Obtain the differential equation of the family of plane curves described: 1. Straight lines with algebraic sum of the intercepts fixed as k.

Q: 1 ~ [ { f(x) dx = Given 0 (a) [f -11 f(x) dx = 0 and (b) for 22 (c) 0 f(x) dx. f(x) dx 1 [³ 3f(x)…

A: Due to Bartleby guidelines, only 3 sub parts can be solved. Please repost the remaining questions to…

Q: 2) Evaluate 21 xy SS₁ XV y dy dx 1 +

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

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is and the cost…

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: 3 Consider the function ƒ(x) = 5x³ + 4zº – 10z³ An antiderivative of f(z) is F(x) = Aï” + Bx™ + Cr²…

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Q: Differentiate. y' = y = sec (0) tan(8)

A: y'=secθtanθ'     =secθ'tanθ+tanθ'secθ    =secθtanθtanθ+sec2θsecθ    =-secθ+2sec3θ

Q: Given the velocity v = ds and the initial position of a body moving along a coordinate line, find…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y=-x³/2,5≤x≤ 12…

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Q: Differentiate each function below. Be sure to use proper notation to distinguish between function…

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Q: Set up one (or more) triple integral that will give the volume of the tetrahedron with vertices…

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Q: 1. A trough is to be made following the dimensions given in the figure below. The lengths of the…

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Q: ot the points whose coordinates 2п 2, 3 a. C п b. (3.-4. 37). 4 S

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Q: State where the power series is centered. Σ n = 0 (-1)^(x-4)2n (2n)! Submit Answer

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Q: Find the absolute maximum and minimum values (show final answer as an exact value): f(x) = 2-sin r…

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Q: Solve the formula for r. 1 n=f+c+ = r

A: The given formula n=f+c+16r We have to find the formula for r.

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

A: Note:- as you required only answer not complete work so, as i am solved in this manner.

Q: Find the work done by F(x, y) = 3yî + 2xĵ in moving a particle along x = 2y2 from (2, 1) to (8, 2).

A: The solution to find work done by given force is as follow.

Q: he manager of a large apartment complex knows from experience that 110 units will be occupied if the…

A: NOTE: Refresh your page if you can't see any equations. . x=number of units y=price per unit from…

Q: increasing/decreasing

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Q: On a certain planet's moon, the acceleration due to gravity is 1.5 m/sec². If a rock is dropped into…

A: NOTE: Refresh your page if you can't see any equations. . here initial velocity is zero so take v0=0…

Q: Calculate the sum of the series Sn = 2-6(0.9) 00 Σan whose partial sums are given. n = 1

A: NOTE: Refresh your page if you can't see any equations. . for the series the partial sum is  .

Q: Find the derivative of the function at P in the direction of u. g(x,y)= x-y xy + 3' Po(2,-2),…

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Q: what is math

A: Definition of mathematics

Q: Convert (y) = 5 to an equation in polar coordinates. 7.12 Note: use "t" for

A: Given query is to find the equation of the polar coordinates.

Q: A manufacturer produces bolts of a fabric with a fixed width. The quantity q of this fabric…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  so we can…

Q: f(x) = x³ − 15x² +27x2. F

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Q: 4. Central conics with center at the origin and vertices on the coordinate axes.

A: NOTE: As per our guidelines, I have solved 4th problem. If you want solution of other, kindly post…

Q: Find the general lower and upper sums (in terms of n) of the area of the region ba g(y) = -8y over…

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Q: 33. Find the centroid of the region bounded by the curves: a) y = x³-x and y=x²-1. b) x+y=2, y = x³…

A: Given:      b) x+y=2, y=x3 and y=0

Q: A box is to be constructed from a piece of zinc 10 in. square by cutting equal squares from each…

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Q: Compute the radius of curvature a the curve x=2y^2-3y at (4,2). 97.15 O 6.63 O-97.15 O -6.63

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Q: Given function f(x) = ¹, X x = 0 (a) Find the slope of the curve y = = at X (b) Where does the slope…

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Q: (iii) lim x → 0 16+ x - √16 x

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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: Find the exact length of the curve. y² = 4(x + 1)³, 0≤x≤ 3, y> 0 Need Help? Master It

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Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a,b]. If Rolle's…

A: f(x) = cosπx       , [ 0,2 ] rolles theorm states that if f(x) is continuous in [ a,b }f(x) is…

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: A certain unit produced by the company can be sold for 200-0.02x pesos where x is the number of unit…

A: We need to find out the price  per unit that will maximize the revenue.

Q: 2. Solve the following equation. Round your answer to the nearest hundredth. Answer: ex – gex + 18 =…

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Q: bullet is fired into the air with an initial velocity of 1000 feet per second at an angle of 55°…

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Q: Find an equation of the tangent plane to the surface z = 2y² – 5x² at the point (2, 0, -20). Z

A: NOTE: Refresh your page if you can't see any equations. .

Q: -6x - 8y y² i+ 4z4 7x+y 2, −4, −1)? Enter an exact answer. et F(x, y, z) = rovide your answer below:…

A: To find the vector associated with (2,-4,-1)

Q: Find the linear approximation of f(x) L(x) = -7x = 9e at x = 0. Then use your linear approximation…

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

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Q: At what point (x, y) is the function f(x) = 8x - 5 closest to the origin? Enter an exact answer.…

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Q: Find the particular solution to the differential equation. 2xy = y² +1 when x = 1, y = 2 dx

A: Given that        2xy(dy/dx) = y2+1    when x=1, y=2

Q: 1. Chapter 14 Review 57: Find the minimum and maximum values of f(x, y) = x²y on the ellipse 4x²…

A: To find the minimum and maximum values of fx, y=x2y on the ellipse 4x2+9y2=36.

Q: When coughing, the windpipes contract to increase the velocity of air passing through the windpipe…

A: We need to find out the v'(r), value of r that maximizes the velocity of air and v(rmax).

Q: x^1/4 + y^1/4 = 2, What is y'' at (1,1)?

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Present Value of an Investment Diego deposited a certain sum of money in a bank 4 years ago. If the…

A: Ans= 9917.64 dollars  As per our company guidelines we are supposed to answer only first…