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Differential Calculus
Page 3
Questions (159)
A function has f’’(x) = 10 and has f’(4) = 0 and f(2) = 4. Find f(x)
4 answers
asked by
Dylan
1,180 views
Find the differential dy and evaluate dy for the given values of x and dx.
y=cosx x=pi/3 dx=0.05 2) y=e^x/10, x=0, dx=0.1 This is
1 answer
asked by
kelli
1,170 views
a spherical balloon's radius was measured to be 30 cm with a maximum possible error of 0.2 cm.
a) use differentials to estimate
2 answers
asked by
marisol
1,136 views
use the mean value theorem to find the c's on the open interval (a,b) such that fprime(c)= (f(b)-f(a))/(b-a)
f(x)= 3xlog(base 2)x
2 answers
asked by
Ashley
1,108 views
Determine a,b and c so that curve y= ax^3 + bx^2 + cx will have a slope of 4 at its point of inflection (-1,-5)
Help please!
2 answers
asked by
Sara
1,023 views
f(x)=xe^(-2x) with domain 0< or equal to x< or equal to 10
find all values of x for which the graph of f is increasing and all
1 answer
asked by
John
994 views
I am having trouble solving this problem:
"Find where the tangent line is horizontal for r=1+cos(theta)" I would really
2 answers
asked by
Anonymous
1,014 views
Please help me with this problem:
Find the number c that satisfies the conclusion of the Mean Value Theorem. f(x) = x/(x + 4) [1,
2 answers
asked by
Sarah
924 views
A function f is defined on the interval [0,4], and its derivative is e^sinx-2cos3x
a. on what interval is f increasing? b. at
2 answers
asked by
Anonymous
995 views
1. Find values of a,b,c, and d such that g(x) = a(x^3)+b(x^2)+cx+d has a local maximum at (2,4) and a local minimum at (0,0)
2.
1 answer
asked by
Aurora
845 views
Find the equation of the tangent line to the graph of
4y^2− xy − 3 = 0, at the point P=(1,1)
1 answer
asked by
Brooke
758 views
Let y=cos x+sin x/cos x -sin x. Find dy/dx
2 answers
asked by
Anonymous
708 views
Find any intervals where the function f(x)=−(5x+5sin(x)),0≤x≤2π is increasing/decreasing.
7 answers
asked by
Robert
706 views
The demand for the video game is modeled by the logistic curve, where q(t) is the total number of units sold t months after its
2 answers
asked by
Beth
699 views
Phosphorus-32 (P-32) has a half-life of 14.2 days. If 200 g of this substance are present initially, find the amount Q(t)
1 answer
asked by
Vanessa
700 views
Suppose f(x)= e^(-1/x). Graph this function in the window -5(</=)x(</=)5 and 0(</=)y(</=)10. Find the tangent line to y = f(x)
3 answers
asked by
George
669 views
can you please explain the chain rule in simple terms. thank you
2 answers
asked by
Duane
651 views
Let y = tan(5x+2).
Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when x = 2 and dx = 0.8
1 answer
asked by
bobby
629 views
Let f:[0,infinity) -> R be a differentiable function such that f'(x) >= f(x) > 0 for all x in [0,infinity). Construct a proof to
2 answers
asked by
Annoymous
628 views
One hour after x milligrams of a drug are given to a person, the change in body temperature T(x) (in degrees fahrenheit) is
1 answer
asked by
Lauren
570 views
My question is with a multi-part homework assignment that we got in class. The information given is :
A factory manufactures
2 answers
asked by
Noah
584 views
17) Consider the function
f(x)=3x3−3x2+4x+2 Find the average slope of this function on the interval (−3,5). By the Mean Value
2 answers
asked by
Hailey
570 views
the time required for one complete oscillation of a pendulum is called its period. if the length L of the pendulum is measured
2 answers
asked by
brandy
583 views
A particle moves along the x-axis with velocity
v(t) = -(t-3)² + 5 for [0,6]. a) Find the average velocity of this particle
4 answers
asked by
Erica
557 views
Use implicit differentiation to find an equation
of the tangent line to the curve y^2 = x^3 (26 − x) at the point (1, 5).
