CD is a parallelogram with vertices A(0, 2, -3), B(2, -1, 4) and C(-3, 1, 2). Find the angl een the 2 diagonals.

Q: Find the integration of the following functions COSX 1) dx 3+8sinx 2) fx tan(x² + 1)dx

A: In this question, we want to solve the given integrals.

Q: Use a graph of the function to estimate the slope of the tangent line at P. (This slope represents…

A: It

Q: The area bounded by the parabola y² = 4x and the line y = 2x - 4 is equal to {A} 7 sq. units {B} 9…

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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: For the function whose graph is shown below, at which value of x is the graph continuous and…

A: We know  Function differentiable if it is continuous through out its domain   At sharp/corner points…

Q: Given the function g(x) = 6x³ + 27x² 72x, find the first derivative, g'(x). g'(x) = 0 when x = -4,…

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Q: * ?What is the z-transform of the following finite duration signal x(n)-(2,4,5,7,0,1)? x(z)=2+ 4z…

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Q: Consider the utility of a consumer consuming two goods, the quantities of which are x and y. His…

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Q: 6. Find the symmetric equation of the line parallel to ở = (1,4, 6) + t(−2, 4, 7) that intersects…

A: Given problem:- 6. Find the symmetric equation of the line parallel to r = (1,4,6) + t(−2, 4, 7)…

Q: Let f(x) = 2.5x² - 2.2c. Use the difference quotient and h = 0.001 to estimate the slope of the…

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Q: Determine whether the series converges, and if so find its sum. If the series diverges, indicate…

A: We have to find the series is convergent or not and find the sum also.

Q: Find the tangent line to f(x) = ax³ at x = -1. Assume that a is a positive constant. ***

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Q: Given: y = x - sin(2x) Find: dy dx 0 - cos²x 2 ○ - sin² x 01+ cos²x O sin²2 X

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Q: Q19) The general solution of 2x2y" + 3xy' - 15y = 0, is: a) y(x) = ₂x² + ₂x³ b) y(x) = C₁x + c₂x-3…

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Q: Use the Laplace transform to solve the given initial-value problem. y'' − 4y' + 4y = t,    y(0) =…

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Q: f(x) = 120x0.80

A: You must have an idea about basics of derivative in order to understand this problem.

Q: Find f(t). ℒ−1{9s / (s - 4)2}

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Q: If X(z) is the z-transform of the signal x(n), then what is the z- ?transform of the signal x(-n) x…

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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: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: s shown in the required reading or videos ove that the harmonic series below diverges ithout using…

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Q: 3) Find the intervals where the function is increasing and where it is decreasing. f(x) = x² - 6x²…

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Q: Show that the operators T and T₂ from 2 R² into R² de fined by T₁: (F₁) √₂ ) → (9₂9₁) and T2=…

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Q: If you apply the limit comparison test to assess convergence 1 - to which of these series would you…

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Q: f(x) = 4x5 (12x² + 15x + 3)

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Q: 1. f(x) = 4x² (8x + 1) 2. f(x) = (100x² + 25x)(10x² − 15x) 3. f(x) = (2x + 1)(4x + 3) (5x - 1)

A: Let's solve all given derivative by using product rule.

Q: Integration of { 8t^7dt

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Q: Evaluate limo (1-x) a O-1 00 01

A: Given problem:-

Q: P1: Calculate the area bounded by the curves: A. y = x² and y² = x.

A: Since you have posted multiple questions which are not interlinked i can do first question(area-A)as…

Q: = Calculate the area bounded by the curves: A. y = x² and y² = X.

A: Note: Hi and thanks for your question! Unfortunately, as per our guideline, only one question should…

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: 6 Find the area enclosed by the given curves. * y = x³ and y = 4x

A: As per our guideline we are allowed to answer only one question. Kindly repost the other question as…

Q: A piece of cardboard measuring 14 inches by 9 inches is formed into an open-top box by cutting…

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Q: Consider the improper integral In(x)da. To evaluate this integral we will follow the steps below.…

A: We need to find integral value. As per Bartleby's guidelines we can solve one question. Please…

Q: () without a calculator. We will do the followings: (1)- 1.2.3.4 7.6.5.4 1.2.3.4 I will introduce a…

A: Using definition of combination

Q: So d e2x 0 e2-5 dx is equal to

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Q: 2X 4) y = C₁ + c₂e² c + C3 e-3x

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Q: 1- Calculate the area of the region which is bounded by: y = (x - 1)², y = (x-4)2, and y = 0.

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Q: Which of the following five series n+1 1 Σ nvn n=1

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Q: Instructions 1. Write your complete solution for each item. It should be handwritten. 2. Make sure…

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Q: 9- a) Evaluate the following integral. b) Find the indefinite integral: S S₁² 5Cos(t) 3.Sin5 (t)…

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Q: lim x→0 1 x + S x 6571- S Ans 50.

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Q: 2 S-2 2 S+2 Option 3 Option 2 O *The Laplace transform of the x(t) is 2e21 1 S - 1 s²+1 Option 1 O…

A: Let's do laplace transform of given function.

Q: Verify that the indicated function y p(x) is an explicit solution of the given first-order…

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Q: How many square units is the area enclosed by y + 2x - 5 = 0, y = 4x - x² and x² - 4y = 0 ?

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Q: Investigate if the integral dx 1-x is convergent or not. Justify your answer.

A: Divergent

Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: Find the area of the region described. 4 1 The region bounded by y = and y = - 1-x 2

A: To find the area bounded by the curves y=43&y=11-x2. The region bounded by the curves is:

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

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Q: Differentiate the following expression: y = x² cos 4x

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