Find the Limit (when r goes to 0) of the value of the x-intercept of the line PQ and the x-axis.

Q: Given that f(7) = 9 and f'(7) = -3, find an equation of the tangent line to the graph of y = f(x) at…

A: Given that f(7) = 9 and f'(7) = -3. Here, the points x,y=7,9 and the slope is m= - 3. Note that, the…

Q: Given the function f(x)=x^3+9x^2+19x+4, determine all coordinate points (x,y) on the graph of f such…

A: Differentiate the given function and equate to -5 and find coordinate points.

Q: For what values of x is the graph of y = re concave down?

A: Given function, y=xe-4x The graph of y=f(x)  is concave down on the intervals where  f''(x)<0 Use…

Q: For the function g(x)=3/5 x+9 if you graph the yy-intercept and then use the slope to go up and over…

A: to find the slope in increasing order, let take the value of x.

Q: Find the point at which the line f(x) = - 2x +4 intersects the line g(a) = -a

A: Given, f(x)=-2x+4 and g(x)=-x

Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: snip

A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: For the function y = ax3 +bx2 +cx , there is a point of inflection at (1,-3) and the slope of the…

A: We find the second derivative using the power rule Given that, at x=1 there is a point of…

Q: For the curve f (x) = -2(3)" +3, the y-intercept occurs at:

A: We know that as y intercept x=0.

Q: Find the slope of the curve Y = Vx at the point P (4, 2).

A:

Q: Find the slope of the line that is tangent to the graph of f(x) = x° + 2 x³ – x² + 2 at x = 1. а) О…

A: The objective is to find the slope of the line that is tangent to the graph of f(x) at x=1.

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Given the graph of f (x) below and g(x) = 3x + 7 %3D which is the distance between the two y-…

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Q: D. FIND THE SLOPE AT TGE POINTS INDICATED y= x2 – 5x + 4 1. @ (1,0) 2. у 3 @ (2, %) (x²+ 4)

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Q: Given the functionf(x)=(x-1)', find the slope of the line tangent to the graph of fat the point…

A: Given :

Q: For the curve f(x)3x + x, find the slope of Mpo of the secant line through the points P= (1, f(1))…

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Q: At the given point, find the slope of the curve or the line that is tangent to the curve, as…

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Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…

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Q: Use the graph below to determine that slope of the secant line on f(x) from x-1 to x-3. 5 4 3 2 y =…

A: use the graph for finding the slope of the secant line.

Q: For the function f(x) = 2x^2 +7x –6 Find the slope of f(x) at x = 6

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Q: for the function f(x)=11x^3-x, find the slope of secant line at interval [1, 1.01]

A: We have given a function f(x).

Q: (d) Show that the slopes of the graphs of f and f1 are reciprocals at the given points. r(9)…

A: Given:f(x)=x-5f-1(x)=x2+5

Q: Find the slope of the curve at the point indicated, where t = 2 * 1 2. y = (t-1) 4 X = t+2

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Q: . Find the x-values for the two discontinuities:

A: Given, f(x)=(x-3)(x-1)(x2-4x+3) We need to evaluate discontinuities.

Q: Find the value of x for which the line tangent to the graph of f(x)=7/2x^2−5x+1 is parallel to the…

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Q: Find the value of slopes of the curves at a given points:   x²-2x-8y +33 = 0 at P (2, 33/8)

A: Given: x2-2x-8y+33=0 at P2,338 We know that for any functiony=fx at pointx1,y1, slopem of curve is…

Q: r f(x)=x^2/(1+x), determine the concavity of the graph o

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Q: The Range of y = [2x + 1] is Z, TO F

A: As given function is Greatest Integer Function and we Know that greatest integer function is…

Q: Find the exact lenght of the curve. when 0 is less x and x is less than or equal to 1 y=2+2x3/2

A:

Q: Find the y-intercept of the line tangent to the graph of f(x) = 4/æ at x = 9. O 4 Answer not listed…

A: Slope of tangent is obtained by differentiating the function f(x).

Q: For the function f(x) = -2x^2 -2x + 8 find the slope of the secant line between x= -1 and x=1

A: The equation of the function is fx=-2x2-2x+8.

Q: Find the slope of the curve at the indicated point. y = x2 + 3x - 5, x = 2 O m = 7 O m = 2 m = 10…

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Q: For what values of x does the graph of f(x) =x³ + 9x² +x + 5 have a horizontal tangent?

A: GIVEN : f(x) = x3 + 9x2 + x + 5

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: If fx) =vx+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: Find the slope of the line that connects the points x = a and x = a + h for f(x) = 2x^2

A: Given,        The slope of the line that connects the points x=a and x=a+h for fx=2x2.

Q: What is the slope of the tanget line of the function below at the given point f(x) = (6x + 7)° x =…

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Q: For the curve7(x) =x + x, find the slope of Mpo of the secant line through the points P= (1, f(1))…

A: Given curve is We know that slope of secant line joining points P(1,f(1)) and Q(4,f(4)) is

Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

A:

Q: Let f(x) =4x divided by x -3. Find the slope of the secant lines on the graph of F through P(5, 10)…

A: f(x)=4x/(x-3) P(5,10) and Q (6, a)  (say) a= f(6)= 24/3 =8  Q(6,8) is

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: Given the relation x² – xy + y³ = 11, determine the slope of the line tangent to the curve at (-1,…

A: Explanation of the answer is as follows

Q: Substitute c = 2 in the formula for slope as follows. %3D + Ax) - g ( lim Ax- 0 m = Ax

A: We have to substitute in the slope formula.

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: Find a formula for the slope m of the graph of f at the point (x, f(x)). Then use it to find the…

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Q: find all the values of x at which the curve has a slope of -1. f(x) = 5 +x -3x^2

A: Given function, fx=5+x-3x2 And slope = - 1 i. e. f'x=-1

Q: W) = 3 = 1, x2= 3

A: Given: f(x)=43x-1; x1=1, x2=3

Q: . Given the relation x2 – xy + y3 = 11, determine the slope of the line tangent to the curve at…

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Q: O Find The Slope og xy=8 at The point (a,2) O a O - 1 O a O d O c O b

A: