Assume a spring is oscillating and the length of the spring can be described as sin (t) L (t)=- What is the formula for the instantaneous rate of change of L(t)?

Q: Let E denote the region bounded by the plane 2x + y+ z= 2 and the first octant. Let g(x, y, z) be a…

A: To find the limit of integration of the below integral. ∫∫E∫gx,y,zdV=∫∫∫gx,y,zdzdydx The region E is…

Q: Find dy/dx by implicit differentiation. y sin( x) = -x sin

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Q: Suppose that X has a discrete uniform distribution {' 1/3, x= 1,2,3 f (x) = 0, otherwise A random…

A: Consider, μ=∑Xf(x)  =1*13+2*13+3*13  =2 σ2=∑X2f(x)-μ2  =12*13+22*13+32*13-4  =143-4 =23

Q: For the distribution shown, which letter represents the mode? (This is a reading assessment…

A: We know This graph consist 2 axis( x and y) Three measures ( mean, median, mode) X- axis represent…

Q: Find a simple, closed form for the generating function of the sequence defined by an = n².

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Q: The frequency distribution was obtained using a class width of 0.5 for data on cigarette tax rates.…

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Q: Solve the second-order equation y" + 2y' – 3y = 9x with initial condition y(0) = 0, y' (0) = 0.

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Q: Prove that the number of partitions of n into at most k parts is equal to that of partitions of n +…

A: given , number of partitions of n into k parts  we have to prove that , partitions of number n + k…

Q: How do you solve this?

A: Given the differential equation is,

Q: REMEMBER -- when all you have is a table of values, do the best you can to ESTIMATE the tangent…

A: Given:  Aim:  Basic information:  Using central difference metthodf'xn = fxn+1-fxn-12xn-xn-1

Q: Fill in the blank so that the following equation is true: æ dzdyda = 4

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Q: Fill in the blanks so that the equation will have infinite solutions. 1. -2x- 1

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Q: The following data represent the amount of time (in minutes) a random sample of eight students took…

A: We have given data x 67.5 80.8 89.9 104.5 128.4 94.4 94.7 125.8 ∑x =786

Q: Mr. Zuro finds the mean height of all 16 students in his statistics class to be 66.0 inches. Just as…

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Q: A cereal company puts a Star Wars toy watch in each of its boxes as a sales promotion. Twenty…

A: Given, a cereal company puts a Star Wars toy watch in each of its boxes as a sales promotion. Twenty…

Q: The following data represent the amount of time (in minutes) a random sample of eight students took…

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Q: How do you solve this?

A: Given function is y=h(t)

Q: Let A, BCR be two non-empty bounded sets. Assume that for every x E A, there exists y E B such that…

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Q: Solve the initial value problem (x² + 4)- dy + 3xy = x, y(0) = 1. dx

A: Given the differential equation,  (x2+4)dydx+ 3xy = x , y(0) = 1 (x2+4)dydx+ 3xy=x(x2+4)dydx=x -…

Q: 2) 18.49 19.9 4) 4.63 4.3 6) 10.35 10.35 8) 25.6 25.9

A: (2) 18.49 = 1849/100        19.9 = 1990/100        Since, 1849 < 1990                  =>…

Q: How do you solve this?

A: Sum of the three angles of a triangle = pi Two of them are B=2pi/11 and C=4pi/11To find A we…

Q: 1 2 -2 1 A = [4 8 -8 4: Describe all solutions of Aa = 0. Express your answer as a linear…

A: Given: A=12-2148-84 To Describe: Describe all solutions of Ax→=0→.Express your answer as a linear…

Q: The accompanying data represent the weights (in grams) of a simple random sample of 50 candies.…

A: Given Information: i) The data includes the weights (in grams) of a random sample of 50 candies. ii)…