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...
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Calculus

4h

#### 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

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

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) =
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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]

9h

#### 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,...
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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

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

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

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