Give a formula for an antiderivative F(x) of f(x) = In(x)(tan¬1 vx) such that F(3) = 0. 1)

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A: We have to find f'(0).

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Q: Find the solution of the following Differential Equations 11) y"-4y'+4y= 0, y(0) = 2.1, y'(0) = 3.9

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Q: EXERCISE 4 Find Vf(P) and D7f(P). (a) f(r, y, 2) = y² + z² – 4xz; U = } i – § j+ ; P(-2,1,3) %3D (b)…

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Q: Solve fx² In(x) dæ using Integration by Parts. Use u = In(x) and v = x?. Answer:

A: Topic = Integration

Q: Consider the function g defined by 1 g(x, y) = cos (7x/) - CoS log3(x – y)

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Q: In the curve y= 2t 12x -x°. fincl the critical points. (Noie : Critical p are pcint where in the…

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Q: 1. Determine whether each of the following series converges absolutely, con- verges conditionally or…

A: answer is in next step  . as per guideline i can answer only 3 subpart .

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Q: Differenticte y= (SN( 3))/ (4t 5cos (2x))

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Q: For the list of degrees below: degree Ahmed 66 name Ali 90 Mona 45 Salma 76 Karim 78 Use…

A: As per our guidelines we are supposed to answer only 3 sub-parts. Kindly repost others. Thank you…

Q: Find the minimum and maximum values of the function y = 8/x2 + 1 – 7x on the interval [0, 8] by…

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Q: The implicit derivative formula on a surface F (x, y, :) = 0 is: *--() F Evaluate d:/Əx on the…

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Q: Find the min and max values of the function f(x) = x^8/3 − 16x^2/3 on the interval [-1,8].

A: Given, f(x)=x8/3-16x2/3

Q: a) Let E be the solid that is above the xy-plane, enclosed by z = 18 and = 2. Evaluate the following…

A: Given integral E be a solid above xy-plane and enclosed by z=18 and z=2r2   and triple integral…

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Q: 3/2 X+ dx

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Q: Solve f 8x cos(7x) dx using Integration by Parts.

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Q: Consider f(x, y) = 3a² – 4y² and U = cosn î + sin }r î. %3D %3D Find the directional derivative of f…

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Q: d?y 7. y = e2" – 3e-, dx? dy - 2y = 0 dx

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Q: Point P is rotated 210° counterclockwise around a circle with a diameter of 20 meters. If the center…

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A: Linear programming is an optimization technique to solve systems of linear constraints with a linear…

Q: Let D be solid cone /x² +y² <:<1. Use CYLINDRICAL COORDINATES and find the mass if the density is ô…

A: To find the mass .

Q: (3) Is f(x) = 2x a solution to the differential equation f(x)–xf'(x) = 0? Explain briefly. %3D

A: The differential equation is f(x)-x·f'(x)=0

Q: Show complete solution. Please make sure that your handwritten is readable. Thank you

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Q: It takes twice as much work to stretch a certain spring from 9 to 10 in., as it does to stretch it…

A: It takes twice as much work to stretch a certain spring from 9 to 10 in., as itdoes to stretch it…

Q: f(x+h)- f(x) 4x3+9x+5 Using lim0 Find the slope of the tangent line y = Зx-8 h at x = -1.

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Q: 6. (A) not a function (C) function; domain: [-1,0] (B) function; range: R (D) function; domain: [-1,…

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Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4x + 2y + z…

A: We want  to maximize the function.

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Q: * Adh Evaluate: Рое

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Q: 7x +4 1+1 if I1 1. Evaluate f(-3) (A) –17 (C) 11 (B) 10 (D) undefined 2. Evaluate f – 2() (A) –10…

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Q: EXAMPLE 4 Solving an Equation (Complex Roots) Find all complex number solutions of x -1=0. Graph…

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Q: 6x + 2y = 3 elect the correct choice below and, if necessary, fill in any answer boxes within your…

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Q: An airplane flies east for 200 miles before turning 600 south and flying for 100 miles. What are the…

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Q: To find the distance across a river, a surveyor choose points A and B, which are 224 yd apart on one…

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Q: Find the area of the triangle whose vertices are given below. A(- 5,3) B(2,– 5) C(10,- 5) The area…

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Q: 1 - 5e -jwt dt + 5e -jwt dt -1

A: integration

Q: Identify the number of petals of the graph r = 9cos20. a. One petal b. Two petals C. Three petals d.…

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Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 10 i e10 (x - 10)n+1 n! n=0 e10 (x -…

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Q: Evaluate this double integral. Avoid integration by parts. Hint: Can you reverse the order of…

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Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

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Q: a S cosh 3xdx 3.

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