Solve the corresponding differential equation given the general solution via elimination of arbitrary constants: x³ (a+x) 9-2 (³-4xy-y³) dx + 3x²ydy = 0 O (3x4 - 4xy-3y) dx + 4x²ydy = 0 O (24-4x²y²-4) dx + 4x³ ydy = 0 O (3x² - 4xy-3y²) dx + x²y²dy = 0 y² = =

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A: Given: fx=4x+8x To find: Intervals on which function is increasing or decreasing, point of relative…

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A: We have given graph of functions f and g From given graph  f0=4 g0=4 g3=1 f1=2 g2=2

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A: Find below the given  elaborated solution

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Q: Find the indefinite below using the substitution x = tan (8). x √ √1² dx, for −1<x<1.

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Q: If x² + y² = 100 and dy/dt = 4, find dx/dt when y = 6. (Enter your answers as a comma-separated…

A: Topic = Derivative

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Q: Condense log(x-1)+log(x+2)=1

A: Solution:

Q: Evaluate 112 (2x - y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 2

A: To evaluate the given line integral

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A: Let's evaluate the given integral.

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Q: cricital numbers of f(x): ng the second derivative value test, list the critical point(s) that can…

A: f(x)=x4(x-3)7 Critical points can be calculated using f'(x)=0

Q: 3. Evaluate the following integral COS X | sinx+cosx sin x + cos x O a. In\sinx + cosx| + C O b.…

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Q: Find a formula for the general term an of the sequence assuming the pattern of the first few terms…

A: We can solve this as follows:

Q: Calculate the derivative of the following functions. Use the rules for derivatives. a. w(x) = x² +…

A: Note:As per our guidelines we are supposed to answer only 3 subparts if there are multiple subpart…

Q: (16x+ 54-6) dx + (3x +y -1) dy =0

A: To solve the following differential equation.16x+5y-6 dx+3x+y-1 dy=0

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Q: c. What was the mean change your answer using bar notation. 13 - 4.93. 50 6.) a. Describe two ways…

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Q: 2. Solve the following a) Sketch the solid which volume is expressed by dydzdx b) Sketch the solid…

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Q: Write the sum using sigma notation: cos(4) + cos(13) + cos(22) + cos(31) + ... = n=0

A: Let's write the sum using Sigma notation.

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Q: ← Find the derivative of the function y = (5x+1)3³ (4x+1)-². dx 11

A: Given query is to find the derivative of the expression.

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Q: 2. Solve the following integral (secx - tan x) secx dx O a. tanx + secx + C O b. secx - tanx + C O…

A: Solve the intregal

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Q: Mike Branson invested his summer earnings of $3000 in a savings account for college. The account…

A: solution:-Principal amount, P=$3000Interest rate, r=5.5%Time , t=3 months=312 years

Q: Which of the following integrals corresponds to the volume of solid generated by the rotation of the…

A: Topic = Volume

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Q: 23. x= 4 sint +1, y = 3 cost - 2

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Q: 2. A thermometer reading 18°F is brought into a room, the temperature of which is 70°F. One minute…

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Q: below

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Q: Write the expression log563 using log53 and log57 EXPAND

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A: Please see the below picture for detailed solution.

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A: need to find out the correct differential equation.

Q: or problems 1-3, prove the given identity. 1. tan(-x) cos x + cscx sinx = 1 - sin x

A: Prove the Identity

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