 # Fileclaine20jasmin20nacisdocumentsellaineie19820

• 392

Course Hero uses AI to attempt to automatically extract content from documents to surface to you and others so you can study better, e.g., in search results, to enrich docs, and more. This preview shows page 148 - 150 out of 392 pages.

[26/05/2020 12:16:32 AM]d. Perpendicular91. Find the slope of the line defined by c. 1Basic Engineering Correlation (Calculus Reviewer)1. The depth of water in cylindrical tank 4 m in diameter is increasing at the rate of 0.7 m/min. Find the rate at which thewater flows into the tank.d. 8.82. The volume of the sphere is increasing at the rate of 6 cm3 / hr. At what is its surface area increasing (in cn2/hr) whenthe radius is 50cm?b. 0.243. Find the height of aright circular cylinder of maximum volume, which can be inscribed in a sphere of radius 10 cm.b. 11.55 cm.4. find the area in the first quadrant bounded by the parabola y2 = 4x, x = 1 and x = 3c. 5.5955. Find the maximum point of y = x + 1/xc. (-1, -2)6. ___________ is the concept of finding the derivative of composite functions.d. Chain Rule7. Find the area bounded by the curve defined by the equation x2 = 8y and its latus rectum.b. 32/38. If y = x lnx. Findb. 1/x9. Car A moves due east at 30 kph, at the same instant car B is moving S 30o E with the speed 60 kph. The distancefrom A to B is 30 km. Find how fast is the distance between them separating after 1 hourc. 45 kph10. A box is to be constructed from a piece of zinc 20 sq. in. by cutting equal squarea from each corner and turning upthe zinc to form the side. What is the volume of the largest box that can be so constructed?a. 592.59 cu. in.11. Find the coordinates of the vertex of the parabola y = x2 - 4x + 1 by making use of the fact that at the vertex, theslope of the tangent is zero.d. (2, -3)12. Given the function f(x) = x3 - 6x +2. Fnd the first derivative at x = 2c. 613. If the first derivative of the function is constant, then the function is__________.b. Logarithmic14. Using the two existing corner sides of an existing wall, what is the maximum rectangular area that can be fenced bya fencing material 30 ft. long?
[26/05/2020 12:16:32 AM]b. 225 sq.ft.15. The velocity of a body is given by v(t) = sin(xt), where the velocity is given in meters per second and " t " is given inseconds. The distance covered in meters between t =1/4 and 1/2 second is close tod. 0.2551 m16. Differentiate y = ex cos x2a. ex(cosx2 - 2x sinx2)17. Three sides of a trapezoid are each 8 cm. long. How long is the fourth side when the area of the trapezoid has thegreatest value?c. 1618. Differentiate y = sec(x2 + 2)d. 2xsec(x2 + 2)tan(x2 + 2)19. A statue 3 m high is standing on a base of 4 m high. If an observer's eye is 1.5 m above the ground, how far shouldhe stand from the base in order that the angle subtended by the statue is a maximum.d. 3.71 m20. What is the area of the largest rectangle that can be inscribed in a semi-circle of radius 10?b. 10021. Find the partial derivative with recpect to x of the funcyion xy2 - 5y + 6d. y222. In the curve 2 + 12x - x3, find the critical points.

Course Hero member to access this document

Course Hero member to access this document

End of preview. Want to read all 392 pages?

Course Hero member to access this document

Term
Spring
Professor
christine erana
Tags
Chemical reaction, Sulfuric acid, RENZO LOUIS P GAPASIN
• • • 