A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t seconds after launch is given by f(t)=−34t+284.   The height of the ball 6 seconds after launch is ??? feet.

Q: 9. In Legendre polynomials form, the basis of Chebyshev polynomials, T₂(x) = ... (a) (4L₂(x) -…

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Q: Calculate the area between the curves ² = 16 sin 20 and ²: = 16 cos 20 .Show by drawing

A: To find: Area bounded by two curves  r2=16cos2θ , r2=16sin2θ.

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Q: No calculator or Desmos] Sketch the planar curve given the following parametric equations x(t) =…

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Q: Q1) A: Find the value of K in the following linear system which is make the solution failure…

A: Sol

Q: 3- Classify Vectors Analyze the following algebraic vectors. (Time estimate: 10 mins) a = (5, 2, 17)…

A: a) Given vectors are a⇀=(5,2,17)b⇀=(3,2,3)c⇀=(9,2,45) First we find their scalar triple product.…

Q: QUESTION 1 Find the volume by using polar coordinates. The region bounded by the paraboloid 2x²y and…

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Q: Q1.B. if k-1 is an eigen value of 5 (₁2), find one corresponding eigen vector?

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Q: 1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is…

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Q: In problems 1 and 2, list both the order of the DE and state whether the DE is linear of nonlinear.…

A: Sol:- (1) tan2xy''+x2ey=2 Order = 2 (Since equation contains y'') Nonlinear

Q: Find the absolute maximum and minimum values of f(x, y) = 4(x - x²) sin(ny) on the rectangle 0 ≤ x…

A: As per the policy, we are solving first question. Please repost the question and specify which…

Q: 1. Let {V₁, V2, V3} CV be a linearly independent subset and let v4 € V. Which of the following is…

A: To find which of the following is correct for the given sets .

Q: Q3): Find the Laplace transform of (u²-u+e") du.

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Q: 4. The dimension of space of all 7-by-7 skew-symmetric real matrices has a dimension (a) 28 (b) 21…

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Q: 4. What is the z-transform of the signal x(n)-na"u(n)? (az)-1 (1-(az)-1)2 (a) az-1 (b) (1-(az)-1)2…

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Q: Find the maximum value of f(x, y, z) = y - z Subject to x + y + z = 1,x² + y² = 1 O - √5 + 1 O-√5-1…

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Q: Suppose z = x + iy and f(z) = z². Find a w = u + iv such that f(w) = i (A) u = √2, v=1/√2 (B) (C)…

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Q: Using Heun's Method, calculate y10 for the following: y xy² = 0, y (0) = 1, h = 0.1 The solution for…

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Q: Determine the intervals on which f(x) is positive and on which f(x) is negative. swer:…

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Q: If ATA-1, where A is a real matrix, then A is O normal O symmetric O hermitian Oorthogonal Onone h

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Q: 9. The value of ¹₁ O True False [Tn (x)]² dx = 0, for each Chebyshev polynomial T₁(x), n > 0.

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Q: Given that 2m-3-1-73 5 " then m =

A: according to our guidelines we can answer only three subparts, or first question and rest can be…

Q: The error will disappear when using f(x)=x* to find the Lagrange interpolating polynomial p(x) if n…

A: Sol

Q: Solve for

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Q: Find a polynomial that interpolates (-1,4) and (3,6), then find the value of f(x) at x=0 and x= 2.

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Q: Given 4.x² = 3y-4z 5 . Calculate the value ofx if y=x-1 and z = 2x.

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Q: Let A be the point with coordinates (1, 7, 5), let B be the point with coordinates (-1, 5, 1), let C…

A: We have to write down the first coordinate of P.

Q: 3. The Laplace transform of the f(t) = t²e-2 cos(3t) is 2(s+2)(s²+45-23) (s²+45+13)³ 2(s+2)(s²+23)…

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Q: QUESTION 5 Many patients get concerned when a test involves injection of a radioactive material. For…

A: Given

Q: Q3./ Solve the following simultaneous ODE, y₁ = -3y₁+ y2 y2 = Y₁ - 3y2 У1

A: The solution is given as

Q: solve the system of equations by Grammer Method. 3x₁ −2x₂ + 4x₂ = 19 x₁ + 5x₂ −x3 = -12 x₁ + 2x₂ +…

A: To obtain the solution of the system of linear equations by Cramer's rule, use the following…

Q: Given the initial-value problem: ý = 1 + (t-y)², 2 ≤ t ≤ 3, y(2) = 1, h = 0.5, K₂ for W₁ in…

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Q: x³-2x-3-0 1.4 rations)

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Q: B. Find a general solution of the following differential equation using Lapla y" - 4y + 4y =…

A: y''-4y'+4y=3sin(2t) where y(0)=1 & y'(0)=1

Q: For the initial-value problem: ý = sint+et, 0≤ t ≤ 1, y(0) = 0, N = 2, the step size (h) is…

A: Here we use the definition of step size . h=(b-a)/N

Q: D E 3. If mQNO= 238, what is the mzPQO? mzPQR?

A: 3. We know that a complete angle is 360 degree Therefore mQNO⏜+mOPQ⏜=360°…

Q: k=1 √k + 1 -, is √k4 +1 Diverge by limit comparison test Converge Geometric series Converge by limit…

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Q: 3. The matrix Q 2 2 2 2 --E8 383 = 3 1) ( (a) positive definite. (b) negative definite. (c) semi…

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Q: Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: A study was made on the amount of converted sugar in a certain process at various temperatures. The…

A: Given data is as follows Temperature, x Converted sugar, y 1.0 8.1 1.1 8.8 1.2 8.5 1.3…

Q: 6. A bin of golf tees has 7 different colors. You reach in and grab 100 tees. How many different…

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Q: a tank holding initially 100 L of a salt Consider solution begins to flow into the tank at a…

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Q: You must show all work! (You may check your answers using your graphing calculator.) = -[. 52 1 4 -2…

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Q: B: Find Laplace Transform of f(t)= cos3t By DEF.

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Q: Using Ralston's Method, calculate ys for the following: y xy² = 0, y (0) = 1, - h = 0.1

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Q: According to determinant properties, multiple of one row is added to another row then determinant O…

A: According to determinant properties: When we add multiple of one row to another row,it's determinant…

Q: Find the solution of the following initial value problem. y" + 11y' + 28y=0_y(0) = 9, y'(0) = −42…

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Q: Solve the following differential equations 3x y"-6y' +9y=e³x cos √√x+1

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Q: CLO1 - Q: Find all solutions of the equation 26+(2-2)² = -1 + $ CLO1 Q: Find the Principal value of…

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