O 15 Find the all the points (if any) where the tangent to the graph of G(x) 3x-6x27x+63 is horizontal.

Q: Let f (x) =2.5 * xsqrt2 − 4.7x. Find the equation of the secant line on the graph of f(x) between…

A: Concept: Equation of the secant: The equation of a secant line given two points (a, b) and (c, d) is…

Q: g(x) = V8x – 1

A: We need to find the range (y-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: Q2: A) Find an equation of the line tangent to the function of x+ (y-x)2 = 9 at x 1.

A: Answer

Q: Q.5 Find the absolute maximum and minimum values of f(x) = x³ – 3x2 – 9x + 25 over the closed…

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Q: In the given equation , find k such that the line is tangent to the graph of the function.   Funtion…

A: Function f(x)=k-x2equation of line is y=-6x+1slope of function should be equal to the slope of the…

Q: Find an expression for the function whose graph is thegiven curve.   The top half of the circle x2+…

A: The given expression is Solve for y Subtract x2 from both sides

Q: Find an equation of the form f(x)=b•a* +c that has the horizontal asymptotes at y = 350, y-intercept…

A: Please refer the attached image for complete solution. THANKYOU.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 3x? – 2x – 8 at x = -2.

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Q: Find the points on the graph of f(x) = 2x³ + 9x? – 60x + 14 where the tangent is horizontal.

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Q: Find the point P on the graph of the function y=sqrtx closest to the point (9,0) The x coordinate of…

A: We have to find the point P on the graph of the function y=x closest to the point (9,0). Also, find…

Q: Find an expression for the function whose graph is thegiven curve.   The bottom half of the parabola…

A:

Q: Find the slope m and the equation of the tangent line to the graph of the function f at the point…

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Q: There is no point on the graph of f(x) = 3x2 4 at which the tangent line is y = 12x- 2. Select one:…

A: We have to consider gi condition is true or false

Q: For what values of x does the graph of f(x) = 2x³ – 9x? – 60x – 3 have a horizontal tangent line?…

A: Given,          fx=2x3-9x2-60x-3 have a horizontal tangent line.

Q: Find all the asymptotes of the curve 3x3 2x2y – 7xy? + 2y3 – 14xy+7y² + 4x + 5 = 0 ?

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Q: State the intervals on which each given function is increasing, decreasing, or constant.

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Q: A molecule is moving along the x-axis such that at any timet > 0 (in seconds), its position from the…

A: Position of molecule from the origin at any time t is given as:

Q: - Find all k so that the graph of y = Er2 kx - + 9 is tangent to the x-axis. 4

A: We have to find all values of k such that the graph of this function will have tangent as x axis.…

Q: Find all values of x such that the slope of the line tangent to the graph of f(x) is 0: f(x) = 3x* +…

A: Given : f(x)= 3x4 +4x3-36x2+6343

Q: For what values of x does the graph of f (x) =x3 – x² +3 have a horizontal tangent? O 2 O and 2 O O…

A: ⚛ Slope is the rate of change of function which is equal tot he derivative of  that function. ⚛  The…

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: O Find the equation of the line tangent to the graph of f(x) = 7x + 3x? – 4x - 8 a %3D

A:

Q: Let f(x) = 6.3x² - 2.4x. Find the equation of the secant line on the graph of f(x) between *₁ = 3…

A: We can find the answer in the following steps.

Q: A3) Find the equation of the line tangent to the graph of f(x) = 2x3 + 8x² – 3x – 6 at x = -2.

A: 1. find the y coordinate by putting the value of x in the function. 2. Find the first derivative of…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: Let f(x)=5.9x^2-4.5x. Find the equation of the secant line on the graph f(x) between x1=6 and x2=12.…

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Q: Find an equation of the form f(x)=b·a¯* +c __that has the horizontal 2. asymptotes at y = 350,…

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Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x3 + 8x² – 2x – 3 at x = -7.

A:

Q: Identify and sketch the graph of the given equation in R3 z = 1- ex

A: A cartesian coordinate system contains 3 mutually perpendicular number lines named x-axis,  y-axis,…

Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: 4 z = lim f(x) y 1 2 3 4 2.

A:

Q: Find the area of a triangle bounded by the y-axis, the line f (x) = 12 − 4x, and the line…

A: From the given information:F(x) = 12-4xSlope of the f(x) is m = - 4So, slope of perpendicular line…

Q: Graph the function f(z) = – 2x´ and draw the tangent lines to the graph at points whose…

A:

Q: Find the set of values of k for which the curve y = (k+ 1)x² – 3x+ (k + 1) lies below the x-axis.

A: We will solve the following

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

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

A:

Q: 24. Find the point of inflection of the curve x3 – 6x2 + 2x + 14.

A: Using formula of point of inflection of the curve.

Q: Suppose f(5) - 9 and f'(5) = = - 3. - An object moves along the curve y³ - 3x² f(x) = 5x = 649. For…

A:

Q: 2 Q5 / Sketch the graph of function y = =+ 3x

A: Given function is y=2x+3x Domain : ℝ-0 where ℝ denotes the set of real numbers  Range : (-∞,…

Q: Use the slopes of tangents to determine whether the function f(x) = -6x²+36x is increasing,…

A: The given function f(x)=-6x2+36x at the point x=4.

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…

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Q: Determine equation in factored form for the function, f(x), shown on the graph. y Intercept (0,6)…

A: By looking at the graph it can be said that the function is of order 3. Here, the x-intercept is…

Q: 52² – 5y? lim (2.)(0,0) 7x2 + 7y

A:

Q: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4. a) Sketch the graphs ofy=f(x) = -2(x – 3)2 + 2 and y=g(x)= 4x – 10 on the same set of axes. b)…

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Q: Let f(x) (2, 16). 5x3 52? 4. Find the equation of the line tangent to the graph of y = f(x) at the…

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Q: Find the point P on the graph of the function y= sqrt(x) closest to the point (6,0)The x coordinate…

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Q: (b) Use the result of part (a) to find the direction in which the function f(x, y) = x³y - x²y4…

A: Given: