37. At a certain construction site, the rate at which dirt is being extracted from a hole (in tons of dirt per hour) by an excavator is is defined as D (t) = sin (t)cos (t) +t. At the same time, a dump truck is removing the dirt from the construction site. The rate at which the dump truck removes the dirt is defined as R (t) = sin(t)cos (t) +2. If the excavators begin digging and the dump truck begins removing dirt at the same time (t = 0), at what time is there no more dirt left for the dump truck to remove? Let 0 ≤t≤4. A. 2.449 hours B. 3.799 hours C. 0.892 hours D. 1.732 hours E. 3.464 hours

Q: 11) 60

A: Here I am attaching image so that you understand each and every step.

Q: 5.1 #7

A: Given that                  A=60-1054-403-3502-425, λ=5

Q: Find lim (x,y)→(12,3) xy cos(x – 4y). OS 1. –36 2. 36 3. 3 4. 0

A:

Q: 10) 21 68

A: We know that tan θ=Opposite sideAdjacent sidetan(68)=x21

Q: 72

A: here we will find value of x ,

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A: We can find the value of x as below

Q: 29 14

A: It's trigonometric question so I'm providing hand written solution for better understanding.

Q: 1805

A:

Q: 9. 12 54

A: Will use basic trigonometry to solve this. Particularly we will use sine of x.

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A: 5. In the given right triangle , the hypotenuse is 41 and the perpendicular length is 40. Apply the…

Q: 5. 20 52

A:

Q: 4) 37 12

A:

Q: In the diagram at the left below, PT is tangent to 00 and PN intersects 00 at J. Find the radius of…

A: Draw a perpendicular line PO. Join OT. To find OT=radius. Given PN = PJ + JN= 8+4=12, ON=4 ,PT=12

Q: 11 11 4. 64

A: Given: simplify the expression

Q: 4. 15 33,

A:

Q: 14 19

A: To find :- x  Given :- Base = 14 , Hypotenuse = x ,               and θ= 49°   By using…

Q: 3 19.21 11 11

A:

Q: The columns of Q were obtained by applying the Gram-Schmidt process to the columns of A. Find an…

A: Solution by using Gram-Schmidt process as follows :

Q: 29 33

A: