Question

sketch the graph and find the x-values (if any) at which f is not

continuous. Classify the discontinuities as being removable or essential. If the latter, state

whether it is a jump discontinuity, an infinite discontinuity, or neither.

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: The rectangular coordinates of a point are given. Find polar coordinates of the point such that r 0 ...

A: We'll use the rectangular coordinate to the polar coordinate formula with x=-5 and y=5

Q: Use the second derivative test to identify any critical points and determine whether each critical p...

A: We have to find any critical points and determine whether each critical point is a maximum, minimum...

Q: what are the steps to solving |x-4| > 9

A: We have to solve the inequality.Inequality is given below:

Q: Please help. Find the values of x for which the given geometric series converges. Also, find the sum...

A: (a)Consider the given geometric series:

Q: The revenue from the sale of a product is, in dollars, R = 1500x + 3000(3x + 3)−1 − 1000 where x i...

A: The revenue from the sale of a product is, in dollars,R = 1500x + 3000(3x + 3)−1 − 1000where x is th...

Q: This is solving the 2nd derivative of f(x) = x^2/ 1+e^x, and we have already obtained the 1st deriva...

A: The given function is,

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by th...

A: (d) First draw the graph of y = x + 6 and y = x2.Find the intersection points as,

Q: Find the derivative of the inverse function f(x) = x/x+2

A: Click to see the answer

Q: Kindly help

A: Given information:The given intergal is

Q: Which is the result?

A: We are given a function as

Q: Find the point on the surface x2 − 2xy + y2 − x + y = 0 closest to the point (3, 4, −5).

A: Consider the provided surface

Q: please explain how to do question 7c

A: The given integral is ∫(1-3x)4dx.

Q: Find the exact length of the curve of the equation that is in the picture, make sure that you show a...

A: We first find dy/dx

Q: 12. An oil tanker struck a reef and caused an oil spill in the ocean. Assume that in its early stage...

A: Let r be the radius of the oil spill which is circular in shape.Given,

Q: Determine the area, in square units, of the region bounded by g(x)=6x+12 and f(x)=x2 +7x−8 over the ...

A: We have to find the area under the curve of g(x), then substract the area under the curve of f(x). T...

Q: Solve for complex x. e^(x^2+4x)=8

A: Solve the equation e^(x^2+4x) = 8 for complex x as follows.

Q: If the formula describing the distance s(in feet) an object travels as a function of time(in seconds...

A: The distance s(in feet) an object travels as a function is s = 100 + 160 t -16t2.It is known that, t...

Q: The funciton f in the figure satisfies the lim f(x)=5 as x approaches 4. Determine the maximum valu...

A: (A) From the inequality |f(x)-5|<1 , we\'ll find range of f(x) first.

Q: For the following function f, find the antiderivative F that satisfies the given condition. F(v) =

A: First, we find the general solution using integration.

Q: Find the derivative of y with respect to x.

A: Assume z=x^5+1. Then found derivative dy/dx using the chain rule.

Q: lim x→5 f(x) where f(x)= { 7x-10 if x<5; 25 if x>=5

A: To find the limit x->5 f(x), we have to find the right and left limit of x=5 first.

Q: e) 1-5x - 31 8 nD 14-0.5x| 2 8 nos AR ) D6). C-17.3.), B(0,7.51 bo g) 4>-3x - 51 9-th onanibuoos-X 3...

A: You have asked a series of independent questions. I will address the first three parts. Please post ...

Q: An equation of the tangent line to the curve y= 4x2-8x-5 at the point (-1, 5) is O y14x-9 Oy 14x71 O...

A: The curve is given by,

Q: Use the table feature of a graphing calculator to predict the limit. Check your work by using either...

A: Step 1: Go to "Y=", then type in the function 3 + x − x2 Step 2: Go to "TBL SET" (2nd+WINDOW), the...

Q: 1) The substitution u = tanx gives∫(sec2x.tanx)dx = ∫(x)du = 1/2.u2 + C = 1/2.tan2x + CThe substitut...

A: Yes, both integrations are correct by their respective substitutions.Reason:An integral of a functio...

Q: Question: Find the area of the region bounded by y y0, x1, x-4

A: The area of region bounded by the curve y=(x^2+x-1)/((x)^1/2), x=1,x=4,y=0.

Q: approximate the area under the graph of f(x) and above the x-axis using the following methods with n...

A: Given:The function is f(x) = ex-1.The interval (a, b) is (0,1)

Q: Graph the following function. Then use geometry to find the area and net area of the region describ...

A: Graphed the lines first. Area between y=3x-6,x axis and x=8 is above the x -axis (Blue shaded area)....

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve a...

A: The given curve is,

Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,

Q: Find a particular solution to the differential equation below that passes through the point (−3,−5)....

A: The given differential equation is y’ = 5x–5.

Q: Please solve all parts.

A: You have asked multiple unrelated questions in a single post. Futher your first question has multipl...

Q: A three times differentiable function fwith f'(x) 0 has a D-derivative at x given 2 f'"(x) 3(f"(x) D...

A: We’ll answer the first question since the exact one wasn't specified. Please submit a new question s...

Q: How can I get the result? Which is the result?

A: We have to find following limits.Question is given below:

Q: Find the exact value of log10(15/4)+log10(4000/15)

A: Given information:The given expression is

Q: Determine if y=e2x −x+1 is a solution to y′−2x=−3+2y.

A: The given differential equation is y′−2x=−3+2y.The solution of the deferential equation is given as...

Q: Use the substitution formula Integral from a to b f left parenthesis g left parenthesis x right pare...

A: Obtain the value of the integral as follows.

Q: For the region bounded by y 3x, the x-axis, and x 1, determine which of the following is greater: th...

A: The curves are given by,

Q: 13. The cost of producing x ounces of gold from a new gold mine is C= f(x) dollars. (a) What is the ...

A: Given cost function is:Cost of producing x ounces.

Q: 3ln xy′−9x2 y′=4x4 What is the order of the differential equation shown above?

A: The given differential equation is ,3ln xy′−9x2 y′=4x4 The order of the differential equation is th...

Q: approximate the area under the graph of f(x) and above using the x-axis using the following methods ...

A: Given infromation:The given function is f(x)=2/x from x=1 from x=9.

Q: Help with #10

A: The acceleration of the moving particle is given by,a(t)=2ti+etj+cos(t)k To find the velocity ...

Q: Use Newton's method to approximate all intersection points of the following pair of curves. Round to...

A: Before we get into the solution of the question, let's understand a bit about Newton's method. If xn...

Q: Use the Divergence Theorem to compute the net outward flux of the field F=<x,2y,-z> across the...

A: From the Divergence theorem, for a positively oriented boundary surface (outward Normal) of region E...

Q: Answers for 10-12

A: We will solve Q-10

Q: Find the area of the region described. 18 The region bounded by y and y1 2 9+x The area of the regio...

A: y = 18 / (9 + x2)As a first step we need to find the points of intersection of the curve and the lin...

Q: How can I get the result? Which is the result?

A: we are given a function as

Q: Find the relative maxima, relative minima, and points of inflection and sketch the graph for the fun...

A: We have to find the relative maxima, relative minima, and points of inflection and sketch the graph ...

Q: find the volume aquired by taking by region bound by y=x^2 and y=x^4 and rotating it around x=-1

A: To calculate the volume bounded by the curve y=x2 and y=x4 which is rotating about the line x=-1. No...

Q: 1) If an odd function h(x) has a local maximum value at x c, can anything be said about h at the val...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...