4. The hypotenuse of a right triangle as a function of the base, if the altitude is given. 5. The current I from a battery as a function of the external resistance R, the electromotive force E and internal resistance r being constant. (Current is equal to electromotive force divided by the sum of the two resistances).

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Q: 什 5-=-* consider

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Q: Solve the following homogeneous system of linear equations: 2x1+8x2+4x3 = 0 -X1-4x₂+x3 = 0…

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Q: Question 1. Consider the following LP problem: min ACR s.t 2= 2x₁ +5x₂ 2 5, 9, -4, 0. A VIII -2x₁ +…

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Q: 1. Build a truth table for the statement (PQ) -P, and give a shorter statement logically equivalent…

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Q: 2.Proof that any tangent plane for the surface F(- point = 0 passses through a fixed

A: Given below clear explanation

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Q: Equivalent Descriptions of Interior of an Angle. In possible definitions of the interior of an…

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Q: Prove that A → B = (Vx)A B- (Vx)A → (Vy)B, if y is not free in B.

A: To prove that A→B ↦∀x∀A→∀yB, if y is not free in B.

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Q: Determine the roots of f(x) = -1 - 12x + 18x² 2.75x a. Graphically b. Using Bisection Method c.…

A: Given function is fx = -12 - 12x +18x2 -2.75 x3

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A: Given that  Px=20x4−7x3 be the Lagrange interpolation polynomial that approximate a function f over…

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A: Here we will use chain rule of partial derivative  If w is a function of x,y,z and x,y,z all are…

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Q: Let the universe of discourse be U = {1,2,3,4,5,6,7,8,9,10). And let A = {1,3,7), B = {2,4,5,7}, and…

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Q: Find the standard form of the equation of a circle given the following conditions. 11. Radius is √5…

A: To find the equation of the circle passing through A:= (-4,2) and B:= (-3,-1) having a radius, r= 5.

Q: The Z-transform of the following function f[k] = 2 + (-5)* - 33 (-4)* is 42 so the constants A and B…

A: Here the given function is f[k]=942.2k+517.-5k336-4k We will find Z-transform of the this function…

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Q: Use the midpoint rule when n=4 to estimate in m2 of a pool with measurements ;   3.1, 3.6, 3.4,…

A: Given: The measurements of the pool are: 3.1, 3.6, 3.4, 2.8, 2.5, 2.4, 2.4  To find: The area of the…

Q: Evaluate the following without performing matrix multiplication: 100 100 1 -3 0 0 10 0 14 0 1 0 0 2…

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Q: Problem 7: Prolate spheroidal coordinates {0 ≤n<∞,0 ≤ 0 ≤ π,0 ≤ 0 < 27} are described by the metric…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Determine the roots of f(x) = -12- 12x + 18x²-2.75x³ a. Graphically b. Using Bisection Method c.…

A: (a) We run the following code in MATLAB to create the plot. From the plot we see that approximately,…

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Q: For which values of the parameter a does the following linear system have (i) a unique solution,…

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Q: 5x-1 > 5x-3 or 3x+6 > -1+10x

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Q: A) Solve the IVP: (3x − 4) + y = x ln 5x, y(3) = 3. - dy dx B) Discuss in detail the long term…

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

Q: Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3,…

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Q: 1. (Due September 1) We say that a function f(x) is scale-shift-invariant if for every λ>0, there…

A: What is Scale-Shift Invariant: A scale shift invariant function is such a function if it is shifted…

Q: 5 Prove that : tan z = 올n(부를) In NUNC

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Q: The Z-transform of the following function f[k] = 2.2k +$.(-5)* - 3 (-4)* 33 is 42 so the constants A…

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Q: Which of the following sets are equal (select all that are equal)? {1,9,0,10,4,57,42} a. b. c. d.…

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Q: I. For each DE, identify the type, give the order, degree and determine whether linear or nonlinear.…

A: 5. The given differential equation is ∂3ω∂z3-z∂2ω∂x∂y+2ytanω=0.

Q: -0-0 and 2- For the two vectors: U- cijkuivjek find the result of the expression:

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Q: Let C be the curve y = 4√√x for 2.1 ≤ x ≤ 4.8. 8 7 5 4 3 2 1 2 3 4 Find the surface area of…

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Q: EX: Find all residues of f(z) = Sol: there are f(z)= 50 Z 11 11 (Z+4) (Z-1)² 50 Z 32²² +42-7JZ=-4…

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Q: Prove the identity; verl 2n 2n 2n (264+1)=(2²+1) + 2(2²)+(2²1) n sen of eliges lls ew zeitluciflib…

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Q: Let A be a 3x3 matrix, and let u₁ and u₂ be the first two columns of A. Assume that u₁ and u₂ are…

A: Here, u1 and u2 are the first two columns of the matrix A and they are not parallel.  That implies…

Q: 5. x = A sin (at + B); w a parameter, not to be eliminated.

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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Q: 1. Triangle inequality for inner products: For all a, b, c € V, (a, c) ≤ (a, b) + (b, c). = 0 and…

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Q: Prove and illustrate by an example. V(fg) =fVg+gVf

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Q: Exercise 2. Solve the optimal control problem: Answer: (10 (23 (1)-1(1) 1(1) 0 max -u(t))dt s.t.…

A: Given: The optimal control problem is maxut∫012yt-utdt. The given problem is subjected to…

Q: Which of the following sets are equal (select all that are equal)? a. {x € Nx² > 0} b. N c. {x € Zx²…

A: To identify which of the give sets are equal.

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Q: G #2 Find the minded parmamial H ne legenvecters basis L 2 fie geneanzen

A: Given : A=-311-622-311 To Find : Minimal polynomial

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Q: Z(A+BZ²) The Z-transform of the following function f[k] = 2.2k + .(-5)* − 3 (-4)* i (Z-2)(Z+4)(Z+5)…

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Q: 5. Solve x³x+15= 0 (mod 63). (Don't just list solutions! Consider modulo 7 and 9 then use the…

A: As given in the hint we use the Chinese Remainder Theorem to solve this question. The details…

Q: A a Show that the pattern above can be cleared in 11 steps. b Explain why it is impossible to clear…

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