How does f(1/2) - f(1) =                  f(1/2) - f(0)

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Q: Find a root of f(x)=In(x²+1)-4 sin(x-1) with 10-3 accuracy.

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Q: Following question is from a linear algebra course, We consider a second basis of V, C = {1 + X, X +…

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Q: Calculate P(FIE), if P(E|F) = 0.1 P(E) = 0.92 P(F) = 0.19 Round your answer to five decimals.

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Q: Let f : R → R and ECR. Prove f is continuous iff f-¹(E) is closed whenever ECR is closed.

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Q: Given the state space representation. y=[11] a. b. X₁ 2019- -2 -3 2₂ then the transfer function of…

A: Given That :State space representation is as follows :To Find :The transfer function of the system.

Q: 2. a. Use the operational properties to find 8s-16 Find L¹ -4s +15]

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Q: Consider the following problem: Maximize -₁ subject to 2x₁ X1 X1, + + X2 x2 2x2 X2, + 2x3 + x3 + x4…

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Q: Find f(t). f(t) = 3s ~{28=13} s²(s + 1)³

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Q: List all possible rational zeros of: f(x) = 18x ¹ + 12x ³ + 56x² +48x − 64 3 List all possible…

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A: To show that , , and are concurrent, we can use Ceva's theorem. Ceva's theorem states that in a…

Q: Consider the curve C = {(x, y) = R² | y = 25 + ², - 12 ≤ x ≤ 12} in R2. Evaluate the line integral I…

A: Given curve C,Now,

Q: Let fcilien be a collection of path components of a topological space X then c; =X. it

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Q: 2. Let V₁ a. 14 -2' b. V₂ = " 16 10 spanned by B. Note that B is an orthogonal set. -49- 35 7 -28_…

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Q: EP 1) Let D be the unit disc (the region inside the unit circle). Let L and R be the right half of…

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Q: 1. Prove that (a) ▼ × (▼ƒ) = 0 for any C² function ƒ : U → R;

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Q: Draw the graph represented by the following adjacency matrix.

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Q: Using the midpoint basis, and expressing the answer in fraction or integer format, calculate the…

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Q: Find a basis of the subspace V = span of S by deleting linearly dependent vectors from the set. Your…

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Q: Find the area between the cubic xy² = a³ and the lines y = a and x = 0. arabola ² ” ។+ ''។ r-r-""-។…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: 2. The curve determined by the equation y2 = x²(x + 3) intersects itself, forming a loop. Find the…

A: 2. The curve determined by the equation  intersects itself, forming a loop.Find the area enclosed by…

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