Determine the angle between OR = (1,-2,3) and OT = (5,-3,2) %3D

Q: Find the determinant of the following: 2 0 41 1. I. -2 3 1 1 2 4 l4 4 2] 4. 4 5 -2 -3 4 5 4 61 2. -1…

A: A detailed solution is given below.

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A: Given:f(x,y)=tan-1xy

Q: = )* - a) Va' + 1) zVx +1 +C b) Va' + 1) - 2V +1 + C Q3: S dx%3D c) V + 1

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: n) Given that SinX=2/7, and X is in quadrant 2, find all 6 trig values of x

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Q: 2. If the acceleration function of a certain particle is given by a(t) = sech () tanh () – ei, find…

A: Given Data: a(t)=secht2tanht2-et2 Solution: Let v(t) be the velocity. We know that, dv(t)dt=at…

Q: Determine the Laplace transform of 2et cos (6t - T). CO 8-4 3/3 (금) s2-8s+52 s2-8s+52 ㅇ (-) -85+52…

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Q: Find 8. L-1 s²+4s+20 CamScanner

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Q: Find all the second order partial derivatives of the given function. -y? f(x,y) = xye O A. 2f = 2xye…

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-2x. (Use…

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Q: Graph each parabola. Identify the vertex, focus, directrix, endpoints of the latus rectum, and the…

A: The given equation is: y2-12y-16x-28=0⇒y2-12y+36=16x+28+36⇒(y-6)2=16x+64⇒4(4)(x+4)=(y-6)2 which is…

Q: Find the area of the region in question Area =

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Q: Solve 7 cos(2w) = 7 cos (w) – 3 for all solutions 0 < w < 2n w = Give your answers accurate to at…

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Q: Find an equation of the sphere whose endpoints of a diameter are (-2,0, 5) and (-1,2, 3).

A: We can find the equation of sphere as below.

Q: Find the general equation of the tangent plane to the surface x2 + y2 −2xy −x + 3yz = −4 at the…

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Q: Solve the initial value problem for r as a vector function of t. dr 9 Differential Equation: diz+…

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Q: I. Find the Laplace Transform of the given function using the definition of Laplace Transform a.…

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Q: 1. Evaluate the following integrals. dx Vx4 – 2x2 + 1 а.

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Q: -5x- 4 etermine an equation of the inverse of the function y = 6x +4 y = -5 -5x +6 C. リ= -4 6x-4 y =…

A: Given query is to find the inverse function.

Q: Approximate the area between the graph of f(x)=x^3 and the x-axis on the interval [3,5] by using a…

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Q: Use differentials to estimate the relative error in the lateral surface area of a right circular…

A: Relative error

Q: Consider f(x) = cos (x) ln(x +2). a. Find the local linear approximation of f(x) at æo (In 2 =…

A: linear approximation of function fx=cosxlnx+2, at point x0=0

Q: Find the curve whose slope at any point (x,y) is 6x^2−2x−5 if the curve is required to pass through…

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Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

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Q: Let W = (a + bxr +x? € P: a,b ER) with the standard operations in P2. %3D Which of the following…

A: W is not a subspace of P2 because 0 does not belong in W.

Q: In a race, Molly starts running from rest at a constant acceleration of 3 m/s. She is running in a…

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Q: An oil tanker aground on a reef is forming a circular oil slick about 0.1 foot thick. If the oil was…

A: We have to find dR/dt .

Q: State the discriminant of 6x2-2x+K

A: Quadratic equaton is  6x2-2x+K=0

Q: Solve the initial value problem for r as a vector function of t. dr Differential equation: = -…

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Q: 12 · x2 – 28 · x + 20 A B Let f(x) The partial fraction decomposition of f(x) where A, B, C E Z. (x…

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Q: d.x | – 2x² + 1 b.

A: To evaluate: I=∫x5x4-2x2+13dx

Q: ladder away

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Q: dy dx Jo 17 /289-: Change the Cartesian integral dy dx into an equivalent polar integral. Then…

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Q: Find f'(4.8)

A: Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: 1. Find the absolute extrema, if any, of the following functions on the given interval. (a) f(x) = 4…

A: Given:     a) fx=4-3x ; (-1,2]           dydx=ddx4-3x                   f'x=-3   There in no…

Q: In the year 1985, a house was valued at $110,000. By the year 2005, the value had appreciated to…

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Q: On what instance does the Chain Rule of differentiation applicable? Explain briefly

A: To explain when we should use chain rule.

Q: Find * S L-1 (s²–4s+13.

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Q: Evaluate the definite integral. e4 dx xylnx

A: We can evaluate the integral as below.

Q: Question 3 (. whether it is convergent or divergent (show all ) Test the following series your…

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Q: sin x ferentiate y = (x² + 1)°

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Q: 2. Give the symmetric equations of the line l perpendicular to the plane T : 5x – 2y = z+4 and…

A: The vector perpendicular to the plane 5x-2y-z=4 is 5i-2j-k This allows us to write the point vector…

Q: 2л + 3 dx 4г2 — 4х + 5

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Q: The function 3 satisfies the hypotnes Find all values of c that satisfy the conclusion of the…

A: Topic:- application of derivatives

Q: 1. Find the total differential dw. 2. w = re2u +e-V

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Q: The partial sum 1 +7+ 13 + .+ 175 equals Question Help: DVideo MMessage instructor Submit Question

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Q: x² Consider the function f(x) = =*. x2-1 (c) Find the intervals of concavity and the points of…

A: Given

Q: 2у — 4 dy 2 + 49 с.

A: To evaluate: I=∫2y-4y2y+2dy=-∫4y-2y2y+2dy=-∫22y-2y2y+2dy=-∫2y-12y+22ydy=-1ln 2∫2y-12y+22yln 2dy

Q: Find the Laplace Transform of the given function using the definition of Laplace Transform a. f(t) =…

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Q: Suppose f(x) = ex, xE[0, 1]. (a) Find the slope of the secant line connecting the points (x, y) =…

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Q: What is the absolute minimum value of the function f(x) = x' - 3x² on the interval [-2, 4] ? a. -4 O…

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