Compute the improper integral dx (x-1)2

Q: Ay 4000- 3500 3000 G 2500 2000 1500 1000 500 0- 0 2 4 6 8 10 12 Years after 1980 14 The blue curve…

A: From The Graph, In 1988, t=8At t =8,f′(t)=300 billion per year.

Q: An open-top rectangular box is being constructed to hold a volume of 350 in³. The base of the box is…

A: Step 1: Let the dimensions of the open-top rectangular box be a,b,c inches respectively. then the…

Q: 4. 7

A:

Q: Solve the triangle. C = ° (Do not round until the final answer. Then round to the nearest degree as…

A: Step 1:from the figure, we have two angles and one side length, we need to find the remaining angle,…

Q: Question 2 (1 point) The concavity of y = x³ − 2x + 1 at x = 1 is? A) Undefined B) Concave DOWN OC)…

A: We can determine the concavity at  x = 1 for the function  y = x3 - 2x + 1 by examining the second…

Q: Solve the differential equation xy2y' = x + 1.

A:

Q: I already answered the first one and it says to report answers accurate to 1 places. This is not…

A:

Q: calculate..... along the curve in the first octant given by x^2+y^2=1, z=2x

A: Step 1:Step 2:

Q: Solutions to question 3 please

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: x+2x-1 We want to compute (2-2)2 d. (x²-x-2)2

A:

Q: Explain why each of the following integrals is improper. '3 (a) X dx 2 Since the integral has an…

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve each of the following

A: Step 1:Step 2: Step 3: Step 4:

Q: For these questions use the first derivative process to show the second part of the AST condition…

A: (a)Step 1: Given : ∑0∞​k2+1(−1)kk​ Verifying the conditions of 1st derivative test- Step 2: Now…

Q: Please do the following questions with full handwritten working out.

A:

Q: Assume the acceleration of the object is a(t) = -32 feet per second per second. (neglect air…

A: Step 1:Step 2:

Q: The rational function V (t) = 390t t +4 models the velocity, V (t), in miles per hour, of a dragster…

A:

Q: Sketch a graph of the polar equation and find the tangent lines at the pole for 0 ≤ <π r = 5 sin(20)…

A: First, note that (sin(2θ)) completes one full cycle from  (0) to (2π) as (θ) ranges from (0) to…

Q: Help

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Hello, how do I simplify factorials? For example: n!/(n+100)!

A: We can simplify the factorial by expanding the  and canceling the common terms:  lets simplify the…

Q: K The population density of a city is given by P(x,y) = -20x² - 20y² + 200x +480y+ 190, where x and…

A: To find the maximum population density, we need to find the critical points of the function and then…

Q: Use the disk method to find the volume when the region between x = y = 4, y = 0, and x = 0 is…

A:

Q: 16

A: Step 1:

Q: 9) 40 ft The 40 ft diameter waterwheel at Deleon Springs State Park is an old sugar mill that turns…

A:

Q: Consider the following piecewise-defined function: f(x) = { 4-ax² if x ≤1 b 2x if x > 1 Find the…

A: Ans :Now we need to sketch the graph in the interval [-3,3]Firstly let's find some points on the…

Q: coth-1 x = tanh 1 x 1 x Prove mathematically that the right-hand side is equal to the left-hand side…

A: Steps and explanations are as follows:In case of any doubt, please let me know. Thank you.

Q: Find the derivative of y y = log2s e-logs√x (-x-1)/(xln5) ○ (x-1)/(xln5) (x-1)/(2xln5) ○…

A: Step 1: Step 2: Step 3: Step 4:

Q: Use the disk method to find the volume when the region between y = x, x = 0, and y = 1 is rotated…

A:

Q: Solve the triangle. A 109°, C=26°, c=250 B = (Do not round until the final answer. Then round to the…

A: Step 1: Step 2: Step 3: Step 4:

Q: Calculate the 3x3 determinant: 3 2 -5 -3 4 -3 -6-7 -4

A:

Q: What are the first three terms of the power series for sin(x) ? ex

A: Step 1:​f(x)=exsin(x)​Using the Maclaurin seriesA Maclaurin series is given by…

Q: Compute the average value of the function f(x,y) = x^2+y^2 on the diamond (square) with vertices…

A:

Q: 4) Solve the equation sin2x = 2sinx on the interval on [0,2]

A: To solve the equation sin(2x)=2sin(x) on the interval [0,2π], we can use the double-angle identity…

Q: 5. Determine if the following pair of planes are perpendicular. π, 9x-3y-5z = 20 and ₂…

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the open intervals where f (m) is concave up and where it is concave down. Enter the intervals…

A:

Q: Test the series below for convergence using the Ratio Test. n= (-1) "42n+1 (2n+1)! The limit of the…

A:

Q: Q2

A:

Q: Find the area of the surface generated by revolving the curve y = √√/85-x, 36≤ x ≤ 49, about the…

A:

Q: Find the open intervals where f (z) is concave up and where it is concave down. Enter your answer in…

A: Step 1: Step 2: Step 3: Step 4:

Q: Compute the line integral of the scalar function f(x, y, z) = 2x² + 8z over the curve c(t) = (et,…

A: You may refer to the step by step guide from below:…

Q: -t An object moves in a straight light according to the position function s(t) = 2te where s is in…

A: Step 1: An object moves in a straight line   with position as a function s(t)=2te−t , where s is in…

Q: Can you please solve this integral with a step by step explanation?

A: Step 1: Step 2: Step 3: Step 4:

Q: Solve the triangle. a 6, c 2, B 90° b= (Do not round until the final answer. Then round to the…

A: Thanks for your patience!Kindly comment if you need any clarifications.

Q: Let f(x) = 14 - 2x. (a) Sketch the region R under the graph of f on the interval [0, 7]. y 15 10 y…

A: (a)(b)(c)(d)Do the appproximation improved = Yes.

Q: The supply for a particular item is given by the function S (x) = 18+ 0.36x². Find the producer's…

A: Approach to solving the question: The producer surplus is the area between the supply curve and the…

Q: sinhx In (x + √√x² + 1), cosh x = In (x + √√x² + 1), tanh x = In 1+x x x≥1 |x| 1 x sech1 x = cosh…

A: Approach to solving the question: Detailed explanation: Examples: Key references:

Q: Evaluate the improper integral from the image and possibly prove that it diverges.

A:

Q: you don't need to give the equation for (a). I just need help with the other questions

A: For any query with the solution, please ask in the comment box.

Q: 3. Given the piecewise function, find each function value. (1 pt each) a) f(0)= b) f(12) = (x+4)²…

A:

Q: Find the length of each section of the interval [0.1, 0.52] when it is divided into 6 equal…

A: Dividing the interval [0.1, 0.52] into 6 equal sub-intervals means finding the length of each…

Q: 4. 1

A: Step 1: