Find the solution of the following differential equation. Take the constant of integration to be zero xy' + In(x)y = 0

Q: f(x) = In(4 x) domain vertical asymptote x-intercept (x, y) =

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Q: 5. Suppose that f(n) satisfies the equation 5. f(m + n) = f(m) + f(n) – 2f(mn) for all integer m,n…

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Q: valuate the following indefinite integral. 4 +u -du u * 4 + u du% = u

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Q: f(x) = 7 - 18x + 3x2, [2, 4]

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Q: S Integrate the falloing funclinne the given kesinms aver R: y=4x-x and y =X

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Q: x +5 Given the function g (x) find g' (x) x² +6x O 8' (x) = x* +6x³ +5x² +30x x² (x+6)? O 8' (x) 2x3…

A: Given, gx=x2+5x2+6xDifferentiate…

Q: x+x+1 Use partial fractions. 2x2+2+x3+x

A: The given integral is;  (x2+x+1)/(2x2+2+x3+x).

Q: Convert the Cartesian coordinates (-2, 2/3) to polar coordinates. (4, 150°) (4, 120°) O (6, 120°)

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Q: y3 r³ – 4x – 1 = 0 3 Find dy/dx and explain why dy/dx is always positive. Where on the interval [0,…

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Q: The total revenue R earned per day (in dollars) from a pet-sitting service is given by R(p)= –…

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Q: Convert the Cartesian coordinates (3, 3) to polar coordinates. (3√2, 45°) (3√2, 60°) (3√2, 30°)

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Q: Find the limit. Use a graphing utility to verify your result. (Hint: Treat the expression as a…

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Q: A rectangle is constructed with its base on the x-axis and its upper two vertices on the parabola y=…

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Q: Compute the determinant of 11. 0260 0 0 3 7 8 00 4 Answer: enter number

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Q: dy Find for the curve: x dx :4 cos t, y = 16 sin t, 0<t < 2T

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Q: evaluate lim f (x) and lim f(x). X--00 -5 + 2e-* f(x) = %3D 5e-+6

A: f(x)=-5+2e-x5e-x+6limx→∞f(x)=limx→∞-5+2e-x5e-x+6             =limx→∞-5+2ex5ex+6…

Q: Given -x²+4x +5 dx. Using trigonometric substitution, what is the integral form in terms of 0? Sa A…

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Q: A (x -3) dy X +y -.

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Q: In a liquid culture, the number of bacteria grows at a proportional rate depending on the number of…

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Q: Consider sin °x cos2x dx. f we let 4=cos x, the integrand can be transformed to

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Centerville is the headquarters of Greedy Cablevision Inc. The cable company is about to expand…

A: Given that Centerville is the headquarters of Greedy cable vision Inc. The cable company ia about to…

Q: Convert the polar equation r² = 2tan 0 to a Cartesian equation. %3D Ox3 + y3 = 2 y x3 + xy² = 2 y…

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Q: NOTE: Enter the exact answer. dy dx

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Q: Use the integral test to determine whether the series is convergent or diverg n2 n3 + 1 n = 2…

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Q: Convert the polar coordinates (1, 111) to Cartesian coordinates. O(V3/2, -1/2) O (1/2, -V3/2) O…

A: The objective of the question is determine the Cartesian co-ordinates.

Q: If f(x) (t3 + 7t + 7)dt then f"(x) =

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Q: g(b) Use the Substitution Formula, f(g(x)) g'(x) dx = f(u) du where g(x) = u, to evaluate the…

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Q: Let 7(t) = Find '(t) F (t) =

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Q: Find a unit vector that has the same direction as the vector a and the opposite direction of the…

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Q: a b and c pls

A: To evaluate the following  given limits.

Q: Given /V-x²+ 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? Sa.…

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Q: A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except for…

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Q: Solve the differential equation y tana+y = 3 sin r. %3D sin I A sin a B sin r + C Cos a c - sin I +…

A: We have to solve the differential equation: y'tanx+y=3sinx

Q: Question A street light is at the top of a pole that has a height of 17 ft. A woman 5 ft tall walks…

A: Here we use the similar property of triangle

Q: Using u = 2 + 2x*, then the integral x³(2 + 2x4)3 dx becomes 1 u3 du- 8 This evaluates as 1 1 8 12

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Q: b- Lim (3x³+x²-2/x²+x-2x³+1)

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Q: sec (In x)dx

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Q: Find the exponential function y = Cekt that passes through the two given points. y (0, 7) 5 4 3 2-…

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Q: 12 x*y dx dy 12 I*y dx dy i

A: topic - double integration

Q: Given the vector-valued functions - 4t ü(t) = e-i+ e-j – tk ö(t) = tỉ – 4tºj + 3k -21 %3D (i(t) ·…

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Q: 1. | (In x)² dx_ Use integration by parts.

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Q: ven -5z'ydz - 2rzdy+ (z+ y)* dz where C is the helix parameterized by r (t) = (34, sin (t), con (t))…

A: To set up the given  line integral in terms of t.

Q: [43 80 -60 Let A = Find an invertible matrix X and a diagonal matrix D such that [30 60 -42] D =…

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Q: Evaluate the integral f SRry dA, where R is the triangle x + y 0, y > 0. NOTE: Enter the exact…

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