A street lamp 20' high creates a shadow of an owl. The owl is descending to a mouse vertically below. When the stationary mouse is 10' from the foot of the lamp, the owl is 15' vertically above and...

A street lamp 20' high creates a shadow of an owl. The owl is descending to a mouse vertically below. When the stationary mouse is 10' from the foot of the lamp, the owl is 15' vertically above and...

this question had several parts 1)Why can't we use the product rule to compute f'(0) My initial thought was that you cannot use the product rule t because sinx and 3√...

find dy/dx where y=2^(x/lnx)

Can you please explain step by step how to do it and the final result? Thanks!

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand...

1. Find the equation of the line tangent to the curve 𝑦 = 1 √𝑥2+2 at 𝑥 = −1. Do not use the derivatives rules. Use the limit definition to calculate the derivative. [5 marks] need solution...

We have done this problem writing in terms of sin3x and cos3x, but never sin2x and cos2x when the equation has 3x. This is a super important problem for extra credit and I don't understand how to...

In Calculus, are any number to the power of x treated as E^x when working with derivatives? (i.e. 10^x ... 10xln(10)

Calculus I, Derivative t>=0

Application of Derivatives

y=(xy)x Write an expression for dy/dx

Find the function of the form f(x)=a+bcos(cx) that is tangent to the line y=1 at the point (0,1), and tangent to the line y = x + (3/2) - (pi/4) at the point (pi/4, 3/2).

find equation of tangent line and normal line given x2/25 + y2/9 = 1 with coordinates (5sqrt(2)/2, 3sqrt(2)/2)

Find the exact Value of c on f(x) = c/x so that f(x) is tangent to x2/25 + y2/9 = 1

An object is moving in a straight line from a fixed point. The displacement s(in meters) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. 1...

Hi, can anybody help me with the following question? "Find the equation of the curve with the derivative of y with respect to x given as (2/√x)-x, passing through the point (2,1)"

Calculus Question - Please help An object is thrown from a height H above an uneven ground described by a height function h(x). Suppose that the object can be thrown with maximum velocity v at...

Differentiate y = (2x+5)^3(6x-1)^5. Express your answer in factored form.

An object is moving in a straight line from a fixed point. The displacement s(in metres) is given by s=-2t^2+28t+45, t is greater than or equal to 0, where t is in seconds. Find...

Dianna wants to enclose a rectangular flower plot that adjoins a brick retaining wall. If she has only 30 m of decorative fencing, what should be the dimensions of the flower plot be so that she a...