Find the length of the hypotenuse of the triangle pictured below. Enter the exact value as a square root. Do not round. 10 6

Q: 50, dex(+) = -25 (+ + 2) + 25 (1-0) + 15 (t-1) at 2 = -√(x + 2) + 251f) + 5lt-2) By using…

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Q: Find the radius of convergence, R, of the series. xn R = 8 Σ n = 1 I = 1.3.5.... (2n-1) Find the…

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Q: Use divergence theorem to find the volume of quadric surface z² + 3y + 4x² = 3 with the solid region…

A: Given F→=xzi^+3yzj^+x2k^. We have to find the volume of quadric surface z2+3y+4x2=3 with the solid…

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A: As per the question we have to use the solution of the given second order differential equation to…

Q: Find the radius of convergence, R, of the series. (x - 10)" n R = 10 ∞ n = 1 I = Find the interval,…

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Q: Determine whether the following series converges. Justify your answer. 9 Σ (COST-COS 15) k+4 k+5 k=1…

A: Introduction: A telescoping series is one that reduces to a predetermined number of terms when its…

Q: Embassy Motorcycles (EM) manufactures two lightweight motorcycles designed for easy handling and…

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Q: Now, 2 x (+) dt 2 50, d2x(+) dt 2 -1 d2x(1) dt 2 is +2 J2x(+) ct 2 + 1 +2 = -15(++ 2) + 25 (1-0) +…

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Q: Use a Maclaurin series to approximate f(x)=sin x on the interval never greater than 0.0001. so that…

A: Given function is f(x)=sinx Given interval is -π16,π16 or x≤π16 error≤0.0001

Q: 5 1 i) (x + ।४ ii) (a-4b)7

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Q: JA ITI system is described by the D.E. y +6 Y+8y=2X(+) find h(t), then find y(t) if X(t) = te²t tro-

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Q: solve the follwing Euler's differential equation x2y''-7xy'+16y=0

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Q: R→T T :. P ¬Q) → (RAS) 1 2 3 4 5 7 8 9 STATEMENT R→ T (¬PV ¬Q) → (RAS) ¬RV¬S ¬¬PV¬Q) REASON…

A: I shall solve in details in next step

Q: Solve the following initial value problem using a time step or step size of t = 0.05 sec, where y(0)…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Three adults and five children are seated randomly in a row. In how many ways can this be done if…

A: Option(1) is correct

Q: Theorem: If P is the transition matrix from a basis B' to a basis B, then P is invertible and the…

A: By the given theorem we have, B'| B→In | P-1. Given B=1,0,1,-1 and B'=1,1, 1,-1. So B' |…

Q: A child psychologist is interested in the number of times, x, a newborn baby's crying wakes its…

A: We are given that PX≤1 or X=5=1450 So, P0+P1+P5=1450250+a+b=1450a+b=1250

Q: 10. Compute (5, 7) · (2, 13) in the direct product group Z8 x 220. groun 1700 +1

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Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

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Q: Consider the region bounded by y = ln x, y = 0, and x = e. (a) Find the area of the region.

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: You flipped a loaded coin four times. The coin is loaded such that a head is twice like to appear as…

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Q: x= x² + 3y - 3x + xy and y = xy + x.

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Q: 9. If (X, M, ) is a measure space and E, FEM, then μ(E)+μ(F) = μ(EUF)+ μ(EnF).

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Q: y" +9y=0. y(0) = 1, y'(0) = 3

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Q: 6. Let f.g: RR be continuous functions and define S = {r ER: f(r) - g(x) = Z}, where Z stands for…

A: It is given that,  f, g : ℝ → ℝ  are the continuous functions. And,   S = x∈ℝ : f(x)-g(x) ∈ ℤ. Let…

Q: 7. Prove that a permutation in S. n ≥ 2, cannot be both even and odd.

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Q: Find the Inverse Laplace of F(s) = = s+3 (s—2)³

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Q: X y S

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Q: Find the least square polynomial approximation of degree two to the data. 1 -1 a= Let y = a + bx +…

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Q: Given

A: We solve by Gaussian Elimination method.

Q: Find the exact value of the following double integrals: a. S² S/² √ysin(y) dydx Ꮭ Hint: Switch order…

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Q: Use the method of Lagrange multipliers to find the absolute minimum and the absolute maximum of the…

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Q: Find the equation of the tangent line to the common curve of the two surfaces with equations z = x²…

A: Please check step 2 for solution.!

Q: 8. If (X, M, ) is a measure space and {E₁} CM, then (lim inf E₁) lim inf μ(E). Also, μ(lim sup E₁) ≥…

A: Given that if X, Μ, μ  is a measure space and Ej1∞⊂M .

Q: If Ū is a unit vector and Di f(x, y) = 0 for all points (x, y) then f is a constant function..

A: We have to determine whether the following statement is true or false : If U→ is a unit vector  and…

Q: How much will a U.S. Treasury bill (T-bill) be worth after 4 months if it was bought for $4,000 and…

A: To calculate the total amount, use the following simple interest formulae. Interest, I=Pnr100Total…

Q: Graph the break even points: Cost Function = C(x)=1800+500x Revenue function = R(x)= 500-0.04x

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Q: Compre multiplicity of wood to = 3 for- fox) = x²³²-52²³² + 380+ 9 what oder will Newton's method.…

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: We will use the definition of function to find the interval in which inverse is a function. y=f(x)…

Q: The half-life of Palladium-100 is 4 days. After 20 days a sample of Palladium- 100 has been reduced…

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Q: 50, dex(+) = -25 (+ + 2) + 25 (1-0) + 15 (t-1) at 2 d2 x (1) dt 2 = -√(x + 2) + 251f) + 5lt-2) By…

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Q: Is the following questions below a NEVER TRUE, SOMETIMES TRUE, or ALWAYS TRUE. a.) The set of all…

A: The span of a set of vectors is the set of all linear combinations of the vectors.  A  set of…

Q: Is the following questions below a NEVER TRUE, SOMETIMES TRUE, or ALWAYS TRUE. a.) The n columns of…

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Q: b) The following function f(x) is periodic with period T = 27. Sketch the function over -47≤x≤ 47…

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Q: Z = PV [(PA¬Q) → R] ↔ (¬P V ¬Q)

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Q: A triangle has four sides or a straight line has 90o angle if and only if a bicycle has two wheels…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the radius of convergence, R, of the series. (x - 10)" ∞ Σ n = 1 R = 10 Find the interval, I,…

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Q: Pick two of the given functions and determine up to the 5th degree Taylor polynomial: a. g(x) = 2xe*…

A: To find the nth degree Taylor polynomial of a function f(x) at x=c, use the following formula.…

Q: A company makes wax candles in the shape of a cylinder. Each candle has a radius of 4 inches and a…

A: Note:- Volume of a cylinder of radius r and height h = π r2 h Given information Shape of candles =…

Q: For the curve x³ + y² + 2xy = 4x Find all the x-intercepts of the curve. Then for each x-intercept…

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