Posted by **Alex** on Monday, December 10, 2012 at 6:18pm.

Find the value of the function y=sqrt(x+1)+sin(x)-0.5, correct to 3 decimal places, when x=0.05 without the use of a calculator.

- math -
**Damon**, Monday, December 10, 2012 at 6:35pm
y = sqrt (x+1) + sin x I assume radians not degrees - .5

= sqrt(1.05) + sin (.05) - .5

first the (1.05)^(1/2)

well if s = t^.5

ds/dt = .5 t^-.5

ds = .5 t^-.5 dt

s (t+dt) = s(t) + .5 dt/sqrt t

here t = 1 and dt = .05

so

sqrt(1.05) = 1 + .5(.05)/1

sqrt(1.05) = 1 + .025 = 1.025

now for small x, sin x = x

so sin .05 = .05

so

1.025 + .05 - .5

= .575

- math -
**Alex**, Monday, December 10, 2012 at 6:42pm
Thank you very much. This problem was giving me too much stress.

## Answer This Question

## Related Questions

- math - Eliminate the parameter (What does that mean?) and write a rectangular ...
- trigonometry - can you explain to me in details please of how these type of ...
- Math(Please check!!!) - 1) Evaluate (if possible) the sine, cosine, and tangent ...
- math - Use a calculator to find the given value. Round to four decimal places. ...
- Calculus - 1. Find the are between the curves y=e^x and y=4-x^2 graphically. a...
- Pre-cal (Please Check) - 1) Evaluate (if possible) the sine, cosine, and ...
- Math - Use a calculator to evaluate the trigonometric function. Round to four ...
- math - (a) Use a graph of f(x) = sqrt(2x^2+9x+5)−sqrt(2x^2+2x+1) to ...
- Calculus - Please look at my work below: Solve the initial-value problem. y'' + ...
- Calc - Find the exact total of the areas bounded by the following functions: f(x...

More Related Questions