Why is the function shown below not differentiable at x = -1? %3D 2 1 -7-6 -5-4 -3-2-1 1/2 3 4 567 -2 4 5 Select the correct answer below: The function has a vertical tangent line at the point. O The function has a horizontal tangent line at the point. O The function has a corner at the point. The function is smooth at the point. 6.

Q: Given the function below 3, f(x) = V- 324x° + 1053 Find the equation of the tangent line to the…

A:

Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

Q: 2. In the figure above, f', the derivative of function f, is shown. f is a twice differentiable…

A: We need to find properties of f from f' graph.

Q: 12. Given the function f(x)= Vx find the equation for g(x) where f(x) is shifted left 2 units,…

A: Solved 12th question as per our guidelines. If you want the solution of 13th question, post it…

Q: Given the graph of y=f(x) below, at which of the marked x-values can the following statements be…

A: Find your answer below

Q: What happens to the functionf (x) = (x – 1)² + 1 when it becomes f'(x) = (2x – 1)² + 1? 1 Hint for…

A: We have to solve above question and choose option

Q: A wine barrel is designed with interior profile given by rotating the graph of the function f(x) = 1…

A: Given, f(x)=-140x2+2x+40, x∈[0, 80]. When the function is rotated about Xaxis, the figure looks like…

Q: Consider the function f(x) = 5x³ – 9x² – 4x – 2. Step 2 of 2: Interpret the meaning of f '(3) = 77.…

A:

Q: You want a linearization that will replace the function over an interval that includes the point xp.…

A: Let f(x) is a function, then the linearization of the function at a given point x=a is:…

Q: D. f'(x) is decreasing at a E. The slope of f(r) is positive at a F. The slope of f' (r) is positive…

A: (d)  f'(x) is decreasing when the curve of f(x) is concave downwards or f''(x) < 0. Hence from…

Q: S₁ y=2x² 1 S3 3 SA (1, 2) y 1 2 (1, 2) 1 1 1 4 2 4 4 (a) (b) We can approximate each strip by a…

A:

Q: 3. The data in the table shows the velocity, in feet per minute, of a particle moving along the…

A: Given that the data in the data table shows the velocity, in feet per minute, of a particle moving…

Q: The rate of change in data entry speed of the average student is ds/dx = 2(x + 9)¬1/2, where x is…

A:

Q: Water flows into and out of a storage tank. A graph of the rate of change, r(t), of the volume of…

A:

Q: Given the function below f(x) = V-32a + 96 Find the equation of the tangent line to the graph of the…

A: Given that f(x)=-32x3+963

Q: Given the function below f(x) = -75x³ + 200 Find the equation of the tangent line to the graph of…

A:

Q: Look at the functions beloW. f(x) = 3(2") – 1 g(z) = 3(2) – 1 Which statement is TRUE? A. The…

A:

Q: Consider the function f (x, y) = 4x?e – 2x4 - e4y a. Show that f has two local maxima but no other…

A: (a) Find the first order partial derivatives. fx=8xey−8x3               fy=4x2ey−4e4y Find the…

Q: House price y is estimated as a function of the square footage of a house x and a dummy variable d…

A:

Q: 10. At what points (if any) (x, y) does the following function have a horizontal tangent line?Does…

A:

Q: 4х+5 f(x) = %D 9-3х А. х 3 -1 B. x =0 С. х 3 3

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 7. Consider function below. What is the value of fl-5); f(0); 3) respectively? (4x+11, -10 Sx<-2 fx)…

A:

Q: Consider the function f(x) = 6x² + x + 1. Step 1 of 2: Interpret the meaning of f(-4) = 93. Answer O…

A: Given Data: Function: fx=6x2+x+1 Interpretation required: f-4=93 The slope of any function is equal…

Q: Q5.  (i) Find the rate of change of the function f(x) = x + 2…

A:

Q: -2x. Find f(x) if f(2) = 5 and the tangent line at x has slope (x – 1)e* - 2x 7 f(x) = Read It Need…

