A translation was given by the rule: (x. )-(x-4. 7A point mapped with this rule would have an image that is (1) 4 units down and 7 units to the right of the onginal point (2) 4 units to the left and 7 units up from the onginal point (3)4 units to the right and 7 units down from the original point, A44ant up and 7 units to the left of the original POUT

Q: Find Valume x zO; Ekort the X3D2; 0 about the x- axis

A:

Q: Let F = (, , 2). Calculate div (F) and curl (F). (Use symbolic notation and fractions where needed.)…

A: We have to calculate  and .

Q: Find the dim U where -3 4 U = Span 1 -9

A:

Q: write an equatun q the une passes through (4.5, -li6) and' is per pendiaular to he wie dyfined by 5x…

A:

Q: Calculate the length of PQ where P = (-2,1,6) and Q = (-3,4, –1).

A: We will find the length of PQ→ in the following step

Q: The y-intercept will always have an x-value of 0. O True O False

A: Solution: yes it's true.

Q: the velumg of a Gale ungtrude) finm a agn by Caffing tolume of 54d a Tozt Ximia laca of Card toud…

A: We need to maximize volume.

Q: The figure shows the graph of y = ax²+bx+c. Suppose that the points (-h.yo). (0.0₁), and (h.y2) are…

A:

Q: d2y at the point (2,) 48. Given yax-i.find -1, find - at the point|2, ах x

A: Given:The function y2x2 = 1.The point (2,1/2).

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.