The vertical velocity of a cork bobbing up and down on the waves in the sea is shown below. In this graph, upward is considered positive. the drop down options are the options to choose from. Please answer asap and write neatly please.

Q: What is the size of the payments that must be deposited at the beginning of each 6-month period in…

A: Given query is to find the semiannual payment.

Q: Find the derivative of the function. g(x) = 4x² 1 tan(x) V7+ 4 dt

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Q: MATH 0121-LAB 8 1. The time it takes for an exponentially growing quantity to double is given by…

A: We have to find the time of doubling.

Q: Find the critical points of the function f(x) = x²-25 x²+x-30 Use a comma to separate multiple…

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Q: 2. Let f(x) = x3 3 -x+1. "Somes to (a) Find the value(s) of x for which f'(x) = 0. (b) Find the…

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Q: Find the linear approximation to the function f(x) = 3x + 4 at a =3, [0,6].

A: Linear approximation formula f(x) = f(a) + ( x-a )f'(a) Given f(x) = 3x + 4

Q: what is math

A: Definition of mathematics

Q: lim 1→3 n 2 i=1 1 n1+ (2i/n)

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Q: For the function f(x) given below, evaluate lim f(x) and lim f(x). x18 x118 Provide your answer…

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Q: Use the Direct Comparison Test or the Limit Comparison Test to determine the convergence or…

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Q: X , 0≤x≤6000. A company manufactures and sells x television sets per month. The monthly cost and…

A: The solution is given below

Q: Write each equation in polar coordinates. Express as a function of t. Assume that r > 0. (a) y = -9…

A: NOTE: Refresh your page if you can't see any equations. . use the cartesian to polar substitution…

Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: we need to find the polar coordinates

Q: How many of the following statements is/are true? In(xy) = (lnx) (In y) • The slope of a line…

A: To determine the number of statements that is/are true.1 lnxy=ln xln y2 The slope of a line tangent…

Q: Consider x^5 + 5xy^4 = -19197, find dy/dt when x = 3, y = -6, and dx/dt = 2 dy/dt = ?

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 3 + 2y²,…

A:

Q: Suppose that for a company maunfacturing calculators, the cost and revenue equations are given by C…

A: We have to find the rate of change of cost, revenue and profit.

Q: The region W lies below the surface f(z,y)-8e (3) and above the disk z² + y² ≤ 16 in the zy-plane.…

A: We have to find the area and volume integrals.

Q: Find the | y' = 12x³ – 12x² – 12 Oy' = 6x² + 6x Oy' = 6x² - 6x Oy' = 12x + 6 derivative if y = 2x³ +…

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Q: 5. Set up a triple integral to find the volume of the tetrahedron that has vertices (0,0,0),…

A: Given Vertices ( 0,0,0 ) & ( 0,0,4 ) & ( 3,0,0 ) & ( 0,4,0 ) ∫∫∫dydzdx

Q: (a) The Cartesian coordinates of a point are (1, 1). (i) Find polar coordinates (r, 0) of the point,…

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Consider the following. f(x, y) = By y. y=3x-x² 0 D y=x (a) Express the double integral "fb" PLC (2,…

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Q: 3. Find two positive numbers whose sum exceeds the sum of their cubes by the greatest amount.

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Q: Consider two nonnegative numbers x and y where x + y = 2. What is the maximum value of 11x²y? Enter…

A: Let's find maximum value of function.

Q: Compute the coefficients for the Taylor series for the following function about the given point and…

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Q: 1. Solve the initial value problem y' -1 -2 1 4 2 5 2 -2 0 y, y (0) E 5 -1

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Q: 2. x² dx |x2+16

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Q: Find the length of the curve y = In (5 sec x) from 0sxs; 3 T Set up the integral that gives the…

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Q: Consider two nonnegative numbers x and y where x + y = 15. What is the maximum value of 14xy? Enter…

A: Given query is to find the maximum value of the Indicated expression.

Q: For each of the following functions, indicate whether the function has a well-defined inverse. If…

A: The given function is f:ℝ→ℝ, fx=2x+3 We have to find the inverse function.

Q: Determine the convergence or divergence of the series and identify the test used. Σ η = 1 1 3-2

A: The given series is  convergent .Solution is given below.

Q: 1 =(x) dx = =(x)dx = | 2 3 4 5 6 00 7 8 q

A: Topic:- application of integration

Q: Find the form of the guess of the particular solution. y"-7y'+12y=3t^2e^4t - te^3t sin(t)

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Q: 5. Find the value of the instantaneous rate of change for each of the following functions.  (6 marks…

A: 5) a) Given:    gx=x2+7x , x=2 Rate of change of g at x=2 is given by g'2      g'x=ddxx2+7x…

Q: Fill in the missing values to make the equations true. (a) log, 3 + log, 8 = log, 5 (b) log₂ 5 -…

A: Given Equations:- log53+log58=log5 log25-log2=log257 log325=log35

Q: Use the linear approximation of f(x, y) = e²x²+2y at (0, 0)

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Q: 2. xsecxtanxdx

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Q: f sec³3xcos3xdx

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Q: Find the nth Taylor polynomial for the function, centered at c. f(x) = In(x), n = 4, P4(x) = c = 7

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Q: Find the indefinite integral. (Use C for the constant of integration.)     8x(4x2 + 3)6 dx

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Q: 6. Set up and evaluate a triple integral in cylindrical coordinates that will yield the volume of…

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Q: Find the slope passing through the two given points. 1.) (-4,-3) and (-7,-7)

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Q: 1 Σ √n Inn 71 2

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. h x = 3 + 2y², 1…

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Q: year-end bonus of $25,000 will generate how much money at the beginning of each month for the next…

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Q: 5 (z-1)(x+4) (shape +

A: NOTE: Refresh your page if you can't see any equations. . use the partial fraction…

Q: Find the average value of the function y = 35 - 2x on the interval [0, 4]. O 31 10 O 20 O None of…

A: The Answers are given below

Q: (2-1)(x-2) (shape a++)

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Q: suppose San and Σο are series with positive terms and bn is known to be divergent. n (a) If an> bn…

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Q: In problems use the building block x", x < 1, together with the result - I for adding power series…

A: Let's find power series of given function.