18 Answered Questions for the topic Calculus, Derivatives

Calculus, Derivatives

09/10/18

How to solve for y
ln(y-38)=5t
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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... more
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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. 
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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?
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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... more
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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
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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
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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
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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
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Calculus, Derivatives

11/26/17

Calculus and Derivatives
Given the function y = 11 sin (7 pi x - 5 y) and the point (4,0). (A) Verify that the given point is on curve. (B) Find the equation of the tangent line to the curve at the given point. (C) Find... more
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Calculus, Derivatives Calculus Precalculus

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
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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,... more
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Calculus, Derivatives Calculus Calculus 3 Calculus 2

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... more
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Calculus, Derivatives Calculus Calculus 1

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! 
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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... more
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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... more
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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... more
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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... more
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