Problem #3: Use cylindrical coordinates to find the volume of the solid bounded by the graphs of z = 39-x²-² and 2 = 3. Problem #3: Enter your answer symbolically, as in these examples

Q: - Find the divergence and the curl of the vector fields A = xz³i - 2x²yzj + 2yz¹k B = x²yi - 2xzj +…

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Q: d) If a b and cld, then (ac)| (bd). e) If a b and cld, then (a + c)(b + d).

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Q: 1. Find the Maclaurin polynomial of the stated degree for the function f with the Lagrange form of…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: standing C1 Describe a situation for which the average rate of change is a) constant and positive b)…

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Q: . A dolphin tank at Sea World is being filled. The tank has a volume of 50,000 liters. In order not…

A: As per norms, we will be answering the first three subparts. If you need an answer to others, then…

Q: Exercise 3 Find y as a function of x if on the log-scale it is given by -1-. What is the continuous…

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Q: Find the area of the region that lies inside the fir r = 7 - 7 sin(8), r = 7

A: Introduction: Let us suppose that y=rt be the equation of any curve, where t varies from a to b,…

Q: Let f(x) x+8 Give exact answers (not decimal approximations). Find the values of a where f'(x) = 7.…

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Q: sin √ dx, n=6

A: As per our company guideline we are supposed to answer only first  qs, kindly post remaining qs in…

Q: (2xy-tany) dx + (x^2 - xsec^2y) dy = 0

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Q: 39. the function given by g(x) y = g(z)? (A) y + 10 = (B) g(4) (z) = (g(x))² (C) g'(z) - 10 = g(x)…

A: Given function  g(x)=sin-x+cosx-10 which can be written as  g(x)=-sinx+cosx-10

Q: Find the derivative of the following functions. Whenever possible, express answer in factored form.…

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Q: Multiply both sides of each equation by a common denominator to eliminate the fractions. Then solve…

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Q: 28. Let f be the function given by f(x) = 2 cos x + 3e. What is the value of f'(0) ? (A) -3 (B) 0 3…

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Q: f(x) = {2 g(x) = 3x - 2k, 2x + 3 if x < -3 2x² if - 3 < x < 4 and 8-3x if x ≥ 4 solve the following:…

A: Given functions  f(x)=2x+3if x&lt;-32x2if -3≤x&lt;48-3xif x≥4 and  g(x)=3x-2k

Q: 16. Let f(x) = 5x¹ and g(x) = e²z+x. If h is the function defined by h(x) = f(g(x)), which of gives…

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Q: Use the Intermediate Value Theorem to show that the following equations have a solution on the given…

A: Note: Since you have asked multiple questions, we will solve the first question for you. If you want…

Q: Let F be a field and let f(x), g(x) € F[a]. Show that the set N = {r(a)f(x) + s(x)g(x) | r(x), s(x)…

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Q: (Population Logistic Model) Let P(t) represent the population of a certain species at time t. The…

A: The main objective is to solve the population logistic model.   As per our guidelines I, allowed to…

Q: Suppose the spotted owls' primary food source is a single prey: mice. An ecologist wishes to predict…

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Q: prove the statements in 1–11. In each case use only the definitions of the terms and the assumptions…

A: For every integer n, if n is odd integer then 3n15 is even.  This is false statement . since last…

Q: If n is a positive integer, which of the following is the equivalent to the expression above?

A: Introduction: The collection of whole numbers and negative numbers is understood as an integer in…

Q: Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: In a hyperbolic plane, let ABCD form a quadrilateral with right angles at A, B, and C. The…

Q: 5x - 15x - 3x X = y = Z = - + + 10y + 23y 5y - - 60z 152z 32z || || || - 15 24 6

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Q: 17. How many 10-digit binary strings are there that have exactly four l's or exactly five 1's? How…

A: Binary number means containing only the digit 0 and 1.Given that there is a 10 digit binary string.…

Q: Approximate the solution z = [0,1] to tan (√x² + 1) dx = 2.

A: As per norms, we will be answering the first question. If you need an answer to others, then kindly…

Q: number of solutions, express them in terms of the - 8 -2 18 X X X = y = Z = - 2x + Y + 2z 6z 4y - =

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Q: For problems 1-5: Use the table below. "Women in Uniform: Female Active-Duty Personnel" Women in…

A: Average Rate of Change: The formula for the average rate of change is,…

Q: How large should n be to guarantee that the Trapezoidal Rule approximation to 3 x4 + 8x³ 18x² + 3x −…

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: (a) Vx(x² > 4 →x>-2). (b) Vx3y (2x + y² = 0). (c) Vxy(x² + y = 25). (d) 3xy(x² + y² = -1).

A: a False b False c True d False

Q: Theorem 1.3. Given integers a and b with a + b > 0, there exist integers x and y such that gcd(a, b)…

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Q: dr We saw earlier in the course that the derivative of a single variable function is a linear…

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Q: 2. w³+wz²z)dw + (z³ + w²z-w)dz = 0

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Q: our charges are located at the corners of a square, as shown. What are the magnitudes and directions…

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Q: it agrees with the (i, j) entry of the right side. First we make things clear by specifying that A…

A: As per guidelines, I can prove only first question (Question number 11.5.2)

Q: I need help with D please.  Solve the following LP Maximize $4x + $5y Subject to            4x +…

A: Given inequalities are as follows : 4x+5y≤726x+5y≥27-3x+8y≤0x,y≥0 Objective function is zmax=4x+5y…

Q: Eliminate the arbitrary constants of the following

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: Let In=f cos" ardx. Show that: In = n COS n-1 x sin x + n-1 n -In-2, n> 2.

A: Given:  In=∫cosnxdx                                                       ..........1 To Prove:…

Q: Prove or disprove f(n) + g(n) = O(max(f(n), g(n))).

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Q: Recall a function is called even if its graph is symmetric with respect to the y-axis. Draw a sketch…

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Q: Given a 4x4 matrix as follows: Row 1 (4.2,20,-42.5,-16); Row 2 (-2,0,4.6,-32); Row 3…

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Q: 1. Consider the system of linear equations shown below. 3a 23 + 5y = 14 a-B=-1 2a + 4y = 14 a) By…

A: The given system of equations, 3α-2β+5γ=14α-β=-12α+4γ=14 We have to find the solution of this system…

Q: 2.1.2 Im(iz+1-i) < 2 2.2 Find all solutions of the equation cosh z = -2, where z E C.

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Q: Prove that for all n € N, 91(4" + 6n + 8) and n € N, 31(n³-n).

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Q: əz Ət = əz əx əx ət + əz Əy ду дt Let function g (x,y) = 3x + y ln y sin (1 − x) Assume z as…

A: To find the derivative of the z with respect to the independent variable t we use chain rule. We…

Q: If C ≤R is closed, whether or not f²² (c) is closed

A: If f is continuous on R then for every open set U⊂R , f-1(U) is open in R. Let C⊂R is closed. Then…

Q: Find a formula for 2+22 +23+...+2+1 for positive integer n

A: We use induction method.

Q: 7. Prove that in hyperbolic geometry, the 4th angle of a Lambert quadrilateral is acute.

A: To show : Lambert quadrilateral is acute in hyperbolic geometry.

Q: Obtain the general solution of the following differential equations 1. (1-x)y¹ = y² I.

A: An ordinary differential equation is a differential equation containing one or more functions of one…

Q: Let w = F(x, y, z) = -x² tan(yz) + e²+¹ ln(xy). Let P be the point (1, e, 0). (a) Find the rate of…

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