647 Answered Questions for the topic calc

11/08/21

need help with implicit differentiation

Here is the question:Find dy/dx using implicit differentiation.(3x^2+8y)/(4x+5y^2)=-22Here is the answer I got: (6*x^2 + 15*x*y^2 - 16*y)/(15*x^2*y - 16*x + 20*y^2)I know I need to First clear the... more
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11/03/21

Does anyone know the answer????
The terminal velocity of a 3×10^−5 kg raindrop is about 9 m/s . Assume a drag force FD=−bv.a) Determine the value of the constant b. Express your answer using one significant figure.b= _____... more
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10/31/21

eigenvalues and eigenvectors

That is right, you already stated teh value of E(x)^2 at the bottom being finite, so as you mentioned infinite - finite value is infiniteSuppose a phone company has two plans, regular and high... more
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10/30/21

Check each of the given numbers to see if they are solutions to each equation. Show your checks and summarize which are solutions and which are not:
a). n=4n+5 n=-3,-5/3,0,5/3b). m-2m2=-120 m=10,8,1,-2,-7.5
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10/30/21

List the Inverse of the Operations that were applied to y:
List the Inverse of the Operations that were applied to y:y3/12-7
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10/30/21

Consider the expression:
Consider the expression: x2(13-x)a). Evaluate the expression when x is -23. b). What objects are being subtracted? c). What objects are being multiplied?
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10/29/21

Simplify each expression (if it is already simplified, state that it is already simplified):
a). 4x8-y3+33/14zb). 4C-5C+6C-7C+8C2c). (4D)(-5D)(6D)(-7D)(8D2)d). -12(444cd5e6543/F-G)0-10x0e). (3xy2)10(x3y)2+(2x2)8(-7y6)4
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10/29/21

An oil tanker train car is in the shape of a cylinder (on its side).
An oil tanker train car is in the shape of a cylinder (on its side). The train car is 75 feet long and 8 feet 6 inches across (and so 8 feet 6 inches for the diameter). Approximate the capacity... more
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10/29/21

Looking at the houses for sale in a certain city:
Looking at the houses for sale in a certain city: 12 are listed at $300,000; 6 are listed at $400,000; 8 are listed at $500,000 and 2 are listed at $1,450,000. a) Find the mean, median, and mode... more
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10/23/21

Use implicit differentiation to find dy/dx without first solving for y

Use implicit differentiation to find dy/dx without first solving for y 3x^2+3x+xy=6dy/dxAt the given point, find the slope.dy/dx -(-3,-4)
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10/23/21

Focus Problem- Math
For 87 days in the spring and summer of 2010, British Petroleum's Deepwater Horizon spilled millions of gallons of crude oil into the Gulf of Mexico, resulting in one of the largest oil spills in... more
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10/23/21

Pleaseeeeeeee Helpppppppp
Find 𝑓(3) and 𝑓′(3), assuming that the tangent line to 𝑦 = 𝑓(𝑥)at 𝑎 = 3 has equation 𝑦= 9 𝑥+ 3. 𝑓(3)=  𝑓′(3)=
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10/15/21

Consider each given sequence start.
i). Classify each as arithmetic, geometric, and/or none of these. ii). Find the 28th term.iii). Find the sum of the first 7 terms, call it S7.a). 44,-6,44,-4,...b). 3/4,3/2,3,6,... (3/4 and 3/2 are... more
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10/15/21

Consider each given algebraic statement.
i). Classify each as an equation or an expression.ii). For each expression classify it as polynomial, monomial, binomial, trinomial, and/or none of these.iii). Also, for each polynomial: list each... more
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10/15/21

The side lengths of a square are tripled.
a). What is the length's multiplier? What is the percentage increase of the length?b). From the new (tripled) length, what percentage decrease would be needed to return to the original length? What... more
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10/07/21

Derivative Inverse Domain and Range Problem
Consider the function  f(x) = 9/(x-4) for x > 4f^-1 = 5(f^-1)'(5) = ????? Calculate and state domain and range of f^-1Use interval notation.f^-1(x) = (9/x) + 4 domain = ???range = ????
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10/07/21

Derivative Inverse Question
For each of the given functions f(x) , find the derivative (f^-1)'(c) at the given point c , first finding a = f^-1(c)f(x) = 3x+7x^15 ; c = -10a = -1(f^-1)'(c) = ????f(x) = x^2 - 15x + 77 on the... more
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10/04/21

Use the Squeeze Theorem to evaluate the limit lim x→10 f(x), if −1x + 110 ≤ f(x) ≤ x^2 on [8,12].
Use the Squeeze Theorem to evaluate the limit lim x→10 f(x), if −1x + 110 ≤ f(x) ≤ x^2 on [8,12].
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10/04/21

Evaluate the limit Calculus
((4+8(4^x)) / ((9-2(4^x)) as x approaches infinity
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10/04/21

Population Calculus Problem

The number, N, of people who have heard a rumor spread by mass media at time, t , is given byN(t) = a(1 - e^(kt)) There are 250000 people in the population who hear the rumor eventually. 25 percent... more
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10/04/21

Evaluate the limit question
((4+8(4^x)) / ((9-2(4^x)) as x approaches infinity
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09/30/21

Calculus Question
Let y=tan(2x+4) Find the differential dy when x=1 and dx=0.3 Find the differential dy when x=1 and dx=0.6
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09/30/21

Calculus problem

Let y = 2x^2 + 3x + 2 Find the differential dy when x = 2 and dx = 0.2 ______________Find the differential dy when x = 2 and dx = 0.4 ______________
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09/30/21

Calculus Question w/ Linear Approx
let y = 2(sqrt(x)) Find the change in y when x= 4 and change of x = 0.3 ______________Find the differential dy when x = 4 and dx = 0.3 _________________
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09/30/21

Calculus problem with Linear Approximation

Use linear approximation, i.e. the tangent line, to approximate  1/0.502 as follows: let f(x)=1/x and find the equation of the tangent line in slope-intercept form to f(x) at a "nice" point near ... more
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