t is the degree

Q: point (1, 0). Plot both f(x) and the tangent line on the same set of axes (label both). On a new set…

A: Given that: The cubic polynomial f ( x) = x 3 - x , point = ( 1, 0).

Q: 2- 3x- 3X- %3D

A:

Q: 2x

A: We need to integrate the above given  equation.

Q: Consider the cubic polynomial 1(X) =X - X. Find the equation of the tangent line of f(x) at the…

A: Topic:- application of derivatives

Q: Continuity of multivariate functions

A: Here we will find the limit of the function.

Q: Minimum sum What two positive real numbers whose product is50 have the smallest possible sum?

A: Consider the provided information, Let us suppose two numbers x and y. Since they are positive…

Q: lim x1/3-1/x1/2-1 as x approaches 1 I don't understand how to deal with cubic root in this situation…

A: Given that

Q: Numerator of X2 over denominator of (x-1)2(x+1)=

A: GivenNumerator of x2 over denominator of(x-1)2(x+1)

Q: Horizontal Tangent Line Determine the point(s) at which the graph of - 4x - f(x) '2х — 1 has a…

A: Determine the point at which the graph of  f(x)=-4x2x-1has a horizontal tangent.

Q: Fundamental Theory

A: Follow the steps.

Q: Use a graphing utility to graphically solve the equation. Approximate the result to three decimal…

A: To solve the equation 3ln(x+8)=8 graphically, input the equations y=3ln(x+8) and y=8  in the…

Q: lim cot(z) %3D - 10 -1 0 3 0

A:

Q: Fundamental Theorem of Calculus 2. 3x Vux?+H dx Solve

A: Now substitute

Q: 1.5(8x³ − 6x² + 12x - - 9)dx

A: Using the formula of integration x^n

Q: The calculation of the numerical values of key variables is the only reason to build models. True…

A: This is a basic calculus problem

Q: minimum value of the sum of their squares.

A:

Q: Elimination of arbitrary constants.

A:

Q: Endpoint of (-2 -2) and midpoint (-1½, 1)

A:

Q: sin 4. lim

A: problem is solved using L'hopital rule

Q: Geometry Express the area A of a rectangle as a function ofthe length x if the length of the…

A: Given:  The length of the rectangle is twice its width. To Find: To express the area A of a…

Q: х+ sin 2x lim х-2 х — sin 2x

A: The limit defines the value that a function approaches as the input value of the function approaches…

Q: Basic concept underlying Calculus?

A: The given rational function  is fx=x+1x2+3x+2 we have to graph the function using the given…

Q: linear approximation cube root 11 - cube root {8}

A: Since the problem deals with cube root functions. Let us assume the function…

Q: base of a three-dimensional figure is bound by the line y = -x + 3 on the interval [-1, 1]. Vertical…

A: We have to find the area of the triangle.

Q: Finding an absolute extremum Verify that ƒ(x) = xx has an absoluteextreme value on its domain.

A: Given: fx=y=xx we know that domain of given function is x∈0,∞ and for extremum value derivative of…

Q: NTEGRAL CALCULUS: DEFINITE INTEGRALS Show complete solution.

A: the given definite integral is, ∫14x-1dx. first find the integral of x-1 by substituting x-1 as u.…

Q: Using calculus methods to find the length of the sides of the squares cut out so that the volume of…

A:

Q: Elimination of arbitrary constants

A:

Q: sin 0 What is the value of lim 0→0 0 if 0 is measured in degrees?

A: Given,          limθ→0sinθθ

Q: INTEGRATION OF STANDARD FORMULAS.

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

Q: explain

A:

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−2,…

A: We need to find the area under the region of the given curve by using the Fundamental theorem of…

Q: Integrands involving quadratic expressions |4x2 — 12х + 5 dx

A: Let I=∫4x2-12x+5dxTake 4 as common I=∫4(x2-3x+54)dx…

Q: ifferentiate  y=sin2(sin3x)-(sin(x3+2)/x)

A:

Q: Realice la gráfica f(x) = 2x +2

A:

Q: lim sin (2 – 2) cot² (x² – x – 2)

A: We have to find

Q: Find equations of the tangent line and the normal line to the graph of the function f(x) = 5x² + 8…

A:

Q: Q Tanco da

A:

Q: Sixth derivative of a sixth degree polynomial is a line. Select one: O True O False

A: Given : Sixth derivative of a sixth degree polynomial is a line. To find: State whether the above…

Q: Point B point of 2nflachion, conachuity find critical Point abselute and local extrema' of funetion…

A: We are given two questions, so I will answer only one, Point B Given :  y=x23-x…

Q: Inverse identity Show that cosh (cosh x) = |x| by using the formula cosht = In(t + Vr - 1) and…

A: Given : cosh-1(coshx)=x for all x   and  cosh-1t=ln (t+t2-1)    Claim :…

Q: chain rule followed by product rule

A: Given: The function is h(t) = sin ( t5 ln (t) ).

Q: + 3x + 2)dx 2.√ √x(x² – 3x

A: Given ∫xx2-3x+2dx

Q: Find the area (in square units) of the region under the graph of the function f on the interval [−7,…

A: The graphical representation of the area is,

Q: 2 -ƒ_(x−1) -dx √x

A:

Q: calculus

A: Please refer to the image below

Q: How do I determine the 1st difference, 2nd differences and ratio of y- values. ( on the photo…

A: Given:For x y -2 17 -1 11 0 9 1 11 2 17     now 1st difference of y ratio=…

Q: The graph of a function crosses the y-axis at the point y = 2 and the x-intercept of the tangent…

A:

Q: calculus help Find and classify the local maximum and minimum values of g(x) = e(x^3/12)-x using…

A: Given:Here g(x)=ex312-xTo find:The local maximum and minimum values

Q: y = 1.2889x3 - 358.53x2 + 48536x - 34188 What is the second derivative, what is the point of…

A: First we need to find inflection point: