1 Find parametric equations for the path taken by a point the distance between the centre and the outside on a rolling wheel of radius 4.

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: To find the parametric equation of a line that passes through (-1, 4, -6) and is parallel to given…

Q: 1. Find the following definite integrals: 1 (a) / 3r*(3x* – 2)5 dæ 1 r2 (b) - 2² – 1 xe dx

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Q: Bernoulli's Equation Solve:

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Q: S sin-1 x dx A C V1- x2 + C + /1- x2 + C sin x sin x 1 V1 – x² + C D V1- x² + sin x sin x B D E None…

A: To evaluate the given integral.

Q: Determine whether the lines are parallel or identical. x - 5 _ y + 2 z + 4 4 -5 x + 7 y – 13 z + 13…

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Q: 5. (xe*dx (1+x)2

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Q: Find sin( ). (Hint: Use the half-angle formula.) arccos 3/10 V10/10 3V10/10

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Q: Determine whether the area of the given unbounded region is finite. If the area is finite find it.…

A: The region is bounded by curves y=1x4 , x=1 and y=0 which is to the right of the vertical line x =1.…

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x and y are positive. Minimize…

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Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (1, 0,…

A: This question is based on finding equation of tangent plane of function having two variables at a…

Q: g (x) .5 Compute g(1) + g' (1) + g" (1) + g" (1) + g'

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Q: Use the triple scalar product to find the volume of the parallelepiped having adjacent edges u, v,…

A: To find volume of parallelepiped.

Q: Find the component form of u + v given the lengths of u and v and the angles that u and v make with…

A: topic - vectors

Q: Find the absolute extrema of the function, if they exist, over the indicated interval. Also indicate…

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Q: Evaluate the indefinite intgral Answer in cimpicst farm (pactored form J40+4t-2 dt.

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Q: Use the figure to estimate the limits if they exist. 30+ 20 10 -10 10 20 30 If the limit does not…

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Q: O 2y = x In cx?

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Q: Evaluate the following indefinit 4. Ssin'x cos*x dx

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Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

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Q: Find an equation of the line that passes through the points. (1, -2), (3, -2) Sketch the line.

A: Note to student : Hi. Thanks for posting your queries. But as per our Bartleby Answering Policy, we…

Q: ydx=(ye^y- 2x)dy

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Q: 1. Determine whether the following integrals converge. (a) 1 dx x3

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Q: 3 Given y = (1– V2x)°; Find dy/dx O dy :-3(1 – v22)? de O (E) None of the choices O dy 3(1 – V22)°…

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Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (;+ 2x*) Зx2 + 7х + cos (x)…

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Q: Find the gradient of the function at the given point. In(x2 - y) - 6, (2, 3) Z = Vz(2, 3) = %3!

A: To find out the gradient of the function at the given point..

Q: nd the area of the region under the graph of f(r) = 2r² – 4x + 2 on [-2, 3].

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Q: Find all extrema for f on the given interval. f(x): xE[-1,3] x+3

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Q: 2. Let g (x, y) = 2a² – y² . Compute g (1, 2), g (2, 1), g (1, 1), g(–1, 1), and g (2, – 1). - £(1…

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Q: b/ Find the solution to the homogeneous differential equation below dy x²+y² dx 2xy

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Q: Ap- cos 0 +1 2. Solve the initial value problem. f'(x)= e²* – sin 4.r; f(0)=2 -

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Q: 5. * 1 dx х (In x)3 1 + C 2 (In x)² 1 + C 3 (In x)2 A C 1 + C 2 (In x)? B D z+C 3 (In x) O A В E…

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Q: 3. 2 3. 4 7. To find the blue shaded area above, we would calculate: area Where: a = f(x) = %3D area…

A: Consider the given figure below :

Q: If 3 h(u)dv = 13 and / h(v)dv = 6.1 5. what does the following integral equal? | h(v)dv = 6.

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Q: 14 what is 3. Given that f(x)dr f(u)dv? answer

A: This question is based on properties of definite integral.

Q: Find a possible formula for the graph. -8 -7 -6 -5 4 -3-2-1 5678 O g(x) = kx(x + 1)(x– 2) for any…

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Q: Find an explicit solution of the given initial-value problem. V1- y? dx - V1- x2 dy = 0, y(0) = . y…

A: Solve the following

Q: Express the limit lim > (7 sin (27) + 6)Az, over [2, 4] as an integral TL 00 1-1 Provide a, b and…

A: Formula :

Q: y = f(x) 3 Using the curve above, which of the below statement/s is true: O A. f is discontinuous at…

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Q: Find the directional derivative of the function at P in the direction of v. f(x, y, z) = xy + yz +…

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Q: Question Select your answer. A number is one more than thrice the other number. What is 1 the…

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Q: Evalu at e the in deffinite integral. 2

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Q: 2. -7-8X-x²

A: Use substitution method to solve this integration.

Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

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Q: dy Find for the following expressions: dx a) y = x5 In(3x) b) y = 2 cos (+ 2x³ c) 3x2 + 7x + cos (x)…

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Q: The graph shown below is f(x) = 2 cos x. If g(x) = Sřf(t)dt , find g '( 1 ). %3D 4 3- 2- 54 3 2 -1 1…

A: Use the Newton Leibniz Theorem and calculate the derivative.

Q: For what value(s) of z on [0, 7] is the value of f(z) = sin z +1a maximum?

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Q: Solve the elementary applications of Differential equation: 1. Suppose that the quantity of a…

A: 1. Suppose that the quantity of a radioactive substance originally weighing Xo grams decomposes at a…

Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: Use cylindrical coordinates to calculate the triple integral w S(x, y, z) dV for the function f(x,…

A: We have to find the integral using triple coordinates.