VI. Determine the instantaneous rate of change of the functio: sin (³) f(x) = V² siz r³ 1 + √t at x = 1.

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

A: topic- quadratic equations and derivatives

Q: Partial Sums An arithmetic sequence has a first term of -1 and a common difference of -17. If S₁,…

A: We have to find the sum

Q: What is the component form of a vector with a magnitude of 17 and a direction of 125°?

A: To find the component form of the vector whose magnitude and direction are given.

Q: ƒ sin (3x³) dx

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Q: The graph of a function y = f(x) on the interval [ - 3, oo) is shown below. Use the graph to answer…

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Q: (Requires a short but nontrivial geometric Let ABC be a triangle argument.). with angles…

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Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, R'(x)=(x+2)ln(x+2)

Q: 1. Evaluate L²S³ (2y³ + x²y) dx dy

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Q: 3. Find f'(z) and f"(x) if f(x) = lnx + 2 cos³ r.

A: topic- derivative of a function

Q: (c) 0$ y = cos (√√x² +1) (d) y 2x 2x +1

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Q: -0.03t The function f(t) = 9000 e represents the rate of flow of money in dollars per year. Assume a…

A: The present value

Q: A hotel rents rooms to customers by the night. The hotel determines that if it sets the price of the…

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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:

Q: Find the equation of the plane containing the points (0, 1, 3), (2, 2, 2) and (3, 2, 1)

A: Given: points (0,1,3), (2,2,2), (3,2,1) Find: equation of the plane containing given points

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

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Q: Use the chain rule to find where st the pieces: z = x²y + xy², x=3-t³, y=3-t6

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Q: 9 To express Q(x) = cos(4x-5) as the composition of three functions, identify f, g, and h so that…

A: The given function is  Q(x)=cos9(4x-5).

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

A:

Q: What is the volume in cubic units of the solid formed when the region is revolved about x = -1?…

A: The objective is to find the volume.

Q: A farmer wants to fence an area of 6 million Square feet in a rectangular field and a divided in…

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Q: 48-50. f(x) = 3 1 5 x2-4x2-8x2 4

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Q: The bacteria in a certain culture increase according to dN/dt = 0.25N. If originally N = 200, find N…

A: Integrate the equation.

Q: Use the linear approximation to estimate In (√0.99).

A: Given problem:- Use the linear approximation to estimate In(3√0.99).

Q: Com A real estate firm estimates that the value of a certain property will be given by the function…

A:

Q: Problem 7. Find the limit lim f(x), where 2--2 x²-4 2+21 x-2

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Q: Given that Inx+3 f(x) = 3lnx-1 Find the formula for f−¹(x). State the domain of f−¹(x). Show all…

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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: 3. How much work does it take to pump the water in a full tank to 2 ft above the tank in the…

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Q: Given that sin(0)= TT 3 and 2 <0<π what is the exact value of cos(20)?

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Q: Find the equation of the family of curves having the given slope, and the equation of the curve of…

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Q: A.The table indicates that a(1)= 2m/s. What does that tell you about the velocity B. The table…

A: Given

Q: P= tan (x- P 1+p²

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Q: The cost, in thousands of dollars, of airing X 30-second television commercials during a Super Bowl…

A: Note:- These are multiple sub parts question and according to our company guideline we can do…

Q: 3. Find f'(x) if f(x)= 3 2x + sin r

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Q: Use double integration to find the volume of the solid on the first octant enclosed by the curves x²…

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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: 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: In the 2000 U.S. Census, a small city had a population of 45,000. By 2010, the population had…

A: Given  Population in 2000 = 45,000  Population in 2010 = 65148

Q: 10x-3y For the function f(x,y,z)= 8z + 1 fx=0 find fx. fy. fz, and fyz-

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Q: An equation of a hyperbola is given. 7²-2=1 (a) Find the vertices, foci, and asymptotes of the…

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Q: 8. Find the area of the region in the first quadrant bounded by the curves y = sin x, y = cos x and…

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Q: Q1: Solve the following PED: ди ди = дı ?x² ; if u (x, 0) = 2x when 05x5 05x52

A: Note:- These are multiple questions and according to our company guidelinne we can do maximum 1…

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: 3. Find f'(a) if f(x)= e7x 2x + sin³ x

A: In this question, we want to differentiate the given function f(x) with respect to x.

Q: Use the Second Derivative Test to find all relative extrema. h(t) = -x + 6x² - 4

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Q: II. Evaluate the following integrals. 4. J 9x² 9x → 5 - 18x + 13 - dx

A: A detailed solution is given below.

Q: -.f x³ ex² dx 3

A:

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: Consider the function f(x,y)=-2x²+12x-6y²+4y+4xy+24. (a) Find the partial derivatives of f(x,y).…

A: As per guidelines, I can answer maximum three sub parts of a question. To know rest, please repost…

Q: Let f(x, y) = − sin2 (2x − y) Evaluate fx and fy at (π / 4, π / 3)

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