equation of tangent line of f(x)=1+(2+x)e^-x at x=0

equation of tangent line of f(x)=1+(2+x)e^-x at x=0

Use the position function s(t)= -16t2 + 98 to find the velocity in feet/seconds at time t= 1 second. The velocity at t=c seconds is given by lim t>c , s(c)-s(t)/c-t please...

Use the limit process to find The area of the region between f(x)=x^2-x and the x-axis on the interval [1,3]

Use the limit process to find the area of the region between f(x)= x+3 and the x-axis on the interval [0,4] please show all work

Write the derivative ( formula for the slope of the graph) of f(x)= 2x2 + 5x Please show all work

please show all work. Find the derivaI’ve of f(x)=2x^7

a. For what values of x is f increasing? Decreasing? b. Find the values of x where f(x) is the greatest; where f(x) is the least. c. Find the values of x where f is increasing most rapidly;...

solve the following equations for x a. tanhx = 12/13 b. sinhx = 3/4 c. coshx =5/3

a) f(x)= 1-x/x+2 b) f(x)= 2x-4/1-x

a) f(x) = log(x −4) b) f(x) = log(5 − x) c) f(x) = − ln(x + 2)

a) v=<2, −2√3> b) v=<−3,−3> c) v=<−5√3,5>

a) 2sin^2 x = sin x b) 2cos^2 x−cos x−1=0 c) tan^2x−tan x = 0

a) Find the sum of the first 70 terms of the arithmetic sequence: 22, 19, 16, 13, … b) Find the sum of the first 95 terms of the arithmetic sequence: -17, -12, -7, -2, … c) Find the sum of...

Problems can be any type of calculus problem. Preferable if it is explained how to reach the answers.

im given a cost function only and how much a product sells for. Question is asking for max profit? how do i do it?

g(t)= ∫0t((1/1-x)+(1/(1+x)^2))dx

Let P be the population of some geographical area. If the population of the area changes over time based on the following criteria, which of them signals exponential growth of the population? I...

The equation (x^2+y^2)^2=2(x^3+y^3) graphs the bean curve. Approximate the value of y at x=1/2 by using the linear approximation to the curve at the point (1,1). Possible answers...

Possible answers include: A. 0 B. 1 C. 2 D. 4

Possible answers include: A. (3, -2) B. (0, 1/4) C. (-2, -1) D. (-5,-6)