2 answers
asked by
Caleb
569 views
Use differentials (or, equivalently, a linear approximation) to estimate the given number.
sqrt100.4
3 answers
asked by
Morgan
552 views
Use differentials to estimate the amount of tin in a closed tin can with diameter 6 cm and height 14 cm if the tin is 0.046 cm
2 answers
asked by
Bob
537 views
Please, don't assume that we've been taught this stuff because we were literally just handed a packet and told to learn it
3 answers
asked by
Lindsay
538 views
On what intervals is the function f(x)=x^7−7x^6 both decreasing and concave up?
2 answers
asked by
Alyssa
524 views
A particle is moving along the curve y = 2 √{3 x + 7}. As the particle passes through the point (3, 8), its x-coordinate
2 answers
asked by
Carl
511 views
use rolle's theorem to show that the equation 7x^6-9x^2+2=0 has at least one solution in the interval (0,1)
2 answers
asked by
Anonymous
492 views
Could someone answer this question so I understand it. Thanks
Given the supply function p = S(x)=5(e^0.02x - 1) find the average
1 answer
asked by
Jules
513 views
Find an equation of a line tangent to y = 2sin x whose slope is a maximum value in the interval (0, 2π]
7 answers
asked by
Sara
500 views
dx/dy cos x sin y + x^5 = 11
i got dx/dy= (-cos x cos y)/ (-sin x sin y +5x^4) But the wolfram got (1- cos x cos y)/(5x^4-sin y
4 answers
asked by
Ifi
475 views
A ladder is intended to reach the wall of a building, but it must clear a fence with the length of d that stands at the distance
2 answers
asked by
manjeet
507 views
Find the equation of the tangent line and the normal line to the graph of the equation at the indicated point.
x^2-y^2=16, (5,3)
3 answers
asked by
Jon
493 views
How would you use set builder notation to show that sine is discontinuous at every interval pi?
2 answers
asked by
Anonymous
469 views
1. e^ln3 - 2lnx
2. 2(lnx)^2 + lnx - 1 =0 3. d/dx (e^x . e^e^x)
2 answers
asked by
Linda
490 views
Find an equation of the tangent line to the curve at the point (1, 1/e).
y = (x^3)(e^−x)
3 answers
asked by
Callie
459 views
Find F(x) such that F'(x) = sec^4 (x) and F(pi/4) = 0
F'(x) = sec^4 F(x) = (1/3)tan^3 (x) + tan(x) + C Now I don't understand the
1 answer
asked by
Lele
459 views
Question 1.
A stuntman falls from a hot air balloon that is hovering at a constant altitude,100 feet above a lake. A television
3 answers
asked by
Kevin
467 views
Given the population functuon P(t)= 50/ (1 + 4e^(-.1t) , fine the maximum rate of growth for this population where t is measured
3 answers
asked by
Anonymous
465 views
Let y = ((x^(2))+4)^5.
Find the differential dy when x = 4 and dx = 0.4 Find the differential dy when x = 4 and dx = 0.05
1 answer
asked by
bobby
436 views
Find the equation of the tangent line to the graph of f(x)=4ln(9x+2)at the point of x-coordinate x=2.
1 answer
asked by
JER
441 views
A particle moves in a straight line under a force such that its displacement
s(t), in metres, at time t seconds, is given by s(t)
1 answer
asked by
Mat
449 views
The farmer wants to use the 500 m to an enclosure divided into two equal areas, What is the total maximum area that can is
3 answers
asked by
gordana
458 views
y= [(x-3)/(x^2+1)]^2
find the derivative. I know i would start off with the chain rule. but would i then continue on and use the
1 answer
asked by
Aaron
478 views
Implicit Differentiation question
x^y = y^x I was wondering if I was right in the steps I was taking first was to take the Ln or
3 answers
asked by
Daniel
468 views
Differentiation of tan x using first principle method
1 answer
asked anonymously
10 views
find the difference quotient for f(x)=√x+2
1 answer
asked anonymously
24 views
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Parent Categories (7)
Algebra
Calculus
Calculus (or Analysis)
Exponential and Logarithmic Functions
Functions
Geometry
Mathematics