BFIND the present value Pof a contivuces iNcome flow of ct) = per geer using P=|"c()edt lo00+ 120t dollars where t;=30 Con tinuous ly.° 0 years end r=2% conpounded USE INTEGRATION by PART!

Q: y)dx

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Q: 3. The edges of a cube are measured to be 5cm long, with a maximum possible error of 0.1cm. Using…

A: Given : Length (s) = 5 cm  Error (ds) = 0.1

Q: Q3) Reversing the order of integration f 2 y? sinxy dy dx

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Q: Q3/A- Using Trapezoidal rule ,choose the correct integration value of S sin(2x) with width=15?…

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Q: dN K-N N K dt max

A: Solve

Q: A point moves around a circle x2 + y2 = 10. When the point is at (1, 3), its x coordinate is…

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Q: S2x²e** ax=uv- Jvau -Svau. Sfoxe". Using Integration By Parts, Find uv- Jv du- 3 x² e dx O 2 x3 x3…

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Q: Jay ti dx dy Compute the integration

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Q: 3.) The radius of a sphere is claimed to be 6in., with a possible error of 0.02in. Use differentials…

A: Given that  radius of sphere (r) =6 in error (dr) = 0.02 in

Q: (x – y²)dx + 2xydy = 0

A: We have to find integrating factor of given differential equation.

Q: The maximum rate of change of the finction f(x, y, z) =x In(yz) at (1;2;5 is equal to: O None of…

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Q: Find the efeneral Solutim Of the differential equatim: (0?-40+3)y=x+ee+x?

A: Answer and explanation is given below...

Q: Consider the ideal gas law PV = kT, where k > 0 is a constant. av a.) Determine the rate of change…

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Q: e dx 1- e2x (integration by substiution)

A: NOTE: Refresh your page if you can't see any equations. . ...............(1)

Q: 2. Integrate: Integration by Parts cos?x dx

A: Given : Integral cos2(x) dx

Q: 7) | dx (hint: use integration by substitution.) x' +1

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Q: Question 3 Using appropriate rules of integration, find S V1 + t² t5dt.

A: ∫xndx=xn+1n+1+C

Q: EXAMPLE 5 In an oil refinery, a storage tank contains 2000 gal of gasoline that ini- tially has 100…

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Q: e dx (1) S. 1-e2x (integration by substiution)

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Q: What are the right parts (u & dv) must be choose to solve the integration Sx²e** dx by using…

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Q: A flexible cable suspended between two vertical supports is hanging under its own weight. The weight…

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Q: 2. t23* dt

A: The given problem is solved below in detail.

Q: Evaluate using Integration by parts. ∫e4x cos(2x)dx

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Q: smoving along the graph of the given function at the rate ax/dt. Find dy/dt for the given v - = 2x +…

A: Given query is to find the value of indicated derivative.

Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: c) Calculate the integration Y+1 dydx

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Q: find the integrating factor of (y² - x ) dx + 2ydy = 0

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Q: The integrating factor of the given DE are already given below. What is the value of "n"…

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Q: A. Integration by parts i) (3t +t²) sin(2t) dt

A: since u have asked multiple question in a single request so we will be answering only first question

Q: A cylindrical tank (with a circular base) is filled with a water that is draining through a small…

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Q: Calculate the integration y+1 dydx

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Q: 1. Integrating factors found by inspection: (xy' +xy }dx+ (x²y² – 2dy = 0

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Q: when Solving he inttial Valye prob TOX (x+1) (X'+9) dy dx abom) S Duse integration by partial…

A: dydx=10x4(x+1)(x2+9) We have to solve by using Integration by partial fraction

Q: 23cm with a maximal error in measurement Of 0.3cm. Use differentials to estimate the fo1owing folo…

A: To Determine: the radius of a circular disk is given by as 23cm with a maximal error in measurement…

Q: A ball is thrown into the air by a baby alien on a planet in the system of Alpha Centauri with a…

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Q: 6- The dimension of a solid rectangular at given instant ( to ) are (L = 13 cm) ,(W = 9 cm ) and ( H…

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Q: dh _10. A cylindrical piston with fixed radius r = 3 cm is being compressed so that How h =- dt fast…

A: Given

Q: he largest interval centered about x = 0 for which the given initial-value problem has a unique…

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Q: Evaluate∫x3√4−x2dx using (a) integration by parts (b) au-substitution (c) a trigonometric…

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Q: Q3/8- Using Simpson's rule ,choose the correct integration value of x* +5 ,with width = 2? =1030…

A: By Applying Simpson's 3/8 rule.with widht =h=2

Q: MV² dN F(V)dV = M 47(- 2 TRT -3/2 v? exp(- -)dv N 2RT Where dN, the number of particles having a…

A: Given: FVdV=dNN=4πM2πRT32V2e(MV22RT)dV Compute: V2=∫0∞V2FVdV…

Q: The volume of a right circular cylinder of radius r and height h is V=mh. The radius and height of…

A: V=πr2h

Q: 34. e4x cos 2x dx

A: Solution:Given∫ e4x cos 2x dxFormula:∫udv=uv-∫vdu∫sin ax dx=-cos axa+C∫cos ax dx=-sin axa+C∫eax…

Q: A stone is thrown into a body of still water and created ripples in the form of concentric circles.…

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Q: •In a steam engine the pressure P and volume V of steam satisfy the equation PV4 = k, where k is a…

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Q: Related Rates Please show all the steps. Find dy/dt at x=1 if y=−5x^2−4 and dx/dt=3

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Q: Hw.4 consider a ctosed Kectangutar box uith a If base side ir measured with evror at 2% and the…

A: Volume of the box with square base is given by V=x2ywherex=base sidey=height Surface area of the box…

Q: A coat of paint of thickness 0.07 cm is to be applied uniformly to the faces of a cube of edge 40…

A:

Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.