Graph the function y = x2 over the interval [-2, 2].

Q: Find the slope of the secant line to the function f(x)=4x²- 3x, through point P, where x= - 1, and…

A: To find the slope of secant line PQ to  the function f(x)

Q: Find the domain and range of the function.

A: Given : The function f(x, y) = ln(xy - 6)   To find the domain and range of the function.

Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

A:

Q: B- Find the local extreme points of the function f(x, y) = 4xy - x - y^.

A:

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

A:

Q: Find the intervals on which the function y=xx(x>0) is increasing and decreasing.

A: We take ln on both sides of the function

Q: Find the second derivative of the function.

A: From the given data:

Q: Find the length y=(x+2)^3/2 for x in the range 0≤x≤2.

A:

Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Differentiate the function.   y = (x2 + x + 1)ex

A: we have to differentiate the function:y=x2+x+1ex

Q: Consider y = xe^x on the interval [-5, 0]

A: In order to find global minima of the function, check the values of the function at end points and…

Q: Find the intersection  point of f (y) with x-axis.

A: Given the function f(y) .We need to find the point of intersection of f(y) with x-axis.

Q: Q3// Draw the function 1 y = 2 sec-1. Зх + 1

A: Our objective is to draw the graph of the function.

Q: Find the slope of the secant line between x = -1 and x = 2 on the graph of the function f(x) = -2x +…

A: The given function is fx=-2x3+3. Compute the slope of as follows.

Q: Find the graph of the function f(x) = [x] + [x/2] from R to R.

A: Given function is fx=x+x2. Definition: Floor function is the greatest integer that is less than or…

Q: Find domain and range F(x,y)= Vx-1

A: Since you have asked multiple questions in a single request, as per policy, only the first question…

Q: Find a function f such that  f '(x) = 5x3  and the line  135x + y = 0  is tangent to the graph of…

A: Consider the given derivative function f'x=5x3

Q: For the function f(x.y.z)= 3+5xy"-2z*, find f,, f, and f. -口 fx = 5-口 fy=

A:

Q: Find the point at which the line f(x) intersects the line g(x) = 2x + 5 = – 2x + 1 -

A:

Q: Differentiate the function y=(√x−1)(√x+1).

A: Given: y=x-1x+1

Q: Use implicit differentiation for x² + y² O x/y O 5x O-x/y O -5x = 25.

A: To find the derivative.

Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

Q: Graph the function y x over the interval |-1, 1].

A: Graph

Q: Find the function satisfying y' x + 3 and y(0) = 2 ... 2y + 5

A:

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 10 1 and the line perpendicular…

A: A triangle bounded by the y axis, the line f(x)=10-13x, and the line perpendicularto f(x) that…

Q: Find the point on the graph of the function that is closest to the given point. f(x) = /x, (3, 0)…

A: Given, y = f(x) = x Let's assume the closest point to (3,0) will be (x, y) then (x,y) = (x, x)…

Q: Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

A:

Q: Differentiate the function. f(t) = 7 - 글

A: We have to differentiate of the  function

Q: Let f(x) = x2. Give an equation of the line that intersects the graph of f(x) at x = 0 and x = V2.

A: Given data:     The given function is: f(x)=x2. The first value of x is: x1=0. The second value of x…

Q: Differentiate the function. y=(4x– 1)* (2 -x³) ² dx

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−1/3x, and the line perpendicular…

A: We have to find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line…

Q: State the interval of the function g(x) = E-x is %3D

A: The given function is gx=32-x  exist in the interval (-∞,32] and does not exist in any other…

Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: 16. Find the range of the function y = 1+ x2

A: Range: The range of the function is the set of all values of the dependent variable y corresponding…

Q: Find the area of a triangle bounded by the y axis, the line f(x)=8−13x, and the line perpendicular…

A: Recall : Area of the triangle with three points x1,y1,x2,y2 and x3,y3 :            A=…

Q: Find d3y of the function y=xln1/x.

A: Given: Calculation:

Q: Describe the domain of the function f(x, y) = ln(4 x - Y).

A: as per guideline i am answering one question .please give a like !

Q: Give the interval where y is decreasing y=x²e^x

A:

Q: Find the interval on which f(x) =x'e is increasing.

A: We find f'(x) using the product rule

Q: Find the area of a triangle bounded by the y axis, the line f(x) = 6 and the line perpendicular to…

A:

Q: Consider the function f(x, y) = x² + xy - 5x- y+1. Then:

A:

Q: The average change of the function y = √x from x = 4 to x =16 is _________________ ?

A: The given function y=sqrt(x). We need to find the average change of function over interval [4,16].

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

A:

Q: Find the point on the graph of f(x) = Vx that is closest to the point (6, 0). (x, y) = %3D

A:

Q: 2. 2x +1 %3D 2.

A: We have to find the derivative of y

Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

A:

Q: Find the slope of the secant line between the values x1 and x2 for each function y = f (x). f (x) =…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.