The partial fraction decomposition of 4x 12 can be written in the form of 8x2 + 30x + 7 g(x) f(æ) + 4x + 1 where 2х + 7 f(x) : g(x)

Q: 27. lim (x + cos

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Q: - (x,y) =- 5х— 4y fo х— 4у

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Q: Evaluate the integral using integration by parts with the indicated choices of u and dv. (Use C for ...

A: Topic:- integration by parts

Q: Suppose we have the parametric curve associated with 1 2t, 1 r (t) = t > 0. -- t2' 3t3 Evaluate k, t...

A: Find r'(t) and r"(t) then find cross product and put in the formula of curvatur

Q: 1. If ü= (2,-3), v=(1, -5), and w=(6, 2), determine the following: a) |ü +v| b) 3 ỹ -ū +w

A: a) u→+v→=(2,-3)+(1,-5)=2+1,-3-5=3,-8=32+(-8)2=9+64=73|u→+v→|=73

Q: 9. y'+ 2x y = x e*2 subject to IC: y(0) = - 1 10. (x + 1) y' + y = In x subject to IC: y(1) = 0

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Q: Solve the differential equation with appropriate method. Finalize answer in terms of * and Ccombined...

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Q: Graph the linear function f(x) = - 4x. Identify if it is a constant function. Give the domain and ra...

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Q: 00 T LO uonsan Find a formula in each part below for the number of zebra mussels in a bay as a funct...

A: topic - functions

Q: If $2,000 is invested at 7% compounded monthly, what is the balance after 8 years? $3,601.84 $3,490....

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Q: What is the period of y = 3 sin 2 x? pi pi/2 2 pi

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Q: 2. If x-xy+y = 3 find y and y".

A: 2. According to question,Given equation,x2 -xy + y2 = 3 "Since you have asked multiple question, we ...

Q: cost C (in dollars) of manufacturing ¤ number of high-quality computer laser printers is C(x) = 9x*/...

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

Q: .3 Cos x + cos x dx Vsin a 3,

A: Given that∫cos3x+cosxsinx3dxsolution:∫cos3x+cosxsinx3dx∫cosxcos2x+1sinx3dx∫cosx1-sin2x+1sinx3dx∫cosx...

Q: V=(x^2)yi-xyj+xyzk

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Q: 2 dse the Reimann Integral to evaluate S v'dv.

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Q: The volume of a right circular cone of radius x and height y is given by V 3. 1 TLʻY. Suppose that t...

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Q: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=...

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Q: The length function for the curve yz ln(sinx) arc stacting point (,0) cwith

A: The arc-length of the curve y=f(x), a≤x≤b is given by: L=∫ab1+(f'(x))2dx

Q: Let A= Hit oK lui B- 1it Hj t Ik %3D what b looine of the role butriern vetor A and B.?

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Q: Consider the following vector function. r(t) 4t, (a) Find the unit tangent and unit normal vectors T...

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Q: 12. Determine the definite integral 7 sint 0 cos3 0 de

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Q: Fnd the さ pub bength and direction of W=-Tiー分i-6r

A: Given  u = -7i-5j-8k, v = 0 u×v = ijk-7-5-8000u×v  = 0i-0j+0ku×v  = 0

Q: Which of the following uses integration by parts? (3) fxlnxcx In x dx ... (1) fxcosx'dx (2) fre*dx A...

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Q: 11. x (x + 1) y,' +x y = 1 subject to IC: y(e) = 1 12. y' + (tan x) y = cos cos ' x subject to IC: y...

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Q: V3 - 2 lim H:-4 5.

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Q: 1. Using the definition of derivative, find the derivative of the follow Homework: 1. Using the defi...

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Q: Perform the indicated operation and write the result in standard form. (3 – 5i) O-646. 4+ 958. 4i O ...

A: Simplification of

Q: Find the absolute maximum and absolute minimum values of f on the given interval. f(t) = 2 cos(t) +...

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Q: (1) Plot the graph of y = r³ – 3r – 5 = 0, and find where the curve crosses the T-axis and the y-axi...

A: The given function is: y=x3-3x-5=0

Q: Determine the value(s) of x for which the following function is discontinuous. Identify the type of ...

A: The given function,         fx=2x2+3x-2x+2 Removable discontinuous:    If a function f(x) has remova...

Q: A population of squirrels lives in a forest with a carrying capacity of 1200. Assume logistic growth...

A: NOTE: Refresh your page if you can't see any equations. . the logistic model is given by here carry...

Q: RAGLIO Use a table of values to estimate the value of the limit of lim Vx + 4 – 2 2. f(x) f(x)

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Q: It vector eqml to 0, thin Hith lamth V= 40,0,07

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Q: Biologists stocked a lake with 300 fish and estimated the carrying capacity (the maximal population ...

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Q: da formula in each part below for the number of zebra m ay as a function of the number of years sinc...

A: We are asked to find the linear and exponential growth

Q: Consider the sequence (") an = In ((n + 1)41 240 This sequence is not monotone for all n. Determine ...

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

Q: Let V u R. It v 1s prpndioulnt be Vectors in to u, then my parpindientar to' u. nonzoco Malhple GU o...

A: topic - vectors

Q: 4 and y(4) 10, find y'(4) by implicit differentiation. If 2x + 3x + ry

A: We can perform the implicit differentiation to find the answer as below.

Q: Use a calculator to solve the following equation for 0 on the interval (0, n). cot (0) Find all the ...

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Q: ) Suppose that {am}n20 diverges and {bn}n20 converges. Then the sequence {am · bn}n20 diverges. 7. I...

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Q: Basic Skills 7-14. Substitution Review Evaluate the following integrals. dx | (9x – 2)3 dx 8. 7. (3 ...

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Q: 23. lim (1 + x)cotx

A: As you have asked for question 23 only. So I am solving that only.   Let f(x),g(x) be two functions ...

Q: Determine whether the series converges, and if so find its sum. 4k+2 Σ '7k-1 k=1 Since the series ca...

A: topic - geometric series

Q: 19 The range of y = sin x is _______. y ≤ 0 -1 < x < 1 y ≥ 0 -1 ≤ y ≤ 1

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Q: Computational: (1) Given the function y = x3 +3x + 1, answer the following items. a) Find the slope ...

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Q: 3. Sketch OP = (3, -4, -2) including the rectangular prism that frames it. Use and label the axes, i...

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Q: Consider a closed rectangular box with a square base with side and height y. a. Find an equation for...

A: A closed rectangular box with a square base with side x and height y.

Q: Explain how you would approximate the slope of the tangent at a point without using first principles...

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Q: Find the slope of the function's graph at the given point. 8 Function: 9(z) %3D Point of g is at (2,...

A: Slope of the tangent is obtained by dy/dx