A balloon ascending at the rate of 12 ft/sec is at a height 80 ft above the ground when a package is dropped. How long does it take the package to reach the ground?

Q: Explain why the function has at least one zero in the given interval. C f(x) = x² - 4 - cos(x) [0,…

A: Please find attachment below. Where I explain all these things.

Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9800. What…

A: Solution :-

Q: Use the tables to find the z transforms of the following d. e³n e. cos 3h f. sin4n

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Q: Compare and contrast reflections over the x-axis and y-axis. Generalize your observations

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Solve the differential equation y + (tanx) y=cosx ? Ay=xsinx+Csinx By=xsinx+Ccos.x Ⓒy=sinx+Ccos.x D…

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Q: (a) To buy a Treasury bill (T-bill) that matures to $10,000 in 6 months, you must pay $9800. What…

A:

Q: Suppose that f: R → R is a function such that f(x+y) = f(x) + f(y) for every x, y E R. Prove that f…

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Q: If w and a² are the nonreal cube roots of unity and [1/(a + c)] + [1/(b + a)] + [1/(c + a)] = 2w²…

A: We have given that, ω and ω2 are the nonreal cube roots of unity. Also, 1a+ω+1b+ω+1c+ω=2ω2…

Q: Por ve exfloo) =1 if: er f= 3 =²² st Set

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Q: A curved wedge is cut from a cylinder of radius 3 by two planes. One plane is perpendicu- lar to the…

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Q: 3. Solve the Differential Equation: (Eliminate natural logarithm in your final answer) y' = y(y + 2)

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Q: 2. Use the tables to find the inverse z transforms of the following e. 2z 2z-1 f. 3z 3z +1 g. Z N

A: Solving the given equations for inverse Z transform using given table

Q: A. Solve the given problems: Show your solution. 1. Use Richardson Extrapolation to estimate the…

A: Given That : y=cosx  step sizes h=π3,h=π6 To find : Use Richard Extrapolation to calculate the first…

Q: For any integer n ≥ 1, C(6n, 3n) C(6n, 3n-1). O True O False

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Q: Problem 3. Integrate by parts to prove: [ 1 Dup de ≤ c ( √ lu² dx) * (√, 1D²ul² de) ³ for 2 < p ≤ ∞…

A: Hint:   Using Garliardo-Nirenberg - Sobolev Inequality Let 1≤ p&lt;n .  ∋   C = C(n,p) such that…

Q: Prove t B(x+1; y ) + B (x,y+1)=B (X,Y) let M (x+1)= X(X)

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Q: Question 21 Which differential equation follows the form y'+p(x)y=q(x) ? A B dy 4+y=6x dx dy dx…

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Q: 2. x₁ + x₂ = x3 2x4+x5 2x₁ + 3x₂x3 = 7x4 + 4x5 2x₁ + 4x₂ 10x4 + 6x5 - = 0 = 0 = 0 3. Let ƒ (X) = X²…

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Q: Determine which of the following expressions makes no sense, and state why. Simplify the rest. бij…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: SSF. = SSST. F Angr the boundary of the cylinder x² + y2 = 4, and includes Find the outward flux of…

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Q: QI complet the table: X f(x) O LOWE 0.5 1 2.71828 Lix) (x-xo) (x-x2) (X1-X 0) (X₁-Y2) L₂(x) =…

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Q: (b) 21-1 lim x³ + x² + x + 1 = 4.

A: Given : b limx→1 x3+x2+x+1 To Prove : limx→1 x3+x2+x+1=4

Q: Sketch the complete graph with number of vertex 6.

A: Complete graph: A simple and undirected graph is said to be a complete graph if every pair of…

Q: Solve the given differential equation by finding, as in Example 4 of Section 2.4, an appropriate…

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Q: /Solve the following system by using Gauss-Seidel method when the initial value is X(0) = 0, & = 5 x…

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Q: Prove that: B (x+1; y ) + B (x,y+1)=B (X,Y) let П (х+1) =ХГ (X)

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Q: = A= putting A = (-1). 5 -2 -5 1 a= 3, 5 -2 -5 1 a b C d 3 5 7 d b= 5, C= 7, d=l -2 7 1 2 12 -3 d 1…

A: We need to determine the steps to transform the matrix: 53-21 -251-2 -57-39 1114 into the matrix:…

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

A: The given problem is to find the area of the segment cut off from the curve y=sin(x) ,0&lt;x&lt;π…

Q: 1. Use the tables to find the z transforms of the following a. 6 b. 2 C. e 2n

A: a. since Z[1]=zz-1 now Z[6]= 6 Z[1]=6zz-1

Q: Twins graduate from college together and start their careers. Twin 1 invests $2500 at the end of…

A: Given that Twins graduate from college together and start their careers. Twin 1 invests $2500 at the…

Q: (a) Find the point at y = x³ + x, if the slope is equal to 4. Then find the equation of tangent…

A: Slope is derivative of y with respect to x. And equation of tangent is (y-y1) =m(x-x1).

Q: 4. An automobile company uses three types of Steel S₁, S₂ and S3 for providing three different types…

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Q: Provide Solution of the Equation by appliying Wronskians of Solutions theorem?

A: Given vectors are x1t=2et2etetx2t=2e3t0-e3tx3t=2e5t-2e5te5t Now, we find the wronskian.

Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

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Q: 2. if √o = √T = 1 and √4 = 2 estimate √3 to by constructing Lagrange polynomial, then compare with…

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Q: y = c sinx

A: It is known that ddxsinx=cosx and ddxcosx=sinx. We need to eliminate the arbitrary constant: c from…

Q: answer ixed point method, which of the the correct alas. Стоого -Хи 3 cau use toget the equuntion…

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Q: Evaluate by Beat function: and 1 = S dx 1+X9 Hint : Bix,y) =]. ans: 4 X-1 (1+tjx+y Sin Ta dt

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Q: Question 7 What is the auxiliary equation associated with the differential equation y'"- 3y + 4y=0?

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Q: 1. Use the tables to find the z transforms of the following j. 2n k. (-3) 1. sin(nπ/2)

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Q: (a) find the following limits if exist:- limx→0 √x+9-3 X

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Q: Question 14 If a, b>0 the second degree polynomial P₂(x) =4+ 6(x− a) + (x− b) (x − 2) is determined…

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Q: Use the data given below to estimate f(3) by X 1 4 f(x) 2 5 62 Constructing: a. Linear polynomial b.…

A: The regression technique uses a data set to determine an equation such that the equation fits the…

Q: Q2/Solve the following equation from t=0 to 1 with step size is 0.5 using Euler's Method. dy dx = y…

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Q: 2. if √o = √₁ = 1 and √4 = 2 estimate √3 Compare by constructing Lagrange polynomial, then with the…

A: Given: 2. 0=0, 1=1, and 4=2 To estimate: The value of 3 by constructing Lagrange polynomial.

Q: Q Write the vector shown below as a combination of vectors and shown above

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Q: 6. Let f(x)=√14-2. Answer the following: a) f(5)= c) f(13) = b) f(-2) = d) f(18)=

A: Note: “Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: 1. Solve for x in the following equation. 2*+4 + 2* = 136 a. x = 0.5 b. x = 1 c. x = 2 d. x = 3 2.…

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Q: This problem deals with a mass m, initially at rest at the origin, that receives an impulse p at…

A: Here we have given that a mass m, initially at rest at the origin, that receives an impulse p at…

Q: (b) For the two cases below, circle the case where the length of the cross product between the…

A: The length or the magnitude of the cross product of two vectors: p→, q→ is calculated using the…