Calculus question and answers for October 22, 2023
- Q Let g(x) = x + (8/x)Determine the equation of the tangent line to g at ( -6 , -22/3). Report the solution using slope-intercept form ?
- Q The following table indicates a number of households (in thousands) with a total income under $20,000 or over$100,000.Under $20,000625.03591.76595.05586.30566.98Over $100,0001,248.481,409.191,538.541,635.931,803.71a. Use GeoGebra to help you model each of the two...
- Q Graphs of the velocity functions of two particles are shown, where t is measured in seconds.(a) When is the particle speeding up? (Enter your answer using interval notation.)(b) When is...
- Q maximize(minimize) 3x + y subject to the constraints: 4x - 3y = 9 and x + z = 9a) Write down the Lagrangian function.b) What are the first-order conditions?c) Find...
- Q How do you find instantaneous rate of change?
- Q f = 1/2L ?T/Pwhere L is the length of the string, T is its tension, and p is its linear density.(a) Find the rate of change of the frequency with...
- Q In your own words, define the following. (a)Secant line(b)Tangent line(c) Instantaneous rate of change
- Q If y= (2w - 4)/(w+4) , w = u/ (?(u+3) - u) and u = 12/(x^2 + x)determine dy/dx at x= -2use leibniz notation, show all your work and do...
- Q Let h(x) = 3 + 4cos x.Use the limit definition of the derivative to differentiate h.h'(x) =________Determine the slope of h at x =? /2h'(? /2)=______
- Q Let h(x) = -3xDetermine the equation of the tangent line to h that is parallel to y = -18x - 9 . Report the solution using slope - intercept form.
- Q Of all points (x, y, z) that satisfy x + 4y + 3z=21, find the one that minimizes (x - 1) + (y? 1) + (z ? 1).The given function...
- Q A graphing software can quickly create a triangle with base, b (cm), and height, h (cm), represented by b= (t+3) and h=t +3, where t is time in seconds. Determine...
- Q Let f(x) = 2 _-e??/x Does f(x) have any horizontal or vertical asymptotes? What are they?. Use limit calculations to justify your answer.
- Q Let f(x)=?xUse the alternative limit definition of the derivative to determine the derivative (slope) of f at x = 10.f'(10) = __________
- Q Let g(x)= -9x + 8.Use the limit definition of the derivative to differentiate g.g'(x) = ________Determine the slope of g at x = 8.g'(8) = ______________
- Q Please Simplify as instructed.1 + sec(t)//1 + cos(t)?=?Times top and button by 1 - cos(t)?=?Simplify using results from #5 and #6?=?Simplify further using the result from #7?=?Simplify further so the...
- Q Let g(x) = x - 8Use the alternative limit definition of the derivative to determine the derivative (slope) of g at (9, 721).Slope = __________
- Q Let f(x) = 6/x-3Use the limit definition of the derivative to differentiate f.f'(x) = ?Determine the slope of f at x = 3.f'(3) = ?
- Q Let g(x) = -18Determine the derivative of g.g'(x) = ________Determine the slope of g at x = 2.g'(2) = _________
- Q Let f(x) = 5x +9.Use the limit definition of the derivative to differentiate f.f'(x)= ?Determine the slope of f at x = 3.f'(3)= ?
- Q Let g(x) = x + 3x - 5.Use the limit definition of the derivative to differentiate g.g'(x) =_______Determine the slope of g at x = - 8.g'(- 8) =_______Submit All...
- Q Let f(x) = ?2Determine the derivative of f.f'(x) = ______Determine the slope of f at x = 2.f'(2) = _______
- Q Let g(x)= -3x + 5Use the alternative limit definition of the derivative to determine the derivative (slope) of g at x = -9.g'(- 9) =_______
- Q Consider the graph of f given below. Evaluate the following limit.lim ?x->0 f(1+ ?x) - f(1)/?x = ________
- Q Let h(y) =- ?YDetermine the value(s) of y, if any, for which h has a horizontal tangent line.? h has a horizontal tangent line at y = ?? h has...
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
- Unlimited Question Access with detailed Answers
- Zin AI - 3 Million Words
- 10 Dall-E 3 Images
- 20 Plot Generations
- Conversation with Dialogue Memory
- No Ads, Ever!
- Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!