647 Answered Questions for the topic calc

03/15/21

9.7: The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2500+70x−0.1x^2.​(A) Find the exact cost of producing the 71st food processor.​(B) Use the marginal cost to approximate the cost... more
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03/13/21

Solve this equation?
The demand for grass seed (in thousands of pounds) at price p dollars is given by the following function. D(p)= -3p^3-2p^2+1489Use the differential to approximate the changes in demand for the... more
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03/13/21

Find the critical numbers and when they are increasing or decreasing?
f(x) = x+8/x+2 What are the critical numbers if they are any? When is the function increasing? Or is not increasing? When is the function decreasing? Or is it not decreasing?
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03/13/21

Use the figure to sketch a graph of the specified vector.
v + 1/2ugraph of: v + 1/2u _____________________________________________________________________________top left: a, top right: b, bottom left: c, bottom right: d
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03/13/21

A triangular parcel of ground has sides of length 745 feet, 630 feet, and 580 feet. Find the measure of the largest angle. (Round your answer to one decimal place.)
= _______°
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03/13/21

Find the vector v with the given magnitude and the same direction as u.
Magnitude: ||v|| = 15Direction: u = 4i - 5jv = _______
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03/13/21

Find the component form and the magnitude of the vector v.
Initial Point: (5/2, -1)Terminal Point: (2, 2/5)v = ______||v|| = _____
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Calc Calculus

03/12/21

If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0.

f(x) = x2 − 2x − 3 x + 4 ,    [−1, 3]c =  
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Calc Calculus

03/12/21

Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = 2 cos 𝜋x,    [0, 2]If Rolle's theorem can be applied, find all values of c in the open interval (a, b) such that f '(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem... more
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Calc Calculus

03/11/21

Identify the open intervals on which the function is increasing or decreasing. (Enter your answers using interval notation.)
y = x 36 − x2 increasing =decreasing =   
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03/10/21

If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.
If an object moves along the​ y-axis (marked in​ feet) so that its position at time x​ (in seconds) is given by f(x)=240x−16x^2​, find the following.​(A) The instantaneous velocity function... more
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03/10/21

9.5.89: The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7.

The total sales of a company​ (in millions of​ dollars) t months from now are given by S(t)=0.04t^3+0.8t^2+8t+7. ​(A) Find S′(t).​(B) Find ​S(6​) and S′(6) ​(to two decimal​ places).​(C) Interpret... more
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03/10/21

The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.
The total cost​ (in dollars) of producing x food processors is ​C(x)=2200+70x−0.3x^2.​(A) Find the exact cost of producing the 91st food processor.​(B) Use the marginal cost to approximate the... more
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03/10/21

Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.
Find the marginal average cost function if cost and revenue are given by ​C(x)=144+5.8x and R(x)=9x−0.07x^2.The marginal average cost function is C′(x)= ______________
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03/10/21

Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.
Find the marginal profit function if cost and revenue are given by ​C(x)=224+0.8x and R(x)=6x−0.05x^2.P′(x)= ________
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03/10/21

Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2
Find the profit function if cost and revenue are given by ​C(x)=128+2.4x and R(x)=8x−0.03x^2The profit function is ​P(x)= ________
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03/10/21

Find the marginal revenue function.
Find the marginal revenue function.​R(x)=x(17−0.05x)R′(x)= _________
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03/10/21

9.7.11 Find the marginal cost function
Find the marginal cost function.​C(x)=210+3.3x−0.07xC′(x) = ____________
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Calc Math Calculus

03/09/21

Assume that x and y are both differentiable functions of t and find the required values of dy/dt and dx/dt.
y = √x(a) Find dy/dt, given x = 9 and dx/dt = 5.dy/dt = (b) Find dx/dt, given x = 64 and dy/dt = 4.dx/dt = 
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03/09/21

Math Word Problem
A Farmer has 480 ft of fencing and wants to enclose two adjacent rectangular corrals for the pigs and goats. What size corrals will yield the maximum area.
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03/08/21

What is the absolute max and min value?
The function f(x, y, z)=(xyz)1/2has an absolute maximum value and absolute minimum value subject to the constraint x+y+z=7 with x≥0, y≥0, and z≥0. Use Lagrange multipliers to find these values.The... more
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03/04/21

Given the table below for selected values of f(x), use 6 left rectangles to estimate the value of (continued)
x: 1 , 3 , 4 , 6 , 7 , 9 , 10f(x): 4 , 8 , 6 , 10 , 10 , 12 , 16
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02/26/21

Summations that are functions of n
How do I calculate this with i being n/4 nf(n) = ∑ (i) i=n/4
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02/26/21

Summations that are functions of n

I can't figure out how to compute the closed-form sum for this, I'm not sure which rule applies to this, and with i not at 1 or 0. log(n)f(n) = ∑ (5n) i=3
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02/25/21

Find the unit vector in the direction of steepest ascent and descent at P? What is the vector that points in a direction of no change?
Consider the function f(x,y)=5x2-5y2-7 and the point (-2, -1).a) Find the unit vectors that give the direction of the steepest ascent at P?b) Find the unit vectors that give the direction of the... more
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