The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O Long (Euclidean) Division Heaviside (Cover Up) Method Decomposition into Partial Fractions

Q: 1 2 3 4 f(x) f'(x) g(x) 4 1 2 3 2 4 2| 3 (x),6 2| 1 4 1 4 3 h'(4) if h(x) = f(x)•g(x) f(x) h'(4) if…

A: Our Aim is to find h'(4) with the help of table and three conditions given below:-(i)…

Q: A steel girder 27 feet long is to be moved on rollers along a passageway 8 feet in width and into a…

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Q: P8: sin x cos x (2 sin x – 1)(sin x + 1)

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Q: Select the correct answer. For which pair of matrices is s A B#BA, OA. A=[}2] B = A = 2 B= A = 2 B=…

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Q: Differentiate Зх — 6 y = csc 5x2 + 9 A. Зх — 6 Зх — 6 - y' = cot csc 5x2 + 9 5x² + 9 ) В. Зх — 6 Зх…

A: Differentiation

Q: 12. Which of the following is equal to dx upon decomposition? х3 — x2 -2х 1. 6 A. C. 2+ х - 2 dx x…

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Q: * 3" +n 2) Use the Comparison Test to determine whether the series or divergent. Show All Your Work.…

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Q: Let F(a) = f(x*) and G(x) = (f(x))". You also know that a = 2, f(a) = 3, f'(a) = 15, f'(a*) = 2 |3D…

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Q: Find r'(t), r(t,), and r'(t,) for the given value of to r(t) = (e', e²9), to = 0 r'(t) = r(t,) =…

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Q: Waat is the degree of the following differential equation? dx dy + x²y dt? d"z = xyz dt? 3 2 O 1

A: The given problem is solved below in detail.

Q: y = sinx dy V1+x? sin dy V1+x sinx+x x+x (sin" x)' Jī- dx (sin" x) Vi+x² dx Op tion 2 Option 1 V1-x…

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Q: 24 – 44 dy 2+ 4y с.

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Q: Choose the values that are in the range of y= arccot x Select all that apply. NEXT QUESTION O ASK…

A: Given query is to find the values which are in the range of the function.

Q: Find the Area bounded by the given curves. y = 2x + 1 ,  y = 7 - x ,  x = 8

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Q: Determine whether the series is absolutely converger convergent or divergent. Please provide…

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Q: 1 is convergent or 8. 1) Use the Comparison Test to determine whether the series n=2 divergent. Show…

A: We need to find if series is convergent or divergent,

Q: x +k a. Determine the value(s) ofk such that g'(1) = 5 if g(x) = %3D %3D x² - 2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: Given: a = 22, c= 24.1, zB = 6T C a A Solve the triangle. (Do not round until the final answer.…

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Q: 3. T The point 2, 3 is given in spherical 4 coordinates. Its rectangular coordinates are: 3 /6 2 2 2…

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Q: 0 14 (x² + 4y) dæ dy 4

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Q: Solve [æ – y cot ( ) dæ + x cot () dy = 0 ; y (5) = 1

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Q: 8. Sketch a graph (different for each) that satisfies the given conditions: a) f'(x) 0 if x -2 (x…

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Q: Using appropriate trigonometric substitution, dx xV4 – x2 is transformed to J csc 0 de cos e do the…

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Q: Use the Divergence Theorem to find the flux of F(x, y, z) = (x³ – e")i+ (y³ + sin z)j+ (2³ – æy)k 3…

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Q: Given the series E n10 Which one of the following gives lim n=1(-10)+1 Select one: 3 10 1 None of…

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Q: Find dy for the given values of x and Ax. y = 5x° - 9x, x= - 2 and Ax= 0.2 dy =D %3D (Round to the…

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Q: The particular solution y, of the differential equation y" + 4y' + 4y 3x2 + 1 is (1/8) (1-2x+6x^2) O…

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Q: Find the angle of the largest right circular cone which can be inscribed in a sphere of radius 9…

A: We have to find the angle of the largest right circular cone which can be inscribed in a sphere of…

Q: If f(x) = 4/@ln(æ), find f'(x). %3D Find f'(2). Submit Question

A: Given query is to find the value of the derivative at indicated point.

Q: Find r'(t). r(t) = (tan(11t))i+t cos(t)j – vtk NOTE: Enter your answer in terms of i, j, and k.…

A: r(t)=((tan-1(11t))i+tcos(t)j-tkDIfferentiate w.r.t.…

Q: Solve the equation (y - x + xy cot x)dx + xdy = 0

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Q: Write z1 and 22 in polar form. 21 = -36, z2 = V3 +i Z1 Z2 Find the product z1z2 and the quotients 2…

A: Let's find.

Q: e4z+1 dx e2r – 1 17.

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Q: P6: x2 x² – 1

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Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: Asec24xdx

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Q: 1) (-1)*- n² 2" n=1 a) Show that the series is convergent. Show All Your Work!

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Q: Select all that apply. For the quadrant in which the following point is located, determine which of…

A: Given query is to find function , which are positive for the point.

Q: The volume of the solid region, in the first octant, that lies below below the surface, z = above…

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Q: Use Green's Theorem to evaluate the integral. Assume that the curve C is oriented counterclockwise.…

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Q: [a csc ()- y] do + ædy = 0 CSC O y= x cos(In z) + C O y=D cos (In a + C) O In + cos(E)= C O Ino COS

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Q: y = x* Inx dy : =x³ +4x° Inx dx O Op tion 1 None of these dy - -x -4x° In x dx =x² -4x° Inx dx O…

A: Explanation of the answer is as follows

Q: Find the differential equation of a family of circles, each having its center on the line y x and…

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Q: Suppose that f (x, y) has continuous second-order partial derivatives everywhere and that the origin…

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Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

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Q: Decide whether the given relation defines a function, and give the domain and range. Year (x) 2005…

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Q: Find the x-intercepts(s). if any, of f. (Type integer values, separated by commas.) x=0 (6, 2) (-2,…

A: We need to determine x-intercepts.

Q: 14. Write the solution set for the general solution. Write the solution set on the interval [0, 2n).…

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Q: Let F(x) = f(æ*) and G(x) = (f(x))*. You also know that a' = 3, f(a) = 2, f'(a) = 8, ƒ'(a*) Then…

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