Click the best answer * y = −(1+x²)(2+x²) -1 0 -3 3

Q: Given the function f(x) = Find the difference quotient - 2x² f(x+h)-f(x) h Find f'(x) by determining…

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Q: A cup of coffee is served to you at 185 degF. in a room where the temperature is 65 degF. Two…

A: Given that coffee is served at temparature 185°F at room temperature 65°F.Two minutes later coffee…

Q: Solve using Lagrange multipliers. (The stated extreme values do exist.) A one-story storage building…

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Q: 5. Using n = 4 rectangles, estimate the area under f(x) = 2x² +5 to the x-axis on the closed…

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Q: Consider the function f(x) = -x² +50x100. Find that maximizes the function.

A: dxndx=nxn-1for critical points  put f'(x)=0if f''(x)<0, then  maximum

Q: Evaluate: S 2x+4 3 - 2x² dx

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Q: Consider the vector field ♬ = (6xy, 3x² + 6y²). The vector field is not conservative The vector…

A: use partial derivative for finding the line integral

Q: Give an E-S proof for lim 2x²+1=3 x+1

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Q: nts Assignment 3 Let the position of a swinging pendulum in simple harmonic motion be given by s(t)…

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Q: True or false. The integral True -1 False 3 2 1 -1 f(x)dz gives the area of the shaded portion…

A: Here we have to verify whether the given integral for finding the area is true or false.

Q: Find the differential (dz) of the function. z=9.t¹.In (3 y²)

A: To find the differential dz of the following function.z=9·t43·ln3y2

Q: Consider the function f(t) = 5 sec²(t) — 9t³. Let F(t) be the antiderivative of f(t) with F(0) = 0.…

A: Given f( t ) = 5sec2t - 9t3F( 0 ) = 0

Q: us page Consider the following table, and assume that f(x) and g(x) are differentiable functions…

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Q: Question 3 ( Consider the differential equation x²y" - 3xy' + 3y = 2x³ - 3x². (a) Verify that y₁ = x…

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Q: D. Determine whether each of the following series are absolutely convergent, conditionally…

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Q: Consider the following parametric equation. a. Eliminate the parameter to obtain an equation in x…

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Q: Consider the function f(x) = 9x⁹ + 6x6 − 6x³ – 2. m An antiderivative of f(x) is F(x) = Ax" + Bx™ +…

A: f( x ) = 9x9 + 6x6 - 6x3 - 2

Q: Consider the function f(x) = x² +3 for the domain [0, ∞). 1 Find f(x), where is the inverse of f.…

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Q: Find the area of the region between the line y = 2x and the curve y = x² + x - 2

A: We will find point of intersection  y =2x and y = x2+x-2.

Q: - x² + 9x between 1 Use the Fundamental Theorem of Calculus to find the "area under curve" of - a=3…

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Q: Find the slope of the graph of y = 6³ +1 at x = 2.

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Q: Suppose that 0=arcsin(4/5). What is cos(20)? (round to 4 decimals) Your Answer:

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: A local retail business specializing in the sale of personalized baby blankets has a fixed cost of…

A: Given data Fixed cost ( F ) = 2550 variable cost = ( 45 + 5 )x = 50x selling cost per item = 125…

Q: Give the substitution that converts the given nonlinear equation into a linear equation then find…

A: Given Differential equation y' - y = -y2

Q: df (3.2² Find ³x² + 6x³) dx + C

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Q: A swimming pool is nearly empty, holding only 5400 gallons of water. A system is set up so that the…

A: Given that , Total gallons of water = 5400 After how many hours is the pool filling at a rate of…

Q: Draw a graph to match the description given.   ​f(x) has a negative derivative over (−∞,−1) and…

A: We have to take care of slope while graphing....we can not graph actual...because  there is no any…

Q: Consider the following table, and assume that f(x) and g(x) are differentiable functions with values…

A: Let's find value of h'(4).

Q: Find the reference angle for angle 8 Зл 4

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Q: Write the partial fraction decomposition of the following rational expression. 7x²2²-23x+12…

A: Given :- 7x2-23x+12xx+3x+4

Q: Determine whether the series converges absolutely or conditionally, or diverges. Σ (-1)^ n! n = 1…

A: Given

Q: Solve the right triangle and round angles to nearest degree and sides to nearest tenth.

A: INTRODUCTION A right triangle is one in which one angle must be 90o and the other angles are acute.…

Q: Find the area of the region enclosed by y = x = 7 − y ². 2 1 -4 -3 2 -1 -3 Y 2 = 7 3 4 5 Use…

A: I have solved step by step in detail...go through the solution

Q: You invest $1000. If the account grows by 4.8% per year, how quickly will the account be growing (in…

A: Let principal ( P ) = 1000 rate ( r ) = 4.8 % r = 0.048 time = 27 years

Q: A particular solution of x²y" - x(x + 2)y' + (x + 2)y=2x³, x>0, V₁(x)=x, V₂(x)= xex 2x²+x a. b.…

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Q: C. d² dx² [sin² (7x)]

A: For (c),    d2dx2sin27x=ddxddxsin27x=ddx14sin7xcos7x=ddx2sin14x=98cos14x

Q: 3 Find the area of the region between the curve y = and the x-axis, from= x Give the exact value of…

A: area(A)=∫abydxgiven  y=3x

Q: The following chart shows "living wage" jobs in Rochester per 1000 working age adults over a 5 year…

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Q: Given f''(x) = 5x – 2 - and f'(-2) = 2 and f(− 2) = − 5. Find f'(x) and find f(2) = =

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Q: Differentiate implicitly to find d2y/dx2.   x3−5y3=2

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Q: A ball is thrown upward from a height of 2.8 m at an initial speed of 40 m/sec. Acceleration…

A: Given,

Q: True or false. The integral True False *√ - (-√5 + 1)] dic gives the area of the shaded portion…

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Q: A ball is thrown upward from a height of 13.3 m at an initial speed of 45 m/sec. Acceleration…

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Q: Find the derivative of y with respect to z. y=3(2²)

A: dlnxdx=1xlnxn=nlnx

Q: A company manufactures and sells x cellphones per week. The weekly​ price-demand and cost equations…

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Q: A three-sided fence is to be built next to a straight section of river, which forms the fourth side…

A: Length= 18 m , breadth= 9 m  For detail...go through the solution.....I have solved step by step in…

Q: Consider the function f(x) Compute the definite integral x+2 5 for 0 < x < 2 for 2 ≤ x ≤ 3. S f(x)…

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Q: Number of equal real root(s) Number of unequal/unique real root(s) Number of imaginary roots Number…

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Q: Find the derivative of y with respect to t. y = 16 Vt tanh Vt y' = (Simplify your answer. Type an…

A: Derivative

Q: If f p(E) = ²₁, find o(E) and o(E'). o(E)= o(E') Need Help? Read It Watch It

A: given  p(E)=27we know  p(E)+p(E')=1