5 In the linear consumption function cons = Bo + Binc, the (estimated) marginal propensity to consume (MPC) out of income is simply the slope, B, while the average propensity to consume (APC) is cons/inc = Bolinc + ßj. Using observations for 100 families on annual income and consumption (both measured in dollars), the following equation is obtained: cons = -124.84 + 0.853 inc n = 100, R? = 0.692. (i) Interpret the intercept in this equation, and comment on its sign and magnitude. (ii) What is the predicted consumption when family income is $30,000? (iii) With inc on the x-axis, draw a graph of the estimated MPC and APC.

Q: 7. Find the slope of the tangent line to the graph at (1,1): x²y² – 9x² – 4y² = 0 %3D r-9r-4y = 0…

A: find the slope of the tangent line to the graph at 1,1; x2y2-9x2-4y2=0 differentiate the equation…

Q: 3 Find the slope of the tangent line to x/y +yVx = 10 at (1,8).

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Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

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A: Given the function f(x) :

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Q: 18,8grt(10)) 10 f(x) = V2x – 2 compute the instantaneous slope at: (6, v10) Start with two points A:…

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Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

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A: The objective is to find the slope of the tangent line to the graph at the point  (-1,1).

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Q: In the linear consumption function   ˆcons=ˆβ0+ˆβ1inc,   The estimated marginal propensity to…

A: It is an important part of statistics. It is widely used.

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A: Equation of the line in slope-point form is:        m = slope (x1, y1) = point on the line

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: 6. The slope of the line normal to the graph of y = 2 In(sec x) at x is 4

A:

Q: 11. Find the equation of the tangent line at (2, 1) given In y = 4y² – x³ +4

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A: consider the curve         -5+y3=xy2-x  ⋯⋯⋯⋯⋯ (1)  and             dydx=y2-1-2xy+3y2  To find all…

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: 1. Find the equations of the tangent line and the normal line to the curve y = V4x – 3 at the point…

A: 3) Given curve : y=4x-3 To find: The equaton of the tangent line and normal line to the curve y=4x-3…

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Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

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Q: 2х — What is the slope of the tangent line that touches the graph of In(y) +e-'=3y – 4x at the…

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Q: 2. Find the equation of the tangent lines and the normal lines to the curve y = 2x² +3 at the point…

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Q: 18. Find the equations of the normal lines to the curve y = x3 - 4x that is parallel to the line x…

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Q: 4. The slope of the tangent line to the curve y 4. is: 9 - at the point 9, The equation of this…

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Q: 1. Find the equations of tangent and normal lines to the curve whose equation y2 – 6x2 + 4y + 19 = 0…

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Q: Find the equations of the tangent and normal lines to the graph of  (x^2 + y^2)^3 = 8x^2y^2 at…

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Q: Find the values of a and b if the tangent to y = ar² + bx at (1,5) has a slope of 8.

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Q: 7. What is the equation of the tangent line and the normal line to y = x² – 4x + 2 at (4,2)…

A: As we know that; The slope of the tangent line to the curve is equal to the derivative of the…

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Q: Find the slope of the line tangent to the curve y = cos2 x at the point(−π/3 , 1/4)

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Q: 2. Find an equation of a curve satisfying the ff. condition and passing through the point (0, -1).

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Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point…

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