Find dy/dx by implicit differentiation for y cos x = 1 + sin(xy)
Find dy/dx by implicit differentiation for y cos x = 1 + sin(xy)
This question is about calculus.
Find C and a so that f(x) = Ca^x satisfies the given conditions. f(1) = 25, f(2) = 125 a = ?
Find an equation of the line containing the pair of points (-4, -7) and (0, 4) Determine the vertex of the parabola: y= 4x^2-80x+406
3. Let f(x)=S0x g(t)dt, 0<=x<=6, where g(t) is given by the graph below. Note: I'm using "S" as the definite integral sign. (a) Find the values x at which f(x) has a local...
Find 2 numbers such that one number is 1 unit greater than the second number and the sum of the squares of the numbers is a minimum.
Hi, I need someone to teach me how to solve this problem: Find an equation of the tangent plane to the surface ƒ(x,y) = tan(x2y) at the point P where...
Hi, can anyone teach me how can I solve this problem? For the surface: g(x,y) = In(y + x2) + y -- Find the directional derivative of ƒ(x,y)...
Eliminate the parameter
Develop the mathematical model that represents China's population. (Write your model in terms of t, where t is the number of years after 1980. Let p represent China's population in millions. Round...
0∫2(0∫¶/2 xsin(y)dy)dx
Two cars race around a circular track, in opposite directions, at constant rates. They start at the same position and meet every 30 seconds. If they move in the same direction, they meet every 120...
In the expansion of the equation, find the coefficient of x2.
The function f : C → C is given by f(z) = z² + 14. What should I do to find the range of this function?
The slope of the curve has to be found by the dy/dx= 6/x^2. It will most likely end up as a y-y1=m(x-x1) formula at the end.
Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this...
A cylindrical can is to have a volume of 1L. a) Find the height and radius of the can that will minimize the surface area b) What is the ratio of the height to the diameter? Do pop cans...
Find the derivative of f(x)= x^2/3(x^4/3-x^1/3+x^-5/3)
Evaluate the expressions. y = f(x), X =f(x) a. f(-1) = ? b. f^-1(3) = ? c. f^-1(0) = ? d. (f^-1 * f)(3) = ?
Find the integral of (cos(2x) dx)/(sin^2 (2x)) from pi/12 to pi/4. Answer: 1/2 Please show all your work.