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Q: Use Lagrange Multipliers to solve the following: Maximize f(x, y, z) = 4x + 2y + z subject to r² +y…

A: Max   f(x,y,z)=4x+2y+zsubject to x2+y+z2=1

Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: Consider the two series: 2n + 3 (а) n² In n n=1 00 1+ (n – 1)! (b) E n! n=1 Which of the following…

A: 1) Hee, note that the first series first term it self a infinity.

Q: Suppose that k(x) is a continuous function defined on the domain 0 sxs5 and is graphed to the right.…

A: Critical points are defined as those points where the derivative ia either zero or infinity.

Q: Use Newton's method to approximate a root of the equation 3x' + 3x* + 2 = 0 as follows. Let r1 = 2…

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Q: 16n+3 (-1)"-1, n=1 n²+3 a) Determine whether or not the series is absolutely convergent. b)…

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Q: Maximizing construction costs The management of the UNICO department store has decided to enclose an…

A: answer is in next step

Q: So 0 cos r0 do

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Q: Find the integral of f(3x2 + 4x + 1)*(3x + 2)

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Q: Find lim r0+ sin x 1- sin x 6. Find lim CSc x

A: As per guidelines, I can answer only one question. Since you have asked for multiple, So I did first…

Q: Question 19 Evaluate the integral given. c(2x)tan(2a)dx +C %3D > Next Question

A: To find out the integration.

Q: It is possible to find a value for a so that the series 1 + n° na+1 n=1 is convergent. Select one:…

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Q: Suppose that a function f(x) satisfies the following properties, together with the table of signs…

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Q: Determine the linear approximation of f(x) = =ª at æ = 1. O a. y=- 4x-3 O b. Not in the list O c. y=…

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Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: Find two positive angles and two negative angles that are coterminal with the given angle and less…

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Q: Use the definition of continuity to show that h(x) = x^2 + 5x/2x + 1 is continuous at the number a…

A: The given function,   h(x)=x2+5x2x+1

Q: A ball is dropped from a height of 64 feet. Its height above ground t seconds later is given by s(t)…

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Q: Evaluate the indefinite integral solve for two cases csc² 20 cot 20 de

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Q: Oyp-3xpy +2x=0.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: A ball is thrown vertically upward with a speed of 15 m/s. Determine the maximum height and the time…

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Q: Evaluate the integrals for 16 sin²x cos²x dx X,

A: Given ∫16sin2x cos2x dxTo evaluate the integral:

Q: Part (3) Double Integration in Cartesian coordinates: 1) Find the volume of the solid under the…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: Given problem:- A rectangular garden is fenced on three sides, and the house forms the fourth side…

Q: For the function shown bellow; Find the second order derivatives : af/ay (a^2 f)/(ay^2) f (x, y) =…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Let A(x) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t =…

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Q: Use sigma notation to write the following left Riemann sum. Then, evaluate the left Riemann sum…

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Using L'Hopital's rule, calculate the following limit: T-sin r lim, 0 O 1/6 O 1 O does not exist

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Q: 422+8z-18 dz 3. S

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Q: 1/5 Find the minimum and maximum values of the function y = (t – 312)" on the interval [-1,2] by…

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Q: J cos 3x cos 4x dx :

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Q: The ladder 7.5 meters long is leaning agains the wall of a house.  The base of the ladder is being…

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Q: •1//2 4 c) dx. VI – x² 1/2

A: To evaluate the integral.

Q: Find * L(e2t t2)

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Q: 8. 1 is convergent or ) Use the Integral Test to determine whether the series divergent. "(Зп — 1)?…

A: To determine whether the series is convergent or divergent.

Q: Find the equation of the plane passing through the three points A = (-1,0,2), B= (2, –1,2), C = (3,…

A: Given problem:- Find the equation of the plane passing through the three points A = (- 1, 0, 2) B =…

Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

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Q: Consider the following differential equation. y" + 2y - 24y = x Proceed as in this example to find a…

A: We need to solve D.E.

Q: Consider the function f(x) = : x2. (a) Find the intercepts of the graph of f (if any). (b) Find the…

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Q: 3- Given r= (-3,10) and s= (12,-7), find a- r+s b- s-r.

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Q: Solve the equation 3sin2x+sinx+8=9cos2x for −180∘≤x≤180∘, giving your answer correct to 2 decimal…

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Q: O2/ Find all Max. Mn. Saddle point for the function Lelowr lay) = 2xy-5x-2y" + AX+4y-4 %3D

A: Maximum , Minimum and saddle points for f(x ,y) :   For critical points , fx(x,y) =0 = fy(x,y) (say)…

Q: (r -4 ifx2 6. f) = 4

A: Given query is to find function is continuous or not.

Q: A spherical balloon is being filled with air at the constant rate 2 cm^3/sec. How fast is the radius…

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Q: S V25 – 4x2

A: According to our guidelines we are supposed to answer only the first question if you want any…

Q: Determine whether or not F is a conservative vector field. If it is, find a function f such that F =…

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Q: Determine the values of y such that D(9,3,-2), E(3,4,7) and F(21,y,-20) are collinear

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Q: he region between the graph of y = 4x – 8 and the x-axis from - 2sxs6 Ay 30-

A: Topic:- geometry

Q: 1) A box containing a group of balls (blue and red) totaling 25 balls. If nother Five blue balls are…

A: Topic:- probability