A:

Q: 6. The graph of the second derivative of a function f(x) is shown at right. Which of the following…

A: Given

Q: 5) Given f(x) = x* +32x-8, %3D a. Find f'(x). f'(x) = b. Find the point(s) on the graph of f(x) at…

A:

Q: Given the function below f(x) = √-324x³ + 1053 Find the equation of the tangent line to the graph of…

A: Given: fx=-324x3+10533 and x=1 To find the equation of the tangent line  To find L1.1 using the…

Q: 77. The rate at which water leaks from a tank, in gallons per hour, is modeled by R, a…

A: According to the guidelines issued by the company We are supposed to answer only one question.…

Q: 3. Determine the x-value(s) for which the function f(x) = (x² +4)(3x -1) has an instantaneous rate…

A:

Q: What do we call the point at x = of the function f(x) = sinx? 2 A none of the given choices B…

A:

Q: Find the linearization of the function f (x) 1 9x+8 at = -1. L(x) = -9x-10 si Find the true values…

A: This question can be solved using the concept of linearization of function.

Q: h(t)= -0.2t^4 + 4t^3 - 24t^2 + 48t What is the approximate relative maxima and minima of this…

A:

Q: 1 2 3. 4 6. 8. 0. g(x) g'(x) -2 3 4. 1 -2 Using the table values of the differentiable function g(x)…

A: To solve the given problem we shall use the Fundamental Theorem of Calculus I.If f is a continuous…

Q: A bar with insulated sides is initially at temperature 0°C throughout. The end x =0 is kept at 0°C…

A:

Q: f'(x) 6 48 3 8 Write down the value(s) of x for which the original function y = f(x) is a.…

A:

Q: Given the function below f(x) = V-98æ³ + 441 Find the equation of the tangent line to the graph of…

A:

Q: Consider a revenue function defined as 200e0.4z R(x) = 1+x It can be shown that 3. R' = 0. What is…

A: Consider the revenue function  R(x)=200e0.4x1+x

Q: A psychologist measures a child's capability to learn and remember by the function L(t)= t+1 where t…

A: L(t)=ln(t+1)t+1 To find out the greatest learning capability we need to take derivative of L(t) and…

Q: Given the function below f(x) = -324x³ + 1053 Find the equation of the tangent line to the graph of…

A:

Q: d. Approximate the value of f(2.4) using the equation of the tangent line drawn to the graph of f at…

A: Solution for part d: The equation of the tangent line to the graph of f at a, is given by the…

Q: Use linear approximation to approximate each of the numbers. Round the number to the nearest…

A:

Q: Given the function below f(x) = V-72® + 288 Find the equation of the tangent line to the graph of…

A:

Q: B Consider the function f(x) = -4x²+7x+6. Interpret the meaning of f'(-7)= 63. O The average rate of…

A:

Q: Jacob and Jessica are studying the spread of dandelions. Jacob discovers that the growth over t…

A: The objective of the question is determine the relationship between the given two functions.

Q: A- The concentration of Nacl2 Q in a Chlorine maker is given as a function of y,t as shown Q= 1.5 N…

A: Given: That concentration of Nacl2 is Q in a Chlorine maker is given as a function of y, t…

Q: Consider the graph of the function f(x) below. y= f(x) 3 5 1. At what values of x does the graph of…

A: Given a graph of function f(x) , need to solve the questions based on the graph

Q: Given the function below f(x) = V-363 + 63 1. Answer in mx b form Find the equation of the tangent…

A: First we find the slope of the tangent at x = 1 and slope is the derivative of the given…

Q: 2x2 11x + 5 Let f(x) 3x? + la – 4 This function has: 1) A y-intercept at the point 2) x-intercepts…

A: Given :            fx = 2x2-11x+53x2+1x-4

Q: Given the function below f(x) = V-100x + 225 | Find the equation of the tangent line to the graph of…

A: