8. If you knew that f(-4)=8, then what (x, y) coordinate point must lie on the graph of y= f (x)? Explain your thinking.

Q: What is the equation of the curve that passes through the point (1, 3) and has a slope of 2 x+3 O 9…

A: Here we have to write the equation of the curve that passes through the point (1,3) and has a slope…

Q: I need help graphing f(x)= 1/2x +1 and g(×)= -|x-2|+5 Y= F(×) as a line Y= G(×) as 2 ray segments

A: Given function f(x)=12x+1 Since, graph of function h(x)=1x is hyperbolic shaped. To obtain 'f(x)'…

Q: What is the equation of the line perpendicular to the line tangent to the curve y = x² + x – 6 at x…

A: Answer is y=-x-6

Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

A:

Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

A:

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

A:

Q: What is the equation of the curve passing through the point (3,-2) and having a slope at any point…

A: We want to find correct option.

Q: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

A: The slope of the curve y=ax3-bx2-cx-3 at x=2 is 5. If the point of inflection of the curve is at…

Q: Find the slope and equation of the line tangent to f (x) = x² – 4 at the point (3, 5).

A:

Q: Calculuate the length of the curvey = 4√2 3 3|2 within the interval of 0≤x≤ 1,

A:

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: What function should be used to minimize the distance between, y = 3x2, and the point (0, 2)?

A: y=3x2,  0, 2.

Q: 3. Find the points of inflection: y = x- 2cosx

A: We have to find inflection point

Q: The line y = -4x + 16 is tangent to the graph of 100 y : x + 6 at the point help (points)

A: Given the equation of a tangent line:

Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

A:

Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

A:

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

A:

Q: 3. Find the points of inflection: y = x-2cosx

A: Explanation of the answer is as follows

Q: 9) Write an equation of the tangent line to the graph of y = 5x2 - 8 at the point where x 0. %3D -3x…

A: Quotient rule of derivative of the function f(x)=u(x)/v(x) is

Q: Write the equation of the tangent line to the graph of  y = (8x2 − 6x + 2)(1 + 2x) at x = 1. Check…

A: the equation of the tangent line to the graph of, y=(8x2−6x+2)(1+2x) at x=1   y=(812−61+2)(1+21)…

Q: Find the values of ôf / ôx at the point (4,-5) if f(x, y) = x +3xy + y-1

A:

Q: What is the slope of the tangent line to the graph of y= x*- 3x2 + x+ 2 at x-2? What is the…

A: Given: The graph of y = x4 – 3x2 + x + 2.

Q: what is the slope of the curve

A:

Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

A:

Q: Find the general expression for the slope of a line tangent to the curve of y=x^2, at point p(x1…

A: Find the general expression for the slope of a line tangent to the curve of y=x^2, at point p(x1…

Q: 5) What is the equation of the line tangent to y = 2x³ + 3x - 1 atx=0?

A:

Q: 9. Find the equation of the line tangent to the curve y = 3x5 + 10x³ + 15x + 1 at its point of…

A: the given curve , y=3x5+10x3+15x+1 we have to find the equation of the tangent line to the given…

Q: Find the slope of a line that is tanget to f(x)= 1/x at the point (2,1/2).

A: Given:

Q: Based on the scatterplot predict the value of y when x = 30 -mittens 10

A: From the scatter diagram, the slope of the regression is downward slope   As slope is downward,…

Q: Find the slope of the curve y = 2x2-3x at point (1,3) O 2 O 3 O -2 0 1

A: We   have to find slope

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: Find the slope of the curve at the point (2,3) * x³ 2x + 1 3/2 1 O 1/2 O 1/4

A:

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…

A:

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

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: The curve y=ax²+bx+c passes through the point (2,28) and is tangent to the line y=4x at the origin.…

A: Given, y=ax2+bx+c

Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

A:

Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

A:

Q: Why does Newton's method fail at all of these points in the graph except for x=5, especially when…

A: Since the graph cut at two point. at x=2, x=6 and graph never touch the  negative x-axis. and…

Q: The line whose slope is 3 is tangent to the curve y=x² + 3x + 2 at the point, O (3,-2) O (-3,2) O…

A: The line whose slope is -3 is tangent to the curve y=x2 +3x+2 at the point. Here slope and line…

Q: What is the slope of the tangent line to the graph of the solution of y'= 7√y + 3x³ that passes…

A:

Q: 2 5. Write the equation of the line tangent to y=4-x when x=-1.

A:

Q: What point on the curve y = x is closest to the point (5, 0)?

A:

Q: 15. Identify y-intercept for f(x) = 2(x² −5) + 4.

A: We have to find the y-intercept.

Q: What is the equation of the curve passing through the (1, 16) and having a slope at any point (x,y)…

A: Given- 2xyx2+3 To find- The equation the curve passing though the (1,16) and slope at any point x,y…

Q: The slope of curve is given as (2x + b + ) and has a value of 17 2x3 at x = 2. What is the value 16…

A: Topic   = Integartion

Q: Do you agree with the statement that  cubic functions must have aleast one  x intercept but no more…

A: According to the given information, it is required to explain the given statements. First it is…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.