2. Given the definition of the main window of the periodic function g(t)=t-t². -1

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (-) < 0, f (x) has a root in [0]. To solve…

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Q: A linear time-invariant system (A, b, c) is modelled by the state-space equations x(t) = Ax(t) +…

A: Here we need to show that wether system is controllable and observable.

Q: Find a product solution using separation of variables.

A: The given partial differential equation is                                         x∂u∂x=u+y∂u∂y

Q: - D(x) = 34 x is the price, in dollars per unit, that consumers are willing to pay for x units of an…

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Q: For nos. 1 and 2, use separation of variables to find a product solution to the following: ди 1. ди…

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Q: 1. Solve the following Linear Systems of Equations by Gaussian Elimination: 2.) 3x + 3z = 0 2x +2y =…

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Q: fy" + (1 + 2 €) y ² - 2y = 0 > (1)

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Q: R B x red area is three times larger than the blue area, find the value of n.

A: We evaluate the region R using integral x dy and the region blue by using the integral y dx. This is…

Q: +∞o Suppose Στ% από = 5. What is the value of lim an? n-0

A: Here we use the theorem of convergent series to determine the limit.

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (=) < 0, ƒ (x) has a root in [o,]. If we…

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Q: 3. Using Gaussian/Gauss-Jordan method solve for the unknowns: - y + 2z - w = −1 2x + y2z - 2w = -2…

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () <0. f(x) has a root in [0]. To solve…

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Q: Suppose 3.141516 is estimated using 3.141529. The relative error is (Answer must be in 7 decimal…

A: The given number is  3.141516 The estimate value is 3.141529

Q: Consider the function f(x) = cos x - 3x + 1. Since f (0)ƒ () <0. f(x) has a root [] If we use secant…

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Q: Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis and…

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Q: Find a center of perspectivity for the triangles AABD and AFHI. Give the correspondence between the…

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Q: Suppose 3.141516 is estimated using 3.141529. The absolute error is (Answer must be in 6 decimal…

A: Let Xt be the true value and Xa be the approximate value of a number then the corresponding absolute…

Q: The fixed-points of f(x) = (x² + 2) are_ and

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Q: Calculate the integral of the following using the four point Gaussian quadrature and the three…

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Q: 1. Solve the Laplace's equation 02и Ә2и + 0 Əx² дуг defined on the square 0 < x < 1 and 0 ≤ y ≤ 1…

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Q: Find the area of the region bounded by the curves 1 y y = 4 and the x-axis using vertical strip.…

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Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: Evaluate the integral: si, sze fr3 tinutan's ds du dt ㅋ

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Q: Evaluate: £²³₁ ²[(x²-²²] du dt x+y

A: Given, double integral J=∫-13∫02(x2-y2)2x+ydu dt  we can write it as : ∫-13∫02((x-y)(x+y))2x+ydu dt…

Q: A) True B) False If f(x) is continuous, f(-1) = 2, and ƒ (2) = -1, then f(x) has a root in [-1,2].

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Q: The fixed-points of f(x) = (x² + 2) are and

A: Solution :  The fixed point of the function f(x) is  f(x) = x  Since, given function is  f(x) = 1/3…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ(x) has a root in [0₁]. To solve…

A: We have g(x)=(13)(1+cos(x)), x0=0 iteration formula: xn=g(xn-1)

Q: f₁ = x4 f₂ = -x4 f3 = x² f4 = -x²

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Q: 10 [ Σ 15m3 n=m =

A: Given summation is ∑m=11015m3 we can write it as 15∑m=110m3         (1)

Q: FIND Y(s) OF THE GIVEN EQUATION. y" + 4y = cos(t-3)+4t, y" - 6y + 15y = 2 sin(3t), y(3)=0_y' (3)=7 y…

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Q: Find the area of the region bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

A: To find the area of the region bounded by the curves y=1x+82, y=4and x-axis i.e. y=0 using vertical…

Q: 4 Find the area of the region bounded by x = = 2y²+1 and the y-axis using the horizontal strip.

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Q: Find the 1 y = (x+8)²² ОТ egion by y = 4 and the x-axis using vertical strip.

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Q: Which of the following integrals gives the arc length of the part of the three-petal flower r = 2…

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Q: Evaluate the integral: S/2 sin(4t-u) du dt

A: we have to find the integral ∫π2π∫0tsin(4t-u) dudt

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0. f(x) has a root in [0]. To solve…

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Q: Evaluate ¬⇒(PV¬q) if p and r are True and q is False. Select one: O True O False

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Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ () < 0, f(x) has a root in [0]. If we use…

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Q: y' (t) = 1 Sin(t) -t y (u) cu -> (1)

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Q: Find the General Solution of (D² + 5DD' +6D22)Z = 10 cos(x - y)

A: Given partial differential equation is D2+5DD'+6D'2Z=10cosx−y. We have to find the general solution…

Q: 5. Use the inversion algorithm to find the inverse of the matrix (if the inverse exists). 1 0 1 1 1…

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Q: A True B False If the sequence {a}, is convergent, then the sequence {x} defined by…

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Q: If 0±x#1 in a field R, then x is an idempotent. но чо

A: Only idempotent element in a field are 0 and 1

Q: 3. Determine if b is a linear combination of a₁, a2, and a3 2 1 2 3 a1 = 1 a2 = 2 , az 1 4 1 0 9 - =…

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Q: 5. If Evaluate the following. (a) F' (9) (b) F (0), by interpreting F (0) as an area F(x) = √ √ 25 -…

A: Given: Fx=∫x525-t2dt

Q: Find the area of the region bounded by the curves 1 y= y = 4 and the x-axis using vertical strip.…

A: Trace the region of the curves and set up the required double integral to find the area.

Q: Consider the function f(x) = cos x - 3x + 1. Since f(0)f < 0, f(x) has a root in [0]. If we use…

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Q: lowi 19 7 2

A: Given,  Two Players A and B The Bi-matrix game is given as : A=19619712621416…

Q: Consider the function f(x) = cos x − 3x + 1. Since ƒ (0)ƒ (²) < 0, ƒ (x) has a root in [0]. If we…

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