Forming lines from 7 given points with no three points are collinear. Combination O Permutation

Q: The appropriate integrating factor for the following differential equation (2xy? +xy²)dx + 4x²ydy = ...

A: We have given differential equation is , 2xy2 + xy2dx + 4x2ydy = 0 Compare with, Mdx + Ndy = 0 Here ...

Q: Consider the following graph of f(x) and g(x). State the interval where f(x) > g(x 8- f(x) 4- -6 -5 ...

A: If y=f(x), then the variable x is called the input of the function, and the variable y is called the...

Q: If x<y, prove that x<(x+y)/2<y?

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Q: Let A = {1,2,3} and let R= {(1,1), (2, 2), (3, 3), (1, 2), (2, 1), (3, 2)} C A x A. In each case, de...

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Q: Given that y, (x) = x is a solution of the differential equation x?y" - xy' + y 0. If we use the red...

A: We have given differential equation, x2y'' - xy' + y = 0 Let , y1(x) = x is a solution of differenti...

Q: Expand the function in a power series E anx" with center c = 0. Find a„x". n=0 (Express numbers in e...

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Q: ne table shows the total assets (in trillions) held in a foreign bank for the given years. Complete ...

A: We can solve this using formula of exponential regression Instead of y0*(b)t i choose a*bx.  

Q: A teacher wants to assign 4 different tasks to her 4 students. In how many possible ways can she do ...

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Q: Find the change-of-coordinates matrix from B to the standard basis in R". 4 B= 3 -2 3 -6 P3=

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Q: Apply the differentiation rules of a "quotient": ôn, (n ôn2 n Or a differentiation of a product of t...

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Q: Q4: Evaluate a. L(t3+5 sin7t). b. L(t cos5t). 1 C. L-1

A: Introduction: The formula of Laplace transformation for the functions f(t)=tn, f(t)=sinat is given b...

Q: Solve the following differential equation around the point x=0 by the power series method (y^2-1)x"+...

A: Solution:-

Q: 2.S dx Vx(x+1)((tan-1Vx}+9) zin10 log10× dx 4. ,

A: We will use the basic knowledge of integral calculus to answer both the questions, namely 2. and 4.,...

Q: 3. A B 4. 3,2, Modus Ponens 5. BV C 6. BV ~ (~ C) 7.

A: Introduction: Apart from constructing a truth table, an argument can be deduced from its premises th...

Q: cos3u Find: du. (2+sin 3u)2 The professor asked me fer the solution in full

A: Introduction: When we try to integrate a composite function, we first follow the method of substitut...

Q: Write the constraint below as a linear inequality. A canoe requires 8 hours of fabrication and a row...

A: Introduction: Constraints are linear inequalities, equations, or restrictions on variables in a line...

Q: The solution of the following exact initial value problem (y cos x – xy sin x)dx + (x cos x – 1)dy =...

A: The solution of the differential equation is defined as the function that satisfies the equation. In...

Q: A refrigerator room for storage of ice cream will be designed as room with a square floor and a heig...

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Q: An airplane is flying at an airspeed of 750 km/hr in a wind blowing at 50 km/hr to the southeast. In...

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Q: sin 4x 1. f(x) : complete the table. Show your solution. 2 0.8 0.5 0.1 0.01 0.001 0.0001 f(x) sin 4x...

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Q: A construction company buys lumber in 8- foot and 14-foot board lengths. Each 8-foot board is cut in...

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Q: For a periodically forced system my" +2¢ y + ky = F cos (wt), the steady-state amplitude A, can achi...

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Q: 14. Two cars start from rest at a traffic light and accelerate for several minutes. The graph below ...

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Q: 1 I = J dx (1-x²)Z %3D 3

A: It is known that: 1-cos2x=sin2x∫sec2x=tan x+Ctansin-1x=x1-x212

Q: 1. Let R be a relation defined on the set of rational numbers Q where for a, b E Q, a R b if and onl...

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Q: 2. Use Gauss elimination with back substitution to solve the system of linear equations: 8x, +x, +4x...

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Q: Brian is planning to change the password of his social media accounts because it was accessed illega...

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Q: 2 7 -3 -구 Find lAB)"

A: We want to find (AB)-1

Q: The values of C, and C2 so that y(x) = C, sin x + C, cos x satisfies the following conditions: y(0) ...

A: The constants C1, C2 can be calculated using the initial conditions. It is known that ddxsin x=cos x...

Q: 1. A company produces two colors of cloth, namely red and pink. In order to produce these colors, 2 ...

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

Q: Let R be the relation on Z defined by x Ry if and only if x+ 3y is even. Prove that R is an equivale...

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Q: E.C. Based on the figure below, state and prove the Spherical "Pythagorean" relationship for right s...

A: We will use the basic knowledge of spherical geometry to answer this question.

Q: 2000 2002 2004 2006 256.5 240.8 217.0 (a) Find an exponential model of the form f(1) = y,b' for thes...

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Q: If P(x) = - 0.01x3 +4x2 +70x-1000 is the profit function for a product. Find the rate of change of t...

A: Introduction: The formula for the marginal profit function of the profit function is given by, m(x)=...

Q: The solution of the following linear differential

A: Given,            xy'-3y=1x

Q: 2. For a given function f(x) – (x – 2)² + 6 a) Axis of symmetry : x= b) The vertex (h,k) is: ( c) Ma...

A: The  x co-ordinate of the vertex lies on the axis of symmetry which is situated at the midpoint of t...

Q: Q4/ Solve the following quartic equation: 2x* - 16x3 + 37x? – 29x + 6 = 0

A: The given quadratic equation is:2x4-16x3+37x2-29x+6=0       ............(1)For x=1 we have from (1),...

Q: blem 2 Let A > 0 and A + na. y" (t) +X'y (t) =Dan cos (nat) n=1

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Q: 1. Given y log, 16. The value of y= 2. If log(x + 3) = 2, then the value of x is

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Q: ((2x-y²)´_ (x,y) + (0,0) Let f(x, y) = } x²+y+ ' 2, (x, y) = (0,0) Are fr and fy continuous at (0,0)...

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Q: isfies the differ and the auxi

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Q: The system of linear equations is part of linear algebra. What happens in our daily lives is close r...

A: Healthy lifestyle related problem: Let James wants to use milk, eggs, cheese and yogurts to increase...

Q: Q1: By using Gaus -Jordan elimination method solve the following system : x+ y +z = 1 2x – 2y + 2z =...

A: Introduction: Gauss Jordan elimination method is an efficient method to find the solution of a syste...

Q: H.W:- Selve The lincar SysTems O1.7X-3 O 1.7 3.2y= 8-1 0.4x+ 112y= -2

A: The solution to the system of equation is defined as the values of the variable that satisfy the equ...

Q: The graph of the equation 2x2 - 5y?+12x+ 20y+F=0 is either a hyperbola, a point or two intersecting ...

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Q: —6х Find the Taylor Series for the function f(x) = e6* centered at x = 0. f(x) = 2n- Guide: This is ...

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Q: If money is invested at 6% compounded semi annually, find the present value of P94 500 which is due ...

A: When the interest is compounded, then the formula used is A=P1+rnnt , where, A is the final amount, ...

Q: The auxiliary roots of the following differential equation y" – 2y' + 5y = 0 are 11 = 12 = -2 3-V29 ...

A: The given differential equation is:y''-2y'+5y=0     ...........(1)We have to find its auxiliary root...

Q: 4 . A town is endowed with an oil reserve. The total stock of oil from the reserve is 110 barrels. T...

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Q: 2) Se* dx

A: Given: ∫x5exdx