The relationship between the Fahrenheit (F) and Celsius (C) scales is given by F = g(C) = c - 2c + 32. (a) Find g-1.

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A: maxima minima question, if it is helpful, like and thumbs up.

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A: Obtain the constant of variation k as follows.

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Q: b) Find the slope of the function f(x) = VI+1at point (15,4).

A: The slope of  f(x) at a point (a,b) or x=a and f(a)=b is given by, df(x)dxx=a or f'(a)

Q: If y varies directly as x and y = 0.5 when x = 6, find the constant of variation k and then…

A: y ∝ xy = kxgiven that;x=6, y=0.5y=kx0.5=6kk=0.56k=112 =0.0833when x=10,y=1012=56=0.833

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Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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A: Given :Rx=x.pxpx=414-x5x=10

Q: Find the domain and range of f(x,y) = e* + /y + 2

A: We can find the answer given below

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A: Given function is f(x,y)=-x4-y4 Find the relative extrema

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A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Given x = π, y = −1.Find a direct variation model that relates y and x.

A: Given: x=π ,y=-1

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A: Put second derivative zero

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Q: For what values of  r does the function satisfy the y =  e rxequation  y"  + 6 y'   + 8y  =0?

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A: Answer

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A: (a)

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Q: Q4:Find the relative extrema of f (x) I+3 I- 2

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Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

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Q: The relationship between the Fahrenheit (F) and Celsius (C) scales is given by F = g(C) = C + 32.…

A:

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Point of diminishing return is the point where d2Rdx2=0

Q: Find the slope for f(x,y) = xeyat P (2,0) in the direction of the line from M(2,0) to N(-1,2)

A: We have to find slope

Q: Given the function f(x) = -x² – 7x + 15, determine the average rate of change of the function over…

A: Given, fx=-x2-7x+15 over the interval -9≤x≤3 To find the average rate of change.

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A: Form a differential equation of first order and simply solve it.

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A: Linear Function  Y= mX+c  m= slope of function  c = Y intercept

Q: y=4x

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.