Integral Calculus

Q: A manufacturer has modeled its yearly production function P (the monetary value of its entire…

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Q: 1. a) Find all the values of (2 – 3i)¹ ) ¹/3 - b) Write the function f(z) = −3i e-²i in the form of…

A: Concept: Complex number in polar form: Complex numbers are represented in polar form because of the…

Q: 9. f (cosx-sin x)² dx

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Q: Find the cross product u x 7 where u úxv- 71 +5j +k and 7 (5,- 4,7).

A: This question can be solved using the concept of cross product of vectors.

Q: Evaluate the line integral, where C is the given curve. Jo xy ds, C is the right half of the circle…

A: Solved below.

Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: # Determine whether the function z = f(x, y) = (why or why not) for for (x, y) = (0,0) (x, y) =…

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Q: Q1) L-1 1 s(s²-1)/ a) cosht-1 b) 1-cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of…

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Q: Determine whether the integral is convergent or divergent. If it is convergent, evaluate it. (If the…

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Q: 2 S² T ㅠ 1-cos x dx 2

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Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: Pls help ASAP

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Q: Use a linearization to approximate tan(π/100).

A: This question can be solved using the concept of linear approximation.

Q: 1) a) Find all vectors such that X = b) Explain why there is no such that X =

A: Solution: a) let v = (a, b, c). Then

Q: (b) If ƒ is continuous on (a, b) then there is a number c in (a, b) such that f(c) is an absolute…

A: Consider the statement  If f is continuous on (a,b) then there is a number c in  (a,b) such that…

Q: 1) e5Ln x+4Lny-Ln z 2) 2Ln√x+2Lne√ - 2Lne* QV² + 2²

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Q: Question 4 (a) Solve the following: [²4x¹dx (b) Explain with the aid of a sketch how this value can…

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Q: QY/ Find the direction devivative of f(x,y) = x₁² + yet at the paint (2,1), by the dirction of V =…

A: We have to find the directional derivative.   According to our guidelines we can solve only one…

Q: Given ƒ (t) = L-¹ [³+4 f value of k is 3s+1 s³+4s²+s(k−3) if lim f(t) = 1, then the t->∞0 10

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Q: d=(-3,-2) and 6=(2,4). Represent a-6 using the head-to-tail method. Use the Vector tool to draw the…

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Q: c) Yp = Asin(2t) + Bcos (2t) Q13) The general solution for y' = 6y²x, is: a) == 3x² + c b) = x² + c…

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Q: Determine the first four terms in the binomial expansion of (-3-2x¹).

A: Here we have to open the binomial expansion.

Q: Find the final value of the system corresponding to

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Q: The Laplace transform of signal xi(t) is shown below. Determine the initial value x(0)

A: Above question is solved.

Q: cos-¹(2x+5), then dom(f) = = If f(x) = x+3 (A) (-3,-2) L (B) [-3, -2] (C) (-3, -2] (D) (-1,1) (E)…

A: Doamin of a function:- It the set of input values where the function at the values…

Q: (b) Find d'y dx² where x + 2y = 1.

A: In this question, we want to differentiate the given expression two times.

Q: The x-component of the unit vector in the direction [1, -2, z] is. What is the value of z? O a) 1…

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Q: if X(z) is the z-transform then what is the z-transform of x(n) of x(n- ?6)

A: In this question, we need to find the z transform of x(n-6).

Q: 3 s²+1 6 s² + 1 Option 4 O * The Laplace transform of the x(t) is x (t) = 3 sint 3 s²+2 6 s²+2…

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Q: Identify the number of significant figures (sig figs) in each of the values. I sig fig 2 sig figs 3…

A: We can find the significant figures.

Q: Q1) L-1 a) cosht -1 b) 1 - cosht c) (cosh2t - 1) d)/(1-cosh2t) Q2) The general solution of y"" + 2y"…

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Q: Let ā (3, 5, - 4) and 6 = (1, 4, 3). (à − b ) × ( ã + b) =

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Q: Suppose f(x,y)=xex. At the point (2,0), in what direction is the directional derivative maximized?

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Q: *.The equation (y"+x3y'+y=sinx)is.............. differential equation Linear,2nd order, Homogenous O…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: PO: Given the surface 2 cos xexây 5 y a) find of the question of the tangent plane to the surface…

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Q: a-(-3,-5) and 6-(1,4). Representa + busing the parallelogram method. Use the Vector tool to draw the…

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Q: Given f(x,y)=x2y³-4y, find the directional derivative at the point (2,-1) in the direction of v=.

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Q: The particular solution In (x) = 3x + 4y, y(0) = 0 is A. e³x + 3e-4y = 4 B. 4e3x3e-4y = 3 C. 4e3x +…

A: Topic = Differential equation

Q: axb=2x2 X X What can you say about band ? a) Their magnitudes must be equal Ob) Their directions and…

A: Given.

Q: a b 3. Write the scalar equation of the plane with normal vector = [5,-1,-2] and passing through the…

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Q: 4x* dx

A: We need to solve the following. So,            ∫-224x4dx=4·∫-22x4dx=4x55-22=4·645=2565

Q: Given the function f(x) = {2ª 2x x 2 which statement is FALSE at x=2? O The derivative from the…

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y' + 15y = 2 sin(3t), y (0)…

A: Let's solve diffrential equation by using laplace transform.

Q: Solve the following system: 2x + y - 3z = -3 x + 3y - 4z = 11 x + 8y-9z = 5 (2,-1,0) no solution

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Q: Solve the following Differential Equations with Laplace Transforms y" - 6y + 15y = 2 sin (3t), y (0)…

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Q: | 1) 2Ln(√x + 3) + 2Ln(√x − 1) = Ln(6x - 7) 2)3x+2 = 27

A: This question is related to solution of equations, we will solve it using given information.

Q: Show that the interval [a,b] is complete

A: Given

Q: Which of the following describes a function? 1. y=x² +1 x=y² +1 1 I only Oll only I and II Neither I…

A: We have to tell about which is showing a function

Q: A function g is given. Identify the parent function. Then use the steps for graphing multiple…

A: 10.The given function gx=15x-2.3-7.4

Q: he polar equation for circle x^2+(y- 3)^2 =9

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