I asked a question earlier about open and closed intervals, so why did my teacher say this was wrong? Determine any values of c in the interval [0,2pi] for which f'(x) = 0. f(x)...
I asked a question earlier about open and closed intervals, so why did my teacher say this was wrong? Determine any values of c in the interval [0,2pi] for which f'(x) = 0. f(x)...
A rock dropped into a pond causes a circular wave of ripples whose radius increases at 6 inches per second. How fast is the area of the circle of ripples expanding at the instant that the radius...
please show working and also explain why you do it how you do it. Thanks! :)
Please show work
I couldn't understand and sole this question. please help Define f(x):= (x-a1)(x-a2)(x-a3)... (x-at), where an are constants, 1≤n≤t , where t is some finite natural number. Show...
An apple farm yields an average of 30 bushels of apples per tree when 20 trees are planted on an acre of ground. Each time 1 more tree is planted per acre, the yield decreases by 1 bushel (bu) per...
Suppose y is defind implicitly as a function of x by the following equations, where g is a given differentiable function of one variable. Find an expression for y'. a. xy=g(x)+y3 Ans:...
A simple question which includes differentiation,but it got me stuck...
A curve has the equation y= (x-a)[√(x-b)] for x≥b, where a and b are constants. It intersects the x axis at the point A with x=b+1. Show that the gradient of the curve at A is 1. Thank...
A curve has the equation y=3e2x. Find the value of d2y/dx2 at the point where the gradient is 3. Ans:6 Thank You! :)
The number of crimes, C, in a particular country between 2000 and 2010 was given by the function C=11.9+ 0.1t + ln(t+1), where t is the number of years passed since 2000. Show that C...
Differentiate the following with respect to x. cos(x+π)/sin3x Ans: [sin(x+π)sin3x +3cos(x+π)cos3x]/ sin23x Thank you! :)
The function f is defines by f(x)=sinx + cosx , for 0≤x≤2π. Find (i) The range of values of x for which f(x) is increasing (ii) The range of values...
Two variables x and y are related by y= ln(2+e-x) for x >0. Given that x is increasing at a rate of 3 units per second, find, in terms of e, the rate of change of y when x=1. Ans:...
Differentiate with respect to x. ln[ (x+3)3 cos3x / sin x ] Thank You ! :) Ans : 3/(x+2) -3tan3x -cotx
Differentiate with respect to x. ln ((√x2 +1) -x) . Thank you! :) Ans: -1/(√x2+1)
What is the second derivative for the function y=e^(6-x^2) ? Please show workings.
I'm doing some mathematical calculation of some symbolic math that includes multiplication and differentiation of some matrices. Some of the parameters in my calculations are functions of time...
how do you find the second derivative of y=e-x^2
Identify the coordinates of any local extrema of the function y= ex-e2x