In a class with 25 student there are 6 student very talentet in the subject of art. What percentage of student they are?

Q: 5. Here is a rule to make a list of numbers: Each number is 4 less than 3 times the previous number.…

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Q: (i) An electrostatic field in xy-plane is given by $(x, y) = 3x²y- y³. Find the stream function Y…

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Q: Solve the following system of linear equations: 5x1+5x2+5x3 = -25 -3x1-9x3 = 9 -3x₁-4x₂ = 17 If the…

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Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its…

A: Equation of conic section is F(x,y)=85x2+4y2-1360x+56y+5296          (1) Also given that the pair…

Q: A taxi company charges a pickup fee of $5.25 plus $0.60 per mile. What is an appropriate process for…

A: Given below clear explanation

Q: Let A = 10-2 0 44 and b = -28 2 5 12. Denote the columns of A by a₁, a2, a3, and let W = Span (a₁,…

A: A=10-204-4-282 and  b=512-10 Lets denote columns of A as below a1=10-2, a2=048, a3=-2-42 Let…

Q: (a) By graphing the function f(x) = (cos 2x − cos x)/x2 and zooming in toward the point where the…

A: What is Limit of a Function: A function depends on its variable. As the variable moves, the function…

Q: Consider the rectangles D = [0, 3] × [0, 4], D₁ = [0, 1] × [0, 4], and D₂ = [1, 3] × [0, 4]. If you…

A: Given that the function f(x,y) satisfy  f(x,y)≤4 on D1  and f(x,y)≤-2 on D2 and we want to find…

Q: Solve the following system of linear equations: 3x1+6x2+6x3 = 6 X1+7x2-3x3 = 7 -2x1-x2-7x3 = -1 If…

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Q: d² dy +5 dy + 5y = e-t sint, where y(0) = 0 and y' (0) = 1.

A: Given: The equation is d2ydt2+5dydt+5y=e-tsint. The given initial condition is y0=0 and y'0=1. To…

Q: defined a proper policy for an MDP as one that is guaranteed to reach a terminal state. Show that it…

A: Given Data: Show that: It is possible for a passive ADP agent to learn a transition model for which…

Q: Please, help me with the solution of this problem, not only that I just wanted the solution but I…

A: This is a question from the Differential equation.

Q: 2. Express log(x²-x-12) -log(x² - 7x + 12) as a single logarithm. State any restrictions on the…

A: Given Expression is logx2-x-12-logx2-7x-12 Here we can use the formula log a - log b =log ab

Q: What position vector is equal to the vector from (4.-3. - 2) to (-5, -8,7)? The position vector is…

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Q: A body whose temperature is 180°C is cooled by immersing in a liquid at 60°C. In one minute, the…

A: The given rate of change in temperature (T) at time t is: dTdt=-kT-60 Also, it is given that the…

Q: A graphing calculator is recommended. The displacement (in centimeters) of a particle s moving back…

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Q: How can I simplify f(x) = arctan(2(x-1)) - ln IxI such that I can describe the intervals of the…

A: Given below clear explanation

Q: By Simpson's method, find an approximation for [(x³−2x³)dx_(n=4) 0

A: What is Simpson's Rule: Simpson's rule is a tool to approximate an integral. It is the process to…

Q: Solve the initial value problem u(t) -0 du dt 4u+3t = e 5 u(0) = 9

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Q: A straight line ABCD was measured as a whole and in sections. Due to variations in the accuracy of…

A: Most probable length = observation value + errrr  value

Q: 1. Express e² in rectangular form a) z = −1 + j T 4 b) z = π + jπ c) z = 1.5 + j2

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Q: het f: [0, 1) (0,1) be given by f(x) = 2x (mod 1). Find a poin [0, 1) where f² (x) is in a 3-cycle 3…

A: Given below clear explanation

Q: 2. A parachutist jumps out of a plane. Her height, in metres, above the ground after t seconds is…

A: As per the guidelines we are allowed to solve maximum three sub-parts so i am solving first three…

Q: 8. xyzx +2y³ (z, = 1

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Q: Suppose Σan and Σ bn converge where an and bn are nonnegative for all n. Prove that anbn converges.

