The total cost and the total revenue (in dollars) for the production and sale of x ski jackets are given by C(x) = 24x+ 47,190 and R(x) = 200x – 0.1x for 0sxs 2000. (A) (B) (C) Find the value of x where the graph of R(x) has a horizontal tangent line. Find the profit function P(x). Find the value of x where the graph of P(x) has a horizontal tangent line.

Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

A:

Q: Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7)

A: We will find out the required equation of tangent.

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

A:

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx+2

A: Find the equation of line

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

A:

Q: The slope of a tangent to the curve f(x) = x² + 2x – 5 at the point (3, 10) is : 12 8. -5 10

A:

Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

A:

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Find the points on the graph of f (x) = x3 − 3x2 + x + 4 where the tangent line has slope 10.

A:

Q: Find all points (x, y) on the graph of ƒ(x) = 3x2 - 4x with tangent lines parallel to the line y =…

A: Since the tangent is parallel to y = 8x + 5. Hence, the slope of the tangent = slope of the line = 8

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

A:

Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: Find the points on the curve y= x 4-6 x2 +4  where the tangent line is horizontal.

A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

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

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: Find an equation of the tangent to the curve f(x) = /x+ 7 that has slope %3D 4

A:

Q: Find the equation of the tangent line to the graph of x3 -xlny+y3=2x+5 at the point where x=2

A: x3 -xlny+y3=2x+5 To find out the equation of tangent line , we need to find out slope  Slope is the…

Q: slope m of the line tangent

A:

Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

A:

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a

A: given,y=3+4x2-2x3

Q: Find the critical points of y= -2x^2 +4x +3 and apply the Second Derivative Test to find the maximum…

A: Critical point and extreme points

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

Q: Find an equation of the tangent line to the graph of the function f(x) = x2 + 3x +5 at point (-4,…

A:

Q: 2. Find the slope of the tangent to the curve y = 3 + 4x² − 2x³ at the point where x = a -

A: The equation of the curve is given by y = 3+4x2-2x3 To evaluate: The slope of the tangent to the…

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: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

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

A: The equation of the line passing through the point (x1,y1) having slope m is given as (y-y1)…

Q: 1. Find the slope of the graph of the function f (x) = v3x + 4 at x = 7. Then find an equation of…

A: equation of tangent line is (y-y1) = slope (x-x1)

Q: find tangent line to the curve y=3x/7-x at a point of (-3,2/7)

A:

Q: 3. Find the slope of the line tangent to f(x) = In(4x² – 3) at (1,1).

A:

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 f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x² – 3x + 229, where a…

A: Given : C(x) = 0.01x² - 3x + 229 and        R(x)  = 429 - 2x

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

A:

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

A: Given that       f(x) = 5x3+4x2-5x-6      at x=-6 Here we have to find the equation of the line…

Q: Find the points on the graph of x5/2 + y5/2= 1 where the slope of the tangent line is -1.

A: Topic:- application of derivatives

Q: Find the equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

Q: Find the points on the graph of f(x) = 36x – 3x³ where the tangent line is horizontal. %3D

A:

Q: 5. Find the point on the parabola y=-x+3x+4 where the slope of the tangent line is 5.

A:

Q: The slope of the line tangent to the curve y = x*- 8x3 + 22x² – 24x + 9 at x = 1 is _.

A:

Q: Find the points on the graph of f(x)=48x−x3 where the tangent line is horizontal.

A: Given:f(x) = 48x – x3.Compute the derivative of the function f(x) as follows.

Q: The marginal revenue from a product is given by r(x) = 50 – 3x – x2. Find the demand function for…

A:

Q: 2. Determine the equation of the line tangent to the graph of y = x³ + 2x at the point (1,3).

A:

Q: find the x-values for the graph of y=2/3x2+4 where the tangent line has the greatest slope, and…

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 4 +9 In…

A:

Q: - Find the derivative of the function : ƒ(x)= V2x + 3

A:

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

A:

Q: Find the equation of the line tangent of f(x) = 3x - e-5x when x = 0.

A: f'x=3-e-5x-5=3+5e-5x We know that the slope of the tangent at x=a is f'(a). So the slope of the…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.