Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

Q: Given an area of circle of 96 inches squared, determine its given radius by using the initial…

A: This is a problem related to numerical method. Based on the initial value of the radius we will…

Q: 125 and y = 10. y? y = x, x =

A: answer is in next step

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

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Q: An Integration factor of this differential equation is .7 3x? + 1 + x3 dy 1 y : 1+ x2 dx

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Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: Two functions are defined by f: x ax + I andg:x 4b **1, where a and b are constants. Given that f(a)…

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Q: * The solution of the differential equation below is dy = ky dx %3D x = eky y = ekx Option 2 O…

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Q: [1 -2 If A= [2 1] and B= 3 2, then (AB)T is equal -3 10 -2 7 Option 2 None of these O -3 7 –3 -2 10…

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Q: * This equation is an example for linear equations dy y + dx = x²e* False O True O

A: To determine whether the given statement is True or False.This equation is an example for linear…

Q: 3 The series E converges if n=2 (n+ 1)P (n – 1)ª (a) p+q1 (c) p+q=1 (a) p+q=2 (e) -1<p+q<1

A: Solve the following

Q: 258. A spherical balloon is filled with air at the rate of 2 cu cm/min. Compute the time rate of…

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Q: Solve the equation .11 y" + 3y' + 2y = x2

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Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

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Q: Find the arc length of the parametric curve. 8 cos(t), y = 8 sin(t), z = 6t; 0<t<T x = L =

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Q: 5. S sin5x cos 3x dx

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Q: Which of the following theorems establishes a relationship between differentiation and integration O…

A: We have to find out relation

Q: A combination lock will open when you select the right choice of four numbers (from 1 to 45,…

A: Topic = Algebra

Q: [2 1] and B= 3 2, then (AB)T is equal If A = 10 -2 7 Option 2 None of these -3 7 -3 -2 10 2 10 7…

A: Given

Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

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Q: com/courses/46921/assignments/1001688?retum to-https%3A%2F%2Fnctc.instructure.com%2Fcalendar%23view…

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Q: A: By using Linear equation solve the first order differential equation y' + sec(x)y = cos(x)

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Q: Jav f(u) /2x² + 12dx takes the form (и)du.

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y = x²…

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Q: Find the limit.

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Q: Give 5 sample problems for Homogenous Coeffiecient (Differential Equation). Provide step by step…

A: Take a homogenous equation and first differentiate then simplify

Q: 0 4 0 4 0 0 zero matrix square matrix diagional matrix unit matrix O

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Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: Find the inverse of the function on the given domain. f (z) = (x – 14)2, [14, 0) f-1 (2) =

A: The given function is;  f(x)=(x-14) 2,[14,infinity).

Q: Let f(x) = 10x + ax² + e2×. Compute f()(x). %3D (Use symbolic notation and fractions where needed.)…

A: We need to find the 7th order derivative of the function f(x) given by

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Given the curve y = x´ and the lines y = 0 and y = 2 – x Find the area of the region bounded by the…

A: Given

Q: dz Find if z = 16x5 – 18x³y3 + 9y – 4. %3D ay az %3D ду

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Q: Question 1 The position vector of a particle is r(t). Find the requested vector. The acceleration at…

A: Topic  = Derivative

Q: ) Find of the implicit function a? + 5xy + y? – 2x + y – 6 = 0 at the point 1. . (1, 1).

A: Topic:- derivatives

Q: Find u + v, u - v, and 4u 5v. Then sketch each resultant vector. - u = (-4, 2), v = (3, -6) %3D (a)…

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Q: Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal…

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Q: Q.4 Let 0 be a scalar point function defined as follows Ø = x3 + y3 + z – 3xyz. : %3D 4.1 Find the…

A: This is a problem related to

Q: S cosh? 2x sinh² 2x dx

A: This question is based on indefinite integral.

Q: f(In) For the function f(x) = x + 3x + 1, write Newton's formula as En +1 = F(In) = In - %3D for…

A: Topic:- application of derivatives

Q: - In an electronic device, individual circuits may serve many purposes. In some cases, the flow of…

A: Here, the given function is: p(x)=V2x(R+x)2 of power to find x that maximize the power.

Q: There is a function                                                           f(x,y)=3√x3 + y.…

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Q: A factory selling cell phones has a marginal cost function C(x) = 0.01x? – 3x + 229, where a…

A: Given; C(x)=0.01x^2-3x+229                R(x)=429-2x

Q: Q2/: Full the following blanks by the suitable solution (Undetermined Coefficients method) If y" +…

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Q: ructure.com%2Fcalendar%23view name%3Dmont... r- Axis y Axis Find a different pair of polar…

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Q: x3 dx J4- x4

A: ∫x3dx4-9x4Multiply &amp; divide by -36 =-136∫-36x3dx4-9x4since, ∫f'(x)f(x)dx= 2f(x)

Q: y" + 3y' + 2y = x2

A: We have to solve given differential Equation.

Q: 10 (5, 10 -x, x>5 x55 Use geometry to evaluate f(x) dx for f(x) = O 12.5 O 25 37.5 Cannot be found

A: Given that fx=5,x≤510−x,x&gt;5 To evaluate ∫010fxdx

Q: Given a, b e Z, 6 7 0, consider the following affirmations regarding Euclides's algorithm: i) There…

A: We want to choose the correct option.

Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A: This is a problem of differential equation. Based on the general formula and concept of separation…