f(x) = 1-4x 2x - 5

Q: Find an equation of the tangent line to the graph of y=x at the point where x=e. ... The equation of…

A: We are given that f(x) = xx and x ​= e.

Q: The spread of a fungal infection in an ant colony can be modeled by 2 where t is the time in hours…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find all values of x at which the tangent line to the curve 2.x + 13 is perpendicular to the line y…

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Q: 2. Determine an example of an equation for a function with the following characteristics: a) Degree…

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Q: 4.) Find the slope of the line tangent to the curve y = (2x - 1)³ at x = 1

A: Solution : We have to find out the slope of the tangent to the curve y=(2x-1)3 at x=1 Since we know…

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4x…

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Q: this activity consider that you are in the landscaping consultant business for a company…

A: Given Data: Show the construction for the tangent lines and a water main Discuss the steps you used…

Q: Person "S" is biking along a straight path; which they start in the northbound direction. A graph…

A: We know that average velocity, v = ∆x/∆t, where x is distance travelled.  Looking at the graph from…

Q: Which of the following statements is correct? A) The derivative of a function is always zero. B) The…

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Q: 2. Consider the function h(x) = 11 - + x3 a) Find the equation of the tangent line to the graph of h…

A: We will find the equation of tangent line as shown below

Q: Triangle ABC is inscribed in a semicircle of diameter a = 2  (a) If x denotes the length of side…

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Q: Find the equation of the tangent line to the graph of the function f(x) = v2x² + 1 at the point…

A: Given that: f(x)=2x2+1        at point (2, 3)

Q: 4) Consider f(x) = 4 sin x, part of which is shown. The point A has coordinates (5,4) and the point…

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Q: a) Use the Quotient Rule to find the derivative of the given function. b) Find the derivative by…

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Q: b) Find the Slopes of a lines tangent to the graph at x = 4, and then build the respective Tangent…

A: Slope of line can be find by taking derivative . Derivative of the equation at the given point is…

Q: Find the slope of the line containing the following points, Show your Complete Solutions and…

A: a. Find the slope as follows: m=-5-29-1=-78

Q: at (1, 3). Find the slope of the tangent to the curve x° + 3xy + y° = The slope is

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Q: For what point on the curve of y=9x² - 2x is the slope of a tangent line equal to 88?

A: To find a point on the curve with given slope of tangent.