Find and graph the coordinates of any local extrema and points of inflection of the function y = x2 - 10x + 24.

Q: Find the slope of the secant line between x = 3 and x 5 on the graph of the function f(x) = -2x2 +…

A:

Q: The intersections with the abscissa axis of the image function are: f (x) = x2 + 10x + 21

A:

Q: Determine the missing coordinates of the points on the graph of the function.

A: The missing coordinates are given in the following graph as follows.

Q: Graph the function f(x) = coordinates are -2,0, and 1. 2a? and draw the tangent lines to the graph…

A: Sketch the function.

Q: Sally is analyzing a circle, y2 + x2 = 9, and a linear function g(x). Will they intersect?  Yes, at…

A:

Q: The level curves of the function f (x, y) = /2x² + y² – 1 are

A: Explanation of the answer is as follows

Q: List the x-values in the graph at which the function is not differentiable. 3 -2 - 1 1 3,

A:

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: Find the critical points of the function f(x)3D7X2-14x.

A: Need to find critical points

Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: f(x) = -(x + 1).

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given function: f(x)=xx+3

Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 6, (15,…

A:

Q: Determine all critical points for the function. 5) y = 3x2 - 96x

A:

Q: find and classify the stationary points of the function f(x)=x^3-2x^2+2

A:

Q: Sketch the graph of the function. f(x, y) - 4 - x - 4y2

A: Sketch the given function

Q: y x3 - 2x*-5x + 2

A: Second Derivative Test : Consider the given function f(x) .Find Critical point , f'(x)=0 (say) 'c'…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the function, fx=x-23x-1 To calculate the double derivatives of the given function,…

Q: Determine the equation of the vertical trace of the function g(x,y)=-x^2-y^2+2x+4y-1 corresponding…

A: To find equation of vertical trace we need to substitute value of variable in the given equation of…

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x²-20x а. 1+x? b. y=- 1-x?

A:

Q: х-у+2z (2,0, – 3) 2x + у-z'

A:

Q: Find an equation of the line tangent to the graph of f(x)=4/x at (-8,-1/2)

A: Given: fx=4x  , -8,-12 Formula Used: Equation of tangent line is given by y-y1=f'x1x-x1

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

Q: The graph of f(x)=3xf(x)=3x  is reflected about the yy-axis and stretched vertically by a factor of…

A: Given,         The graph of f(x)=3x  is reflected about the y-axis and stretched vertically by a…

Q: find out the concavity, points of inflection, local maxima and minima and sketch the curve of the…

A: Given function is: y=x2-10x4 Then we get, dydx=4x2-10x3×2x-10dydx=8x3x-5x-103 The function has its…

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

A:

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

A:

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

A:

Q: Consider the function of y = 5x + 2x- 3x and find the maximum and minimum points.

A: Without wasting any time, differentiate the function w.r.t x on both the sides, dy/dx = 15x2 + 4x -…

Q: Find the range of the function y =1+ x2

A: Introduction :

Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: Determine whether the equation defines y as a function of x X^2-4y2=1

A:

Q: Find the point on the graph of the function f(x) = (x + 5)2 that is closest to the point (1,3). %3D

A:

Q: Sketch the curve: f(x) = x^4 - 6x^2

A: solution:-f(x)=x4-6x2Domain=(-∞, ∞)x-interceptsy=f(x)=0f(x)=x4-6x2=0x2x2-6=0x2(x+6)(x-6)=0(x+6)=0,…

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

A:

Q: Find the slope of the graph of the function x2+y2=xy+1/4 at (1/2 , 1/2)

A: Given function is Differentiating both sides with respect to x, we get

Q: Find the point on the graph of f (x) = 4 − x2 that is closest to the point (0 , 1).

A: Given function f(x)=4-x2 To find the point on the graph of f which is closest to the point (0,1)

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: Find locap and Saddle point(seg the function Ma ximum and Minimun Valyes 2. fCx,y> 3x² 9x+9 xy,

A: Given the function f(x,y)=3x3−9x+9xy2

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (x +…

A: Our Aim is to find the points of inflection and discuss the concavity of the graph of the function…

Q: Graph the function as a solid curve 1) f(x) =극지•3

A: We have to graph

Q: Find the slope of the line tangent to the graph of the function at the given value of x. y = x4 + 2x…

A: Given : y = x4+2x3+2x-2

Q: find the region or scope of the function

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 local extreme values of the function y = x + x- & + 5

A: Given function f(x) = x3+x2 - 8x + 5 f'(x) = 3x2+2x-8 f"(x) = 6x + 2 By Second derivative Test,…

Q: Describe the x-values at which the function is differentiable. x² x²-9 y = y T

A:

Q: Sketch the graph of the function: f(x,y)=10-4x-5y

A: Given:

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: 3) Classify the type of the fixed points of the function : f(x) = x³

A: