5. Find the coordinates of all points on the graph of f(x)=x√16-² where the tangent line is horizontal. You must give both the x- and y-coordinate of each such point. points where tangent line is horizontal:

Q: The graphs y=x³ Y 60 40 20- 20 -40 11x² +36x + 10 and y = 2x are shown in the figure. 0 2 E2 At how…

A:

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

A:

Q: Find the distance between the two values of x at which the function is discontinuous. x²- 3x + 2 2.…

A:

Q: Please

A:

Q: Sketch the graph of y = 3sinx on the interval ( -π , 4π )

A: Solution:-

Q: #2.) Calculate the slope of the tangent to the given function at the given point or value of x b.)…

A: 2.b) gx=x+2, P-1,1d) fx=5x-2, P4,52 Note:     multiple questions are given, we are answer only one…

Q: Find the points on the curve y = x³ -3.5x² + 10x + 15 where the tangent is horizontal. List the…

A:

Q: Find the distance from the point (1, −3, 6) to the x-axis.

A:

Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

A:

Q: Let P = (x,y) be a point on the graph of y = x- 12. %3! Express the distance, d, from P to the…

A: The given problem is to find the distance function in terms of x where distance between origin and…

Q: Find the slope of the curve y = 2x3 - 3x2 - x +5 at (2,– 1)

A:

Q: The flight path that satisfies the conditions in the following diagram is y = −0.000014x3 +…

A:

Q: Put the function in the form y = ab' and state the values a and b. Enter the exact answers. a = b =…

A:

Q: Find the slope m of the line tangent to the graph of the function f(x)=2-4x at the point (-1, 6).…

A: The function is f(x)=2−4xaim is to find the slope of the given function

Q: A3) Find the equation of the line tangent to the graph of f(x) = 6x3 + 5x2 – 5x – 4 at z = -4. %3D

A: Firstly, we will differentiate f(x) and put x=-4 to find the slope of the equation then we will find…

Q: Find a point on the line y = 2x 3 that is 5 units from the x axis. %3D

A: The given equation is, y=2x-3

Q: Let P= (x,y) be a point on the graph of y = x. Express the distance, d, from P to (7,0) as a…

A:

Q: Find the value of x using hyperbolic function formula.

A: Step 1:We know that, sinhx=2ex−e−x​, coshx=2ex+e−x​. Step 2:Using these, we have  3sinhx−2coshx−2=0…

Q: Given the function y = 1+4Vx- 2 i) Find the domain. ii) With the aid of a table of values, sketch…

A: i) Under the square root we can not have a negative value. That means: x-2≥0x≥2 This is the domain.…