If an object is dropped from a 237-foot-high building, its position (in feet above the ground) is given by d(t)= -16t^2+237, where t is the time in seconds since it was dropped. a. Compute...

If an object is dropped from a 237-foot-high building, its position (in feet above the ground) is given by d(t)= -16t^2+237, where t is the time in seconds since it was dropped. a. Compute...

Vector v has its initial point at (7, -9) and its terminal point at (-17, 4). Which unit vector is in the same direction as v?

Consider the position function s(t)=-4.9 t^2 + 27 t + 23. Complete the following table with the appropriate average velocities and then make a conjecture about the value of the instantaneous...

The function s(t) represents the position of an object at time t moving along a line. Suppose s left parenthesis 3 right parenthesis equals 171 and s left parenthesis 5 right parenthesis equals 221...

Evaluate the following limit. ModifyingBelow lim With x right arrow 12 StartFraction x squared minus 144 Over x minus 12 EndFraction

It's 2018 and you've decided to purchase a US treasury bond now, it matures in 8 years (2026) and has a face value of $100,000, a coupon rate of 6% and a yield of 7%. a) do you pay more or...

The derivative of y=4x.x2

Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the following function. f left parenthesis x right parenthesis equals StartFraction x squared minus...

Write the exponential function y =4(0.2)^t/6 in the form y=a*25^kt . Give the values of all constants. a= k=

Find a formula for the exponential function. (10,90) (30,10) Round the value for to the nearest integer, and the value for to three decimal places. y=ab^x,...

Use analytical methods and/or a graphing utility to identify the vertical asymptotes (if any) of the following function. f left parenthesis x right parenthesis equals StartFraction x squared minus...

Estimate the area under the graph of f(x) = 1/(x+4) over the interval [-2.3} using five approximating rectangles and Right endpoints. Rn= ---- Repeat the approximation using left...

f(x)=x^3-1/ x^2-1 there will be no h.a and for the v.a we factor and we get x=1 and x =-1

Please answer the question. Answer: (___ , ___)

Use the Trapezoid Rule to approximate the area under the curve f(x)=2x^3-x+5 from x=5 to x=29. Use 4 trapezoids to find your approximation.

Use the Midpoint Rule to approximate the area under the curve f(x)=x^2-3x+6 from x=4 to x=24. Use 5 rectangles to find your approximation. Answer= ---

Use the Trapezoid Rule to approximate the area under the curve f(x) = 1*sin(x)+5x from x=3 to x=13. Use 5 trapezoids to find your approximation. (x is in radians) Answer =...

Let f(x)=x^3+3x^2-144x+1 on what interval is f increasing (including the endpoints in the the interval)? Interval of increasing = ---- On what interval...

Derive f(x) = 5+ (4/x) +(3/x^2)

Applications of Calculus in the Physical world