³ f(42° +22³) dz Find + C

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Q: You need to purchase a cover for this pool. A company sells covers for $2.25 per square foot. Based…

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Q: Given the definitions of f(x) and g(x) below, find the value of (ƒ o g)(−1). f(x) = -x - 12 a(r) &…

A: The function is given as f(x) = -x -12 g(x) = x2-5x-5

Q: 2ydx + x(x² Iny - 1)dy = 0 Ans. y(1 + x²-x²lny) = cx²

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Q: At a restaurant, the probability density function for the amount of time a customer has to wait to…

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Q: The function f(x) = = f(x) = Σ²₂x¹. n=0 Find the specified coefficients in the power series. C2 = C3…

A: We have to find the Region of the convergence of the above equation.

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Q: Confirm that the below limit meets the conditions to apply l'Hôpital's Rule and then solve the…

A: Given query is to find the limit

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Q: The Mean Value Theorem states that if f is continuous on the closed interval [a, b] and…

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Q: Find div (x + 4y + 2zk)

A: We are required to calculate the value of div(xi^+4yj^+2zk^)

Q: For each of the following integrals, explain which technique of integration should be used to…

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Q: Evaluate the integral. 3 (ar ³-7) de 1

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Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3, 12, 48, 192, ... The…

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Q: 3. [2] A company manufactures mountain bikes. The research department produced the marginal cost…

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Q: Find the Maclaurin series for f(x) using the definition of the Maclaurin series. f(x) = xcos(5x) M²…

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Q: Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the…

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Q: Consider the following parametric curve. Answer parts a and b. x = 2t, y=t; t = 2 a. Determine dx dy…

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Q: S2x√4x - 5dx

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Q: + a x≤0 3). Let /(x)=2e (sinx+cosx) x>0 (B) O 2022 (4) 2 is continuous in (-0, +00), then a= (C) 1…

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Q: Use Green's Theorem to evaluate F * = (√x + 5y, 3x +. F. dr, where and C consists of the arc of the…

A: We have to evaluate the integral using greens theorem

Q: Sketch the region bounded by y = x, x + y = 4 and y = 3x and find its area in two ways

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Q: (f) An airplane is flying at an elevation of 6000 feet, directly above a straight highway. Two…

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Q: 1. Solve the recurrence relation an-4an-1 +3an-2 = 0, ao = 1, a₁ = 2.

A: Please see the below picture for detailed solution.

Q: G(x) = 2 sin(3x + tan(x))

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Q: 1) Choose two vectors a and b with all components nonzero. Determine the (approximate) angle between…

A: Topic = Vectors As per guidelines , At a time only one question can be answered. Please repost for…

Q: Suppose an architect is designing a pagoda that will sit on a 8 foot by 8 foot square base centered…

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Q: Given that 1 X with center 2. ∞ n=0 1 1 - X X = to x = || - n=0 Identify its interval of…

A: Solve the following

Q: f(x) = . 1 1+x 10 ich of the following is the power series representation for f(x)? 00 A.Σ (-x10) k…

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Q: ke For what values of the constant k will the Second Derivative Test be inconclusive for f(x, y) at…

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Q: A poster is to have an area of 150 in2 with 1-inch margins at the bottom and sides and a 2-inch…

A: Given Area ( A ) = 150 in2let height = l width = b so lb = 150 b = 150l

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: Minimizing Construction Costs An open rectangular box is to be constructed from material that costs…

A: If it's given that the base is 3 by 3 = 9 sq ft, then the cost of thebase is   ($3/sq ft)(9 sq ft) =…

Q: 50. Jo Jo X Cosy uyux II. Solve the following problems. 1. Write the equation of the curve for which…

A: To find the equation of the curve with the given characteristics

Q: y=2-z²,0≤x≤ z ≤ 6; f(x, y, z) = 6

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Q: Eliminate the parameter to find a description of the following circle (or circular arc) in terms of…

A: We need to find radius.

Q: Please Rewrite this so I can understand

A: Solution

Q: Find the area of the region bounded by y = x² and y = 2x using horizontal strips and vertical…

A: We have to find the area of the region.

Q: Find the general indefinite integral. (Use C for the constant of integration.) (7 + tan² (0)) de

A: The given integral is 7+tan^2(theta).

Q: Approximate the value of the definite integral using the Trapezoidal Rule and Simpson's Rule for the…

A: approximate ∫0164-x23dx, using n=8

Q: [ (102¹ – 14x) dx = Show work and explain, in your own words, how you arrived at your answers. A

A: Topic = Integration

Q: 30 18 28 18 6

A: Note: Since the units of dimensions of the pool are not mentioned, so, we are solving this question…

Q: (g) A helicopter hovers 750 feet above a small island in the ocean. A person sees the helicopter…

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Q: Find the sum of the infinite geometric series. 1 1 1+=+=+=+... 2 4 8 1 1 1 1 1+-+-+ 2 4 8 + ... =…

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Q: Evaluate x² + y² - z dS where S is the part of the cone z² = x² + y² that lies between the planes z…

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Q: Find the slope of the parametric curve x = -3t² +8, y = 6t3, for-co<t<∞o, at the point corresponding…

A: slope is  =dydxand we know that  dydx=dydtdxdtdtndt=ntn-1,   and   dconstantdt=0

Q: -3 ex+e-x 53e 2 - dx

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Q: 7- Find the sum of the arithmetic series 11 +17 +...+365. 16

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Q: Let f(x) be the decreasing and concave up function graphed below: 0.5 0.4 0.3 0.2 0.1 f(x) 1 2 3 5 6…

A: We need to solve integral estimation.

Q: 8. Find the standard form of the quadratic function whose graph has vertex at (2, 4), and passes…

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