169 Answered Questions for the topic calc
Suppose that f(5) = 1, f '(5) = 5, g(5) = −4, and g'(5) = 7. Find the following values.
Suppose that f(5) = 1, f '(5) = 5, g(5) = −4, and g'(5) = 7.Find the following values.(a) (fg)'(5) (b) (f/g)'(5) (c) (g/f)'(5)
Given s = rθ. The end of a 30-inch pendulum describes an arc of 5 inches. Through what angle, in radians, does the pendulum swing? What is the correct second step?a. 5=30θb. 30=5θc. 5 = θ/30d. 30 =... more
Find θ to the nearest minute if sec θ = 1.563. Show steps.1. 39° 43' 2. 50° 17' 3. 39° 47' 3. 50° 13'
Find (f−1)'(a).f(x) = 3x3 + 2 sin x + 3 cos x, a = 3I got zero but it is wrong.
Average velocity calculus questions
An object moves on a line so that its position in meters at time t seconds is s(t) = sin(t).a) Find the average velocity over the time interval [1, 1+h]b) Estimate the instantaneous velocity when t... more
Vector (4,5,-1) is perpendicular to the plane that contains point A(2,9,6). Find the Cartesian equation of this plane.
I need to find the polynomial function of degree 3.
I need to find the polynomial function of degree 3. (3,-3) is the point provided and the zeros are 4 and 6.
Calculus word problem
Find the dimensions of a rectangle with area 216 m2 whose perimeter is as small as possible.smaller and larger values
Calculus word problem
What is the maximum vertical distance between the line y = x + 6 and the parabola y = x2 for −2 ≤ x ≤ 3?
graphing question calculus
f= (1/x^8) - (2x 10^8/x^4)Use calculus to find the intervals of increase and decrease and intervals of concavity (up and down)
Graphing question - Calculus
produce the graph of f : f(x)= 1+(1/x) +(4/x^2) +(1/x^3)Use calculus to find the intervals of increase and decrease and intervals of concavity(up and down).
MC Questions Calculus
(a) If f '(1) = 0 and f ''(1) = −3, what can you say about f?At x = 1, f has a local maximum.At x = 1, f has a local minimum. At x = 1, f has neither a maximum nor a minimum.More information is... more
What is the square root of 27x^3 divided by the square root of 3x (solve using the quotient rule)
Suppose that 2 ≤ f '(x) ≤ 3 for all values of x. What are the minimum and maximum possible values of f(8) − f(3)? ≤ f(8) − f(3) ≤
Calculus I question
If f(2) = 4 and f '(x) ≥ 2 for 2 ≤ x ≤ 7, how small can f(7) possibly be?
Absolute and Local max and min values of F
Sketch the graph of f by hand and use your sketch to find the absolute and local maximum and minimum values of f.f (If an answer does not exist, enter DNE.)f(x) = 3 + (x + 1)2
Use the change of variable formula evaluate the double integral ∫ ∫R 1/ (√1-x^2-y^2) dA where the region R is the part of the cartesian plane above the xaxis between the circles x^2+y^2=1 & x^2+y^2=4
Can you please draw the region as well so that I can get more clarification
Hello, I have correctly solved part a of the following question:a) find linear approx of (1+5x)^1/7 at x=2 and b)then use it to approx (11.005)^1/7I found that the linear approx is 0.0914*x+1.22but... more
chain rule question
if h(x)= sqrt(7+6*f(x)), where f(3) =7, f'(3)=4, find h'(3)
Linear approx questions
Hello,I would appreciate any help with this. I am just having trouble navigating these type of questions:1.Suppose that we don't have a formula for g(x) but we know that g(2) = −1 and g'(x)=sqrt(... more
Ellipse Calculus Question
at what point is the slope of the tangent line to the ellipse(x^2/25+y^2/4=1) equal to =1 b)what is the lowest the x coordinate (x,y), what is the largest the x coordinate (x,y)
find y',y'(3) and the equation of the tangent line to the curve, x^2+(sin(2*pi*y)) = 9, at the point (3,8)1) the derivative of x is given by y'=.....2)the slope of the tangent line to the curve at... more