a) Sketch the region whose area is given by definite integral. Integral is square root of 36-x^2 with bounds from -6 to 6 . b) Find and approximation of the area of the region using 6 subintervals...

For the following piecewise defined function, evaluate the specified one-sided limts:     f(x)=x2+2x, x≤1                x+3,...

Determine the equation of the line in slope-intercept form which is both tangent to the curve f(x) and parallel to the line provided:   f(x)=2x2+3x+1     ...

Use Newton’s method to find all roots of the equation (𝑥−2)2=ln𝑥, correct to six decimal places.     Please show a step-by-step solution to this problem. Thanks.  ...

A box is constructed out of two different types of metal. The metal for the top and bottom, which are both square, costs $3 per square foot and the metal for the sides costs$2 per square foot. Find...

Find the exact values of the remaining trigonometric functions of θ satisfying the given conditions. (If an answer is undefined, enter UNDEFINED.) cos θ = 12 13 , tan θ <...

A curve y=f(x) defined for values of x>0 goes through the point (1,0) and is such that the slope of its tangent line at (x, f(x)) is \displaystyle \frac{8}{x^{2}} - \frac{7}{x^{7}}, for x>0...

Show the definite integral you used with your limits of integration approximated to 5 places to the right of the decimal. State your answer accurate to 5 places to the right of the decimal. ...

In the year 2000 the population of the country was 100 million. In the year 2010 the population of the country was 114 million. base on this information predict the population in the year 2050 accurate...