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

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?

I am studying for a pre-calc. final. I am stuck on the question y=3e^x-2. I have gotten the answer through desmos but am struggling to solve the problem on my own. Any help appreciated, thank...

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?

a sub n = (1/2)^-n

lim x → ∞ (nx+1) / ((x+1)!)

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...

lim x → ∞ (nx+1) / ((x+1)!)

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...

Kaitlin can't remember the formula for the area of a circle. She decides to approximate the area of a circle by circumscribing a regular 18 -gon around the circle. If her approximation of the area...

25x2+ 20x + 5y − 1 = 0

Find the following: d/dx of integral from t to t^2 of v(w)dw integral from t to t^2 of v(w)dw second derivative of integral from t to t^2 of v(w)dw Calculus...