12,512 Answered Questions for the topic calculus
Consider the following. y = 1/3x^3 + 8x + 1
Consider the following. y = 1/3x^3 + 8x + 1 a) Find the relative maximb) Find the relative minima
Suppose that the average cost, in dollars, of producing a shipment of a certain product is c(x) = 2000x+ 8000/x , x > 0
Suppose that the average cost, in dollars, of producing a shipment of a certain product is c(x) = 2000x+ 8000/x , x > 0A) Over what interval does the average cost decrease? (Enter your answer... more
The form of the partial fraction decomposition of a rational function is given. (2𝑥^2+4𝑥+26)/[(𝑥+2)(𝑥^2+9)]=𝐴/(𝑥+2)+(𝐵𝑥+𝐶)/(𝑥^2+9)
determine what A, B and C are equal to
Write out the form of the partial fraction decomposition of the function appearing in the integral: ∫(−7𝑥−181)/(x^2+9𝑥−22) 𝑑𝑥
Determine the numerical values of the coefficients A and B where 𝐴≤𝐵 and ∫(−7𝑥−181)/(x^2+9𝑥−22) 𝑑𝑥 = A/denominator + B/denominator
Suppose that 𝑓(1)=8, 𝑓(4)=7, 𝑓 '(1)=9, 𝑓 '(4)=−3, and 𝑓 '' is continuous. Find the value of the definite integral ∫𝑥𝑓″(𝑥) 𝑑𝑥 on the interval [1,4].
Find the functions Derivative and find the x-coordinates of the critical points
Find all relative and absolute maxima and minima. (Order your answers from smallest to largest x. Round your answers to two decimal places.)y = 4x2 − 40(x − 1)2/3 with domain (−4, 4)y has___ (x, y) = more
Find the exact location of all the relative and absolute extrema of the function.
h(x) = 3(x − 1)2⁄3 with domain [0, 2]
Find dy/dx y=1-sec(x)/tan(x)
Think one of the identities i have isn't right
The mean. The median. The quartiles. An stem and leaf diagram.
Part 1: Explain briefly, in the context of statistical analysis, what is: 1. The mean 2. The median 3. The quartiles 4. An stem and leaf diagram Hint: you can use examples, give descriptions,... more
use the formula y = -16t2 + vot + so
A rock is thrown from the top of a 120 ft. cliff with an initial velocity of 20 ft./sec.After 2 seconds, how far above the ground is the rock?
height of rect. box is 10 inches. the length inc. at rate of 2 in/sec ,width dec. at a rate 4 in/sec. whenlength is 8 inche and the width is 6 inches, find rate at which volume of box is changing.
the radius of a large balloon is increasing at a rate of 2 inches per second. how fast, in cubic inches per second is the volume increasing when the radius is 10.
Let f'(x)=4x^3-12x^2 a. identify where the relative max extrema of f occur. b.Find the intervals on which f is decreasing and increasing. c.find where the graph of f is concave up concave down.
A dog breeder has 40 feet to use for a rectangular dog run. If she puts the run next to the garage, she only needs to use the wire for 3 sides. What dimensions will yeild maximum area
(26) Compute the difference quotient, f(x+h) - f(x)/h , for the function f(x) = x^2, and simplify.
f(x+h) - f(x)/h = _________ (Simplify your Answer).
(19) Find the equation of the tangent line to the graph f(x) = 1/x^4 at x = 3.
The equation for the line tangent to f(x) = 1/x^4 at x = 3 is ________ (Answer).
(18) Find an equation of the tangent line to the graph of y = f(x) at the given x. f(x) = (Square Root)x, x = 16/25
What is the equation of the tangent line?___________ (Type your answer in point-slope form).
Evaluate the definite integral. ∫𝜋/4,0 (tan(x))^2 dx
(16) Find the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = x^4, x=3
What is the equation of the tangent line?____________ (Type an Equation).
(15) If f(x) = 1/x^7, compute f(2) and f ' (2).
f(2) = ________ (Simplify your Answer)?
(12) Find the derivative of f(x) = (Square Root)x at x = 1/144
f ' (1/144) = _________ (Simplify your Answer)?
(7) Use the power rule to find the derivative of f(x) = 1/x^ -22
f ' (x) = __________ (Answer)?