Given the vector function r(t) = (t, et, 10), find the tangential component of acceleration aT when t = 7.

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Q: a) Find the first and second derivatives. f'(x) = f"(x) = b) Identify the graph that displays ƒ in…

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Q: Find the speed of the curve ² r(t) = (4t² + 2, 7t — 5, t³ + 2t) at t = 2

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Q: Consider the following. f(x, y, z) = 4 z=4-x XX E ZA z=4+x z=4-y² y

A: f(x,y,z)=4

Q: Consider the following planes. x+y+z= 8, x + 3y + 3z = 8 (a) Find parametric equations for the line…

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Q: a) y = (3x²-7) 5 (x²+x)9 7x b) x= c²² Sin²x (x²_qx+5)³ C) y = (Sinx) Sin - ² x 3

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Q: Use a calculator to find the approximate value of the following expression if possible. Express your…

A: As we know that the domain of the Sin-1 x is  [-1 , 1 ] so use the concept.

Q: Find dA, the estimated change in surface area, if the radius of a sphere changes from 7 to 7.2.…

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Q: (1) 2x-3y+6z=8 (2) x+y-2z=3 (3) 3x-2y+ 4z = 1

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Q: Find the volume of the parallelepiped determined by the vectors a, b, and c. a = b = c =

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Q: Use Lagrange multipliers to find the shortest distance from the point  (3, 0, −7) to the plane  x +…

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Q: 21. If (f(x) + 4) dx = 10,] f(x) dx = 5 then f(x) dx = a. 6 b.-6 c. 4 d.-3 e.

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Q: What is h' (a) when h(x) = arccsc(-3x)?

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Q: The vertical asymptotes of the tangent function are located at the same values of x for which the…

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Q: Suppose f(x) = 4x² - 4x + 5. Find: (a) f'(2) = (b) The equation of the tangent line to f(x) at the…

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Q: T Scos (1-3) +725 P(t)= 75 cos 3. The function approximates the population, P(t), of rabbits in a…

A: The given function  approximates the population of rabbits in a nearby valley where  represents the…

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A: Inverted cone is filled with sawdust.

Q: Starting with the formula for the difference of cubes, which pair of steps can be used to show that…

A: Formula for a3-b3 = (a-b)(a2+b2+ab)

Q: 2) x² + x²³₂²2²-√²³=5πe b) xsiny-y(os₂x = xy C) (os(xy) = sin(xy) 3.2

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Q: A volume is described as follows: 1. the base is the region bounded by y = e ^3.3 x , y = 3.3 x^2 +…

A: We have to find the volume of the given object.To find the volume of the given object first we will…

Q: Apply the U₁ = U₂ = B = {(0, 1), (4, 9)} Need Help? Read It tion process to tranISTO given basis for…

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Q: 2 2 Find the volume of the region bounded above by the paraboloid z = 3x +y and below by the square…

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Q: Find the first and second derivatives. f'(x) = f"(x) = A. FI b) Identify the graph that displays f…

A: The given function is .

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Q: Use the given transformation to evaluate the integral. 1168 8x² dA, where R is the region bounded by…

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Q: Connecting the Start Capacitor The spacecraft is nearly ready for takeoff! The last task is to…

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Q: Find the area of the parallelogram with vertices A(-4, 5), B(-2, 8), C(2, 6), and D(0, 3). 18 X

A: Let the four vertices of the parallelogram is given by A, B , C , D then the area of parallelogram…

Q: 4. A rectangular pigpen will be surrounded by a fence and then divided into two sections by a block…

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Q: (x - 2)² + (y + 1)² < 16

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Q: Determine the corresponding ordered pair of the point on the unit circle for the following angle:…

A: Given that circle is a unit circle.

Q: 365 287

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Q: Calculation of curl. Find curl v if v equals to [-1/4y, 4x, 0]

A: The given vector is To find the .If be a vector then .

Q: The domain of sin ¹(x) is [-]. O True O False

A: We know the Range of Sine function so we can relate the domain of given function in the question.

Q: Use a linear approximation of f(x) - Provide your answer below: cos(x) at x = 5 to approximate…

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Q: A ball is thrown vertically upward from a height of 6 feet with an initial velocity of 80 ft/sec.…

A: Using calculas we can solve the given question.Note : According to our guidelines, we can answer…

Q: A gasoline-driven lawnmower has a blade that extends out 1.5 ft from its center. The tip of the…

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Q: Suppose f'(x) is continuous over an interval a ≤ x ≤ b, and a <c< d <b.

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Q: Evaluate the double integral over the given region R. 3 yx 2 y +1 SS= R dA R: 0≤x≤6, 0sys1

A: It is iterated double integral, so, you can write any dydx or dxdy order.

Q: A clock with an hour hand that is 12 inches long is hanging on a wall. At noon, the vertical…

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Q: 3. The part of the plane z = 1+ y that lies above the cone z = √2x² + 2y²

A: The part of the Plane z = 1+y that lies above the cone     z= √(2x^2  + 2y^2)

Q: Nachelle has a points card for a movie theater. • She receives 50 rewards points just for signing…

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Q: 3. 2x-1

A: Given data

Q: Consider the following. p(x) = f(x)g(x) 9(x) (x)/ g(x) 10 8

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Q: The limit given below represents the derivative of some function f at some number a. What function…

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Q: Suppose Find: (a) (fg)'(5) = (b) (f/g)'(5) = (c) (g/f)'(5) = = f(5) = 2 g(5)= 3 ƒ'(5) = 3 g'(5) = 7

A: Given the information Then we have to answer the following...

Q: Determine the concavity of f(x) 2π < x < 2π. - X = e cos x over the interval of

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density…

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Q: Can you help me solve 23 using integration by parts? Thanks!

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

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Q: Find d when = y = log(a) log(x) - 1

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