12,512 Answered Questions for the topic calculus

Calculus

1h

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
Calculus

2h

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
Calculus

4h

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 
Calculus

4h

Find the average value of f(x)=x^2 on the interval [1, 5]

Calculus

5h

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
Calculus

6h

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]
Calculus

6h

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
Calculus

10h

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?

19h

(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).

20h

(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).

20h

(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).
Calculus

20h

Evaluate the definite integral. ∫𝜋/4,0 (tan(x))^2 dx

20h

(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).

20h

(15) If f(x) ​= 1/x^7, compute f(2) and f ' (2).

f(2) = ________ (Simplify your​ Answer)?

20h

(12) Find the derivative of ​f(x) = (Square Root)x at x = 1/144

f ' (1/144) = _________ (Simplify your​ Answer)?

20h

(7) Use the power rule to find the derivative of f(x) = 1/x^ -22

f ' (x) = __________ (Answer)?

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