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Q: - [8] 5 Problem 2. Determine if b = is a linear combination of a₁ = 3 ,a₂ = -B 6 a3

A: A system of linear equations has a solution if the rank of coefficient matrix and rank of augmented…

Q: 4. Solve cos x = cos 2x for the interval x E

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Q: Problem 3. Show that the function cos(n²x) 2n f(x) = Σ n=1 is differentiable on [0, 1] and f'(x) is…

A: Given :  f(x) = ∑n=1∞cosn2x2n To show :  f(x) is differentiable on 0, 1 and f'(x) is continuous on…

Q: For this week's graded discussion, you need to make up your own example of a application of linear…

A: We have to construct 2 Questions based on a system of linear equations, and then we need to write…

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: Given b x=y3, 0≤y≤2c x=9-y2, -2≤y≤2

Q: 1. Consider the matrices 10 A₁ = -( : ) - ( ) - ( 1 ) 020 A3 3 3 A₂ 02 00 -1 0 0-2 1 Compute the…

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Q: Sketch the graph of function, y = 3 log10x +3 by using transformations. Examine the…

A: Given : y=3log10x+3

Q: Using the key features of rational functions, make a quick sketch of the graph of f(x)=Summarize the…

A: Given function is fx=14x−8. Vertical asymptotes:- For rational function, vertical asymptotes is…

Q: 1. Multiple Choice If D= [1, 2] × [01,02] then what does T(D) = {T(r,0)| (r,0) = D look like?

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Q: I -5 -4 -32 1 y 51 4 3 2+ 1 2 3 4 5 х

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Q: Describe and graph (using a computer) the surfaces a) yz = 4 b) x² - y² = 1 c) 4x² + y² + 4z² − 4y −…

A: a) yz = 4  This represent the hyperbola. And  y = -4 , z = -1  y = -2, z = -2  y = -1, z = -4 y = 2…

Q: Suppose that a, a', b, b' are positive integers satisfying a) ab' a'b = b) gcd(a, b) = gcd(a', b') =…

A: Given that a,a',b,b'are positive integers such that  ab'=a'bg.c.da,b=g.c.da',b'=1 We have to show…

Q: The series 1 +-+-+ √5 √6 can be shown to be conditionally convergent. Find the first 10 terms of a…

A: Using the Reimann's rearrangement theorem, it can be written that the terms of conditionally…

Q: 0 J1 I 1 1 I 75 I HE I 1 11 U Y TH_A_ TT E 171 €

A: Sol:- when a vertical line cuts the graph only at one point , then it is said to be a valid…

Q: 7. Alta Vista Co. employed 840 employees. It announced to layoff of the sales force. How many…

A: The total number of employees were 840 It announced to layoff 14 of the sales force. So, the number…

Q: 2. Use the Newtons method to find the root of x-cos.x=0 correct to 3 decimal places starting with x…

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Q: Let HK ≤G and L≤ G. Show that HOLKL. Also, if L< G. prove that HL/LA KL/L. Assume that H≤K ≤G and N…

A: What is Normal Subgroup: A subgroup of a group is referred to as normal if it satisfies a certain…

Q: 3 Find ³√3+4i

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Q: 5. Express the flowing quantities in rectangular form. a) sec(x + j1) b) cot(+j3) 2

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Q: A force is specified by the vector F = [(-170)i + (120)j + (-80)k] N. Calculate the angles made by F…

A: Sol:- For positive x -axis:- Vector = (1,0,0) &amp; GIVEN F = (-170, 120, -80) -170120-80,…

Q: 06) Expand in Fourier Series f(x) = 1x1 in -2<x<2

A: What is Fourier Series: A Fourier series is a trigonometric series representation of a periodic…

Q: Problem 3) Given a football in the figure: 1 L=12 in The diameter is measured at some points and…

A: Given : z(in) 0 1.5 3 4.5 6 7 d(in) 0.0 2.9 4.8 6.2 6.2 6.7 To Find : (a) Area of the…

Q: QUESTION 3 An application of Kirchhoff's Current Law to the circuit with nodal voltages in Figure 2…

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Q: Find the Laplace transform of F(s) = = f(t) = = t 5

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Q: At $14.15, the demand (customers) for UB-shirts drops to 350. What is the demand when the price is…

A: Given that the demand and price of a t shirt is as, Price ($) Demand 14.15 400 15.25 350…