Find the equation of the line whose gradient is 3/2 and which passes through the point ,where P divides the join of A(-2,6) and (B,-4) in ration 2:3

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 3x2 – 4x + 8 has a tangent…

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Q: Suppose that the profit (In dollars) from the sale of Kisses and Kreams is given by P(x, y) = 15x +…

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Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x is…

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Q: Suppose that y is directly proportional to x.  If y=6 and x=3, find the constant of proportionality…

A: Suppose that y is directly proportional to x. If y=6 and x=3, to find the constant of…

Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

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Q: Find the number of units x that produces the minimum average cost per unit  C  in the given…

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Q: Suppose that a companys sales volume, y (in thousands of units) is related to its auvertising…

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Q: Find the average rate of change of g(x)= -3x^3 +4 from x=-2 to x=3

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Q: 4. Find the values of x for which the line tangent to the graph of f(x) = 4x2 – 8x + 4 has a tangent…

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Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

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Q: Assume that the rate of evaporation for water is proportional to the amount of water in a bowl. If…

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Q: .  If y is inversely proportional to x, and if y = 16 when x = 5, find the constant of variation

A: Given: y is inversely proportional to x y=16 when x= To find the constant of variation

Q: The average cost C of producing a machine is partly constant and partly varies inversely as the…

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Q: The average rate of change of the linear function f(x) =3x +5 between any two points is_________ .

A: Given that: The linear function f(x) = 3x + 5.

Q: Find the average rate of change of g(x) = - 5x – 1 between the points (-4,19) and (3,-16)

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Q: The rate at which a ceratin disease spreads is proportional to the product of the percentage of the…

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Q: of change of profit with respect to time when 10 units are produced and

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Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

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Q: FInd the equation of a linw whose gradient is 3/2 and which passes through the point P,where P…

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Q: Given a function f(x)=e2x−ex+1, what is the correct form of the relative rate of change R?

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Q: The number of deaths N per week has been observed to be linearly related to the average…

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Q: The monthly profit of a firm is given by the difference between total revenue and total cost for a…

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Q: Suppose that a person learns y items in x hours, as given by y = 40/x, 0sxs 4. Find the rate of…

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Q: what is the gradient of 3x + 2y + 14 = 0

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Q: Suppose that the intensity of a point light source is directly proportional to the strength of the…

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Q: The description of body-heat loss due to convection involves a coefficient of convection, Kc, which…

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Q: If the constant of variation of h varies directly as k is 11, then what is h when k is 77?

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Q: proportional

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Q: If the rate of change of Q is inversely proportional to Q (where Q > 0), and if Q(0) = 250 and Q(2)…

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Q: Given a function f(x)=e^2x−e^x+1, what value of x makes the relative rate of change equal to one?

A: We first find f'(x) using chain rule f(x)=e2x−ex+1f'(x)=2e2x-ex

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

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Q: 9. Factor and sketch f (x) = -2x° – 10x + 18x + 162x³ + 216x² %3D b) State when the IROC is zero c)…

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Q: As a result of urbanization, the temperatures in Paris have increased. In 1891 the average daily…

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Q: The illumination of an object by a light source is directly proportional to the strength of the…

A: The illumination of an object by a light source is directly proportional to the strength of the…

Q: when f(1) is ration F10 f(x) = compute the instantaneous slope at: (0, ) Compute Ar and Ay Compute…

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Q: Suppose that y is inversely proportional to square root of x. Find the constant of proportionality k…

A: Given : y is inversely proportional to square root of x

Q: Express the statement as a formula that involves the given variables and a constant of…

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Q: D. Now that you know the equation of the line of best fit, use the equation to estimate the BMI of a…

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Q: At a price of $40 per item, 120 items are demanded by consumers, but at a price of $70 per item,…

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Q: 3.Find the coordinates of the points on the curves y =x3 -3x2-12x+10 with the gradients -2.

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Q: An accessories company finds that the cost and revenue, in dollars, of producing x belts is given by…

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Q: If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) = 250, and Q(2) =…

A: Given problem:- If the rate of change of Q is inversely proportional to Q where Q > 0. If Q(0) =…

Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

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Q: The amount of heat H (in joules) required to convert one gram of water into vapor is linearly…

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Q: 12. If a substance decomposes at a rate proportional to the amount of the substance present, and the…

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Q: 2. Estimate the slope of ffx) at the point: a) where x = 3 b) where x = 2 f(x) 4 2 1 2 3 4 5 6 3. 1.

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