Graph r= cos 15θ/16, what pattern of the graph we will get and explain what happen if the domain grows bigger? Thank you

r= e^cos θ -2cos4θ + sin^3 θ/4 What will be the interval for θ in order to get a butterfly curve?

The expression 1/30 (sin 1/30 + sin 2/30 + sin 3/30.....+ sin 30/30) is a Reimann sum approximation for...   a) ∫sin (x/30) dx from 0 to 1 b) ∫sin x dx from...

Let f(x) = 3x^2 - 5, x≤ 1  AND 6x+2, x>1 Which of the following are true statements about this function? Which are false? I. lim x→1 f(x) exists II. lim x→1 f'(x) exists III...

A manufacture has been selling 1350 television sets a week at $510 each. A market survey indicates that for each$10 rebate offered to a buyer, the number of sets sold will increase by 100 per week...

The base of a solid S is the region enclosed by the graph of y=√ln(x-1), the line x=2e, and the x-axis. If the cross sections of S perpendicular to the x-axis are squares, then the volume of S is...

A weight is attached to a rope 42 ft long. The rope passes over a pulley 22 ft above the ground. A man takes hold of the end of the rope and walks back at 10 ft per second holding the end at a level...

A landlord manages 50 apartments in a complex downtown and charges his tenants monthly. When the rent is $850 a month, all of the apartments are rented. For every$100 increase in rent, 10 apartments...

a particle is moving in a straight line which passes through a fixed point 0. the displacement, s metres, of the particle from 0 at the t seconds is given by    s=10+9t^2-t^3   find...

this equals to?

Two planes are each flying at a speed of 200 mi/h, one plane flying East and the other plane flying West. They will pass by within 300 miles of each other. At what speed were they approaching each...

Write following rational function in partial fraction form: [2] / [ (x^+1)^2 (x+2) ] Ans: A = -2/25 B = 4/25 C = -10/25 D = 20/25 E = 2/25

If a stone is thrown vertically upward from the surface of the moon with a velocity of 14 m/s, its height (in meters) after t seconds is h = 14t - 0.83t2. (Round the answers to two decimal places...