d . Suppose r and y are variables that satisfy the equation r? – y3 = 12. What is dx dy 4x3 dx¯3y ... dy 322 ... dx 2y dy 2r ... dy 3z* 4y3 ... da

Q: Example: Find speed and direction of r(t) when t=2 If r(t)=t³i+2t²j +5k

A: Given:   r  =t3i∧+2t2j∧+5k∧Speed can be given by,   v→,dr→dt=dt3i∧+2t2j∧+5k∧dtdr→dt=3t2i∧+4tj∧ ms-1

Q: 2. Select all of the equations that represent linear functions. Ay I By 2x |3D Cy = 22 2 DY Ey %3D…

A: To find:- Select all options that represents linear function

Q: dz and dy dz 3. If x? – 3yz2 + xyz – 2 = 0, find -

A: In this question we have to find the dzdx and dzdy.

Q: 5. Find for the equation ry – x²y = 2

A:

Q: 7x + 3y + 4z = 5, and 21x + 9y +12z = 13. %3D Neither

A: Given:7x+3y+4z=521x+9y+12z=13

Q: 3. Which point below would be in the solution set of the function y = x + 10 A (10, 0) В (0, 10) (1,…

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Q: Find the linear equation between (-1, 5) and (3, 2). a. y = -3/4x + 17/4 b. y = -3x + 4 c. y = 4x +…

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Q: d?y if y = 4lnx5 2

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Q: pt of y=x3-4x2+x+6 В. -3,—2. and 1

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Q: What is the equation in slope-intercept form of the ine that passes through the point (2,-2) and is…

A: To find The equation in slope intercept form of the line that passes through the point (2,-2) and…

Q: 22. Differentiate the following with respect to the variable x, giving your answer in a implified…

A:

Q: can not we find the answer in terms y=....?

A:

Q: dy If 32? + 5а2у? — 2у, then ,2,2 dx -6x A 20ху—2 - 10гу? — 6х 10г2 у - 2 В 2-6х —10ху? 10x?y…

A:

Q: Determine if the equation is linear. If so, graph the function. 1. 2x +y=4 xYX.Y) /2/(412) 82,8)…

A: If an equation is linear then the highest power of x is 1 and the equation can be written in the…

Q: 5. What is the y-intercept of y= 2x++7x3-4x2-27x-18? В. 4 А. 2 C. -27 D. -18

A: The solution is given as

Q: Q5. Check whether the following statement is true or false. d²y + y? = 0 is non- linear equation.…

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Q: 7. (2x + y + 1) dx + (4x + 2y + 7) dy = 0

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Q: Find an equation of the line perpendicular to the line y = -7x + 7 31 passing through the point (12,…

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Q: .What is the set of points given by (a) x² + 2xy + y² = 1 (b) x² + y² - 2x + 4y + 5 = 0?

A: To find the set of points satisfying the given relation.

Q: I. Determine the points of intersection

A: Given,                y=x2         and          y=x+1

Q: 2. Which line goes down from left to right? O A y = 2x+5 OB.y=2x-6 2c OC y = 2x 2x+ 20

A: The line which goes down from left to right has negative slope.

Q: Find y’'. 9. if y = (x² + x + 1)²

A: As per guidelines we have to solve the 1st one. Again upload for another solution

Q: 23. Which of the following equations is nou-linear in the variables z, and za- A. 14r +5z2 +2 I3 B.…

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Q: If y = 4/(2x – 1)3, find y” at x = 1. a. 190 b. 191 c. 192 d. 193

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Q: 6. Which equation describes a line with a y-intercept of 6? y = 6x Gy= x+6 Hy=2x+3 x-1

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Q: Find the approx. distance of the point (6, -3) from the line 2x – y +4 = 0 a. 6.5 units O b. 10.5…

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