i. Consider the function f(x)=4x3+36x2-480x+12 a. Find the slope of this function at x=2. b. Give an example of a straight line which has the same slope.

Q: Find the slope of the secant line to the function f(x)=4x²- 3x, through point P, where x= - 1, and…

A: To find the slope of secant line PQ to  the function f(x)

Q: For Exercise, estimate the x- and y-intercepts from the graph. 3-2 –1

A:

Q: Find the equation of the line that is tangent to f(x) = 2x² and is parallel to 16x - 4y =11.

A:

Q: The slope of the secant line of the square root function at x=4 and x=9 is [a], and the y-coordinate…

A:

Q: b. Find the slope of the curve at the given point. y* = 2x; (648,6)

A:

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: Find the equation of the line tangent to the graph of f(x) = 3x³ + 6x? – 4x – 3 at x = -6,

A:

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: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

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: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

A:

Q: What is y-intercept of f(x)=2^z

A: The objective is to find the y-intercept of the function fx=2x

Q: Find the slope of the line tangent to the graph of the function at the given value of x. 12) y = x4…

A: The given equation is y=x4+3x3-2x-2, x=-3. Find the slope of the line tangent to the graph of the…

Q: A JJC student surveys 30 randomly selected full-time students to determine the relation between the…

A: The answer is attached below,

Q: Find the equation of the line tangent to the graph of f(x)=5x^{3}+6x^{2}-6x-3

A: This question is related to functions, We will solve it using given information.

Q: A landscaping company charges $49 per cubic yard of mulch plus a delivery charge of $27. Find a…

A: Given A landscaping company charges  per cubic yard= $49 delivery charge =$27

Q: If f(x) is the slope of a trail at a distance of x miles from the start of the trail, what…

A: Given that f(x) is the slope of a trail at a distance of x miles from the start of the trail.

Q: The slope of the line that is parallel to f(x)=2-16x is

A:

Q: The slope of the line that is parallel to f(x)=2-14x is…

A: Recall:  The slope of the line that is parallel to the curve f(x) is same.

Q: The range of the function f(x, y) = 16-4x -9y² is equal to:

A:

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

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

A:

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

A: NOTE: Refresh your page if you can't see any equations. . the revenue and cost functions are

Q: Find the point(s) on the graph of y = (2x4 + 1)(x - 5) where the slope is 1.

A: Our Aim is to find the point on the graph of y=(2x4+1)(x-5) where we have slope=1

Q: Find the point at which the line ƒ(æ) = 2x intersects the line g(x) = 4x + 12

A:

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=x3−4x2+5x.…

A: The slope of the secant line between x = −1 and x = 2 on the graph of the function f(x) = x3 − 4x2 +…

Q: At x = 2, the slope of the curve y = 2x3

A:

Q: Find the equation of the line tangent to the graph of f(x) = 4x + 5x? – 4x – 3 at a = -7

A:

Q: Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

A: Given that Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Find the slope of the curve y = 2x* + 3x³ + 2x2 – 1 at a point where it crosses the x-axis

A: y=2x4+3x3+2x2-1 A curve crosses the x-axis at a point where its y-coordinate is zero. Therefore…

Q: What is the y-intercept for f(x) =;|2x + 6| – 1? А. (2,0) В. (о,-2) C. (0,6) D. (0,-1) E. not given

A:

Q: find the slope of the curve at the point indicated y = x3 - 2x + 7, x = -2

A: Slope of the curve is determined by taking the derivative of the given function:   The given…

Q: What is the slope of the function? f(x) = x² +xy – y² = 5 at (1,1)? A. 3/2 B. No slope C. -3/2

A: we have to find the slope of the function . Given : f(x) =x2+xy-y2=5 at (1,1).

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 point(s) on the graph of y = (x^2 + 3x − 1)/x where the slope is 5

A:

Q: If f(x)=3x^2-2, and g(x)=f−1(x), what is the slope of the curve g(x)=f−1(x) at the point (10, 2)

A: Given f(x) =3x²-2  And g(x)=1-f(x) =1-(3x²-2) =1-3x²+2 g(x)=-3x²+3 For slope of curve g(x)…

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).

A:

Q: Use the function’s equation .f(x) = 2x2 + 12x + 703, and not its graph,to finda. the minimum or…

A: Given function is fx=2x2+12x+703. We know that if fx=ax2+bx+c then maximum or minimum value occurs…

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: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = 5x° –…

A: Given function is f(x)=5x3-5x2+2x+3

Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

A:

Q: Let f be the linear function  f(x) = −6x + 7. a) wha is The rate of change of f ? b)and what is The…

A: f(x) = −6x + 7 We need a) what is The rate of change of f(x)? b)what is The graph of f and slope and…

Q: Find the slope of f(x) = In(6x) at (2, 2.48). Use a graphing utility and round to the nearest…

A: Given: fx=ln6x To determine:  Slope of the given function at 2, 2.48

Q: In the open interval (0, T1/2) , find the point where the slope of the curve is 4? y = 3x* – 8x +…

A:

Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

Q: What is the slope of the function f(x) = x² + 2xy – y? = 3 at (1,1)? A. 0 B. No slope C. 1

A:

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: Find the linear function with the following properties. f(−5)=−1 Slope of f=−4

A:

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

A:

Q: 2) Find an equation for the slope of the graph of y=x²+2x at any point.

A: