g(w)=e^w(5w^2+3w+1)

g(w)=e^w(5w^2+3w+1)

Let y(t) represent your retirement account balance, in dollars, after t years. Each year the account earns 4% interest, and you deposit 4% of your annual income. Your current annual income is $38000,...

A bank estimates that the amount of money on deposit will be 1 million times the percentage rate of interest.For instance, if they pay 3% they will generate $3 million in deposits.If they can load...

(Not using derivatives) using formula (f(x)-f(1))/(x-1)

a point P in the first quadrant lies on the parabola y=x^2. Express the coordinates of P as functions of the angle of inclination of the line joining P to the origin

Find the first five non-zero terms of Taylor series centered at x=6x=6 for the function below. f(x)=lnx What is the radius of convergence?

Consider the power series ∑n=1∞[(−5)/sqrt(n)]*(x+7)^n. Find the radius of convergence R.R. If it is infinite, type "infinity" or "inf". What is the interval of...

A tarp has the dimensions of 30cm and 310cm This tarp is held up by a rope in the centre of it, find the maximum usable area underneath it for a 173cm tall person.

Find lim x → -1 (√π - √cos-1x)⁄√x+1

Let f(t) be the weight (in grams) of a solid sitting in a beaker of water after t minutes have elapsed. Suppose that the solid dissolves in such a way that the rate of change (in grams/minute) of...

The linear approximation at x=0 to √(6+5x) is A+Bx where A is:?? and B is:??

Find the slope of the tangent line to the curve (a lemniscate) 2(x^2+y^2)^2=25(x^2−y^2) at the point (−3,1).

When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are related by the equation PV1.4=C where C is a constant. Suppose that at a certain instant the volume...

The altitude of a triangle is increasing at a rate of 2.000 centimeters/minute while the area of the triangle is increasing at a rate of 4.500 square centimeters/minute. At what rate is the base of...

Let y=5√x Find the change in y, Δy when x=3 and Δx=0.4 Find the differential dy when x=3 and dx=0.4

This stupid calculus problems hate my guts and the growth rate one is giving me trouble here is the question A bacteria culture grows at a rate proportional to the number 'y' present...

Please help me to find the limit here. Answers will be appreciated. Thanks in advance

Let R be the region bounded by two curves described below. Find the volume of the solid generated when R is revolved about the x-axis. y=2x y=16 4√x

Here are some examples of questions in the textbook that I don't know how to do for my test! Evaluate each limit: lim (x approaches 0) tanx/x lim...

Integral of {x+1}/{x(1+xe^x)^2} dx Please help.

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