For quality control purposes, a local toy company inspects two yo-yo’s out of every shipment containing 20 yo-yo’s. How many ways can a sample of two yo-yo’s be selected from each shipment?

Q: A rectangular cardboard box is made with a square base and an open top. The box has a volume of 864…

A: A rectangular cardboard box is made with a square base and an open top. The box has a volume of 864…

Q: Find the gradient vector field of f(x, y) = xºy³ < V

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Q: 126,852÷125

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Q: 2. A particle is moving on the x-axis with a velocity of v(t) = t² - 3t-18. For what values of t> 0…

A: Given velocity function v( t ) = t2 - 3t - 18 For finding the interval in which velocity is…

Q: 8 Σ (—1)k+1xk k

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Q: Let  f (x, y)  =  xy4 + 5x2y + 2x2 (a) Find  fx . (b) Find  fy .

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Q: hank you for your answer, which is what I got. When I put the answer in. It's telling me to use the…

A: Note that total profit can also be found by the information given, like see below

Q: Evaluate [xy² xy¹ ds where C is the right half of the circle x² + y² = 9

A: ∫Cxy4ds, where C is the right half of the circle x2+y2=9

Q: Let 7 (t) = Find 7' (t)

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Q: Fill in the missing values, translating from ek to a (the growth or decay factor). Round the answers…

A: a) 70000e-0.07t b) 125,000e-0.26t

Q: Find the limit. 6p lim p→∞ p² + 3p + 5

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Q: To find the distance across a small lake, a surveyor has taken the measurements shown. Find the…

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Q: Find the particular solution to the differential equation below that passes through the point…

A: To find the particular solution to the differential equation below that passes through the point -2,…

Q: Suppose that f(x, y) = ²/3 on the domain D = {(z,y) |0 ≤ y ≤ 1,0 ≤ z ≤y³}. D Then the double…

A: f(x, y) = e(x/y)       Where domain D = { (x,y) l 0 ≤ y ≤ 1 , 0 ≤  x ≤ y3 } Find the double intergal…

Q: Find the indefinite integral (for x > 0) on the domain of positive real numbers. Remember to include…

A: Given indefinite integral ∫( 3x - 87x )dxFormula used ∫xndx = xn+1n+1 + C

Q: Find the center of mass of the region bounded by y = 4 - x, x = 0, y = 0 with mass density 6(x, y) =…

A: The solution is shown in step-2

Q: Racetrack Design The accompanying figure depicts a racetrack with ends that are semicircular in…

A: The length of the track is 880 ft

Q: Let f(x) = 7x² and g(x) = x² + 7. Find the area of the region enclosed by f(x) and g(x). Answer:

A: Given curves, y1=f(x)=7x2y2=g(x)=x2+7

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. 2π 3 t = P(x,…

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Q: Find the point on the line 6x + y = 5 that is closest to the point (-4, 2). = (1 (x, y) =

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Q: Given the vector function r(t) = (2t, - 5t², t5 + 6) Find the velocity and acceleration vectors at t…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.

A: Alternate series test

Q: 11-20 (a) Find the intervals on which (b) Find the local maximum and minimum values of ƒ. (e) Find…

A: Given: fx=x4-2x2+3 To Find:  (a) To find the intervals on which f is increasing or decreasing. (b)…

Q: C) The region R is the base of a solid. For this solid, each cross section perpendicular to the…

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Q: Find f(x) and g(x) so that the function given can be described as y = f(g(x)). y = (x³ + 1)² [?] = […

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Q: (a) Find the intervals on which ƒ is increasing or decreasing. (b) Find the local maximum and…

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Q: Evaluate the integral. 3 2π π SS Sy si y sin zdxdydz 000 3 2π π SS SY ys sinzdxdydz = 000 (Type an…

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Q: Consider the definite integral: Determine the numerical values of A and B, where B≤ A and A = || 9x…

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Q: Convert the point (x, y, z) = (-2, 1, 0) to cylindrical coordinates. Give answers as pos values,…

A: given point is  :-x,y,z =-2,-1,0then we have to convert it  into  cylindrical  coordinates

Q: f" (x)= x(x-1)²(x + 2)³ g" (x) = x(x - 1)²(x + 2)³ + 1 h" (x) = x(x − 1)²(x + 2)³ - 1 The…

A: For any function R(x), At its inflection point, R''(x) = 0 Therefore, at the inflection points of…

Q: find the derivative y' of each of the following c)y=xsin^k(12x) where k is a positive integer

A: y=xsink12x

Q: The velocity of an object is shown in the graph below Velocity (m/s) 7 6- 5 1 2 3 4 5 Time (sec)…

A:

Q: A company selling widgets has found that the number of items sold a depends upon the price p at…

A: The rate of change of a function f(x) with respect to x is f'(x)

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y =…

A: Consider

Q: 1. State Rolle's Theorem and draw a picture to illustrate it. 2. Which part of Rolle's Theorem is…

A: Rolle's Theorem states that if a function f is continuous on the closed interval [a,b] and…

Q: Consider the following. f(x) = 7- 2²/12 Determine the value that the function f approaches as the…

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Q: find the domain of the function - identify any symmetries - find the first and second -identify any…

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Q: differentiable on  (-infinity, infinity) and that for each number x, |f'(x)|  <= to 1. Use the Mean…

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Q: Find the indefinite integral [7x (3-x¯6) dx. 7x x (3-x¯6) dx =

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Q: Please write the answer in exact values, not decimals!

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Q: Evaluate the line integral by applying Green's theorem. 2xy dx + (x + y) dy, where C is the boundary…

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Q: 1. Explain the difference between an absolute minimum and a relative minimum value.

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Q: Solve the following initial value problem. d²y 2 dx = 0, y'(0) = 8, y(0) = 3 ...

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Q: 2. Sketch a graph that possesses the characteristics listed. f'(-2) = 0 f"(-2) 0 f(1) = -1 f"(4) =…

A: The graph has the following properties, f'-2=0f''-2&lt;0f-2=4f'1=0f''1&gt;0f1=-1f''4=0f4=2 We have…

Q: Suppose X and Y are random variables with the given joint density function. S0.1e-(0.5x + 0.2y) if x…

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Q: Find the area of the region enclosed by f(x) and the​ x-axis for the given function over the…

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Q: Consider the indefinite integral: I= 8x³ +8x² + 20x + 20 dz. x² + 4x² The integrand has the…

A: Consider the integration. I=∫8x3+8x2+20x+20x4+4x2dx

Q: Find the terminal point P(x, y) on the unit circle determined by the given value of t. 5A t= P(x, y)…

A: Given that , t=5π6 Find the terminal point Px,y on the unit circle.

Q: The velocity (in m/s) of an object moving along a straight line is given by v(t) = 18 t Find the…

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Q: Find the limit. lim (x6 (+6 +x7) X→-80

A: