Ask a New Question

Question

Write the function d(t) = sqrt(90^2 + (90 − 16t)^2) as a composition. d(t) = f(g(t)), where g(t) = at2+bt+c is a quadratic function; find a, b, c.
5 years ago

Answers

oobleck
g(t) = 90^2 + (90 − 16t)^2 = 256t^2 - 2880t + 8100
f(t) = √t

d(t) = f(g(t)) = √g(t) = √(256t^2 - 2880t + 8100)
5 years ago
name
i got 16200 for the value of c because are you suppose to add 90^2 to 8100
5 years ago
oobleck
right you are
my bad
5 years ago

Related Questions

Consider the function y=sqrt(1+cos2x)/2 (everything is under the square root) a. Can x take on a... The function f(x)= sqrt(x+6), I am told that the derivative (slope of tangent line) at x=46 is 1/n f... Consider the function f(x)=sqrt(2–5x^2), –5≤x≤1. The absolute minimum value is ____ and this occurs... Given a function f(x)=sqrt(100-x^2) Evaluate the integral xsqrt(100-x^2dx) for the interval (0,10) The function t=[(sqrt)(d/16)] models the time (t) in seconds that an object has been falling after t... The function f(x) = 5x sqrt x+2 satisfies the hypotheses of the Mean Value Theorem on the interval [... For the function f(x) = sqrt(9-x), which is equal to d/dx(f-1( -1 is the inverse)(x)) a) -2x b)... Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? -Consider the graph f... The function j(x)=sqrt(x+1)+b/x^2 has a critical (turning) point at x = 3. Determine the value for t... Write sqrt(2)/(sqrt(2) + sqrt(3) - sqrt(5)) - 1/2 with a rational denominator.
Ask a New Question
Archives Contact Us Privacy Policy Terms of Use