Find the arclength of y = 2x/2 3/2 on 1 < x < 3

Q: Using integration by parts, the integral Vx In x dx equals:

A: Given ∫1ex lnx dx To evaluate integral using by parts rule

Q: etermine if the integral is convergent or divergent. valuate the integral if it is convergent. Suppo...

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Q: 5. [e2y sec ey tan eY dy

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Q: 1+ 2t Find the laplace transform of (i).

A: To find the laplace transform of the folowing function.1+2tt

Q: Jertical asymptotes at x = -4 and x = 3. x -intercepts at (1,0) and (5,0) ot mol h y -intercept at (...

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Q: Find the global minimum of the function f (x) = 1+x² on the interval [1, 10] . Write DNE is there is...

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Q: 6 The coefficient of Sin(x) in the antiderivative of F(x) =|cos is Blank 1 (use fraction form not de...

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Q: f (x) = x(x + 3)² %3D , Find a so that f'( a ) = 0. Hint. Use the product rule. there are two soluti...

A: The given function,       f(x)=xx+32

Q: Find lower bound for f(n) = 5n².

A: To find the lower bound for f(n) = 5n2

Q: Suppose that f(x) 0 for all a in the interval (-1,1). If lim f(x) = L, then %3D L> 0. For those who ...

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Q: Jeremy purchases a boat for the price of $31 950. The boat depreciates in value by 19% per year. The...

A: Here we will find the asked quantities,

Q: Evaluate the definite integrals (give exact answers): 3 a) | (2x +3)(x – 5)dx 2 1 - (2³ – 2x² + 1)dx...

A: a) ∫23(2x+3)(x-5)dx ∫23(2x2 -10x +3x -15)dx ∫23 2x2 -7x -15)dx [2x3/3 -7x2/2 -15x ]23 18 - 63/2 -45 ...

Q: x² +2x +3 dx x' +3x² + 9x A In Ix³ + 3x² + 9xl + C ! In Ix3 + 3x2 + 9xl + C 4 3. D 2 In I x3 + 3x² +...

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Q: The derivative of the function y = log2(In(x)) is:

A: We can find the correct answer as below.

Q: Use integration by parts to evaluate the integral: for 9t sin(t)dt

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Q: Determine the slope of the tangent line to the graph of ƒ (x) =- at the point(4, -4).

A: Use differentiation for finding the slope.

Q: Using integration by parts, the integral 2 f cot-1 x dx equals: 2 x cot-1x + In|x² + 1| + C - x cot-...

A: Topic = Integration

Q: The cost function for production of a commodity is given below. C(x) = 352 + 23x - 0.08x2 + 0.0005x...

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Q: 8a-4 Identify all the points of discontinuity of the function f (x) = [f(x)=(8x- (4x3-) 4)/(4x3-x)]....

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Q: ; find value of matrix A eigen -2 A %3D 2. 2.

A: I am attaching image so that you understand each and every step.

Q: 12. y = x2 – 2x + 3, x – axis, x = -2, x = 1 a. 30 sq. units b. 20 sq. units c. 15 sq. units d. none...

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Q: The given point P is loc the angle e, also sine, V3 1) P Quad: sin 0: cos e: tan 0:

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Q: Which of the following functions is continuous on -5,4)? For those who have trouble viewing the Math...

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Q: 1. Below is the graph of f (x) = |x|. Using the left side of the function with the equation y =- x, ...

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Q: Using an appropriate substitution, eXsec²(e*) the integral S dx equals: e-tan(e*) - Inle – tan(e*)I+...

A: This question is based on indefinite integral.

Q: Trace the curve of the following equations by giving the a. Intercepts b. Symmetry c. Vertical Asymp...

A: Equation of a curve is giveny2=2x4-5x3+3x2+4x-20x2-3x+2

Q: 4. A certain travel agency offered a tour that will cost each person 1,500 pesos if the participants...

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 10x² an...

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Q: 1. Find the derivative for each of the following functions Simplify and factor when possible! a) g(x...

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Q: 2 If F = 3.k, find the flux through surface Sin this figure: y 32. 2 (A) 5.68 (B) 6.00 (C) 7.50 (D) ...

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Q: 12 3 3. Evaluate the integral ||xy (x² + xy + yz* kixdydz . ху 0 0 1

A: We have to find the value of the given triple integration 

Q: Exercises: Find the general solution of the following differential equations 4) y"+2y'+y=3e*

A: Given

Q: Q2 a. Solve the nonhomogeneous differential equation: y" -5y" -6y' = 3e2*

A: The given differential equation is : y"'-5y''-6y'=3e2x. Repost the next part. 

Q: 3-VE For dz, z = 2+vz

A: Given,             ∫3-z2+zdz

Q: lay De recoraded Vià ány device capable of producing a digital video file, or can be recorded direct...

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Q: 5 and 6

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Q: Using an appropriate substitution, gtan-1 x the integral S dx equals: 1+x2 gtan-1x + C 4 tan-1x + C ...

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Q: Question 16 Find dy/dx at the given point without eliminating the parameter. X=0 + cos® and y=1+ sin...

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Q: 2udu = 3 u? – (u²)?

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Q: xp, 10. S

A: ∫ 7e-xdx/ex ∫ 7dx/e2x ∫7e-2xdx 7e-2x/(-2) +c -7e-2x/2 +c  

Q: B: Determine the center and radius of the following circle: 2+ y?-3x+10y-1=0

A: As we know that; The standard equation of the circle; x-h2+y-k2=r2 Where; center: h,kradius=r   Give...

Q: 2. Complete the following tables of values to investigate lim f(x) f(x) -1 -0.8 0.75 -0.35 0.45 -0.1...

A: solution

Q: Solve the differential equation (y4 - 2xy) dx + 3 x2dy = 0. If y = 1 when x = 2, determine the pri...

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Q: A potato is launched vertically upward with an initial velocity of 121 ft/s from a potato gun at the...

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Q: A rectangular box having a square base and open at the top is to have a capacity of 16,823 cubic cen...

A: suppose the side of the box = x cm.height= h cm.Given : Volume  = 16823 cc  

Q: Evaluate the given definite integral by any applicable method. * 10. 1dx 32 b.- 15 32 с. 15 15 d. no...

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Q: Evaluate the following integral sin(2z) dr.

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

Q: 36x2 + 25 dx x2

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Q: 1. Find the sum of the first 13 terms of the geometric sequence shown below. 2, 8, 32, 128, ....

A: 1.  The geometric sequence,  2, 8, 32, 128,......2.first term, a=2common ratio, r=-1

Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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