The general solution of the 1st-order ODE, (x + 3y - 2)y' = e-3(x+3y-2)² -y-1/3(x-2) is

Q: Differentiate. y = In [(x + 6)* (x + 7)® (x + 3)5] d [In [(x +6)*(x +7)® (x + 3)°]] = ] dx

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Q: 2. Start: y= x What transformations occurred? End: y =-9(x-8)² + 5

A: First   shift the graph right by 8 units.  Then  strecth by (-9) units.  Then  shift upward by 5…

Q: on y=1-x+y=xy given that y(0) = -3

A: Given differential equation 12y' = 1 - x + y - xy Given that y( 0 ) = -3

Q: Integrate S(x-4)(x²-8x+12} dx

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Q: y-y1=m(x-x1) y-(-1)=4/5(x-(-1)) y+1 = 4/5x + 4/5 y=

A: The given equation is y+1 = 4/5x+4/5      y = 4/5x+4/5-1         = 4/5x-1/5

Q: let h(y)=(y-3y2)5(y2+2)6  h'(y) in simplified form.

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Q: f(x) = 3x cos ƒ'(x). -1 (2x + 4) − √√/19 − 3x², find

A: Given: fx=3xcos-12x+4-19-3x2. To Find: f'x.

Q: Find 一 az ay -0 if z = (6x + 5y) 7.

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Q: Graph. -2x - 1 if x 1

A: The given function is f(x)=-2x-1;  if   x<-1        1    ;  if-1≤x≤1    2x-1;  if   x>1 Obtain…

Q: If f(x) = 18x2 + 96 3 ³√√x' find f'(8).

A: Given Function:- fx=18x23+96x3

Q: 2. 2xydx+(4y+3x²)dy = 0; y(1)=1 {y²+x²y³ =2}

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Q: If r(y) = e³y² +3 find r'(y) =

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Q: Provide the table of signs for both f' and ff'.

A: Given function is fx = x+334x-12 = x4 +12x-1+16x-12 +114. Also, given that f'x = x-9x+324x-13    and…

Q: Suppose f(x) = (x² + 1) · g(x), where g(æ) = mx + b. Find the slope, m, of g if f(0) = 3 and f' (1)…

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Q: y'-2 xy=2 y (0)=1

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