I. Eliminate the arbitrary constants. 4. xsiny + x²y = c 5. (x – a)2 + y2 = a? %3D

Q: Water is leaking out of an inverted conical tank at a rate of 7,000 cm³/min at the same time that wa...

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Q: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

A: Express the following rate as a fraction in lowest terms. For example, you would enter an answer of ...

Q: Find the fifth term and the nth term of the geometric sequence whose initial term a and common ratio...

A: topic - geometric progression

Q: 10. Vx – 1dx 15 32 32 b. 15 a. 32 d. none of the choices C.- 15

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Q: Maximizing Yield An apple orchard has an average yield of 36 bushels of apples per tree if tree dens...

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Q: A particle moves along the x-axis so that at time t 0 its velocity is given by v(t) = 3t2 – 60t. Det...

A: v(t)=3t2-60t,    t≥0the particle is moving to the right whenv(t)>03t2-60t>03t(t-20)>0

Q: Suppose that f(z, y) is a smooth function and that its partial derivatives have the values, f-(-8, -...

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Q: (x- 2. A tonk initially contoins 100 galons of brine whose concentration is ½ lb/gal. Brine whose sa...

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Q: Use the sum and difference identities to simplify the expression. sin(-75)

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Q: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing. The length is...

A: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing.The length is ...

Q: 3 A bicycle wheel rotates 400 times per minute. If the rider removes his feet from the pedals, the w...

A: The objective is to find how many times the wheel will rotate in the eighth minute.

Q: lim x² sin(x²) .2

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Q: Use the formula for S, to find the sum of the first five terms of the geometric sequence. 2 2 6, - 2...

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Q: A particle moves along the x-axis so that at time t 0 its position is given by a(t)= t° – t² - 5t. D...

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Q: For the function, find any horizontal and vertical asymptotes. (Enter your answers as a comma-separa...

A: Given query is to find horizontal and vertical asymptot.

Q: Question 213 + 412 - 6t-3 for t2 0, where t is 3 A particle travels along a horizontal line accordin...

A: Given:-s(t)=-2t33+4t2-6t-3   for  t≥0velocity, v(t)=ddt-2t33+4t2-6t-3 v(t)=-2t2+8t-6

Q: The table below gives selected values for the differentiable and decreasing function f and its deriv...

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Q: +oo 4 Determine if the series > converges or diverges. If it converges, find its sum. n² + 4n + 3 n=...

A: We will solve this question using limit of comparison test.

Q: 8. Find the longest and the shortest distances from (1, -2) to r? + 2y? = 1. 9. Try to solve problem...

A: Distance formula=Sqrt{(x-x1)^2 +(y-y1)^2} The Lagrange method of multipliers is  F(x,y)=f(x,y)+lamda...

Q: Find the intervals on which the graph of f is concave upward, the intervals on which the graph of f ...

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Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A: topic - application of derivatives

Q: EXERCISE Find the slope and the equation of the tangent line to the following functions at the given...

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Q: ia=-1 A. Determine whether or not f is continuous at a. 1. f(x) = 2x² – 10; a = -4 %3D 2. f(x) = Vx ...

A: As per our guideline we supposed to answer  only first three sub-parts  we check at given point func...

Q: Is the differential equation linear? y' = y + ey

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Q: 21 Solve the equation on the interval [0,27]. sin20 + sin0 = 0

A: Given query is to find the solution of the trigonometric expression.

Q: Find the volume of the pyramid with base in the plane z = -1 and sides formed by the three planes y ...

A: We need to evaluate volume.

Q: Solve the differential equation by using integrating factors. xy' = 3y − 8x2 y(x) =

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Q: 15. Find the surface area generated by revolving about the y-axis that part of the curve y = In x ly...

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Q: Use cylindrical coordinates. Find the volume of the solid that is enclosed by the cone z = x² + y² a...

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Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: Find vector V such that the vector has a length of 16 and makes an angle of n/3 with the x-axis.

A: Given problem:- Find vector V such that the vector has a length of 16 and makes an angle of π/3 with...

Q: You want to build a 1000 square foot rectangular infinity pool. Three of the sides will have regular...

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Q: IV. In each item, solve the constant of proportionality k, form the complete variation equation, and...

A: This question can be solved using the concept of constant of proportionality.

Q: Given that x2 -y² = 9, then dy/dx = %3D

A: Topic = Derivative

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2 y(x) =

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Q: Find the value of a so that the function f(x) = xe has a critical %3D point at x = =D3. NOTE: Enter ...

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Q: Calculate the arc length of y = - x² - In x over the interval [1, 8e]. %3D

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Q: (-1)"+l2nx" Determine the interval of convergence of2. n² +3 n=1

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Q: Q3/ Find a center of mass of a thin plate of density 8 = 3 bounded by the lines x = 0, y = x, and th...

A: Given region bounded by x=0 , y=x and parabola y=2-x2    in first quadrant

Q: show all working so it is easily understandable The number of women in the workforce, based on data...

A: Topic:- Geometry

Q: +00 1 Σ 4n² – 8n + 3 n=1

A: Convergence of series

Q: 25 Given the function f(x) = x°+ x° + x*, find all x-values where f has an inflection point.

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Q: tf(r.,2) 4ry t and u is the unit vector in the direction of (4, 2,-5), tmen the drectional denvative...

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Q: . Sketch the graph h(x) = x2 -x-12. Then, a.) Determine the line tangent to h(x) at x=c. What is it...

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Q: 8. Find the positive constant a(> 0) so that the parametric x = at, y = -t? is a solution to y = x()...

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Q: Give the equation of the horizontal asymptote, if any, of the function. h(x) = *+6 x2 - 64 no horizo...

A: We can find the equation of horizontal asymptotes as below

Q: [ a(x+y) - xty]dy = (x+xy²- 2y +3)d« when x-1, yal 3. %3D (9xy - 2y²) dx - ( 6x²_ xy) dy =0 4.

A: I have authority to answer one question only, if you want another question to be solved then upload ...

Q: 3. Find the constant a so that o(x) = re2 is a solution to y+ay- e =0. 0 4 O 3 0 1

A: ϕ(x)=xe2x is a solution to y'+ay-e2x=0

Q: A rectangular prism with dimensions 6 m × 4 m × 8 m (l×w ×h) is shrinking. (a)  Assume that the leng...

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Q: 2.) What is the maximum profit when the profit-versus-production function is as given below? P is pr...

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