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: Q: Interpret the vate of change f y = (-2 Jn=+1 + 5) (45 -2) with Yespect to

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Q: Which point satisfies each of the following ine qualities? *+4y>-4 2x-y A. C0,-1) B. (31) C (0,4) D.…

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Q: P: loday is Montay What is ap? wnas ir (7x^2-3メソ)-(メ2+5)eaual to? what Is X-Y<32 in words?

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

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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

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Q: FIND THE INTEGRAL USING U-SUBSHI TUTION Hcochx cothtx dx Slebeh 2

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Q: Aregular octagon

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Q: Q.IA) Evaluate 2 (4) 4 cosy dydx

A: ∫02∫04-x2 4cosy4-ydydx We solve it by change of integration. In the above integration the strip is…

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

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Q: Transform the following point, using the given rule: (-3,8) Rule: (x,y)-> (x-8, y+2)

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: The relationship between x and y, where the purchase price of a good is x and the selling price is…

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Q: if it was, y- 2X COSX+ tanx2, and it's dy

A: Solve the following

Q: Construct the truch table for (pq) (rs)

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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: An F-curve has df = (12, 7). What is the number of degrees of freedom for the a. numerator? b.…

A: The degrees of freedom for the F-statistic is, df=(k−1, n−k). The F-distribution has two numbers of…

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

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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).

Q: 9 Give with an not example of T: W≤X →Y, to XT Ext. .R. boundedag. - keše bes

A: Please find the solution innext step this is an non-example of Tietze extension theorem in Topology.

Q: + 4z 53. Use (7.8) to evaluate dz around the circle |z – 2i| = 2. - z4 + 8z2 + 16

A: Given,  ∮z3+4zz4+8z2+16 dz  around the circle z-2i=2

Q: Haw J Express the fallasing function by Cartesian equationst 3K34tane Seco

A:

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.