. Find the partial fraction decomposition for: 8x²-11x+14 x3-x²-4

Q: 38. If the velocity of a particle is given by the equation v(t) = r²- 5t \mbox{and the…

A: Topic = Algebra

Q: dx xy dy x² + y² Ans. y² = 2x²ln (

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Q: Evaluate the integral. [² (7x)√x² + 34√x³ √√√x dx

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 9) Radius:…

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Q: Find the limit of the sequence using L'Hôpital's Rule. bn = 6   n ln  1 +  1 n   lim n→∞ bn =…

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Q: WHAT IS THE FORM OF THE PARTICULAR SOLUTION OF THIS (D²+D-2)y=(-e^-2x) + (3e^2x)

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Q: The temperature T in a metal ball is inversely proportional to the distance from the center of the…

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Q: Given the DE. 3dy + ydx = (1-2x)y4, Rewrite the DE into Linear Form at v O dx-v = 2x+1 dx-v=2x-1…

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Q: Find the following indefinite integrals. 24x² a) S -dx (3x4-8) b) c) (-2x² - 15e* + √√x³) dx…

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Q: 28. Write the expression as a sum and/or difference of logarithms. Express powers as factors. log 2…

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Q: Find the vector v with the given magnitude and the same direction as u. Direction u = (-6, 4, 0) V =…

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Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

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Q: 5n i\n +1 Σ– n=1

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Q: The given family of functions is the general solution of the differential equation on the indicated…

A: By using the general solution and the initial conditions we can find the particular solution of the…

Q: Q3:a\ -7)(x) = g(x) f(x)' If f(x) = 1, g(x) = 1 + √x. Find the domains of (1)(x) =

A: Topic:- function       Definition :-  The domain of a function is The set of input values where for…

Q: Find an equation of the tangent plane to the surface at the give h(x, y) = In √x² + y², (12, 16, In…

A: we have to find tangent plane

Q: Find the absolute maximum and absolute minimum values of f on the given interval. (a) f(x) = 2x³ —…

A: The given functions, a) f(x)=2x3-3x2-12x+1, -2,3b) gθ=θ+cotθ2, π4,7π4

Q: Evaluate the arc length of the curve generated by the parametric equations below for t (-1,1) x(t)=…

A: The expression for the arc length of the parametric curve is; L=∫abx't2+y't2dt   Given: xt=3+3t2 ;…

Q: aight Highway. He determines the angles of depression to two mileposts, 6.5 mi apart, to be 37° and…

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Q: Evaluate csc² √2x √x [³ dx.

A: Given data:- ∫csc22xxdx

Q: For each of the following, write one integral or a sum of integrals that equal the given expression.…

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Q: Given that: f'(x) to the left of x=4 is negative f'(x) to the right of x=4 is positive S'(4)-0 What…

A: First Derivative Test: Let a be a critical point such that f'(a)=0. If f'x changes from positive to…

Q: For f(x) = (a) fog 9 x-7 and g(x)= (b) gof find the following composite functions and state the…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

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Q: Question 1 Suppose I have $5000 to invest, and I am able to invest it at an 8% rate compounded…

A: Topic = Algebra

Q: 11. 12. 13. 14. 15. 16. 17. 18. For items 11-25 consider g(x) as defined below. I. lim g(x) does not…

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Q: O O Use the substitution formula to evaluate the integral. 1 6r dr 0√16+3r² OA. 19-4 √19 2 O B. -2…

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Q: 2 2 [²³x² x² dx. 0

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Q: A pilot is flying over a straight highway. He determines the angles of depression to two mileposts,…

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Q: A silver dollar is dropped from the top of a building that is 1389 feet tall. Use the position…

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Q: Use the remainder theorem to find the remainder when f(x) is divided by x + 3. Then use the factor…

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Q: 44. y' - 2y = 0

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Q: Q2) A- Find asymptotes for the following functions : x²-1 (1) (2) x²+2 B- Find dy dx x³+x²-x-3 x²-1…

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Q: Use implicit differentiation in finding y'. 1. x²³² +y³ =18xy

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Q: Integrate: S dx sin ³x cos6x

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Q: II. Consider the polar curves C₁: r = 3-2 sin and C₂ r 4 sin 0. Let A and B be the points of…

A: Let us consider the polar curve r=fθ, θ1<θ<θ2 The area under the curve is obtained as…

Q: (3) Theorem: The area between the curves.y = f(x) and y = g(x) and between x = a and y = b is A =…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: My aunt invests $1000 in an account that is continuously compounded at a 5% interest rate. How much…

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Q: Let g(x) = x³ 3x². What is the absolute minimum of g(x) in the interval [-2, 4]? Answer: -

A: Given :gx=x3-3x2

Q: Use implicit differentiation in finding y'. 2. x²y+xy² =6

A: The given equation x2y+xy2=6

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Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

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Q: Evaluate the integral. er HEAD ² y³ In(x) dx, y> 0 ind

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Q: Use the summation properties and rules to evaluate each series. n(n+1) Summation Rules: Σ=1 1 = n; Σ…

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Q: 8. Evaluate the line integral fx'dx + xe 'dy where C is the closed path along the triangle in the…

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Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: Determine whether the series is convergent or divergent. O convergent O divergent 118 1 n=13+ 4

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Q: 7. Compute the gradient of the following function f(x, y, z)= e-2z sin(2y) cos(2y);

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Q: # The graph above represents f'(x). Which of the following graphs represents f(x)? A.

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