). NOTE: Enter the exa...

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Q: Determine the value of f(3) if f(x)=60 (1-e^-0.1t).

A: Given query is to find the value of f(3).

Q: Find 2x dA over the region R = {(r, y) | 0<z< 4,0 < y < 6} by identifying it as the volume of a soli...

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Q: . Find the first, second, and third derivative of function f(x) = 3x5 – 2x³.

A: Topic:- derivatives 

Q: Amy raises ducks, and she takes their eggs to the farmers' market to sell. Today she collected 19 do...

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Q: • 2b 26² – 12 2a2 dx a³ +b?x+3x²+3b² - - Evaluate

A: Solution: Apply linearity -2∫b2bx2+6x-b2x3+b2x+3x2+3b2dx   .............................(1)

Q: 1. sin

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Q: Use the formula for the binomial series: m(m–1) ,2 + (1 + x)" = 1+ mx + 2! m(m–1)..-(m-k+1), k! %3D ...

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Q: Column A 1. xy = 2 _2. 3x?y – x = 5 _3. 3y(y – 10) + 24x = 0

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Q: 1) 土七 COS ant5 Sinant3 an: 2then fird the m lim 3) D. Ehmit does not exist

A: Given query is to find the limit of the expression.

Q: sin2x de Evaluate:

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Q: Use linear approximation, i.e. the tangent line, to approximate V16.I as follows: Let f(x) = Va. Fin...

A: L(x)=f(a)+f'(a)(x-a)

Q: Maximum Volume A package to be sent by a postal service can have a maximum combined length and girth...

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Q: 20 -1 3. sin

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Q: Given the following multiplication problem -0.3-0.6i -0.6 0.75 0.3-0.6i| V, Perform the multiplicati...

A: topic- matrices

Q: rotated about the x- axis

A: Solution is here 

Q: 3. The Cartesian coordinates of a point are given. (i) Find polar coordinates (r,0) of the point, wh...

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Q: Gravel is being dumped from a conveyor belt at a rate of 10 cubic feet per minute. It forms a pile i...

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Q: *xsin-'xdx The antiderivative of is x-V1-x2 sin-!x+C A True (B) False

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Q: Evaluate the sums. а. 4 k=1 7 b. -2k k=1 7 > k(2k + 1) с. k=1

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Q: xy = 2

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

Q: If f(x) = 6 cotlx + 8, then find the value of f'(-2) is %3D -2 -8 V5 8. OO O

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Q: x3 2. J Sadx 2. 3.

A: