Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. xydx - (x + 2)dy = 0

Q: 2 4 | 6x V1+4x dx

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Q: Let f(x, y) = xe*-y and P = (5, 25). Calculate ||V fpll- (Express numbers in exact form. Use symboli...

A: Solve the following

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Q: A cylindrical tank with radius 3 m is being filled with water at a rate of 4 m3/min. How fast is the...

A: We can find the required answer as below.

Q: x" +x +1 = 0 Homogeneous O Not homogeneous

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Q: If 7x5 - 5y7 = 5x² + 7y°, find dy/dx. dy dx II

A: Given problem:- If 7x5 - 5y7 = 5x2 + 7y5 , find dy/dx.

Q: Say whether l'Hospital's rule applies. If it does, use it to evaluate the given limit. If not, use s...

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

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Q: You have been given the function fcx,y,z)= y Find the valve of the partal derivotives below- Don't r...

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Q: A. y II

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart...

Q: Evaluate the integral. 3* dx 3* +4 Solution:

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Q: 4ln? (x) dx

A: I have stated the used formulas in the solution

Q: Obtain the general solution by separating variables. SHOW YOUR SOLUTIONS. tan2y dy = sin3x dx

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Q: Find the rectangular coordinates of the point whose cylindrical coordinates are given. a) (3, pi, e...

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Q: Consider the following function and express the relationship between a small change in x and the cor...

A: Given f(x)=cot 8x

Q: Determine whether the series converges. >7k-1.01 k=5

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Q: Find an equation of the tangent plane to the surface at the given point. 6x2 + 2y + 4z? = 30, P= (2,...

A: Explanation of the answer is as follows

Q: Find the slope of the tangent to the curve y² In(x) + x<y = 5 at (1, 5).

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Q: Find the directional derivative of f(x, y, z) = xy + z at the point P = (2, –6, –-1) in the directio...

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Q: Given the system of linear equations as per picture. i. By using a form of [A][X] = [B], derive LU d...

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Q: If xy? – y3 = 5, find y'. %3D y' = %3D

A: Concepts you should be fimiliar with:1. Implicit differentiationIn implicit differentiation, we diff...

Q: Find the critical numbers of f (if any), find the open interval(s) on which the function is increasi...

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Q: vector. 19. —3і + 7j 20. (-4, 2, 4) 21. 8i – j + 4k |

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Q: 3xey + yex = 4   Find dy/dx by implicit differentiation

A: Please see the answer below.

Q: If xe = 1, find dy/dx. dy dx

A: The detailed solution mentioned in step 2

Q: Let a = ci + j and b = 8i + 6j. Find c so that the angle between a and b is Round your answers to fo...

A: Topic = Vectors

Q: GROWTH OF TABLET AND SMARTPHONE USERS The number of tablets and smartphones in use worldwide (in mil...

A: Given query is to find the rate of change in 2011.

Q: Find the equation of the tangent line to the graph of the given function at the point with the indic...

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Q: Compute the value of the improper integral. (If the integral diverges to o, type 00; if the integral...

A: Integral Test : Suppose f(x) is continuous , positive and decreasing function on the interval [k,∞) ...

Q: Plot the vector field F = (y,sinx) using the viewing window (-2pi,2pi)x(-2pi,2pi

A: Given:       F = ( y , sin(x) )      viewing window :  (-2pi  ,  2pi)

Q: Determine the direction in which f has maximum rate of increase from P. f(x, y, z) = x²y/z, P = (-1,...

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Q: y(x) =x' (2x – r²)

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Q: SOLVE: 100е0.001t p(t) 9 + e0.001t Where t=50 PLEASE SHOW ALL WORKINGS

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Q: 6. lim In(2+x)-In(1+x) 5. lim In(1+x*)-In(1+x)]

A: Topic = Limits

Q: Use the Chain Rule to evaluate the partial derivative at the point (q, r) = (2, 3), where h(u, v) = ...

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Q: Suppose that a company's sales volume y (in thousands of units) is related to its advertising expend...

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Q: A small island is 6 miles from the nearest point P on the straight shoreline of a large lake. If a w...

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Q: Newton's method and the following formula are used to calculate the true interest rate of a loan, wh...

A: In this question we have to apply Newton method.

Q: Use logarithmic differentiation to find the derivative of the function. y = x4 sin(x)

A: We know that logrithm property is  ln(xm) = mln(x) And derivatives of d(lnx)/dx  = 1/x    Here i att...

Q: 4. S sinºx dx

A: This question can be solved by applying the concepts of integration of trigonometric functions.

Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: If a snowball melts so that its surface area decreases at a rate of 9 cm2/min, find the rate at whic...

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Q: Calculate M6 for f(x) = 5 · In(æ³) over [1, 2].

A: Given:   f(x)=5.ln(x3) over [1,3]

Q: (3) Find a degree-4 polynomial that has integer coefficients and zeros v3 and 2i (A) P(x) = (x² – 3)...

A: We are asked to find the polynomial

Q: A particle moves according to a law of motion s = f(t) = t3 - 15t2 + 72t, t2 0, where t is measured ...

A: Solution

Q: 1. Find 2(3z + 4)² dz.

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Q: INTEGRATION OF TRIGONOMETRIC FUNCTION Evaluate the given integrals. Show the complete solution. Iden...

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Q: 3) = + sin (4) r = y(In y- In r+1)

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Q: 8) 20 objects are arranged into a 5-by-4 matrix as follows: 12 13 14 15 11 22 23 24 25 21 31 32 33 3...

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Q: Area of Surface of Revolution Find the area of the surface of revolution generated when the given c...

A: Surface of revolution