Find the work done in moving a particle from point P(- 5, 0, 2) to Q(3, - 1, 4) if the magnitude and direction of the force are given by v = <7, 3, - 1>.

Q: Consider the function f defined by: f(x, y, z) = x² + y² + z² − xy − yz + 6x − 5y + 4z − 100. 1.…

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Q: 1(x) = 1 (x)= 0, −1 < x < 0 -1 1, 0<x<3 0, 0,5 < x < 0 x, 0<x<0,5

A: The given function functions are        (i) fx=0,   -1&lt;x&lt;01,       0&lt;x&lt;3 and      (ii)…

Q: Evaluate the following integral: La-e¹dx a. Analytically b. Trapezoidal rule c. Composite…

A: The given integral is ∫04(1-e-x)dx. To Solve: (a) Analytically. (b) using Trapezoidal rule. (c)…

Q: 03 // A)) Find the volume of solid below? =Y+X x² + 3² AC D4

A: Given solid is

Q: r = 3 sin 20

A: Given: Polar equation r=3sin2θ To find:  Graph of given polar coordinate

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

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Q: H.w 3: Apply the Trapezoidal rule to evaluate SiSit 2xydxdy (1+x²)(1+y²)' taking h = k = 0.25. 110 +…

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Q: Which of the following tests for convergence of infinite series is least convenient to show that the…

A: We will check each test to find which is least convenient

Q: 3 -6 -4 -3 4 V1 = 5 -1 te the distance d from y to the subspace of R4 V2 =

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Q: Q4 Here are some vectors. -2 Now here is another vector: 4 Is this vector in the span of the first…

A: We have to check whether the vector v=14-2 can be written as the linear combination of the given…

Q: Find the Maclaurin series for f(x) = ex+x² using the familiar series. Then use the results to…

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Q: 6) An airplane is on a heading of 020° at an airspeed of 600 km/h. A 75 km/h wind is blowing from a…

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Q: 7. Let x₁ = a > 0 and Xn+1 = x + 1/x,, for n E N. Determine whether (x,) converges or diverges.

A: Q7 asked and answered.

Q: 381% rounded to nearest hundredth

A: Given,        10.381%

Q: 1. Let S be a nonempty set. (a) Give the definition for: "a is not an upper bound of S." (b) Give…

A: As per our guidelines only first three subquestions are solved. For remaining question kindly…

Q: Find lim t→ 1 1 - cos2 Int 0(0.20 를 를) 0 O t ./t+7, t-1 t2 − 1

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Q: In a three-dimensional coordinate system (R3), the equation x2 + z²=9 represents a

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Q: 1. Evaluate the following integrals: e) dx -x2 + 4x - 3 -

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: 1. Given the function determine: Y y = 4 log5 (x+2) - 7 a) the domain b) the range c) it an…

A: 1. Given y=4 log5(x+2)-7 To determine:   (a) the domain   (b) the range   (c) is it an increasing or…

Q: ii) You invest $10000 in a mutual fund which grows at a certain percent every year. After 8 years…

A: The uniform rate of changing is the part of mathematics where the number is changing continuously at…

Q: Let f be a mapping from [1,+∞[ to [1,+∞[, defined by f(x)=x+1/x. Then f is continuous but it is not…

A: A function is homeomorphic when it follows the bijection. The bijective property is one of the…

Q: 1. Determine the Inverse Matrix of the following using the 5 steps and Gauss - Jordan Method. [1.20…

A: The given problem is to find the inverse matrix for the given matrices by using Gauss Jordan method.

Q: defined by: g(x1, x2, x3) = −2x² − 5x² − 3x² + 4x₁ − 15x2 + 3x3 − 7. Consider the function 1.…

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Q: Let T : R² → R² be the linear transformation that first rotates points clockwise through 60° (π/3…

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Q: Solve the given differential equation. All solutions should be found. (5y¹ + 2x³y) dx − (4xy³ + x¹)…

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Q: Characterize the following function in terms of notation. (a) f(n) = (n² + 2)(10n³ +5n-6)n¹, n ≥ 0.…

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Q: Solve the system: Solve the system: 2x+2y-z = 2 x-3y+z=-28 = 14 -x + y 1 p

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Q: x (lay_ In x) dy + y(1+lmy_lux). dx = 0

A: Introduction: A function of two variables is referred to as a homogeneous function when it is…

Q: Find the general solution of the PDE. The solution u is a function of x and y. Uxz = x - yz + y²

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Q: The pedal of a bicycle is attached to a crank arm that revolves when the pedal is pushed by a…

A: We will use sin function to represent  vertical position of the foot with respect to the ground,…

Q: - - simplify the following: 3(6-x) + 4(2x − (m — 2))

A: Use the given information.

Q: find the length of the remaining part of the y = x³/12 + 1/x curve between the x = l and x = 2 apfog…

A: We have to find the length of the remaining part of the curve y=x312+1x between x=1 and x=2

Q: The population of a community is known to increase at a rate proportional to the number of people…

A: Given: The population of a community is known to increase at a rate proportional to the number of…

Q: Suppose that f is a function given as f(x) = 2x² + 7x - 2. Simplify the expression f(x + h). f(x +…

A: In mathematics, differentiation is the process of determining the derivative, or rate of change, of…

Q: A 20-volt electromotive force is applied to an LR-series circuit in which the inductance is 0.1…

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Q: Choose the correct letter that corresponds to the exact answer. 1. Find the derivative of f(x) =…

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Q: Suppose T : Rn → Rn is a linear transformation. Prove that T is an isometry if and only if T(v) ·…

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Q: Use synthetic division to show that x is a solution of the third-degree polynomial equation, and use…

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Q: (b) If WCU, prove that (Recall that U+W = (c) If U + W = U, prove that WCU. U + W = U. = {u+w|u€ U₁w…

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Q: A waiting-line system that meets the assumptions of M/M/1 has A-1,-4. For this system, what is the…

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Q: USINg Laplace's transform, solve: +∞ Cos (7x) dx X²+25

A: Laplace transformation has wide range of application sin different fields of mathematics. In…

Q: An investor has $683,000 to invest in bonds. Bond A yields an average of 6% and the bond B yields…

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Q: Q₁: Which of the following are always true, and which one are not (for five only)? Give reason(s)…

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Q: 0.7 0.6 H.w1: evaluate fe* siny dx dy Jo.2 i) using the trapizodial rule in both direction, Ax = Ay…

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Q: 8. Which line does not lie on the plane r = (1,5,0) + s(2,-3,1)+t(1,−1,4), s,t € R? a. V = (1,5,0) +…

A: To Find: Which of the given lines does not lie on the plane r = (1,5,0)+s(2,-3,1)+t(1,-1,4) where…

Q: Q[√5] is Principal Ideal Domain. O True O False

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Q: -labelled diagram and calculate the Fill in the blanks below after you ha

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: 12 or younger 13 or older Total Signed waiver 10 8 18 Did not sign waiver 20 12 32 Total 30 20 50

A: Let A and B are two events, then;  P(A∪B)=P(A)+P(B)-P(A∩B)

Q: Find the equation of the plane that X-3 contains the lines =y= z+1 4 and X+2= =y-5= 2 Z-3 4 2 -16x -…

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Q: Which of the following gives the Golden ratio? X x+y where xy X c. YX+Y where xy x X [^\!** d. X

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