In( V5x – 3 )

Q: Calculate the approximation for the given functionand interval:                    M4, f (x) =√x,…

A:

Q: Differentiate the following function. y= Vx+ 1 (4x + 1)2

A:

Q: ) Find a function ƒ such that f'(x)= x³ +3 and such that the line y+5x O is tangent to the graph of…

A: Given, f'(x) = x3+3  and the line  y +5x =0 is tangent to the graph of f   Let's assume the function…

Q: This function has: 1) A y intercept at the point 2) x intercepts at the point(s)

A: Given,  fx=2x2+11x+123x2+10x+3 The x-intercept, y-intercept, and vertical asymptotes are to be…

Q: Plot the following functions 1. y = - v2x +1 2. у %3D (х — 1)3+2 3. y =- 2x

A: 1. Plot of y=-2x+1 is shown in below figure:

Q: The domain of the function ,y) = In[x* +y² – 1) is:?

A:

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Make two separate plots of the function f(x) = (x+ 1)(x-2)(2x-0.25)- e. 2. one plot for 0sxs3 and…

A: Given, f(x)=(x+1)(x-2)(2x-0.25)-ex We plot this function in two different intervals.

Q: Plot the function f(1) for -10 <xs 10. %3D 1+e5.5 – 1.5x 20

A: Graph of any function can be plotted by joining the points from which the function passes. So to…

Q: Find the equation of the line tangent to the graph of the indicated composite function at the…

A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

Q: -Which of the functions below has a range of y<-2?

A: Idea: Construct the line y = -2. If the graph remains below the line y = -2 then the function have…

Q: The graph of f (x) = |x| is reflected over the x-axis, shifted vertically up 1 unit, horizontally 3…

A: Given that fx=x is reflected over the x-axis shifted vertically up 1 unit ,horizontally compressed…

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. −x2 +2x−4=−2y2 +y…

A: By differentiating and using the result that  derivative of  x^n is nx^(n-1), we get the required…

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is:

A: Given f(x) = ex - 1

Q: The best suitable method to approximate a zero of the function f(x) = e* – 1 is: |

A: Given,                 f(x)=ex-1

Q: Find the Zero and its oodex for the function flz)=1- Ti+Z+

A:

Q: Use the graph of the function f to find approximations of the given values. y 4-

A: To find the values of f at x= a,  we imagine the vertical line x=a and where the vertical line…

Q: e. Find the point(s) on the graph of f(x)= 5x³(4x² – 60) that have horizontal tangent lines. |

A: Any function have horizontal tangent line at points where derivative is zero

Q: Find the net change in the value of the function between the given inputs. f(x) = 4 - 5x; from 3 to…

A: To find net change in the value of function: f(x)=4-5x;from 3 to 5. Solution:…

Q: 5. Determine the area of the largest triangle that can be formed in the first quadrant by the…

A: The area is found by making a function of area into a variable and finding the values at which…

Q: Find the global extrema of the function f(x)=e−x2.

A:

Q: Consider the function f(x) = z + 6

A: Givenf(x)=1x+6

Q: Plot the following functions 1. y = - V2x +1

A: x y=-2x+1 -12 0 0 -1 1 -3 2 -5

Q: Find the global extrema of the function f(x)=x4−2x2−1 on [0,+∞).

A: Given function is Differentiating both sides with respect to x, we get Now, we will find critical…

Q: Find the points on the graph of the function f that are closest to the point (a, b) by minimizing…

A:

Q: Find dydx, where y is defined as a function of x implicitly by the equation below. y3+2x2y5=1

A:

Q: Plot the following functions 1. y = - V2x +1 2х + 1 2. y = (x – 1)3 + 2 3. y =-1 3. У 2x

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 Find the exact values of the circular functions whose 0 4

A:

Q: Plot the following functions 1. y = - V2x +1 2. y = (x - 1)3 + 2 3. y =-1 2x

A: As per our guideline we are allowed to do 1 question or 3 subparts at a time. Please post other…

Q: Find the local extrema of the function f(x)=x3−12x.

A:

Q: Calculate the approximation for the given function and interval.                         M6, f (x) =…

A:

Q: Determine the stationary values of the function z = x3 – 6x² – 8y² and distinguish between them

A:

Q: Find the extreme values of the function x²y with respect to x + y = 5

A:

Q: Find the intersections between the two given functions algebraically. Correct answers without…

A: The two given functions are, y=x2-4x+2y=2x+1

Q: dy +Yax = 3x²y²dx, 3x2.

A: Given differential equation:-       dy + ydxx = 3x2y2dx

Q: 1. 3y4 + 2xy = 4

A:

Q: Find and classify the extreme point of the function f(x, y) 3y2x + x³ - 3y3 - 3x? + 2.

A:

Q: Suppose that f is a linear function with slope 4 and that f(2) = 7. Find the equation for f with…

A:

Q: Suppose that y is a function of x. Find y' if 2x°y - 3 = 2y + 5.

A:

Q: В. Find az if z = f(x, y) is implicitly defined as a function of x and y for the equation below…

A:

Q: fla)= 9 (x=4)° +2 +2

A: Given fx=9x-42+2.

Q: 1. Plot the function f(t) = (x+5) %3D 4+3x2 for -35 x 5.

A:

Q: f(x) = 6x5 – 4x3 + 10

A: To classify the stationary points of the function: f(x)=6x5-4x3+10

Q: Find the net change in the value of the function between the given inputs. f(x) = 4-5x; from 3 to 5

A: We want to calculate net change in given function from 3 to 5.

Q: Find the equation of the tangent line to the graph of the function f(2)=√1026 +26 at the point…

A:

Q: Differentiate the function. y = In(12 + t – t³1) y' =

A: Here we differentiate the y with respect to t

Q: Differentiate the function P = 5t³ + 4e'. dP dt

A: GIVEN: P = 5t3 + 4et TO FIND: dPdt

Q: Find the global extrema of the function f(x)=3x4−6x2+2 on the interval [−2,2]

A: Global extrema of a function exists at critical points or at the end points of the interval.…

Q: Find y' if 3x2- (ry?) = 2y.

A: Given that, 3x2-xy212=2y3 Find the derivative of the given equation.

Q: Identify the parent function of f (x) = (x + 3)³. Select the correct answer below: O Constant O…

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.