How many arbitrary constants will be there n the general solution of a second order differential equation? O NONE OF THE GIVEN CHOICES

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A: We have to find out

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A: Write an iterated triple integral in the order dz dy dx for the volume of the region in the first…

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A: The given integral,     ∫x2lnx dx

Q: One of the correct steps to evaluate x2Inx dx to yield the correct integral

A: Our Aim is to identify the correct step to evaluate ∫x2 ln (x) dx to yieldthe correct integral.

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A: Given,  ∑n=0∞2xnn!

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Q: Summation of n = 0 to infinity of (x3n) / (n!) Find radius and interval of convergence.

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Q: LI (x + 4)(x +3)dr = 74/3 Select one: O True O False

A: topic- definite integral

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Q: 5. J 12 csc (-6х) cot (-6x) dx 6. J2x3 cot х4 dx 7. S xª sec (x5 - 9) dx 8. S tan 3 x dx

A: The given integral are 5) 12 csc(-6x) cot(-6x)  6) 2x3 cot(x4)

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A: answer is in next step

Q: x³dx is equivalent to x² – 4 Using trigonometric substitution , A sec+0 do B) None © 8 C sin³e de D…

A: The given integral,        ∫x3dxx2-4

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Q: Find two positive numbers whose product is 750 and for which the sum of one and 10 times the other…

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Q: **. . AY .. ... Use the shell method to write and evaluate the definite integral that represents the…

A: A detailed solution is given below

Q: x+1 dx

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Q: In t+1-2 dt, if we let V Vt+1-2, then dt is equal to 4x(x²+ 2)dx B (4x³+2)dx None D 2(x²+2)dx E…

A: To find out the dt.

Q: ired) and other rules; You can use technology

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Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) = to find k(t). r(t) = e""i+e-tj K(t)

A: To find out the k(t).

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A:

Q: Match the following series with the series below in which you can compare using the Limit Comparison…

A: We have to test convergence

Q: y" + 9y = 9 sec² 3t, 0<t < T/6

A: To solve the following differential equation

Q: 81 fx, y) dy dx 10 10 O-10 10 1아 1아 -10 10 -10 -10 81 -x F(x, y) dy dx = f(x, y) dx dy

A: we have to change the limit of integration.

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A: topic - law of sines

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A: Given problem:- The demand function for a particular product is given by the function D(x) =…

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Q: The particular solution that satisfies the differential equation and the initial condition of dy/dx…

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Q: k(x) = 22.8 cos (0.3(x – 72.29)) – 2.9 1(x) = 0.5e (-x+82.762) - 25.7

A:

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x + 7) and y = -6. Answer: Find the area of…

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Q: Determine the integral of the ff. functions. 1. S - 10 sin 5x dx 2. S 4 x cos x² dx 3. S sec 2 (3x +…

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Q: cIn2 e*dr = } 1 So Select one: O True O False

A:

Q: EVALUATE EACH OF THE FOLLOWING INDEFINITE INTEGRALS. Show step by step solution. dx

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A: Solution:

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Q: 3 4 dx . (5+2x)' 3. Evaluate

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A: answer is in next step

Q: 20 u(x) = 0.3e(0.5(-x+ 275.1)) + 3.62 21 v(x) = -1.2 log, (0.3(x – 269.73))+4.4

A: We need to find derivative.