Question

In: Advanced Math

Let Q(t)=x^2. Find a formula for the slope of the secant line over the interval [9,t]...

Let Q(t)=x^2. Find a formula for the slope of the secant line over the interval [9,t] and use it to estimate the slope of the tangent line at t=9t=9. Repeate for the interval [6,t] and for the slope of the tangent line at t=6

The slope of tangent line at t=6 is approximately
The slope of tangent line at t=9 is approximately

Solutions

Expert Solution


Related Solutions

Let f(x) = 3x-2sqrt(x) (a) Find the equation of the secant line through the (4, f(4))...
Let f(x) = 3x-2sqrt(x) (a) Find the equation of the secant line through the (4, f(4)) and (9, f(9)) (b) Show that there is only one number c in the interval (4,9) that satisfies the conclusion of the Mean-Value Theorem for the secant line in part (a). (c) Find the equation of the tangent line to the graph of f at the point (c, f(c)) (d) Use a graphing utility to graph the secant line in part (a), and the...
Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the...
Part A: Find the slope of the tangent line to the graph of f(x)=√(5x+9) at the point (8,7) Part B: Find an equation of the tangent line to the graph of f(x)= −3x^2 at the point (−3,−27). Solve your equation for ?. Part C: Find an equation of the tangent line to the graph of ?(?)= 7/(x-4) at the point (5,7). Solve your equation for ?.
Let X = {1, 2, 3}. Find all topologies T on X such that (X, T...
Let X = {1, 2, 3}. Find all topologies T on X such that (X, T ) is regular.
9. Let f (x) = x^3 − 10. Find all numbers c in the interval (-11,...
9. Let f (x) = x^3 − 10. Find all numbers c in the interval (-11, 11) for which the line tangent to the graph of f is parallel to the line joining (−11, f (−11)) and (11, f(11)). How many such numbers exist in the given interval? . 0 . 1 . 2 (correct) . 3 Enter points in increasing order (smallest first). Enter DNE in any empty answer blank. c = c = c = DNE (correct) 10....
2. Let X be a uniform random variable over the interval (0, 1). Let Y =...
2. Let X be a uniform random variable over the interval (0, 1). Let Y = X(1-X). a. Derive the pdf for Y . b. Check the pdf you found in (a) is a pdf. c. Use the pdf you found in (a) to find the mean of Y . d. Compute the mean of Y by using the distribution for X. e. Use the pdf of Y to evaluate P(|x-1/2|<1/8). You cannot use the pdf for X. f. Use...
Let random variable X be uniformly distributed in interval [0, T]. a) Find the nth moment...
Let random variable X be uniformly distributed in interval [0, T]. a) Find the nth moment of X about the origin. b) Let Y be independent of X and also uniformly distributed in [0, T]. Calculate the second moment about the origin, and the variance of Z = X + Y
if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over the interval...
if f(x) = -5x^2 sin(5x) and g(x) = x^2 -3x +9 are defined over the interval (2,4) write the full MATLAB commands to plot the two functions above two functions on the same set of axes 2 find the x and y coordinate of all points of intersections (x,y) that you can clearly see between the two graphs. Round up to 4 decimal
Find the slope of the normal line to the curve described by (x + y) ^...
Find the slope of the normal line to the curve described by (x + y) ^ (1/2) = xy ^ 2 + e ^ x at the point (0,1)
Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the...
Let f(x) = ln(x^2 + 9) Find the first two derivatives of f . Find the critical numbers of f . Find the intervals where f is increasing and decreasing. Determine if the critical numbers of f correspond with local maximums or local minimums. Find the intervals where f is concave up and concave down. Find any inflection points of f
Let X ∼ Bin(9, 0.2). a. Find P(X > 6). b. Find P(X ≥ 2). c.Find...
Let X ∼ Bin(9, 0.2). a. Find P(X > 6). b. Find P(X ≥ 2). c.Find P(2≤X<5) d. Find P(2 < X ≤ 5). e.Find μX f.Find σX2
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT