A cylindrical container has a volume of 150 cubic inches. The radius r of the container can be found using the formula r=sqrt(v/pie height) where V is the volume of the container and h is the height.  a. For what possible values of V and h would this function be defined?  b. If the radius is 2.5 inches, find the height of the container.

Q: A rock is launched vertically upward from the ground with a speed of 96 ft>s. Neglecting air…

A: Given that s(t)= -16t2 + 96t. a) the average velocity of the rock between t = 1 s and t = 3 s is:

Q: Derive the following function 3. y=x√x 4. y = ³√x + ³√x

A:

Q: A person standing at the edge of a cliff throws a rock upward from a height of 180 ft above ground…

A:

Q: Complete the equation involving x. Order terms like the physical situation, and don't simplify. A 2…

A: Let x feet should be on each side of the painting. Given the painting is 2 foot wide and the wall is…

Q: The safe load, L, of a wooden beam supported at both ends varies jointly as the width, w, and the…

A:

Q: Write the surface area as a function of (a) the radius r and (b) the height h.

A: Write the surface area as a function of (a) the radius r and (b) the height h.…

Q: The volume for a cylinder with radius r and height h is V = πr²h. If the diameter of the cylinder,…

A: In this question, we want to find the volume of cylinder in the terms of w.

Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: The function y=e−3x is vertically stretched by a factor of 4, reflected across the y-axis, and then…

A: Given

Q: STATE FUNCTION h(x) =e THE DOMAIN OF THE

A: Given: hx=e2x-5 we know that in x domain of x is x≥0

Q: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached at the…

A: Given: The figure shows a Norman window that has the shape of a rectangle with a semicircle attached…

Q: For what values of t was the height increasing

A: Given :- For a hot air balloon ride, the function H(t) gives the height of the balloon after t…

Q: Enter a formula representing the following function.   The gravitational force, F, between two…

A: we have to Enter a formula representing the following function. The gravitational force, F, between…

Q: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

A: In a study of eating behavior, the cumulative intake (in grams) of one individual was found to vary…

Q: The viscosity is linearly proportional with square root of temperature, such that u x (3) VT. Write…

A: Given viscosity μ α T

Q: 3(x + 1)(x-4) (x-1)² Determine the equation of the horizontal asymptote of f(x) (if any). Explain…

A: Given function is fx=3x+1x−4x−12. It can be written as follows fx=3x2−9x−12x2−2x+1 First we have to…

Q: The formula for the area of a triangle A = A(b, h) can be expressed using function notation as A =…

A: The function is defined as a rule for taking input and providing an output. the general…

Q: determine the function described and then use it to answer the question. the surface area A, of a…

A:

Q: Rewrite each function in the form  y = A0eat,  for appropriate constants A0 and a. (Round A0 and a…

A: Given  y = -5(1.569)t-5 We have to rewrite it in the form y = A0eat.

Q: of the Following Function: f(x) cept

A: In this question we will use basics of calculus to find the domain ,asymptotes,holes,intercepts.…