The length of a rectangle is decreasing at a rate of 8cm/sec and its area is increasing at a rate of 65cm^2/sec. How fast is the width of the rectangle changing when it's length is 9cm and its width is 4cm?

Q: TW8 cyclists, 112 miles apart, start riding toward each other at the same time. One cycles 3 times…

A:

Q: An RC circuit with a 100 Q resister and a 10^(-2) F capacitor is driven by a voltage…

A:

Q: ∫dv/v^2

A: Given, ∫dvv2

Q: In a rope, a beat can be modelled with A = 15e^-x^2, where A is the amplitude of the beat in cm. How…

A: Rate of change of amplitude of beat can be found out by d(A)dx

Q: The rate of residential electricity consumption (in billions of kilowatt hours (kWh) per year) of a…

A:

Q: 1 е*+1 dx X+xə Jo ex +x

A: To find the integration

Q: (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x) (a+1)

A: We have to solve the given differential equation   (D^2 - 6D +9)y = (6e^(3x))/x^4 + 3a^2 e^(3x)…

Q: Graph the following functions: Y 3^X Y = -3^(-X) Y = e^X

A: Given function we plot the graph . Here i attached solution of this question.

Q: The graph of y=5^x is translated 8units to the right and 3 units downward. What is the transformed…

A: The given function is y=5x. We have to translate function 8 units to the right and 3 units downward.

Q: ∫dv/(B-v^2), B is a constant

A: This question is about to evaluate indefinite integral.

Q: If det A = 10 what is det(A^25)?

A: The determinant of a matrix is a number that is specially defined only for square matrices. the…

Q: P(t)=1000e^2.0794t. How many bacteria will there be in 1.5 hours?

A:

Q: Find ∫^4 2 (6x5+4x2)dx

A:

Q: For values of x between -2 and +2, sketch the graphs of: a). y=10^x b). y=10^(-x)

A: