Solve the following equation by using LONG DIVISION 6x³5x²49x + 60 = 0

Q: Sketch the graph of a single function f(x) that satisfies all of the following conditions, labeling…

A: The function satisfies the condition,The domain of fx is -∞,∞f'x=5x2x2-3f''x=10x2x2-3f0=0

Q: # Determine whether the function z = f(x, y) = (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: An 6 in x 10 in sheet of paper is to be folded into a box, with one side open, by cutting squares in…

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Q: x² Evaluate using Partial Fraction Decomposition: f(x+1)²(x-1) dx

A: To evaluate the given integral by using Partial Fraction Decomposition. ∫x2x+12x-1 dx

Q: ff is continuous and ƒ(5) = 2 and ƒ(4) = 3 then lim ƒ(4x² — 11) = 2. x→2 True False

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Q: A rectangular field is to be enclosed with a fence. The available fencing material is 150 meters…

A: This is  a problem related to maxima and minima of the function. Based on the general formula and…

Q: 4. 5. 1 X√(x)}² (x)²-49 dx 1 √9+8x-x² dx

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Q: Scotxde = f COS X sin x -dx

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Q: Find the solution of the given initial value problem in explicit form. Determine the interval in…

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Q: 5. Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = X. 4 f(x)= = and g(x)…

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Q: J (11x + 17) dx 2x² + 7x - 4

A: We have to find Integration of given Integral.

Q: A person is standing between two cliffs. A sound is produced, the person hears echo after 3 seconds…

A: Let the distance between the two cliffs = (a+b) m Speed of sound = 332 m/s

Q: 4. Find the Taylor series for f(x) = ln(1 + x) centered at a = 3. Give the first 5 terms of the…

A: This is a problem related to taylor series expansion. Based on the general formula and concept we…

Q: Complete the parametric equations of the line through the point (-2,-4,-8) and perpendicular to the…

A: Given: Equation of plane x-3y-5z=2 Point (-2,-4,-8)

Q: lim 818 sin n+1 n + sin n+2 n + sin n n+3 n +... + sin (2) = cos(1) - cos(2).

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Q: Let ā= . Find a unit vector in the direction of a

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Q: 6dx x - √ S 3√x²

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Q: find dy/dx y = cos(etan 3x)

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Q: A tank contains 250 liters of fluid in which 40 grams of salt is dissolved. Pure water is then…

A: Above question is solved.

Q: Q4: Evaluate the following integral. 7/21/2 sin y 5% dy dx Y

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Q: In the diagram, AABC is an equilateral triangle, and D, E and F are the midpoints of its sides.

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Q: Which of the following vectors is coplanar to [1, 1, 1] and [1, 2, 3]? O a) [4, 2, -2] b) [5, 7, 6]…

A: Given vectors  [1,1,1] and [1,2,3] For coplanar with another vector, the determinant should be zero.…

Q: The position of a particle in space at time t is r(t) as shown below. Find the particle's velocity…

A: The position of a particle is r(t)=2 lnt+1i+t2j+t22k

Q: Basic PDES Which of the following statements is guaranteed to be true? - [cos(y) + y²x] = y2²…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Pls help ASAP

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Q: Evaluate the integral: 18x² √64 x² - I dx

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Q: Select the correct answer to the following problems: a) f(x) f(x) dx ○ f(4) 00 ○ f(0) f(x-4) f(x)dr…

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Q: Consider the following differential equation. (x + 1) + (x + 2)y = 8xe-x dx dy Find the coefficient…

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Q: 9. A bacterial culture starts with 4000 bacteria. After 12 hours the estimated count is 36000 a)…

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Q: Find all the second partial derivatives. f(x, y) = sin²(mx + ny)

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Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: x(t) = 4+ t Find a plane through the point (-1,5,-3) and orthogonal to the line y(t) = 3 - 6t z(t) =…

A: This question can be solved using the concept of lines and planes.

Q: A small metal bar, whose initial temperature was 30° C, is dropped into a large container of boiling…

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Q: Given the points A: (2,3,6) and B: (-3,-4,1), find the vector u = AB ū = < U

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: f(x csc² 6x-x cos 6x)dx

A: Given,∫ (xcsc26x-xcos6x)dx

Q: Q1- Find all the second-order partial derivatives of the function: s(x, y) = tan-¹(x)

A: partial differentiation

Q: The x-component of the unit vector in the direction [1, -2, z] is. What is the value of z? O a) 1…

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Q: Find the area of the region bounded by the parametric curve x = e³¹, y = e²¹ and the X- axis on the…

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Q: 16. √(16-9x²) dx 17. dx/ (9x² + 4) 18. sin³ x cos x dx 19. f (secs x) dx/csc x 20. Stan² x dx

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Q: Using the Maclaurin series expansion of e, to find the series expansion of f(x). Express [ f(t) dt…

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Q: dx √3 1 + x² ||| A B I✔ E & X Ⓡ 3

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Q: Find the dot product of the following vectors u and 7. ū u v =

A: We can find the answer as below.

Q: The area of the region that lies inside the cardioid curve r = cose + 1 and [(cose + 1)² = cos²0]de…

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Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: Solution: a) let v = (a, b, c). Then

Q: C. r = a sin²0 3. r= a(1 + cose)

A: Topic:- curves  Note :- as per our guideline if more than three subparts posted than only first…

Q: Q3) Determine the maximum point of the function f(x) = x(5-x) with Fibonacci search method, if the…

A: Here, we have fx=x5π-x. The number of experiments to be performed are n=4 and the first uncertainty…

Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: 2 Evaluate f S t(1+²in t) dt 1+ Int+C O + C O 2 (1+In t) + C O2 ln | 1 + lnt | +C 2 (1+In t)

A: Evaluate the integral

Q: A movie poster is to contain 0.48 square meters of colored print. The margins on each side are 2.54…

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