A fast-food restaurant has a cost of production C(x) = 14x + 160 and a revenue function R(x) = 6x. When does the company start to turn a profit? Enter the exact answer. If there is no solution, enter NS. If there is an infinite number of solutions, enter IS. Cl

Q: Find all solutions of the equation in the interval [0, 2π). cos2θcosθ-sin2θsinθ = -1 write all…

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Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: Test the series below for convergence using the Ratio Test. n+ 3 3n+3 n=1 The limit of the ratio…

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Q: 2π 1. The region R is bounded by the x-axis, x = 0, x = 3 A. Find the area of R. sin(). 2 and y =…

A: Given: Region R is bounded by x-axis, x=0,x=2π3 andy=3sinx2

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: lim f(x) x → -2+ lim f(x) x →-2- O False O True 4 3 2+ 1+ -5 -4 -3 -2 -1/ 1 2 3 4 → 5x

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Q: Three men A, B, and C can do a piece of work in hours working together. Working alone. A can do the…

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Q: 13. Determine whether ∞ Σ(-1)* k1/2 k=1 converges absolutely, converges conditionally, or diverges.

A: The given series,    ∑k=1∞-1kk12

Q: Find the total area of the shaded region shown to the right given by the curve y = 2( sin x)√1+…

A: We can solve this as follows:

Q: H.W: find dz and dz as functions of u and v if: ди Əv z = 4e* ln y, x = ln(u cos v), y = u sin v

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Q: The given family of functions is the general solution of the differential equation on the indicated…

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Q: dx -10 x

A: We can solve the integration as below.

Q: The equation of the plane that passes by P(2,0, -1) and that is perpendicular to the line x-5 2-y Z…

A: The plane passes by P2,0,-1 and that is perpendicular to the line x-5-2=2-y4=z-23

Q: Find and for the functions: of Əx af ду bren 2. f(x, y) = x² − xy + y² X (x² + ² noitonut sil 4.…

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Q: H.W: find dz and əz | ди ὃν z = 4e* ln y, x = ln(u cos v), y = u sin v as functions of u and vif:

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Q: C. If w=f(x,y) and x = r. cose, y=r. sine. Prove that aw ar aw +1 (2001) = fx² + fy²

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Q: te the integral 2. 01 jjax + y + -1 -1 (x+y+1)dxdy

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Q: Q4: Show if the series is convergent or divergent cos(n) n√√n n=1

A: Solution is given below:

Q: Given d = and v= -5d +30=< find-5d +3v..

A: The calculation follows easy.

Q: H.W: Find f, f, and f, if f(x, y, z)= x - √y² + z² x=(x.x)\S xh + lis

A: Here we have to use the concept of partial derivatives

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A:

Q: (1) Suppose directional derivatives of the scalar function f(P) at a point P = (x, y), in the…

A: Solution: Let ∇f=xi+yj Then ∇f.3i+4j5=1⇒xi+yj.3i+4j5=1⇒3x5+4y5=1⇒3x+4y=5............(1)

Q: Find the Taylor series of the cubic function x³ about x = = 2. . 12 (x-2) + 1+ X - 2 - 8 12(x - 2)²…

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Q: Problem 2. Solve these integrals using integration by parts 2x - 3 -da, er (a) [ 27 (b) logą (r)da,…

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Q: The triple integral ³(12xze²y²) dxdydz is equal to 3(e − 1) False O K True

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Q: Graph the function. -4 X for -3 <x< -1 for -1<x< 1 -x²+1 for x ≥ 1 L X O

A: This question is related to Functions, we will solve it using given information.

Q: A) Find the value(s) of m so that the function y = ex is a solution of y" - 7y' +12y = 0. B) Find…

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Q: 5 1 3 √x² – 9 S dx

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Q: √2 3y 8-x²-y² ·SS S 0 0 x²+3y² 1. dzdxdy

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Q: Write an equation of the line below. -8 -7 -6 -5 -4 -3 -8 -7 -6 5. 4 6 17 8 X

A: Solving the problem by finding the value of the problem.

Q: Calculate the definite integrals (a) I₁ =¹7 (2x − 1)(x + 2) dx - 18 (b) I₂ =2₂¹8 (x + 2)(√√x - 2) dx

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Q: 31. Find the volume of the solid obtained by rotating the region bounded by x=y²-2 and y=x about the…

A: Let's find volume of solid.

Q: 14. Given are two concentric circles with the outer circle having a radius of 10 cm. If the area of…

A: Let's find border between two circles.

Q: the region of integration, reverse the order of integration, and evaluate the integral. 10 xy 20 Xe…

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Q: For any two nonparallel and non orthogonal vectors a and b with angle between them, it holds that…

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Q: Q21 Choose true or false from the following sentences:- Matrix has only one row call Row Matrix.…

A: we need to tell whether given statements are true or not

Q: 8 Given g(x) = -2x³ + x, answer the following: Part: 0/3 Part 1 of 3 (a) Find g(-x). 8 (-x) =

A: We can solve the question as below.

Q: Find the total area of the shaded regions. (-3,36) -6 ₂ Ау 40 32- 24- 16- 8- -8- y=4x (3,36) y=x 5x…

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Q: Q1) Find the volume of the solid generated by revolving region bounded by the curve (x=√y) & the…

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Q: 5. r² = 1

A: As per the rules of the company we can answer only first question and rest can be reposted.

Q: : Evaluate the integral: √2 3y 8-x²-y² 1. JIJ 00x²+3y² dzdxdy

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Q: Set up, but do not evaluate, an integral that represents the length of the parametric curve Select…

A: Application of integration

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

A: Given: 8-12y+e-3xdx-4dy=0

Q: Sxe 2x dx

A: Integration by parts: ∫u·v dx = u·∫v dx - ∫ddxu·∫v dx dx   We have to evaluate ∫x e-2x dx.

Q: 2. find the derivative of the function g(x, y, z) = 3e* cos yz ,at the point P. (0,0,0) in the…

A: We have a given function g=3e^x cos(yz)

Q: y = 2 16-2

A:

Q: Q5: Find the area shared by the cardioid r = 1 + cos 0 and the circle r = 3 cos 0. Graph the two…

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Q: 1 The linear approximation of tan-6° is? approximation of 3√9 is? 2 The linear

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Q: Situation 1 (items 43-44). For the beam and loading shown in Figure 2, determine the following: 44.…

A: We have to find the tension in cable BC.

Q: We want to use the Alternating Series Test to determine if the series: cos² (**)_~_~(*))) k 3k k=1…

A: