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1. Find the y ´and y´ ´
1.4 x2 / 5 + y2 / 3 = 1
2. Find the y ´and y´ ´
2.4 x = 1 / (t + 2) y = (t / (t + 2)) 2
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.4 y = excosx, x0 = 0
4. Write a formula for an arbitrary n-th order of the specified function.
4.4 y = cosx
5. Solve the following problems.
5.4 Write the equation of the normal to the line √x + 4 at the point with abscissa x = -3
6. Solve the following problems.
6.4 The material point moves along the hyperbola xy = 12, so that its abscissa x uniformly increases with the speed of 1 m / s. How fast changes ordinate point when it passes the position (6, 2)?
1.4 x2 / 5 + y2 / 3 = 1
2. Find the y ´and y´ ´
2.4 x = 1 / (t + 2) y = (t / (t + 2)) 2
3. For this function, the argument y and calculate x0 y ´´ ´(x0)
3.4 y = excosx, x0 = 0
4. Write a formula for an arbitrary n-th order of the specified function.
4.4 y = cosx
5. Solve the following problems.
5.4 Write the equation of the normal to the line √x + 4 at the point with abscissa x = -3
6. Solve the following problems.
6.4 The material point moves along the hyperbola xy = 12, so that its abscissa x uniformly increases with the speed of 1 m / s. How fast changes ordinate point when it passes the position (6, 2)?
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- Added to the site 08.07.2025
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Detailed solution. Designed in PDF format for easy viewing of IDZ solutions on smartphones and PCs. In MS Word (doc format) sent additionally.
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