If f(z) 20x + 13, find the slope of the secant line between the values of a1 = 1 and x2 = 5. %3D

Q: What is the slope of the line tangent to the curve 4y² +xy – 2x2 = 3 at the point (-1,–1)? -5 (B) 4

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Q: Differentiate implicity to find the slope of the following curve at (0,3) x^3+yx^2+x^2-3y^2=0

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Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: Find the equation of a line normal to the graph of y = 3x+5/x−1 at x = 3

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Q: For what point on the curve of y=5x^2+9x is the slope of a tangent line equal to -21?

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Q: Q4) Determine slope of a curve y = x* +1 at x = 1

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Q: Find the slope of the line tangent to the graph of x^2+2xy^2+3y=31 at the point(2,-3)

A: The slope of the tangent line can be calculated by using the derivative of the function at the point…

Q: Find the slope of the following curve at x=5 y=1/x-3

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Q: Differentiate implicitly to find the slope of the curve at the given point. x^2+y^2=1; (2,3)

A: The given curve is

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: What is the instantaneous slope of Y -5 at X = 5? o 1 O -1

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Q: Does y' = −4(y − 5) have a solution that tends to∞as t →∞?

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Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: What is the slope of the curve corresponding to the ff. function at the point (-3, 9/2) 1= 2²-₂ y O…

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Q: 1) What is the slope of the graph y = 5e³x at x = 1?

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Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

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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: The gradient of the line with equation y = 2x – 3 is: 3 O 2 O 3 O -3

A: Here, the given equation of a line is: y=2x-3

Q: Find the slope of the curve x2 + y3 = 2 at each point wherey = 1

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Q: 2. If the marginal profit is P'(x) = x3 – 2x + 100 and the profit for selling 10 items is $2000,…

A: given marginal profit euation isP'(x)=x3-2x+100profit for selling 10 items is $2000to find profit…

Q: 17. Given the curve y = 3x³ – 4x² +7, find the slope of the tangent line at the point when x= 3.

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Q: 1. What is the instantaneous slope of y = 5 at x = 5?

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Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

Q: Find the slope and equation of the line tangent to f (x) = x2 +9 at the point (1, 10).

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Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: End the Vellue of g) if the slope of the Curve y= x-2x is (2)?

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Q: If the slope of an arbitrary curve y=f(x) at a point p0(x0, f(xo)) is S. So do you think the slope…

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Q: Suppose f(x)=4/x. What is the slope of the line tangent to f when x=3?

A: To find the slope, means to find the derivative. Formula: ddxxn=nxn-1

Q: Differentiate implicitly to find the slope of the curve at the given point. 3-y3=D5; (3,5) %3D 0 2…

A: We have to find the slope of the curve at the given point. For this we will find derivative dydx…

Q: ) Find the slope of the curve x +y3- 6x²y = 0 at x = 1

A: Slope of a curve: For non- linear functions, the rate of change varies along the given curve. So,…

Q: Use the implicit to find the slope dx of the given function y2 - x3 = 41 at (2,-7)

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Q: Differentiate implicitly to find the slope of the curve at the given point. xy +x= 2; (1,1) OB. -2 1…

A: dy/ dx =  slope at  any point (x,y)

Q: Find the slope of the curve at the given point. y3= x3/2a-x   at (a,a)

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Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

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Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: What is the equation of the line that crosses the y-axis at 2 and h. a unit rate of ?

A: We have to find the equation of the required line. The required line crosses the y axis at 2, that…

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 5/2 y = 9x…

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Q: Identify the slope from the line of best fit y = |- 0 NIN 31 0-²

A: Solution-: The given regression line is  y=27-13*x We want find the slope of the regression line

Q: find the x-values for the graph of y=2/3x2+4 where the tangent line has the greatest slope, and…

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Q: Find an equation of the line that is tangent to f(x)= x^3+2 and parallel to the line 3x-y-4=0

A: Given f(x)=x3+2

Q: find the slope of the line tangent tothe graph of ƒ(x) = 5 at P(1, 5).

A: We know the slope of the tangent line to the curve y = f(x) is dy/dx.

Q: y is a linear function of x with slope −4. If y is −3 when x is −1, what is y when x is 8? You do…

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

Q: 1) Find the slope of the line tangent to the graph of y=x²+1at(2, 5).

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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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Q: What is the slope of the line tangent to the graph of y=[9x^2]/[x+2] at x=1?

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Q: Find the equations of the line tangent to the curve y = x³ + x , where the slope is equal to 4.

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Q: At what point on the curve x = 3t2 + 1, y = t3 – 5 does the tangent line have slope ? 2

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