x2-4 ×キ2 ise X-2 f(x)= x 2 ise 3.

Q: . Give an informal or intuitive definition of the limit?Why is the definition informal?Give examples...

A: An informal definition: Suppose a function defined on an open interval about c, except possible at c...

Q: A company that manufactures running shoes has a fixed monthly cost of $300,000. It costs $30 to prod...

A: We will answer up to three subparts since the exact numbers are not specified. Please resubmit the q...

Q: Find  f' in terms of g' .

A: Given function is fx=egx.

Q: Suppose you use a second-order Taylor polynomial centered at 0 to approximate a function ƒ. What mat...

A: Polynomial: Given that we are approximating the function f by using Taylor Polynomial with n=2. Now ...

Q: Factor : 125x3 - 8.

A: We have to factorize the expression: 125x3-8 Here, 125=5×5×5=53 and, 8=2×2×2=23 Rewriting the expres...

Q: Find the most general antiderivative of the function. (Check your answer by differentiation.)

A: We have to find antiderivative of the function and we have to check the answer by differentiation: f...

Q: Use the table of integrals at the back of the text to evaluate the integrals ∫e2t cos 3t dt

A: Given, ∫e2tcos(3t)dt

Q: Find the distance between the point (1,3,-1) and the plane 3x - 4y + 5z = 6. (Enter an exact answer ...

A: Given point 1,3,-1 and the plane 3x-4y+5z=6

Q: Calculate the limits and is there a limit at x = 0?

A:

Q: Show that the arc length of the graph of y = sin x on the interval [0, 2π] is equal to the circumfer...

A: Given, Equation of Ellipse is x2+2y2=2 Now divide the equation of ellipse by "2" we get, x2+2y22=22x...

Q: please type out your work/anwser and explain. this counts as one question

A:

Q: Find the limits

A:

Q: Find the absolute extrema of the function on the closed interval. y = x In(x + 9), [0, 3] (x, y) = (...

A: Given that, y=xln(x+9) We have to find absolute extrema on the closed interval [0,3] If we draw the ...

Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the f...

A:

Q: Find the limits limx→0+x tan (π/2 - x)

A: Given that, f(x)=x tan (π/2 - x) We have to find, limx→0+xtanπ2-x

Q: If x represents the average velocity of a plane in still air and y represents the average velocity o...

A: If x represents the average velocity of a plane in still air and y represents the average velocity o...

Q: lim Use L'Hopital's Rules to calculate the limits: →1 r-1 Answer

A:

Q: QUE STION 6 Graph the line whose equation is given. y 2x- 2

A:

Q: Improper integrals Evaluate the following integrals or show that the integral diverges.

A: Given- ∫-∞∞x31+x8dx To evaluate- The above improper integral. Concept Used- The above integral can b...

Q: differentiate the functions and find the slope of thetangent line at the given value of the independ...

A: Given function is y=x+31-x. To differentiate the function and find the slope of the tangent line at ...

Q: Solve : 3/(x - 3) + 5/(x - 4) = x2 - 20/(x2 - 7x + 12)

A: To solve the given equation

Q: Two polynomials P and D are given. Use either synthetic or long division to divide P(x) by D(x), and...

A:

Q: If  ,f(x) =ex -2 ,0<=x <= 2 find the Riemann sum with n=4correct to six decimal places, taking...

A: Given: fx=ex-2, 0≤x≤2 , n=4

Q: You have 36 yards of fencing to build the enclosure in Figure. Some of this fencing is to be used to...

A: Given that there are 36 yards of fencing to build the enclosure in Figure. Some of this fencing is t...

Q: Absolute maxima and minima Determine the location and value of the absolute extreme value of ƒ on th...

A: Given: f(x)=ex-2x, 0,2

Q: Q#7 Refer to the graph of f shown in the following figure: i 23 4 5 6i89 10 11 12 a. Find the interv...

A: A curve is concave upward if it lies above its tangent lines, similarly concave downward if it lies ...

Q: Find the function The following limits represent the slope of acurve y = ƒ(x) at the point (a, ƒ(a))...

A: limh→0-1+h-1h On simplification, we get limh→0-1+h--1h Now comparing with limh→0fa+h-fah, we get a=-...

Q: The position of an object at time t is given by ? = √(3? − 4) + 1/(√?) + 4, where ? is in feet and ?...

A:

Q: Graph the given functions, f and g, in the same rectangular coordinate system. Select integers for x...

A: we have to graph the given function f and g in the same rectangular coordinate system. we have to se...

Q: Define two operations + and * on A = Z × Z as follows: for (a, b) and (c, d) in A: ɔy (a, b)+(c, d) ...

A: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest questio...

Q: Use limits to find the derivative function ƒ′ for the followingfunctions f.b. Evaluate ƒ(a)for the g...

A: ft=1t a). f't=limh→0ft+h-fth=limh→01t+h-1th=limh→0t-t+htt+hh=limh→0t-t+hhtt+h=limh→0t-t+hhtt+h·t+t+h...

Q: Can the graph of a polynomial function have no x-intercepts? Explain.

A: Given: To given an explanation that whether the graph of the polynomial function have no x-intercept...

Q: find the linearization L(x, y) of the function ateach point. ƒ(x, y) = 3x - 4y + 5 at a. (0, 0), b. ...

A: fx, y=3x-4y+5 Partially differentiating with respect to x, we get fxx, y=31-0+0=3 Partially differen...

Q: How would you do number 20

A: Given the equation of the ellipse, 4x2+9y2+24x-162y+729=0

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.