If f(x) = x^4 - 4x^3 + 10 find the relative extrema of the function and the points of inflection of its graph. Also, sketch the graph of the function. a. The x-value(s) of the relative minima of function f: ________________ b. The x-value(s) of the relative maxima of function f: _______________ c. The x-value(s) of poi
12. Use implicit differentiation to find the slope of the curve y^2 - y + 2x = 0 at the point (x,y)=(0,1). (See attachment for full questions) 13. A spherical balloon is leaking...
Find the absolute maximum and minimum of f(x)= x^3 - 3x for -1<=x<=3. (See attachment for full questions)
X^2-2xy+y^3=5 find dy/dx using implicit differentiation using product rule
Please assist me with the attached problems, relating to first principles and Leibniz Notation.
Please See Attachment. Suppose f: R  R is differentiable and let Show that
Let (see equation in attached file) - find all the directional derivatives of f at 0 - is f continuous at 0? - Is f differentiable at 0?
Find the derivative of f(x)= (3-4x^2)/(x^2-x-6) and then determine intervals of increase/decrease,local max and min values and points of concavity or inflection.
2. The Gompertz equation y'(t) = y[a-b*ln(y)] is an important model for avascular tumor growth. In the avascular growth phase, tumor cells obtain nutrients directly from the surrounding tissue. (The transition from avascular to vascular growth is marked by the onset of angiogenesis, the formation of blood vessels, which are
I need to determine how fast a shadow is moving up a wall. Given the heigth of the wall the height if the object that cast the shadow. The length of the wire the object moves on, and the height of the light that casts the shadow. I have worked out the first sections in an Excel 2000 spreadsheet but I need a push in the right di
The morse potential is D*[1-exp(-ax)]^2 , where D, a are positive constants. Show that x=0 is a stable equilibrium, and that the period of small oscillations about it is... (See attachment for full question)
1) Who can explain me Lagrangian multipliers with drawings scheme etc... 1)I just can't imagine what is happening in space with Lagrangian multipliers. 2) I did this problem but here also I can't understand it, because I can't understand what is happening in space! could you explain it with drawings and schemes please : the
When I write (Wx)y it means the partial derivative of W according to x with y constant ! Supposethat g(x,y)=c a constant and W=f(x,y,z) . Which of the following makes sense as the derivative Wx ? : a) (Wx)x b) (Wx)y c) (Wx)z 2) suppose that cos(x-y)=5u and W=x^2*y*u. Find (Wu)x. 3) Consider the cu
Compute the derivative of the given function and find the equation of the line that is tangent to its graph for the specified value of x0. Equation: f(x)= x^3-x; x0=-2
Complete the following: Solve for the derivative of the given function, finding the slope of the line that is tangent to its graph for the specified value of the independent variable f(x) = x^2-1; x=-1
Find the gradient of the function: (3√θ^3) / 2sin2θ I have a number of these questions to complete could you please explain each step involved to get the correct answer
Curvature (III) Differential Calculus Evaluate the radius of curvature at any point (x,y) for the curves : (a) xy = c2 (b) y = (1/2)a(ex/a +
A) f(x) = -4x-1 (-4x to the -1) f'(x) =
Please see attached file for the six fully-formatted questions with calculus involving limits and differentiation.
Compute the first-order partial derivative of the given function z=xy^2/x^2y^3+1
Please show or explain step by step process. Please use proper notation. Volume: Find the volume of the solid generated by revolving the region bounded by the graph y=xe^(-x), y=0 and x=0 about the x-axis.
The product rule for radicals is ... (see attached) Solve ... (see attached)
The Problem is attached
How do you find the derivatives of: ln(1 + 5/x) and of: (ln(1 + x)/x) / (1/x) ?
Solve the following two equations. In each case, determine dy/dx: a.)y=xcos(2x^2) Is this right? y'=x(-sin)(2x^2)(4x) =-4x^2sin(2x^2) b.)y=xe^-x^2 Is this right? y'=-xe^-x^2+1(e^-x) =-xe^-x^2+e^-x
Approximate the derivative of y=x^3 at x=2 by assuming delta x = 0.001 and determining the corresponding change delta y. Compare the approximate value with the exact value. This is what I did - does it look at all right? y(2)=(2)^3=8 y(2.01)=(2.01)^3=8.120601 delta y=8.120601-8=0.120601 dy/dx~delta y/delta x = 0.1206
Category: Business > Management Subject: Management Science Details: 1. Which of the following statements are true for f(x) = x2? (Chapter 10) a. f(x) is a concave function b. f(x) </= 20 is a convex set c. f(x) >/= 5 is a convex set d. none of the above 2. Which of the following statements are true for f(x) =
1) Differentate the equations a) y=8/5xsquared b) y=4cosX - 3ex 2)The fomula C=60=t3/12 This equation refers to a machine in a workshop. This machine costs £C to lease each week according to the formula and t is the number of hours per week worked by the machine. The rate of increase of cost during the week is given by dC
I have done most of the calculations but require confirmation.