3 dx (x2–1)2

Q: (sec A - 2)(2 csc A - 1) = 0. What quadrant does A terminate? A. IV only B. II & II C. I & IV D. I o...

A: The given equation is  sec A-22csc A-1=0

Q: 7. There is a removable discontinuity at x = 1 and f(1) = 4 8. There is a jump discontinuity at x = ...

A: Note that: The jump discontinuity means the left and right-hand limit exists but not the same. And, ...

Q: Determine the values of the other five trigonometric functions of 0 by using the given information. ...

A: Find all the trigonometric ratios when cosθ= 11/61 and sinθ <0 

Q: What is the choice of substitution for S e*(1+e*)(1/2) dx?

A: The given integral,        ∫ex1+ex12 dx

Q: At 3:15 pm, a metal ball has a temperature 80°F is taken outside where the air temperature is 20°F. ...

A: Find your answer below 

Q: , Test for exactness and find the complete solution of (x-1) dr + In(2 - 2) + dy = 0 . Find the solu...

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Q: 1. (3xy - 4y - 1)dx + x(x-2)dy - 0

A: This is a problem related to differential equation. First of all we will convert this equation into ...

Q: Evaluate the following improper integral. If it diverges, then type DNE. Otherwise, find its exact v...

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Q: 8.4: 37 37. For which of the following series is the Ratio Test inconclusive (that is, it fails to g...

A: Given problem:-   

Q: (1) In this question we will find a recursive formula for the integral In = [ (In 2)" dr. (a) Find I...

A: We will use integration by parts formula and after get the reoccurrence relationship we will use tha...

Q: Use any method to determine whether the series converge. (a) k=1 12k The series 1 (b) 2 12* + 1 k=1 ...

A:

Q: Calculate the integral approximations Tg and Mg for 8 10 -5 L° (In x) dx. Your answers must 4 be acc...

A: Given:    ∫48ln x-5dx Trapezoidal Rule:     ∫abfxdx=∆x2fx0+2fx1+2fx2+...fxn   where ∆x=b-an   we hav...

Q: Consider the function f(æ) = x²e3". For this function there are three important intervals: (- 0, A],...

A: The given function is  f(x)= x2e3x  Find critical point and interval of increasing and decreasing. 

Q: +00 S 13 In n n n=1 Determine whether the sequence converges, and if so find its limit. If the seque...

A:

Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: Topic -Integration 

Q: 6y°dx-x(2x° + Y)dy -0 : y(1)=1 2.

A:

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A: Given that ∫-3023e1xx3dxSolution :∫-3023e1xx3dxlet ,1x=t-1x2dx=dtat x=-3,t=-13x=0,t=∞substituting th...

Q: Inverse Laplace Transform; f(s)= 1/s-3

A: Laplace Inverse Transform of 1s-3

Q: Find the minimum and maximum values of the function f(x, y, z) = 5x + 6y + 4z subject to the constra...

A: Here we have f(x,y,z)=5x+6y+4z subject to the constraint x2+6y2+6z2=1 Let g(x,y,z)=x2+6y2+6z2-1

Q: f) = In(tanx) -1 %3D

A: ddxlnarctanx  

Q: Find csc (-270°). Select the correct choice below and, if necessary, fill in the answer box to compl...

A:

Q: With partial fraction decomposition the following rational expression can be expressed in the form x...

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Q: 4. y = sin(cos 3x) – sin x cos 3x |

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Q: x-intercept  (x,y)=           (smaller x-value)

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Q: | cos(Tx)|+ x2 I a+1 + 5x + 137 (9) Find all a so that dr converges. You do not have to find the val...

A: We shall use the limit comparison test to answer this question.

Q: Evaluate the following improper integral. If it diverges, then type 'DNE. Otherwise, find its exact ...

A:

Q: 2. Tell the continuity of the function 4x - 2, f(x) =-2x +5. x> 2 a.) llustrate the graph b.) Evalua...

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Q: Use the graph of the function f shown to the right to estimate the indicated function values and lim...

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Q: Solve the equation e3z²–10z . e3z-3 = ez²-2

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Q: Consider the following. 4x6 + y7 = 9x (a) Find  y ′  by implicit differentiation. y ′ =

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Q: Graph The data a Then Tind madel t trigunome tric represent the trend Ove the data your made!

A:

Q: What is the coefficient of the term contaning the variable h when f(x +h) – f(x) is performed, and i...

A: Here we have to determine the coefficient of the term containing the variable h when f(x+h)-f(x)h is...

Q: Given the differential equation x²y" + 5xy' – 5y = log (x) Determine the Wronskian for the different...

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Q: Consider the function f(x) = – 4(x – 3)2/3. For this function there are two important open intervals...

A: To find: The value of A which is critical number also need to determine the interval -∞,A,A,∞ at whi...

Q: Consider the following. 6 x −  1 y = 7 (a)  Find  y ′  by implicit differentiation. y ′ =        (b)...

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Q: 1. lim f(x) = -1 and f(1)DNE 2. lim f(x) 1 and f(0) = -3 x-1 3. lim f(x) = –2, 4. lim f(x) = +∞, x-2...

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Q: xarctanx dx

A: Product Rule of integration : ∫u.v dx = u∫vdx - ∫(dudx∫v dx)dx darc tanxdx = 11+x2 ∫ xn dx = xn+1n+1...

Q: Evaluate the following indefinite integral Use C for any constant of integration 81 x1° dx =

A: The objective is to evaluate the integral. 

Q: Given the general solution to a differential equation and its initial conditions y (x) = C, e-3* + C...

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Q: Problem #1 Find 4x-5x2 +s dx Problem #2 Calculate f'(t) if fle)=3t°csct Problem #3 d4x-x+3 Calculate...

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Q: Q2) if the vechors Find scalev component of ū in the divection of ū +2 a) The Proj, ū c) angle betwe...

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Q: Find the extrema of the given function f(x, y) = 6cos(x² – y) subject to x? + y = 1. (Use symbolic n...

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Q: 7.7.009. MY NOTES ASK YOU Find the fluid force on the vertical side of the tank, where the dimension...

A: Analyze the diagram

Q: ∫x/(1+x4) dx=?

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Q: 9. cos (21) di 10. 11. sin'x cos's de 12.

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Q: If F(x) = f(g(x)), where f(5) = 7, f '(5) = 2, f '(2) = 3, g(2) = 5, and g'(2) = 3, find F '(2). F '...

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Q: Q3) If P(2,-2, 1) , Q(3,-1,2) and R( 3,-1,1) ノ の)ind the area of the triangle determined by the Poin...

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Q: The profit (in dollars) from the sale of x lawn mowers is P(x) = 20x-0.02x – 550. (A) Find the avera...

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Q: Write the composite function in the form f(g(x)). [Identify the inner function u = g(x) and the oute...

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Q: Зх +7 -dx = (х—1)(х-9)

A: Fully evaluate the integral.