For the following exercises, find the mass of the one-dimensional object. 224 A wire that is 2 ft long (starting at x = 0) and has a density function of p(x)=x² + 2x lb/ft

Q: A 25-foot ladder is placed against a vertical wall. Suppose the bottom of the ladder slides away fro...

A: Given query is to find the rate are which top of the Ladder is going down.

Q: Se sin 3x dx Using integration by parts, if u = sin 3x and dv = e*dx , %3D what should be du and v? ...

A: We know that, The expression for the integration by parts: ∫udv=u·v-∫vdu   Given: I=∫exsin3xdx

Q: 17, सिद्ध कीजिये कि बिन्दु a-2b+5c,2a 46+7c तथा 3 (UP 2001) समरेखीय हैं, जहाँ a. b. c असमतलीय सदिश ह...

A: Let, the vectors be, u = a - 2b + 5c  v = 2a - 4b + 7c  w = 3c   

Q: 8) If the graph of function f(x)=(1- ax)3/X?crosses its oblique asymptote at x=1/3 determine the val...

A: NOTE: Refresh your page if you can't see any equations. . use the formula 

Q: xy' + (1 + x)y = e* sin 2x %3D

A: xdydx+1+xy=e-xsin2x

Q: Find the equation of the tangent line to the graph of y = 6" at x 1. NOTE: Round the slope to one de...

A: y=6x The point is at x=1: At x=1, y=61=6 So, the point is (1,6)

Q: – Verify the following formulas : a) cosh u dx 1 du vuʻ-1 dx 1 du b) tanhu= ul<1 dx 1-u'dx

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Q: Find an equation of the tangent line to the curve at the given point y = x³ – 3x + 1, (2,3)

A:

Q: Evaluate the limits. Show your solutions. 1. lim lim 3. lim 北主 2.

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Q: Sketch the graph of a function such that lim f(x) = -3,f(0) = 2, ƒ(2) = 5, and lim X-2 doos not oxic...

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Q: 1 + X = 8 1sys 2 4y2'

A:

Q: Graph the function. for -4 <x<-2 for -2 sx<3 5) m(x) = {x V -3 for x23 -10 4 4

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Q: Show a complete solution for each item. Determine whether each of the following functions is (a) con...

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Q: Determine whether the improper integral converges and, if so, evaluate it. (Use symbolic notation an...

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Q: Find f(a + h) – f(a) lim h→0 h If f(m) = m² – 4m + 6 O 2(2a-1) 4а-2 2а-4 2(a+2) None of the Choices

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Q: solve ydx +(x-y)dy=0

A:

Q: The maximum height reached by the ball is Number Units

A: Follow the procedure given below.

Q: Find f(x) from Sat principles, given that flx) is! ら) c)

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Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A:

Q: Problem 5.1 List all the elements of Un for n E {2,3, 4, ..., 12}.

A: Un is a group in which all elements are relatively prime to n and less than n

Q: 4x³y – 15x² – y )dx +(x* +3y² – x)dy=0

A:

Q: 1 (x+ 2) (3x² + 12x + 1) dx + 1) dz (А) (B) 4 (c) 7 (D) 252

A: Topic = Integration

Q: Snip & Sketch O New O ta 同 .. -2x3 g (x) = Væ2+1 Windows lnk Workipace 12:43 PM P Type here to searc...

A:

Q: Find the deri vative. y= tanx sec x t CsC X

A:

Q: 11. A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, using all...

A: Given :- A horse breeder plans to construct a corral next to a horse barn that is 50 feet long, usin...

Q: Use interval notation to write the intervals over which f is (a) increasing, (b) decreasing, and (c)...

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Q: Answer the following questions for the price-demand equation. p+0.001x = 30 (A) Express the demand x...

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Q: Use transformations to graph the given function. 3) p(x) - -3x + 3| - 1

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Q: Jse the price-demand equation below to find E(p), the elasticity of demand. x= f(p) = 20,000 -225p E...

A:

Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line. 

Q: How do I wvaluate f(x) = −2x2 + 4x for f(a+h)?

A: Topic = Functions

Q: A natural gas line runs east-west. A town wants to connect two new housing developments to the line ...

A: Let A and B are the two cities .

Q: Show complete and detailed solution of the differential equations 1. x(dy/dx)+(1+x)y=e-xsin2x

A:

Q: 2 f (x) g (æ) g' (x) 2 -1 1 3 -2 Let f be the function given by f (x) = | (i g(t) dt, where g is a d...

A: Let's find. 

Q: Set up, but do not evaluate, an integral for the volume of the solid obtained by rotating the region...

A:

Q: 2x+x sin 3x lim 5x2 - 2x +1

A: We have to find  limx→∞ 2x + x sin 3x5x2 - 2x + 1.

Q: dy/dx = şeç 2xsec3y seç 2xşeç'y

A: NOTE: Refresh your page if you can't see any equations. . take integration 

Q: Assume that a snowball is in the shape of a sphere. If a snowball melts so that its surface area dec...

A: topic - application of derivatives

Q: y (-1, 1) sin(e) cos(e) ante

A: The coordinate (-1,1) is in second quadrant in the below figure. The perpendicular is 1 unit, base ...

Q: In the previous Problem Set question, we started looking at the position function s (t), the positio...

A: Solution ) s ( t )  = e 7t sin(2t) Velocity function v(t) = s'(t) [ we use product rule  {F(x) , g(x...

Q: Find the derivative. 1 f(x) =

A:

Q: y + Jx? +yz dx = xdy when x-13', y=I when x=J3, y=| 4.

A: Homogeneous differential equation : A differential equation of the form f(x,y) dy = g(x,y) dx is sai...

Q: Challenge Problem I a function / is inereasing on the intervals 3,31 and 11, 19 and decreasing on th...

A:

Q: 3x2 + 4x + 1 -dx 3x3 + 6x2 + 3x + 50 9x2+12x+3 + C (3x3+6x²+3x+5) A x3+2x2+x - + C x4+2x3+x2+5x B) 3...

A: The given integral,     ∫3x2+4x+13x3+6x2+3x+5dx

Q: Find a function f and a number a such that, for all x > 0, S. f(t) -dt = 2/x. t2 6+ a

A:

Q: Calculate the mass of butane needed to produce 62.8 g of carbon dioxide. Express your answer to thre...

A: Given:    62.8 g of carbon dioxide ( Co2 ) 

Q: 2. 49

A:

Q: The force exerted by an electric charge at the origin on a charged particle at the point (x, y, z) w...

A:

Q: Find the differential equation of the family of plane curves described. Draw at least three members ...

A: We need to find the differential equation of the family of the plane curves described below: Family ...

Q: A company produces computers. The demand equation for this computer is given by p(g)= -5q + 6500. If...

A: Given problem:- A company produces computers. The demand equation for this computer is given by p(q)...