Find a plane containing the point (5,-6,-3) and the line x(t) y(t) z(t) = = = - 4 - 7t 1 -8t 3 - 4t

Q: integral

A: We will find the solution m

Q: 3.1 Let f(x) be a differentiable function with f(4)= e and f'(4)=-e. Determine the linear…

A: As per our guideline, we supposed  to answer the only the first question  Given f(4)=e   and…

Q: integrate [(x csc^2 (2x) - x cos (2x)] dx

A: Given problem:-  ∫ [(x csc2(2x) - xcos(2x)] dx

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: 5.1 Let a eR, v = 4ai - 6j and w=a²i +3j. Determine all nonzero values a, if any, so that is…

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

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Q: (x + 1, x 0 Can also be displayed as: x + 1 when x 0 f(x) = Is f(x) continuous at x = 0? Why or why…

A: We have to find the solution of continuity

Q: Find the arclength of the curve y = 3x² + 5 on [0,3].

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Q: (2x-1)dx 2x³-x²-27x + 30

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

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Q: Solve the following initial value problem for r as a function of t d²r Differential equation:…

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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: Let a = and b = . Find - à - b.

A: Given :a→=5, -5, -1b→=-4, 4, 0

Q: Find the final value of the system corresponding to 3 (s + 1) y (s) = s (s²+2s + 10) 2 O 0.3 0.6 O 3…

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Q: S I (s - 2)² Option 4 Option 3 ★ Find laplace transform for -| (s-3)2 Option 1 O Option 2 O

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Q: 6 sinh t 6 cosh 51 Option 2 O Option 3 * What is inverse Laplace for 6s s² +25 6 sint 6 cos 5t…

A: In this question, we need to find the inverse Laplace of given function.

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: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y + 4…

A: Given problem:- Calculate the volume of solid of revolution when the region bounded by y = √(x + 4)…

Q: integrate using partial decomposition (y^2)/(y+1)^2(y-1)

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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: Obtain the an = $ sum of the series. (sin-—-sinn) W

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Q: a) b.) O F+ x dx (x³ +1) ³ 3 Sinx sin 2x dx 2 cos x

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

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: 3 M8 n=1 (Inn) 13/2

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Q: (e) If f and g are differentiable then, d -f(g(x)) = f'(g(x))g'(x) dx True False

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Q: 2x³ − 45x² + 300x + 6 has one The function f(x) = 2x³ local minimum and one local maximum. This…

A: Given: Axis interception points of 2x3-45x2+300x+6:  X Intercepts: -0.01994…, 0, Y Intercepts: 0,…

Q: 3 i(z³+1³) lim z→-i_z²+1

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Q: State, with explanation, the truth value of the following statements. x²-x-2 a) x = 2 is a vertical…

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Q: Find the volume of the region of R^3 bounded by the paraboloid z=x^2+y^2 and by the planes…

A: Concept: Let us take D to be a bounded, closed space region. Let a and b represent real numbers,…

Q: S dy ² + 4y+20) ²

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Q: y" + 3y = 18x², y(0) = -3, y(0) = 0

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Q: 1. Find the first 3 terms in the Maclaurin series for the function f(x) = sin2x 2. Find the first 3…

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Q: 4. The equation of a plane is [x, y, z)=[-1,-1,1]+s[1, 0, 1]+[0, 1, 2]. Find the - intercept of the…

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Q: Calculate the direction of P₁P2 and the midpoint of line segment P1P2- P 1(3, 4, 6) and P 2(6, 0, 1)…

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Q: (D4 - 1)y = 7x².

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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: 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 value(s) of k for which the following planes will intersect in a lin x+y+z=0 2x + 3y -…

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Q: Determine whether the given function is even, odd, or neither. f(x)= x³ +sin 2x

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

A: we have to find the value of integral ∫-22 4x4  dx

Q: Write the matrix below as a product of elementary matrices 1 2 3 235 1 05

A: The objective of the question is determine elementary product of matrices ,of the given matrix

Q: Find dy/dx for: y cosy = xy Y O -y sin y+cos y-x Y cos y-x Y -y sin y-x 1 cos y-x O O O

A: Given :y cosy= xy

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

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Q: Consider the following. √u-5(6 - ² + ¹0) du Simplify the integrand by distributing u-5 to each term.…

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Q: A 15-foot ladder is leaning against a mango tree. If the top of the ladder is sliding down the tree…

A: We need to find rate of bottom of ladder moving.

Q: Determine dx for each of the following functions. Do not simplify the dy expressions after applying…

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Q: P3: Calculate the volume of solid of revolution when the region bounded by y = cos x and x² - y - 2…

A: We have to calculate the volume.

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: Determine the maximum and minimum values of the function f(x)= ex cos²x on the interval x= [0,2π].

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