Evaluate the indefinite integral given below using the indicated substitution. -10x (-5x² - 10)¹ dx _522 — 10 U=

Q: -5-4-3 fa 7 The function graphed above is: Increasing on the interval(s) Decreasing on the…

A: Given data÷

Q: O O 2x4 1,34 dx +1 NIS In[x5 + 1] + € C In[x5 + 1] + C 5 In[x 5 + 1] + C In[x5 + 1] + C

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A: Given that,            The solid is obtained by rotating the region bounded by the given curves…

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A: This is a problem related to integration. Please follow the procedure given below.

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Q: Find the G.S. about xo = 0 for the following DE's (x²+4)y" + 2xy' - 12y = 0 1.

A: Please see the below pictures for detailed solution.

Q: Evaluate dw/dt at t=9 for the function ​w(x,y)=ey−ln x​;  x=t2​, y=ln t. Options are: 1) 7 2)…

A: Given query is to find indicated derivative.

Q: 14. The solution of the differential equation: (D - 2)³y = e²x is k a) y = (₁ + C₂x)e²x + xe²x b) y…

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Q: Let g be defined by the equation g(x) = sin 2 dt 1²-1 Show that g'(x): = sec z.

A: Given:       gx=∫sinx0 dtt2-1       Factor -1 from the denominator:       =-∫sinx011-t2dt       The…

Q: Consider the following function and point. x + 4 (5,9) X-4 (a) Find the derivative of the function.…

A: The given function is fx=x+4x-4, 5,9

Q: Differentiate y = (2x³ + 3x² - 1)5 30x(x + 1)(2x³ + 3x² - 1) O 5(6x² + 6x)+ 30x(x+1)(2x³ + 3x² - 1)4…

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Q: Match each of the following parametric Equations with a plane curve : x(t) = - 3t y(t) = 1 - 9t² TER…

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Q: xydx + (x^2+y^2)dy = 0 TEST FOR HOMOGENEITY OF DEGREE N: Let: F(x,y) = M(x,y)DX + N(x,y)dy…

A: Please see the below picture  detailed solution.

Q: (-9) Σ 5 0 = 1

A: The answer is given below:   Ration Test

Q: 6)    State whether the series converges absolutely, conditionally, or not at all. ∞ n = 1 (−1)n +…

A: The given series is ∑n=1∞(-1)n+1n+9

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A: Given the following differential equation: y' − 2y = (e^3x)/((e^x) + 1)

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Q: Sxex² dx O 2+x²²/²/2/ HI HIN 6 1 2 HIN ex²+ + C + C + C

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A: Here we have to solve the differential equation.

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Q: A function is given by f(X)=x^2+X+5 find f'(2)

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A: Given query is to read the graph and answer the related problems.

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Q: Find the limit. lim (x,y) → (1,−4) 3x²y 2 1+xy²

A: I am attaching image so that you understand each and every step.

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A: To find the missing limits of integration.

Q: Find the definite integral that will compute for the volume of the solid when the region bounded by…

A: To find the definite integral that will compute the volume of the solid. Given information: The…

Q: 21. If u = - y+z a) 0 Z z+x x+y b) 1 ди then the value of x + y + z 2 is: c) u d) None 22. The…

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A: Here the age A (in years) is given by, A=-8267lnDD0 It is given that the amount D of carbon-14 that…

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A: To find : the domain in terms of i,j and k

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A: Given data:- Side length of the triangle, a=6 cm ∠B=45°∠C=120°

Q: 64. The complete cardioid r = 2 - 2 sin 0

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Q: Evaluate O 10 • 4 5 9 2z plny Մ » 0 -T ye dædy dz.

A: To evaluate the integral.

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Q: Consider the function f(x) = 6√x + 9 on the interval [1, 8]. Find the average or mean slope of the…

A: mean value theorem

Q: For the function f(x) = 3x²-x³-4 where -3 ≤ x ≤ 3, complete the following. 1. Find f' and f". 2.…

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Q: Use the given function and the given interval to complete parts a and b. f(x) = 2x³ - 36x² + 192x on…

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