Find the dr/d(theta) for:
r = (theta)sin(theta) + cos(theta)

Answers

Answer 1

Answer:

$r=\theta\sin\theta+\cos\theta$

$(\mathrm dr)/(\mathrm d\theta)=(\mathrm d(\theta\sin\theta))/(\mathrm d\theta)+(\mathrm d(\cos\theta))/(\mathrm d\theta)$

By the product rule,

$(\mathrm d(\theta\sin\theta))/(\mathrm d\theta)=(\mathrm d(\theta))/(\mathrm d\theta)\sin\theta+\theta(\mathrm d(\sin\theta))/(\mathrm d\theta)=\sin\theta+\theta\cos\theta$

and

$(\mathrm d(\cos\theta))/(\mathrm d\theta)=-\sin\theta$

So we have

$(\mathrm dr)/(\mathrm d\theta)=\sin\theta+\theta\cos\theta-\sin\theta$

$\implies(\mathrm dr)/(\mathrm d\theta)=\theta\cos\theta$

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PLEASE HELP WITH MATH AND BEST GETS BRAINLIEST. PLEASE SHOW WORK.

Answers

A.

earnings=bonus+pay
pay=pay per hour times number of hours
h=number of hours
9.5=pay per hour
pay=9.5h
bonus=60

earnings=9.5h+60
at least 460
greater than or equal to 460
9.5h+60>460

B. solve for h
9.5h+60>460
subtract 60
9.5h>400
divide oth sides by 9.5
h>42.1
at least 42.1 hour (about 42 hours and 6 minutes, if the job is rounding, then say 43 hours)

A. 9.5h+60>460
B. 42.1 hours

a large pizza has eight equal slices and costs "x" dollars. write an algebraic expression for the cost (in dollars) of each slice of pizza. a) 8 x b) x + 8 c) x 8 d) 8 x

Answers

Answer:

x/8

Step-by-step explanation:

Answer:

x/8

Step-by-step explanation:

total price / number of slices = price per slice

the base of a regular pyramid is a hexagon whose perimeter is 84 feet. the volume of the pyramid is approximately 4,677.85 cubic feet. find the height of the pyramid.