17 Answered Questions for the topic Calculus, Derivatives

Calculus, Derivatives

07/12/18

#### Related rates problem

one leg of a right triangle is decreasing at a rate of 3 cm/sec and the otherleg is increasing at a rate of 4 cm/sec. At what rate is the area of thetriangle changing when the length of the...
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Calculus, Derivatives

05/22/18

#### the number of bacteria in a culture after t days is model by n=400[1-3/(t^2+2)^2]. Find the rate of change of N with respect to t when t=0?

Pleassssseeee Heellllppp me. This is a project grade. PLEASE.

Calculus, Derivatives

05/21/18

#### Let f and g be twice differentiable functions such that f'(x) ≤ 0 for all x in the domain of f.

If h(x)=f(g'(x)) and h'(2)=4, what (if anything) can you say about f, g, and h at x=2?

Calculus, Derivatives

04/29/18

#### Finding Velocity

A raindrop falls to the ground from the height 's' meters. After 't' seconds the raindrop is 's' meters above the ground where s(t)= 120 - 2t^2. Find the average velocity between 3 seconds and 4...
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Calculus, Derivatives

04/14/18

#### Find the approximate area under the curve y = f(x) = x for 0 ≤ x ≤ 1.

Find the approximate area under the curve y = f(x) = x for 0 ≤ x ≤ 1.
Definite integrals, growth rate problems

Calculus, Derivatives

03/22/18

#### suppose that a baseball is tossed straight upward and that its height (in feet) as a function of time (in seconds) is given by the formula h(t)=128t-16t.

find the instantaneous velocity at time t = 2

Calculus, Derivatives

01/29/18

#### Find an equation of the line tangent to the graph of f(x) at the point (−1, 7): f(x) =x^2+ 2x+ 8

Find an equation of the line tangent to the graph of f(x) at the point (−1, 7): f(x) =x^2+ 2x+ 8

Calculus, Derivatives

12/28/17

#### If y=ln(1-√1-x ) Prove 4x(1-x)y''+2(2-3x)y'+1=0

If y=ln(1-√1-x )
Prove
4x(1-x)y''+2(2-3x)y'+1=0

11/11/17

#### Pre-Calc Question

The position of an object at time t is given by s(t) = -9 - 5t. Find the instantaneous velocity at t = 4 by finding the derivative

Calculus, Derivatives Calculus

11/10/17

#### Math calculus derrivative question

The number x of printer cartridges that a store will sell per week and their price p (in dollars) are related by the equation x^2 = 1680 − 5p^2 If the price is falling at the rate of $1 per week,...
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11/02/17

#### Consider the curve C given by the equation

Consider the curve C given by the equation: C · · · √ x + √ y = √ a, where a is a constant, a > 0. Let (x0, y0) with x0 > 0, y0 > 0, be a point on C. If (x1, 0) and (0, y1) are x and y...
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10/03/17

#### Calculus: x^3+y^3=8xy. What is the equation of the tangent line at (4,4)

I'm confused on the steps of solving this problem. Any help would be greatly appreciated!

Calculus, Derivatives

09/22/17

#### Find all values of x for which the function is differentiable given a piecewise function.

Given the piecewise function
f(x) = {(x+1)2, x≤0
2x + 1, 0<x<3
(4-x)2, x≥3
find, all values of x for which the function is...
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Calculus, Derivatives

09/22/17

#### Find all values of x for which the function is differentiable (involves absolute value)

Find all values of x for which the function is differentiable.given f(x) = sin(|x|)-1, find all values of x for which the function is differentiable. How do I solve the question above? My teacher...
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Calculus, Derivatives

09/22/17

#### Find all values of x for which the function is differentiable given a cube root.

Find all values of x for which the function is differentiable.given f(x) = cuberoot(3x-6)+5 find, all values of x for which the function is differentiable. How do I solve the question above? My...
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Calculus, Derivatives

09/22/17

#### Find all values of x for which the function is differentiable.

given f(x) = (x³-8)/x2-4x-5m find, all values of x for which the function is differentiable.
How do I solve the question above? My teacher explained it today, but I was utterly and completely...
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