A calculator may not be used on the following questions. A particle moves in the xy-plane for >0 so that x(t) = r²- 5t and y(t) = Int. At time t = 1, the particle is moving Select one: a. to the left and up b. to the left and down C. ○ d. to the right and up to the right and down

Q: Find dy/dr. 3

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Q: t-1 dt

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Q: 2. Find y in terms of x if = 6x² – 2x and the curve passes through the point (1, 5). -

A: We have to find the value of x if dydx=6x2-2x and the curve passes through the point (1,5).…

Q: A drone flies with velocity v(t) = 3ti-fj+4k. When t = 1, the drone is at (3,2,2).

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Q: y = secx means where x and sys

A: Given, y=sec-1x

Q: Differentiate the followings. (x+ (i) y =

A: If given an expression of a function which is a multiplication of two separate functions. In order…

Q: c) Evaluate [| 4xy where D is the portion of x + y = 2 in the 1* quadrant.

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Q: dy Ex2: find for the following functions: dx a) y = (x² + 1)5 b) y = [(5-x)(4- 2x)]? c) y = (2x3 –…

A: According to guidelines we should have been able to solve only three subpart of the question

Q: Find dydx for the function y=3x.

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Q: Consider the parametric curve defined by 1 a(t) %3D y(t) = t² || What is the slope of the line…

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Q: (e) The instructor adds 4 points to the average exam score ofeveryone in the class. Describe the…

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Q: Q9// find the general solution (sec°x + (cotx)y)dx + (Insinx)dy = 0

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Q: Compute 3+r+1 dx x2

A: Given : ∫233x2+2x+1x2dx

Q: a projectile launched at t=0 (t is measured in seconds) follows a path given by x=30t, y=-5t^2+80t,…

A: Given, a projectile launched at t = 0 second that follows a path x=30t, y=-5t^2+80t where x…

Q: Find y in terms of x. dy dx 12x(3x 2 - 1)3, curve passes through (1, -3) A y= (3x 2.1) 4 B y = (3x 2…

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Q: 3) Find the function of y = 1) Reflect about the (2) Shift up (3) Shift X-axis 8 Units left 7units

A: The given function is y=x1) Reflect about x-axis2) shift up 8 units3) shift left 7 units

Q: xy2 = 8 at (2,2)

A: Substitute x=2 and y=2 in the given function xy2

Q: Find y". y = x(3x + 2)*

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Q: dy **+y = xy? ii. .2

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Q: Calculate the following integrals a) S .3 dx;u = x³ – 1 | Vx3-1 3x b) S dx; u = e3x +1 e3x +1 c) S *…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3. Evaluate ry? dz dr dy.

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Q: Find dy when r + y? = 5.

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