solve ∫ 1/((x+2)^2(2-x)^2) using partial fractions

Q: Match the sequence with the given nth term with its graph. an = (-1)" an an 10 2- 8 1 ... 6. 4. 2 4 ...

A:

Q: 1. Find the work done by the force F(x, y, z) = (xz, z² – x, y ), along C, the curve defined by x = ...

A:

Q: 1 dx -1 2x+3 a.

A:

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4  

Q: مرمع الراشرة

A:

Q: 1. A sphere is inscribed in a right circular cone whose slant height has a length equal to the diame...

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

Q: 3. Given the following piecewise function (x² – 4x – 5, x # -3 13 – x, x = -3 f(x) = Determine the v...

A: As per the company guidelines we are supposed to answer only the first three subparts.Kindly repost ...

Q: Use the Ratio Test to determine the convergence or divergence of the series. If the Ratio Test is in...

A:

Q: Ferris wheel with a radius of 5 m is rotating at a rate of one revolution every two minutes. Exactly...

A:

Q: . Use a tree diagram to write out the Chain Rule for the R= f(u,v, w), where u = u(p,q,r, s), v = v(...

A:

Q: Use the square configuration to complete the algebra rule: (a + b)? = a- a+b OUT - - b ----

A: We know that algebraic rule is : (a + b)2 = a2 + b2 + 2(a.b)   Here i attached the solution of this ...

Q: dx 1 2x+3 a.

A:

Q: 3. A ball is launched vertically into the air from a height ofh meters and with an initial upward ve...

A: Given: A ball is launched vertically into the air from a height of h meters and with an initial upwa...

Q: The vector describing a particular particle is given by F (t) = Rcos (wt) î + R sin (wt) ĵ, where R ...

A:

Q: cot x+1 V tan x +1 2 COS X cot x sin x tan x

A:

Q: Use sigma notation to write the Maclaurin series for the function. 9coshx 9. –1) (2k)!" 6. k=0 00 2k...

A:

Q: Differentiate the function. t(t? g(t) = In + 1)4 5 2t – 1 g'(t) =

A:

Q: Using the power series method, find the first five non-zero terms of the solution for the following ...

A:  Consider the solution of the function to be yx=∑n=0∞an·xn. Now, differentiate it with respect to x,...

Q: petermine if the improper integral ex J dx is convergert or diverg unt. If it is convergent, detumin...

A:

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(−1, 5...

A: Given, Centre =C(-1,5,4) And Radius , R=4  

Q: 1. A movie theater seats 240 people. For any particular show, the amount of money the theater makes ...

A: According to question,Given,Number of people n= 240 - 12pwhere,p is the price of one tickets. 

Q: Ve dx is convergent or Determine if divergent. Evaluate if convergent. x2

A:

Q: Use the given vectors u and v to find the magnitudes of vectors u − v and −2u. u = 2i + 4j + 7k, v =...

A:

Q: Tutorial Exercise Confirm that the Integral Test can be applied to the series. Then use the Integral...

A:

Q: 1 B. E 2n +1 2n +3 n=1

A: Solution of the above series is

Q: Given the function y=f(x), y" is found to be negative over the interval (4,8), then over this interv...

A:

Q: Find the solution to the initial-value problem. y' = −8x tan(y), y(0) =  ? 2 y =

A: Given query is to find the solution of differential equation.

Q: I. Solve for the unknown/s. 1. x:4 = (2x + 3) = 12 2. (x+ 1): (2x + 3) = (x + 3)(2x + 8) 3. (3x – 1)...

A:

Q: Question 6 evaluate Sa dx A -sin2x +C B -cos2r + C 2cosx + C 2sinx +C

A:

Q: u³ = a²t , find d’u %3D dt3 2a4 а. 9u5 10a6 27u8 -10a6 С. Zu® 40a6 d. U8 b.

A: A detailed solution is given below

Q: What substitution should be used to solve the integral x²dx |4+9x² O sin u=3x/2 sec u =2x/3 O sec u ...

A:

Q: C. log2(x + 5) = 2 – log2(x + 8) d. 139x = 16r-9 %3D

A: Here student ask only c and d part

Q: piecewise

A: Please refer to the image below

Q: Write the first five terms of the sequence with the given nth term. 6. 3 + - = 10 + - n2 %3D a2 %3D ...

A:

Q: h(x) = x2 – 4. Is h1 a function and why/why not? %3D No, the inverse function does not pass the vert...

A:

Q: 31. /| z sin(z + y) dA, R= [0, #/6] × [0, 1/3] R

A: ∬ x sin(x+y) dA,R =[0, π6]×[0, π3]0≤x≤π6,  0≤y≤π3  

Q: Honey is pouring out of a funnel at a rate of 3cm3/s. The funnel is in the shape of an inverted cone...

A: Given query is to find the rate of change of height when honey is at the level of 5 cm.

Q: A ladder 20 feet long is placed against a wall. The foot of the ladder begins to slide away from the...

A:

Q: 30 Choose the best answer: tan x + cot x =

A: Given

Q: The domain of the graph y = cotx is all real numbers -15xS1 -13xS1 all reals except kT

A: Given query is to find domain of cotx .

Q: 1. Find the domain of the function: f (x) = log2 Show a sign table. %3D Intervals: Test Value: Sign ...

A:

Q: Given the function y=f(x), y' is found to be negative over the interval (4,8), then over this interv...

A:

Q: A curve is described by the equation in polar coordinates r = 4 cos² 0. Determine r(0) and dr 57 whe...

A: To find the first solution, just use the trigonometrical identities and easily find the required sol...

Q: Find dydx? for f(x, y) = eXy

A:

Q: second-order Taylor series expansion of function f(x)=ex g(x) at x=0 and calculate f(0,8) using this...

A: f(x,a) = f(a) + (x-a)f'(a) + (x-a)22f''(a)Here  x= 0 , a = 8So, f(a) = e8×g(0,8) = e8Since f(x) = ex...

Q: Determine whether the statement is true or false. The ratio test is often useful to determine conver...

A:

Q: What integration technique can be used to integrate: sec3 xdx Integration Formulas O Trigonometric S...

A: Integration of a function can be done using various methode such as trigonometric substitution, appl...

Q: 5. Find the critical point or points for eorh of the following outonomous system. Then match each pa...

A:

Q: 1. The bases of a trapezoid are 22 and 12 respectively. The angles at the extremities of one base ar...

A:

Q: sin(0) Evaluate: lim 0→る

A: