Sketch the region given by the inequalities x²+ y²+z² <4, x²+ y²≤1, and find its volume and surface area.

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Q: Use partial integration to derive that from image without deriving the right side. Here one can…

A: Let's prove, ∫xtan2xdx=xtanx−21​x2+ln∣cosx∣+C We can use the formula : ∫u dv=uv−∫v du Let's perform…

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Q: The demand for a particular item is given by the function D (x) = 2,000 - 3x². Find the consumer's…

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Q: Please see image

A: Solution- a) Counterexample for statement (a):Consider the sequence an​=(−1)n. This sequence…

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A: The solution has been attached below:

Q: Q2 please

A: I can solve the math problems in the image, but I can help you understand them. The image contains a…

Q: Determine whether the sequence converges or diverges. If it converges, find the limit. (If the…

A: Step 1: Let write the given.an​=1+5n2n​ Step 2: Let write what we want.We want to know if a sequence…

Q: 3. Discuss the pros and cons of using tangent line approximations in the two situations you explored…

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Q: find an equation of a plane containing the three poitns (-1,-4,1), (-3,-5,0), (-3,-4,2) in which the…

A: Alright, let's break this down step by step :) Step 1: To find the equation of a plane containing…

Q: the answer i have for this question 81496800 need to make sure i am right please help

A: any doubt, please ask

Q: 4. Find the sum Σ-4 2-4-- n n+1

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Q: Please help. The answer is not 4.

A: Step 1: By applying the Power Rule of Integration, ∫xadx=a+11​xa+1+c ,  Step 2: To find the…

Q: Please see image

A: In any metric space, the shortest distance between two points is a straight line. Therefore, the…

Q: Consider the elipse with equation x^2+4y^2 =4  (a) Find a parametrization of the elipse that…

A: Step 1:a).To parameterize  the ellipse in a counter clockwise direction starting  from (2,0). use…

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Q: Compute: 1+2 dx

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Q: Find the area between the curves f(x)= 0.9x2+6 and g(x)= x on the interval [-2,5].

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Q: Calculate the following antiderivatives: (8)/2º dr- = (b)/22/1³ dr= (c) +C. +C. +C.

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Q: Please answer parts a and b

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Q: Express as a definite integral the limit as x approaches infinite of 1/n[(1/n)^2 + (2/n)^2 +...+…

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Q: if f(x) = 15 - g(x) for [-2,2] what is the integral from -2 to 2 of (f(x)-g(x))

A: Step 1: Given, if f(x) = 15 + g(x) for [-2, 2] we need to find the integral from -2 to 2 of…

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Q: Solve the equation for x. 35x-2=3 18 X =

A: Last option is correct.

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Q: MAT441 CALCULUS II - PROJECT #4 Exercise 4 Find the derivative of In (1) = y³ - ysinh (x²) with…

A: Here logarithmic simplification used is  log(ba​)=loga−logbThanks for your patience!Kindly comment…

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

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Q: 24. Write a vector (-3, 22, -3) as a linear combination of the vectors (-1, 2, 3) and (0, 4, -3).…

A: 24)  (−3,22,−3)=a(−1,2,3)+b(0,4,−3)(−3,22,−3)=(−a,2a,3a)+(0,4b,−3b)(−3,22,−3)=(−a,2a+4b,3a−3b) To…

Q: Example 3.2. Consider the graph of the function y = (2x - x²), where 02. Compute the area of the…

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A: To determine if the integral ∫01​4y−14​dyis convergent or divergent, we can use the limit…

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Q: 2. Graphing Calculator allowed: A particle moves along a straight line. For 0 ≤ts 5, the velocity of…

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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: 2. A rat runs through the maze shown below. At each step it leaves the room it is in by choosing at…

A: Sure, let's break down each part:(a) Transition Matrix \( P \):The transition matrix represents the…

Q: If g'(x) = f(x) with g(-12) = a, g(−8) = b, g(−3) = c, and g(-2) = d, express the value of -4 1 f x…

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Q: Verify that F Vy and evaluate the line integral of F over the given path: F= (xy², x²y), 4(x, y) = ½…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please don't provide handwritten solution.

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Q: Find and classify the critical points of z = (x² - 2x) (y² – 6y) Local maximums: Local minimums:…

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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: Solutions for question 1(a) please

A: (a)   (b)

Q: Evaluate the definite integral. 7-7sin²0 de 3cos20

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Q: find the limit when x approaches 1 for equation (x/x-1)-(1/lnx)

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Q: *Use first derivative test

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

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Q: Find the derivative of the given function. y= 1 = (8x² + 4x) e¯8 - 8x y' = ☐ (Type an exact answer.)

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

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Q: why did i get this question wrong please help steps

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Q: Solutions to question 3 please

A: Step 1: Step 2: Step 3: Step 4:

Q: The supply for a particular item is given by the function S (x) = 26+ 0.64x². Find the producer's…

A: To calculate the producer's surplus, we need to understand the concept and the steps involved in…