Write a triple integral, in spherical coordinates, that describes the volume of the lower hemisphere (solid) whose radius is 2. Be sure that your integral describes the LOWER half, not the upper half of the sphere.

Q: Evaluate the sum: 2k), for n=21. k = 1

A: We can find the answer as below.

Q: Determine if the geometric series converges or diverges. If it converges, find its sum. 3 4 4 +…

A: The series is of the form∑n=0∞45nsince 45<1 By geometric test ∑n=0∞45n  converges

Q: find the equation of the tangent line to the graph of the logarithmic function at the point (1,0)…

A: Given problem:- find the equation of the tangent line to the graph of the logarithmic function at…

Q: 4 Find the inverse Laplace transform of s? + 8s

A: As we know from the property of the Laplace transform; L-1a·fs+b·gs=a·L-1fs+b·L-1gs And…

Q: Determine if the sequence {a,} converges or diverges. Find the limit if the sequence converges. 4-…

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Q: (a) Using series we already know, write down a formula for the (infinite) Taylor series for er - e",…

A: (a) The series used is: ex=1+x+x22!+x33!+x44!+...                 ...(1)

Q: (х - 1)(х - 4) 38. у- (х - 2х - 3)

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Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

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Q: Consider the definite integral V11 dæ. - 2x -3 The most appropriate substitution to simplify this…

A: Solving

Q: Consider the angle shown below with an initial ray pointing in the 3-o'clock direction that measures…

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Q: Given, f (x) = for æ + 3; f-1 (æ) x +2 x – 3 | Of-1 (x) x-1 3x+2 Of1 (x) = * Зх +2 x-1 x- 2 f-l (x)…

A: We have to find f^-1(x)

Q: Sketch a possible graply for a function g (x) that' has ALL the stated conditiôns.- Label your…

A: Here, to plot the graph with the given conditions. Here, the point on the graph is (2,4), Next, the…

Q: Determine the true statement (A) not a function. (B) function; domain: {-3, -3, -1, 0, 1, 2} (C)…

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Q: 1. f(x) = 4x + 7 3. f(x) = 2x -r + 5x %3D

A:

Q: Express the repeating decimal as the ratio of two integers. 0.3 = 0.3333. The ratio of two integers…

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Q: 14) Test the secies for convergane divergence or 2. (-1)"

A:

Q: Determine which graph corresponds to the area enclosed by the curves y = 3a and y = 2 + 2. 5- 8-…

A: Given the curves are  y=3x2 and y=x2+2.

Q: Jse Stokes' Theorem to evaluate F. dr where F(x,y, z) = xi + yj+ 2(x² + y²)k and C is the boundary…

A: answer is in next step

Q: Find: 1. Sjs(x)dx

A: Given:

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: Completion Status: A Moving to another question will save this response. Question 5 Suppose a rock…

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Q: When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the…

A: we have to find equation of motion .

Q: The supply for a particular item is given by the function S(r) 23 + 0.81a2 Find the producer's…

A:

Q: So r dr do

A: Follow the procedure given below.

Q: Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

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Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: 6 Determine the interval of convergence for the power series that can be used to represent the…

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Q: The following table gives the approximate amount of emissions, E, of nitrogen oxides in millons of…

A: Please see the explanation below and appreciate my efforts...

Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

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Q: xsin x dx

A:

Q: Find all the local maxima, minima, and saddle points ne function. f(x,y) = /56x2 - 8y² - 16x – 31…

A: When a function has the largest value it is called local maxima  and when it has the smallest value…

Q: Find the antiderivative of the function f(x) = 8x³ – 18x2 + 14x - 4 that satisfies f(0) = 0. ANSWER:…

A: Given the query is to find the antiderivative.

Q: D(X) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: 1.) Find the area bounded by the lines and curves y = 4x – x°, x =1 and x = 3

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: A farmer is constructing three equally-sized pens against the side of a barn for his animals, as…

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Q: In 7 years Harry and Sally would like to have $20,000 for a down payment on a house. How much should…

A:

Q: 2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to…

A: We can solve this as follows:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: Find the critical point and determine if the function is increasing or decreasing on the given…

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Q: Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence…

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Q: Is the following statement true or false? If f(x) > 0 and g(x) > 0 and f (x) > g(x) on [a, b], then…

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Q: The function values f(x) in the table below is increasing for 0Sx< 12. 0 369 12 f(x) 34 35 37 4244…

A: (A)∆x=3Then right hand sum =∆x(f(3)+f(6)+f(9)+f(12))                                =3(35+37+42+44)…

Q: function is defined on the closed interval[-4,8] consists of two linear pieces and a semi circle…

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Q: An object moves along a coordinate line with velocity U(t) = ((9 - 1) units per second. Its initial…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: An object moves along a coordinate line with velocity v(1) = r(9 - 1) units per second. Its initial…

A: Given:    v(t) = t ( 9 - t )     x ( 0 ) = - 5    t = 13

Q: Which of the following functions is always equal to its (first) derivative? O a) In(x) O b) e5æ O c)…

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Q: For the curve defined by F(t) = 4 cos(t)i + 4sin(t)j + 5tk evaluate s = ||F"(«)||du to find the arc…

A: see below the answer and explanation

Q: QUESTION 12 Let S(x) =x2. Find the producer surplus at the equilibrium. x =3. $2 $ 27 $9 $ 18

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Q: A mass weighing 32 pounds stretches a spring 2 feet. Determine the amplitude and period of motion if…

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