1. Calculate for one real root of tan x = 4x with xo 1.2 %3D up to six decimal places using the Newton-Raphson Method.

Q: dx 4+e¬*

A: Since we are given with the multiple number of question and our guideline is solve first question on...

Q: Find the Maclaurin Series of tan-(x2) at x = 0.25

A: First we find Maclaurin series of taninverse x then replace x by x2 

Q: If the infinite curve y = eSX, x > 0, is rotated about the x-axis, find the area of the resulting su...

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Q: Which of the following integral will give the volume of a solid generated when the area bounded by y...

A: This question is related to definite integration, we will solve it using given information .

Q: dx Evaluate x²/4 x²

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Q: In the integral, cos?tsin2tdt , the correct u using general power formula is;

A: Given, ∫cos2tsin2tdt Formula: cos2 t =(cos2t +1)/2  

Q: csc2tdt=In|csc2t – cot21|+C A) True B False

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Q: 1 Elminobe the arbitrary conetants Y- C,e COS 2X

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Q: Solve the differential equation: dy x²y= (x + 1)(y + 1) dx

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Q: Obtain the derivative of the following functions: a2 + x3 + 2y = y² 10. Solve for the derivative of ...

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Q: Let u and v be functions of x. Then J (u-v)dx is equal to ux – vx +C dx

A: Topic-:- integration

Q: Model the height h of a projectile as a function of the time t it is in the air, with h(0) as the in...

A: Domain in this context mean that the values of t which makes height greater than or equal to zero. S...

Q: Which of the following integration expression can be transformed into integral of power 2 dx (A) 1+4...

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Q: (Inºx– 3lnx) *dx

A: Given that∫ln6x-3lnx4x dxSolution :let lnx=t1xdx=dt∫t6-3t4dta+b4=a4+4a3b+6a2b2+4ab3+b4∫t64+4t63-3t+6...

Q: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous coe (x...

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Q: a) On what interval(s) is fincreasing? b)On what interval(s) is ƒ decreasing? c) Where does f have a...

A: We want to find the intervals where f is increasing and decreasing. And also the local minimum and l...

Q: Solve the differential equation (xy – 6x²)dy – (2y² – 9xy)dx when x = 1, y = 1

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Q: Vil 12 sin (x) cos' (x)dx by using walli's formula. 27. a is equal to? A.1 B.O C.1/10 D.pi/2 The def...

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Q: Suppose that f(z, y) = x°y?. Find the directional derivative of f(x, y) in the directional (1, – 1) ...

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Q: The Laplace Transform of a displacement is given as +4a s(s+1): with a-2. Calculate the limit displa...

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Q: Please write your solution on a paper. A certain radioactive material follows the law of exponentia...

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Q: In the integral, cos?tsin2tat , the correct u using general power formula is; A sint B sin?t C) None...

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Q: evF dr + A в 2 2 E) None

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Q: Secoslsin-ta)av

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24. Roun...

A: Let's find. 

Q: Which of the following differential equations can be solved by separation of variables A ´sin 2y dx ...

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Q: Verify the following general solution, then solve. Find the particular solution to the differential ...

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Q: (2x if x1 continuous? (A) (0,1] (B) [0,1] (C) (1,2) (D) [-1,2]

A: Graph of the piecewise function÷

Q: Let * = 2.06, and y = 1.32. Determine the value of when you evaluate .(use 2 decimal places, no 5+x ...

A: We have given  y=∫x5+xdx Put 5+x=t dx=dt x=t-5 y=∫t-5tdt y=∫1dt-∫5tdt y=t-5lnt+C Putting value of t ...

Q: 2x + 2 x +1 in of Xト! ナイ

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Q: 8. If the longest side of a right triangle is 5.5ft and the shortest side is 3.3ft, find third side ...

A: Here, the longest side of the right is the hypotenuse whose length is given h=5.5 ft.

Q: The quantity of charge Q in coulombs (C) that has passed through a point in a wire up to time t (mea...

A: we have given Q 

Q: A tank initially contains 100 gallons of brine whose concentration is Ib/gal. Brine whose salt conce...

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Q: 13. A company produces a special new type of TV. The company has fixed costs of ​$462,000​, and it ...

A: Given:  Fixed cost =$ 462,000 Cost price per TV=$1500 (TV sold , charged price)=(750,2300) and (800,...

Q: cose Evaluate the integral: de. 4- sin?e -sn (ane) c B None of the given choices © shi (sn)+c e c si...

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Q: Find the domain of the following rational function. x+4 h(x) = x - 16 Select the correct choice belo...

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Q: Read each of the two statements carefully. Choose A(if both statements are true), B(if the 1st state...

A: Given that, There are two statement following, 1st : xsiny' = (x2 + 1)(y''')4 is a 4th degree ODE. 2...

Q: Determine whether the stationary point represents a maximum/minimum f(x,,x,) = 20x, – 4x¡ +9x,x, – 6...

A: Here, the given function is: f(x1,x2)=20x1-4x12+9x1x2-6x22+18x2...(1) with the constrain g(x1,x2)=x1...

Q: The DE for the family of circles of radius 9 is: A [1+ (y')²]³+81=0 B ® [1+(y")*]³–81=o [1+(y')²]³– ...

A: The general equation of the circle with center (h,k) and radius r is             ( x - h )2 + ( y - ...

Q: ate the Power Reducing Identities for sine, cosine, and tangent: s²(N) an²(N)

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Q: 4. I'e dz 5.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: 2w²+9w+ 1 dw is the same as w +4 A dw w +4 2w +1+ 3 dw w +4 B 2w – 1 - 3 dw w+4 2w +1- 67 dw w +4 2w...

A: Given that           ∫{(2w2+9w+1)/(w+4)}dw

Q: curves

A: Please refer to the image below

Q: In integrating the function f(3x + 5)(cos ) dx using integration by parts, what would be your du?

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Q: Question 14 Which of the following indefinite integrals will result to logarithmic expression? 2 A (...

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Q: SOLVE THE DIFF EQ (x²+xy²-x³)dx + (x²y-v®)dy = 0

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Q: e+y dA ,Where D={(x,y)||x| + lyl < 1}.

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining ques...

Q: dy Find for the following function. dx y = 2x cos x sin x dy dx II

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Q: Evaluate: x²-x+1 dx A 3 2 D 5 3

A: SOLUTION-

Q: '+ 1 dx 2x e (А A -e-2*) + C B +x +C 4 2 5x +x +C e3 (D) 3 +C e*

A: