What is the integral of (2 sec^2x - sinx) dx? * O 2 cosx+tanx + C 2 tanx + sinx + C 2 tanx + cosx+C O 2 sinx + cosx+C O

Q: . A family wants to build a fence in their backyard for their dogs, but the cost for the previous…

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Q: 2. A particle is moving along an s-axis, where s is in feet. During the first 5 seconds of motion,…

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Q: The height (feet) of a ball launched in the air t seconds after it is launched is given by: f(t) = -…

A: Given :Hight of a ball in t isf(t)=-16t2+374t+15

Q: Read and understand the problem carefully. Show your solutions. 1. The Basco Lighthouse has a…

A: Concept: Trigonometric functions: Circular functions, normally referred to as trigonometric…

Q: A cylindrical can without a lid is to be constructed to contain 800 ml of liquid. Determine the…

A: This question can be solved using the concept of maxima and minima.

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: Here we have to find the volume.

Q: dy dx = x+1 2(y+3)

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Q: Given Cost and Price (demand) functions C(q) = 110q+40000 and p(q) = -2.6q + 800, what is the…

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Q: Evaluate the limit using the L'Hopital's Rule. 1 - cosh x lim x→0+ ln(x² + 1)

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Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

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Q: solve by the method of undetermined coefficients. b.) y''+4y=5sin(4x)

A: We need to find D.E.

Q: Find the formula for the sequence below: -5,15,-45,180,...   a an=-3(-5)n-1 b an=5(3)n-1 c…

A: We have to find the formula

Q: Find the 1) Sketch the ii) Determine the ::::.) Set-up iv.) Integrate 2 ²) y = x ²²₁₂ y = 2 = x₁…

A: Given problem:- Find the area bounded by curves y=x2 , y=2-x, x≥ 0

Q: 1 - ₁ - £x² = 1 + x + x² + X x=0 +++1-23-²² 3! sin x-(-1). cos x=(-1)- -(-1*- 1 - 2 + 1 - 4 - =…

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Q: Determine the angle formed between the following two planes: T1: 5x - 4y+z=3=0 T2: 3x - 4y + 2z+8=0…

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Q: Evaluate: √x(x - 5)dx Solution: √ √x(x - 5) dx = f x²(x - 5) dx by law of exponents/ = f (x² - 5x)…

A: Given problem:- ∫√x(x-5) dx

Q: A particle moves along a straight line from the origin (at t=0) with the given velocity v. Find the…

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Q: Find the linearization f(x) = √x, L(x) = L(x) of the function at a. a=4

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Q: Evaluate efffxv xdv,where D is the tetrahedron with vertices (0,0,0), (2,0,0), (0,2,0) and (0,0,2).

A: Given problem:- Evaluate  ∫∫∫D xdv ,where D is the tetrahedron with vertices (0,0,0), (2,0,0),…

Q: Given cost and price (demand) functions C(q) = 110q+41,500 and p(q) = -1.9q+870, what is the…

A: Given  Cost function C(q) = 110q + 41,500  price function p(q) = -1.9q +870

Q: Simplify the expression (1 - i)(√3+i) (1 + i)(√3-i) and express your answer in polar form where r> 0…

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Q: The joint cost (in dollars) for two products is given by C(x, y) = 24 + x² + 3y + 2xy where x…

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Q: B. Find the derivative of each of the following functions. 14. f(x) = x² + 5 3x + 2

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Q: Let f(x, y) = (x³ − x)(y² – 1). Find fry(x, y).

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Q: F T M 3. Let et = 2 . Find a power series nào ng t² a) Find a power series for te . obtained in @)…

A: We want to evaluate the power series of the given expression and want to integrate it.

Q: Question 1. Sketch the following regions in the xy-plane. Make sure to shade the region and label…

A: To sketch the given regions in xy plane.

Q: For the function defined as follows, find all values of x and y such that both fx(x,y) = 0 and fy…

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Q: Evaluate 2y"+3y'-2y-te-2t ,y(0)=0, y'(0)=-2

A: answer is in next step. please give a like !!

Q: Evaluate the integral of e^x^3 x^2 dx from 0 to 2. * 973.10 O999.40 876.56 993.32 Final rated…

A: As per guidelines,  we support one question in one request . Kindly repost next question in next…

Q: True

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Q: A car is slowing down at the rate 0.8 ft/sec². How far will the car move before it stops if its…

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Q: 2)dy - ydx = 0 (x + y cot ) dy

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Q: Find the domain of the function of 5 log₂ (4-x²)+11 f(x) = 12x-31-2 + sin¯¹(1 − 2x) Express your…

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Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√92¹-1…

A: Topic = Derivative

Q: The weekly investment report shows each company's stocks with its high bid, low bid, closing bid…

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Q: Use implicit differentiation to find ∂z/∂x when xz+z2=yxz+z2=y

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Q: A company produces a special new type of TV. The company has fixed costs of $496,000, and it costs…

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Q: The cost to produce a certain commodity is given by the function C(x) = 50x + 2,000 The…

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Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Let x and y be the dimensions of the rectangular field. According to given , Area(A)= xy= 4000…

Q: 2. Find each of the two areas bounded by the curves y = x³ - 4x and y = x² + 2x

A: Given problem:- Find each of the two areas bounded by the curves y = x3 - 4x and y = x2 + 2x

Q: You deposit $2000 in an account with 3% annual compound interest. Complete the following, assuming…

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Q: 6. y dy 1+√√y √

A: The given integral,        ∫y dy1+y

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^2 and y = 2x…

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Q: Your farm encompasses 900 acres, and you are planning to grow soybeans, corn, and wheat in the…

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Q: Sort St Question 2. Evaluate the following integral region). Show all your work! cos(x²) dx dy. Make…

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Q: Evaluate SSA, dA, where R is the region bounded by y=x2 and x = y² in the first quadrant. X

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Q: 6. A family wants to build a fence in their backyard for their dogs, Charlie and Linus. The enclosed…

A: Given:     Area = 4000 sq meter

Q: 4. Let sinx = Ź (-1)" x²n+) 2n+1 n=d ♦ a) Find a paver series for xsinx, Differentiate the power…

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Q: The function f(t) = 1200 represents the rate of flow of money in dollars per year. Assume a 5-year…

A: We are given  f(t) = 1200 as the rate of flow of money in dollars per year.  Interest rate= 4%…

Q: 1. Evaluate 2. Evaluate sin(20) 30 x-2x cos x sin x limo lim, 0

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