Given a vector a = [1, -0.2, 3.5], what is the result of using Sigmoid activation function on this vector?

Q: dt 7. For x > 0 define L(x) = ft. Show that L(xy) = L(x) + L(y). Show that L'(x) = 1/x. Show that L…

A: Given that, Lx=∫1xdtt for x>0. We have to show that Lxy=Lx+Ly and also find L'x.

Q: Let A be an m × n matrix with columns C₁, C₂, ..., C₁. If rank A = n, show that {A¹c₁, A¹ C₂, ...,…

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Q: y"-y=ex О 2-y= xe2x

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Q: For some tasks, a logistic curve is used to model proficiency. In what follows, suppose that the…

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Q: Σlogp p<x X = x logx + O(x).

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Q: >=0. Find √√x² + y² + 1 dx dy, where R is defined by x² + y² = 0 and y R

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Q: You deposit $5000 each year into an account earning 7% interest compounded annually. How much will…

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Q: Let y(t) satisfy the following 2nd order ordinary differential equation: 5y" - 2y+3y=-1, with…

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Q: Solve ∆ABC. Round to one decimal place where necessary. A = 78º, b = 2, c = 4

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Q: 25. ƒ(x+0.0001), ƒ(x) 0.0001 function f(x) = 2x² - 5x at x = -2. Give the answer to the nearest…

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Q: An environmentally conscious and influential politician in California is calling for the power…

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Q: Find the graph given the following table. f'(x) 0 X a b с 0 1 Choose the correct graph below. O A.…

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Q: Consider the function f(x) = x²e¹³ f(x) has two inflection points at x = C and x = D with C < D…

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Q: 2. Related Rates A cylindrical water tank has a height of 20 ft and a radius of 6 ft. (see diagram).…

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Q: Evaluate the iterated triple integral using cylindrical coordinates 4-r²-y² √3 √4-1² 4-x²-y² fer: dz…

A: As we have to use cylindrical  coordinate system . So we need to convert cartesian into cylindrical…

Q: Evaluate the iterated triple integral using cylindrical coordinates [ 1-x² √1-x² Y TV³ TV² √3 √3 d…

A: We need to convert given integral into cylindrical system  So we need to  use relation between…

Q: (b) By Parseval's formula ΣΙΑ*(v)||2 = ΣΣΚΑ*(vi), v;}/2 = ΣΣΚυ;, A(v;)}2 = ΣΙΑ(v;)||2 < 0. ji…

A: To Explain: The mentioned part of the proof:

Q: 1. If we visualize the region having "top" and "bottom" boundaries, express each as functions of and…

A: Visualizing the region having "top" and "bottom" boundaries:

Q: Solve the 2nd-order linear non-homogeneous DE, y" + 36y=9e-9t subject to the initial conditions y…

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Q: The temperature at a point (x, y, z) is given by T(x, y, z) = 300e-x² - 3y² - 72² where T is…

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Q: Q. Show that v (r.m) R², r≥m ⇒ √1+² ≤1+2m| + x.

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Q: Set up (do not evaluate) the iterated triple integrals in spherical coordinates that gives the mass…

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Q: A heptagon has perimeter 121 feet. Four of the sides are the same length, and the remaining sides…

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Q: 3. Below is the graph of y=f(x), which is the derivative for some function J. Using the graph of the…

A: a) Since x= 1 is a point of inflection (since f(x) changes concavity at this point), first…

Q: 4. Given a propositional logic sentence: E: (P and (Q or R)) or (if (P and (Q or R)) then (P and Q))…

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

Q: 4.51. (a) Prove that fe(y² cosx-2e) dx + (2y sin.x - 2xe") dy = 0 around any simple closed curve C.…

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Q: y" -n²y = e

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Q: Find f(t). f(t) = || *}{{ e-s s(s+ 1) + )u(t-1

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Q: Let A = 123 456 Which of the following is TRUE

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Q: d. 4cos²(x) = 1 e. sin(2x) = cos(x)

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Q: A rectangular storage container with an open top is to have a volume of 10m³. The length of it's…

A: Let us solve the given problems in the next steps.

Q: 3. (NS-1) Use variation of parameters to find the general solution to the following system: dx dt dy…

A: The given system of differential equation is  dxdt=3x+y+3etdydt=x+3y-8 To solve it using variation…

Q: 1. Determine which of the following functions, if any, are solutions of the differential equation y"…

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Q: Solve the following system of equations: x= 1 (mod2), x= 2 (mod3), = 3 (mod 5), x = 4 (mod 11).

A: Given system of equations x = 1 (mod 2) x = 2 (mod 3) x = 3 (mod 5) x = 4 (mod 11) We solve this…

Q: = f'(xo)- f(5) (xo) + O(hᵒ). h4 480 expression for D(2) which is the second order nition of Dh and…

A: Ussualy richardson's extrapolation process is used to improve the order of the formula which…

Q: 7. Write the 4th order ordinary differential equation as a matrix system of first order ordinary…

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Q: In this discussion, we'll look at the idea of independence and conditional probability in more…

A: Given  sample contains 100 students.   Light Hair Dark Hair Light Eyes 25 10 Dark Eyes  15 50…

Q: Graph A XYZ with vertices X(2, 4), Y(6, 0), and Z(7, 2) and its image after the composition. 22)…

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Q: a. b. form. (write the answers here and on paper including work) (3, -3) Show work, include…

A: Given cartesian coordinates are: a. 3, -3 b. 0, -2 We have to convert the given cartesian…

Q: Suppose A is a 5x5 singular matrix. What is the value of det (2A) ?

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Q: Find the area under the graph of f(x)=1+x^2 and from x=-1 to x=2 a) Use 3 rectangles and right…

A: All the parts have been done.

Q: Tunct If X-b(n, p), find the mean and variance for the random variable X n

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Q: olve the DE shown below using the Method of Variation of Param y" + 4y = mcsc42x

A: We have differential equation y''+4y=2csc42x Method of variation of parameters: yp=u1y1+u2y2 where…

Q: Part I. Questions for Logic and Axiomatic Systems Set of Rules for a Spelling Bee S1. The spellers…

A: Only Part I is answered. 1. The objective is to identify the simple and compound statements. Only…

Q: The QR decomposition of A = a) 10, 6, 8 b) 3, 4, 5 c) 6, 10, 8 d) 5, 3, 4 60 8 10 is 1 P[r q-r P 1"…

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Q: Using the Method of Undetermined Coefficients, determine the form of a particular solution for the…

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Q: is a bounded sequence in H and since A is a compact operator, there is a subsequence (Yn₁) such that…

A: We need to explain this portion of the proof:

Q: Use the PBH test to prove or disapprove that, for any a E R, the controllability of (A, B) implies…

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Q: perform the indicated operation in trigonometric form. Write the solution in standard form. Round…

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Q: You want to tip 15% on a $64.40 tab, how much will you end up spending?

A: Use the percentage formula to solve.  x% of y = (x × y )/100