The ratio of boys to girls at a winter dance is 5 to 6. If there are 90 girls, how many boys are at the dance? 60 O 75 O 108 O 150

Q: II. Judge, by constructing truth tables, whether each of the following is a tautology, contradiction...

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Q: kimum and minimum r3 9y +1

A: Given as, f(x)=x3 -9x+1, -∞,∞

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A: We have ,                                                                           y' = - y (1 - y)...

Q: + k?y = 0 dx2 What type of D.E. is this?

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Q: . Prove that (-Sn+7ys ,5n²-5n+7, 3n²+4n-8' 00 n=1 converges.

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Q: Factor 50x + 90y. Write your answer as a product with a whole number greater than 1. Submit

A: To Factor 50x + 90y :-

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Q: Perform the following as indicated. Show your complete solution to earn maximum marks If (x + yi) /i...

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Q: 20y gny %3D

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Q: Let X = {a, b, c, d} and Y = {x, Y, z, w} be two topological spaces with topologies Ti = {X,0, {a}, ...

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Q: Question 16 Which among the choices is linear differential equations? dy -+ycosx= sin x dx a. d*y %3...

A: The general form of n-th order linear differential equation is  (dny/dxn) + P1 (dn-1y/dxn-1) + P2 (d...

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A: It is given that velocity of the particle is, v=(αy, αx) at position vector, r=(x, y) It is known th...

Q: dy - y = e*y? dx

A: Let us consider the given differential equation dydx+P(x)y=Q(x) To solve the differential equation  ...

Q: AD = 12.363 "(-1.2278 x 10-1"7² + 6.1946 x 10-°T + 6.015 x 10-)dT a. Use 6 segment Simpson's 1/3 Rul...

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Q: (a) If a single infectious individual enters the city at t = 0, compute the progression of the epide...

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Q: Solve the following complex number: 1. 2+i/1-i = i(x+iy), x=? ; y=? 2. (2+i)(3-2i) = a+ib, a=?; b=...

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Q: Find the volume of the solid generated by revolving the region bounded by y = x2 +1, y = x+ 3 about ...

A: The volume of the solid of revolution  about x-axis is obtained as Volume=∫abA(x)dx Where A(x)=πoute...

Q: x1 + 2x2 – 3x3 = -3 x1+ 2x2 – 3x3 2x1 – 5x2 + 4x3 = 13 5x1 + 4x2 – x3 = 5

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Q: 12 Solve the boundary-value problem du 0 0 at + sin x %3D u(0, ) = 400, u(T, t) = 200, r>0 u(x, 0) =...

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Q: 3+1 D 1+ 2 D 0+4 = 2+2 = 5+ 1 = 3+4 D 3+3 = 5+0 =

A: Given question is nothing but ordinary addition . that is we have to add two whole numbers.

Q: Obtain general solution of the D.E. y + (1/3)y = e'y A) 1/x = e (c - 3x) B 1/y³ = e* (c - 3x) 1/y = ...

A: The given equation is Bernoulli equation we will solve this by substitution method

Q: Perform the following as indicated. Show your complete solution to earn maximum marks Given that z =...

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Q: Solve for the missing angle measurement.

A: Given,      

Q: 4. Graph the following system of equations on the coordinate plane. Then state the solution to the s...

A: Given a system of equations :                                         y + 2 = 2xy - 2x = 3 We have t...

Q: QUESTION 2. than one statement may be true Which of the following statements are true? Note that mor...

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Q: Find the angle between the vectors a=(2,2,-1) and b=(5,-2,3)

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Q: Let @ = 7e* dx ^ dy + ae³ dx ^ dz and n = 7e*y dx + 14e* dy+ e³ dz, where a E R. Find the value of a...

A: Given: 2-form, ω=7exdx∧dy+αeydx∧dz. 1-form, η=7exydx+14exdy+eydz.  where α∈ℝ. To find: The value o...

Q: Question 4 In a concert hall, the ceiling can be described by the plane x + y + z = 30. An audio eng...

A: 1st we will find function to be maximized and its corresponding constraint then will use Lagranges m...

Q: 1. Calculation of derivatives: (a) of derivatives. Show that cos' z = – sin z, sin' z cos z by using...

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Q: Evaluate the following integrals. Ax 3 -1 x dx 1. sec

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Q: 11. How many bit strings of length 13 start with 01 and end with 1? a) 210 b) 132 c) 213 d) 211 e) 3...

A: We have to find bit strings of length 13 starts with 01 and end with 1.

Q: g →(p A

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Q: (2x+5y =7 [3x+ 2y =-6' 1. Solve the linear system using graphical method.

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Q: Find the order and the degree of the differential equation ду = COS X ax \əx²

A: The order of a differential equation is the order of highest order derivative term. The degree of a ...

Q: Determine the Fourier Series of the given function. 1. f (г) — х; —1 <х <1

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as...

Q: 4. Z,/Z2 5. Z,*Z2* 6. z,3

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Q: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0...

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Q: Question 6 5 12 B = |1 11 and C = |-9 1 -5 |. Which of the following 14 6 -11 [16 -7 4 -3 13 7 10 0 ...

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Q: Q2/ Find the volume of the solid generated by revolving the region bounded by y = x² +1, y = x+ 3 ab...

A: Given Equation of parabola y=x2+1. Equation of line y=x+3.

Q: Peter measures his new empty swimming pool and estimates that it has a volume of 3,400 cubic feet. H...

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Q: A computer gaming company employs 10 programmers, 6 graphics specialists, and 3 cre- ative designers...

A: We will use basic knowledge of combinatorics to answer this question.

Q: Determine the square root of 155 by finding the numerical solution of the equation x^2 - 155 = 0. Us...

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Q: ider the folowing tablcau: 1 81 32 RHS -1 1 -1 1 1 -2 -1 0 0 0 a) Determine the pivot column and the...

A: The Pivot element is calculated by any of the matrix algorithm. The process of finding pivot element...

Q: Question 8 Find the order and degree of the following differential equation. 7(d*y/dx4)2 + 5(d?y/dx2...

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Q: Jcos(2x)+ sin(0.5x) Using riemann compute for the integral of F(x) = tan(3x) sum over the interval [...

A: We can solve this using Riemann sum

Q: Derive the expression of cot-'(2). Find the principal branch of the multiple valued function log(2z ...

A: We will be solving Q.4 as mentioned. (a). Let cot-1z=w, therefore cotw=z. Now consider: z=cotw=cosws...

Q: 1 Suppose that an account is governed by a quadratic accumulation function a(t) = at? + 0.01t + b an...

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Q: y-5y't 4y =O x10)-5 y'l0)=2

A: We have to find the particular solution of the initial value problem                            y''-...

Q: 1. a. Evaluate 25-2-3

A: An expression ab represents b times the number a is multiplied by itself. Here, a is called as the b...

Q: d. (U \V)n (V\U) = (Un V) \ (U UV) e. Given the Cartesian product U × V := {(0,0), (-1,0), (0, –1), ...

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