The time to finish this final exam can be classified as (A) Discrete Variable B Continuous variable C dependent variable (D) Independent variable

Q: Find the slope and y-intercept of the line through the point (6,7) that cuts off the least area from…

A: The line passes through the point (6,7) that cuts off the least area from the first quadrant.

Q: Differentiate using implicit differentiation 3 2 4.3 r-2/0 =0 +04 03 +-04 2 3

A:

Q: The second derivative test is used to distinguish between maximum and minimum points by determining…

A:

Q: How is linear approximation used to approximate the value of afunction ƒ near a point at which ƒ and…

A:

Q: Calculate the derivative 25 using Part 2 of the Fundamental Theorem of Calculus. 25 dt =

A: Given: ∫-1x6t2-t25dt

Q: Give a vector valued function whose graph is same as y=ln (x)

A: We know that a function with the representation r→t=ft i∧+gt j∧ is called a vector valued function…

Q: 2. Find the third order derivative of y = In(secx + tan x). a. secx b. secx tan x c. - sec(x) + 2…

A: Explanation of the answer is as follows

Q: Differentiate the function. y = etan(θ)

A: Given y=etanθ Use chain rule of differentiation to differentiate the given function.

Q: What are the the mean value theorem in application of derivatives?

A:

Q: What are the two graphical interpretations of the Midpoint Rule?

A:

Q: Define continuous variation

A: Let CV denote Continuous Variation.

Q: Locate the critical points and identify which critical points are stationary points. f(x) = |sinx|

A: Given:

Q: Apply the second derivative test to find all relative extrema. - 5)² (a) f(x)=(x

A:

Q: Differentiate the function.   y = x + 1/ex

A: Case (I): If we have the given function as y=x+1ex        ⋯⋯1 We know that, from the quotient rule…

Q: What is the range of values that contains the parameter value?

A: Confidence Interval contains the true value of population parameter.

Q: Tangent

A: Tangent in geometry   A line that touches the circle at a single point is known as a tangent to a…

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: 2b. Explain the difference between a partial derivative and a directional derivative.

A: Dear learner, as per our guidelines we can provide the solution for one part only. Kindly post other…

Q: How Vector autoregressions is used for Casual Analysis?

A: The vector auto regression (VAR) model is one of the analytical techniques used most commonly in…

Q: The value we would predict for the dependent variable when the independent variables are all equal…

A: The value we would predict for the dependent variable when independent variables are all equal to…

Q: Apply the second derivative test to find all relative extrema. (c) f(x) = 1

A: To find the relative extrema first we  find the critical points. The critical points are the values…

Q: State the theorem for Second Derivative Test for f (x, y).

A: The second-derivative test for maxima, minima, and saddle points has two steps. 1. Find the critical…

Q: Find the derivative of the function. y = x 5 Vx3+7 O y'=- 2VX3+7 3x7 5x3 Vx3 +7 3x6 O y'=. 5x4 Vx3…

A:

Q: Examine the Function For relative extrema and sadde points. xy - %3D

A: we have given a function g(x, y) = xy we have to examine the function for relative extrema and…

Q: Explain the concept of differentiation and integration.

A: Differentiation and integration are the process of calculus in mathematics. In differentiation, we…

Q: Find the equation of the line passing through the point (4,5) and perpendicular to the line y= x+2…

A:

Q: What are the maximum and minimum values in application of derivatives?

A: We have to define the maximum and minimum values in application of derivatives.

Q: What’s the difference between differential and inferential Calculus? And How do they apply to…

A: DIFFERENCE BETWEEN INFERENTIAL AND DIFFERENTIAL CALCULUS:…

Q: How can linear approximation be used to approximate the changein y = f(x) given a change in x?

A: Given;                 y=fx How can linear approximation be used to approximate the changein y=f(x)…

Q: What are tangential components?

A: Consider the provided information, What are tangential components.

Q: how do i estimate and list the value of x where f(x) has a horizontal tangent

A: Recall the following facts.

Q: Explain theorem 10—First Derivative Test for Local Extreme Values?

A: According to the question, we have to expalin the theorem for first derivative test for local…

Q: Find the slope and y-intercept of the line through the point (6,6) that cuts off the least area from…

A: Given : Point (6,6)

Q: Differentiate the function. y = In(eX + xe )

A: In this question first apply the property of log and then differentiate as shown...

Q: A researcher for a tire company has collected data about the stopping distance in feet for different…

A: The data values are in the range of 59 to 74. As a result, the bottom limit of the range is supplied…

Q: Why is the Second Derivative Test inconclusive when f"(c) = 0? Explain. Please use clear…

A: This is a problem related to derivative. Please follow the procedure given below.

Q: Calculate the derivative 21 using Part 2 of the Fundamental Theorem of Calculus. 21

A:

Q: Use the linear approximation to estimate

A: In this question, by using a linear approximation to evaluate the value of the expression using…

Q: Calculate the derivative 33 dt da using Part 2 of the Fundamental Theorem of Calculus.

A:

Q: What are the indeterminate forms and L'hospital's rule in application of derivatives?

A: We have to define Indeterminate form and L'Hospital Rule

Q: Differentiate the function (x + y)1/2 = x4 + y4 by implicit differentiation.

A:

Q: Draw 1st & 2nd derivative charts. Identify extrema & inflectionn points. y = x2 + 2/x

A: Consider the function,

Q: Explain how the Second Derivative Test is used.

A: The second derivative may be used to determine local extrema of a function under certain conditions.…

Q: What is the standard linear approximation?

A: A linear approximation is an approximation of a general function using a linear function. They are…

Q: Find the equation of the normal line to the curve y= 2x -x+4 at point when x=1.

A: The solution is given as

Q: Sketch level curve of f(x,y)=x2-y2

A:

Q: How to calculate a gradient

A:

Q: Find the derivative car (x+y) = yrinx

A:

Q: How do some functions vary continuously?

A: Given: Behaviour of the functions which vary continuouslyFor instance:…

Q: ______ provide a means to predict the value of a function at one point in terms of the function…

A: Given: Let us consider the given statement, "______ provide a means to predict the value of a…