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7
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- Correct answer will be upvoted else downvoted. Computer science. You are given three positive (more prominent than nothing) integers c, d and x. You need to track down the number of sets of positive integers (a,b) with the end goal that balance c⋅lcm(a,b)−d⋅gcd(a,b)=x holds. Where lcm(a,b) is the most un-normal various of an and b and gcd(a,b) is the best normal divisor of an and b. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Each experiment comprises of one line containing three integer c, d and x (1≤c,d,x≤107). Output For each experiment, print one integer — the number of sets (a,b) to such an extent that the above uniformity holds.Correct answer will be upvoted else downvoted. Computer science. in case there are two planes and a molecule is shot with rot age 3 (towards the right), the cycle is as per the following: (here, D(x) alludes to a solitary molecule with rot age x) the primary plane delivers a D(2) to the left and lets D(3) progress forward to the right; the subsequent plane delivers a D(2) to the left and lets D(3) progress forward to the right; the primary plane lets D(2) forge ahead to the left and creates a D(1) to the right; the subsequent plane lets D(1) progress forward to one side (D(1) can't create any duplicates). Altogether, the last multiset S of particles is {D(3),D(2),D(2),D(1)}. (See notes for visual clarification of this experiment.) Gaurang can't adapt up to the intricacy of the present circumstance when the number of planes is excessively huge. Help Gaurang find the size of the multiset S, given n and k. Since the size of the multiset can be extremely huge, you…Considering the function f(x) = x – cos(x), what is the value of x7 after performing fixed point iteration. Assume an initial guess of 1. Use the equation form that will seem fit according to the choices provided.Group of answer choices 0.72210 0.71537 0.76396 0.72236
- For the following problem we want to find a linear equation that passes through the following two points: (-5,8), (7,-9). The general equation for a line is: y = mx + b a Create two symbolic variables, m and b. Looking at the general equation above, we can subtract y from both sides to get the following expression: 0 = mx + b-y. Now that our equation is in this format, we can create two equations, eqn1 and eqn2 using the two (x,y) coordinates given above. Use the solve function to solve the system of equations. Call these solutions sol m and sol b. Plot the solution of the line that passes through the two points (create the line using sol m and sol b and define a new symbolic variable, x). Label the axes and give the plot a title. Change the line to a magenta dash-dotted line and limit both x and y axes from - 10 to 10Simplify the following Boolean functions. F(w, x, y, z) = xyz + xyz + !w!x!y!z + w!x!y!z + !w!xy!z + w!xy!z F(w, x, y, z) = *Please do not include "F(w, x, y, z) = " in your solution. Add a single space between variables and operators. answerSimplify the following Boolean expression F (A, B, C, D) = A?'? + ?'D + A?' + ABCD. Express the answer in simplified SOP. SHOW FULL SOLUTION.
- Question Harry has a big wall clock, that got hit while he was playing. Now, the minute hand doesn't rotate by the angle 2t/3600 each second, but now it moves according to different angle x. You can assume that coordinates of the centre of the clock are (0, 0) and the length of the minute hand is I. One endpoint of the minute hand is always located at the clock centre; the other endpoint is initially located at the point (0, 1). One second later, Harry observes that this endpoint is at distance d above the x-axis, i.e., the y-coordinate of this endpoint is equal to d. Harry is curious about where the minute hand will be (specifically, its y-coordinate) after t seconds. Because t can be very large, Harry can't wait for that moment. Please help him to write a python code that prints a single line containing the output. Input: 422 Output 44. Simplify the following Boolean function F, together with the don’t-care conditions d, and then express the simplified function in sum-of-minterms form: a. F(x,y,z) = Σ(0,1,4,5,6) d(x,y,z) = Σ(2,3,7) b. F(A,B,C,D) = Σ(0,6,8,13,14) d(A,B,C,D) = Σ(2,4,10)Simplify the following Boolean expression F (A, B, C, D) = A?'? + ?'D + A?' + ABCD. Express the answer in simplified POS. SHOW FULL SOLUTION.
- Correct answer will be upvoted else downvoted. Computer science. Polycarp recalled the 2020-th year, and he is content with the appearance of the new 2021-th year. To recall such a great second, Polycarp needs to address the number n as the amount of a specific number of 2020 and a specific number of 2021. For instance, if: n=4041, then, at that point, the number n can be addressed as the total 2020+2021; n=4042, then, at that point, the number n can be addressed as the total 2021+2021; n=8081, then, at that point, the number n can be addressed as the total 2020+2020+2020+2021; n=8079, then, at that point, the number n can't be addressed as the amount of the numbers 2020 and 2021. Assist Polycarp with seeing if the number n can be addressed as the amount of a specific number of numbers 2020 and a specific number of numbers 2021. Input The primary line contains one integer t (1≤t≤104) — the number of experiments. Then, at that point, t experiments follow.…Simplify the following Boolean functions. F(w, x, y, z) = !w!x!yz + !w!xyz + !wx!y!z + wx!y!z + xy!z + w!x!yz + w!xyz F(w, x, y, z) = ? Simplify the following Boolean functions. F(x, y, z) = xy + !xz + yz F(x, y, z) = ? Simplify the following Boolean functions. F(w, x, y, z) = !w!xz + w!xz + !w!x!y!z + !w!xy!z + !wx!y!z + !wxy!z + wxy!z + wx!y!z + w!x!y!z + w!xy!z F(w, x, y, z) = ?Algorithm for Updating a value with a change value and a momentum term.in: sequence of n values V = V0, V1,...,Vn−1 (2 ≤ n); change c; momentum coefficient α (0 ≤ α ≤ 1)out: sequence of n + 1 values W where the first n values are identical to V and thelast value is Wn = Wn−1 + c + α(Wn−1 − Wn−2)