Let x24 x-2, 22 124 x, 24

Q: 68) Find a value of c that will make sin2 4x 0 x2 f(x) = C, x 0 continuous atx = 0.

A: Given, 

Q: Prove the statement using the epsilon, delta definition of a limit.

A: To prove the statement by using epsilon, delta definition of a limit.

Q: Draw a circle with an equation of x2+y2+4y=5

A: First we add 4 to both sides and complete the square of y term.

Q: Can you help me step by step with this problem?

A: Here, f(x) and g(x) are polynomials in x such that:

Q: When running a half marathon (13.1 miles), it took Joseph 8 minutes to run from mile marker 1 to mil...

A: 1. Joseph took 8 minutes to run from mile marker 1 to mile marker 2, and 19 minutes to run from mile...

Q: Can you help me step by step with this problem?

A: We have been given a limit that we need to evaluate.

Q: Can I get help with this question step by step?

A: To find slope we have to find the first derivative and plug the given point. x=1, y=-7Slope =-5 

Q: Simplify the expressions below. (a) tan(cos-1 x) (b) sin(tan1 x)

A: Refer to the question.Let a = cos^(-1) x.  That is from the properties of inverse trigonometric,

Q: Solve the equation for the given variable. If your answer is a fraction, write it in reduced, fracti...

A: Given that the equation is

Q: please answer b

A: At x = -4 the function is not continuous from left as well as from right since f (-4) is whole of f ...

Q: i need to find the derivative

A: Given that the function is

Q: Consider the line y= 3x- 9. Find the equation of the line that is parallel to this line and passes t...

A: Calculation:The given line is observed to be in the form of y = mx + b, where m is 3.Compute the equ...

Q: Sketch the graph of an example of a function f that satisfies all of the followingconditions:Range =...

A: It is given that, the range is [–2, 5] and the limit of the function are

Q: what is the limit of x minus the square root of x, as x approaches infinity

A: Given, 

Q: Find the volume of the solid obtained by rotating the region enclosed by y=x^2, y=6x, about the line...

A: We know that,

Q: Suppose that f has a domain of [5,13] and a range of [8,11]. Part A) What are the domain and range o...

A: It is given that a function f(x) has a domain of [5,13] and a range of [8,11].Part A: The domain of ...

Q: For the pair of functions f(x) and g(x), find f(g(x)), g(f(x)) and f(f(x)). f(x) = x3 − x;  g(x) = ...

A: Given,

Q: please answer parts a, b, and c

A:

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

A: Since the expression contains x, we have to find derivative with respect to x.

Q: 58

A: Given function is

Q: Determine the values of x for which f(x) is discontinuous. (Enter your answers as a comma-separated ...

A: The given function f(x) is,

Q: Calculus Question

A: First we make the base to e.Then use the product rule of logarithm.

Q: x2n times x3n-1 all over xn+2 . I'm supposed to simplify it.

A: Firstly , we simplify the denominator by using the result that x^m*x^n=x^(m+n)

Q: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

Q: For the region bounded by y=8-x^(3), the x-axis, and y-axis, determine which of the following is gre...

A: Lt's figure out the point of intersection.y = 8 – x3 = 0Hence, x = 2When x = 0; y = 8

Q: Find the average value fave of the function f on the given interval. f(t) = esin(t) cos(t),    [0, ...

A: We know that,

Q: Given f(x) = x2 + 2 Find value(s) of x that give y a value of 11

A: Given that y or f(x)=11We will plug f(x)=11 and solve for x.

Q: #7

A: Refer to the question.We have to find the volume of the solid obtained by revolving y=x3 ,y=x , x=&g...

Q: I am having an issue understanding how to calculate this problem. I read through the explanation and...

A: Given that, Velocity of ball vheight is y after time t seconds.We need to find the average velocity ...

Q: Find f(x) if f'(x)= 5/(1-x2)1/2 and f(.5)= 8

A:

Q: A new television set was recently purchased for the common room in a residence hall for 420.00 inclu...

A: Given that, the television set was recently purchased for 420.00 and the tax rate is 5% of the price...

Q: Please answer number 6.

A: f(x) = x3 + 4xHence, we can have the table for values of f(x) in the vicinity of x = 3 as shown on t...

Q: Can you help me step by step with this problem?

A: The given limit function is,

Q: Find all points of intersection (r,θ) of the curves r=4cos(θ),  r=1sin(θ). Next find the area inclos...

A: Given polar curves are r = 4 cos(θ), r = 1 sin(θ).Equate the r as follows.

Q: #4

A: The given curves are

Q: Solve for yy. −4y+9(−5y−3)=−8−3(−2−y)

A: We have a linear equation in one variable. As a first step let's collect all the terms that contain ...

Q: Consider the given function and the given interval. f(x) = (x − 6)2,    [4, 7] (a) Find the averag...

A: Given information:The given function is

Q: can i get help with the problem step by step?

A: We need to find the limit of

Q: What is the  integral of ex^2?

A: Given

Q: Which of the following four fundamental funtions have the same tangent line at x = 0 Ans:___________...

A:

Q: Can you help me step by step with this problem?

A: x2 + xy = a; xy + y2 = bAdd the two equations to get: x2 + xy + xy + y2 = x2 + 2xy + y2 = (x + y)2 =...

Q: Can i get help with this problem step by step?

A: We have to find the first derivative of the given function. 

Q: 2. A bell is struck and the volume, which was recorded at 90 decibels, decreases at a constant rate ...

A: a= initial sound= 90 decibelsIt decreases 9.8% per second. 9.8%=0.098Sp after 1 second sound is (1-0...

Q: Consider the function f(x) = x2 + 3x - 4. (a) Factor this polynomial and also complete the square. D...

A: As per norms, the first three questions are answered. the question concerns the quadratic function a...

Q: Numerator of 4 over denominator of x(x-1)

A: The expression with the given numerator and denominator is represented as shown below.

Q: Find the equation of the plane containing the points P = (−1, 3, 2),Q = (−5, 1, 1), and R = (6, 0, −...

A: Given,             The plane containing the points P = (−1, 3, 2), Q = (−5, 1, 1) andR = (6, 0, −3).

Q: EXAMPLE 3 Graph the function below and state the domain and range. y 1ex -5

A: Using graphing calculator graphed y=(1/4)e^-x -5

Q: Would it be possible for a function to be continuous on [0,2) but not on [0,2]?

A: Let us consider the function f(x) =(x+4)/(x-2) .

Q: Simplify. Write your answer without negative exponents. Assume that no denominator equals zero.   q-...

A: Consider the given expression. 

Q: Find the volume V of the described solid S. The base of S is the region enclosed by the parabola  y ...

A: Given base of the solid S enclosed by parabola y=3-2x2 and the x axis and cross-sections are perpend...