Let F(x) = log5x and H(x) = x . Find the value of F(H(25)). Write the...

Let F(x) = log5x and H(x) = x . Find the value of F(H(25)).

Write the equation of a circle whose center is located at (-2, -5) with a radius of 11 inches.

Given a triangle with Angle A = 45 degrees, Angle B = 60 degrees and side a = 10 inches.

Find the length of side b. (Leave answer in radical form.)

Find the distance between a set of points whose coordinates are A(-7, 8) and B(5, -11). (leave answer in radical form.)

Find the roots of the equation 2?^2 − 11? = −12

Expert Solution

milcah answered 2 years ago

Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a =...

Let f(x) = (x − 1)2, g(x) = e−2x, and h(x) = 1 + ln(1 − 2x). (a) Find the linearizations of f, g, and h at a = 0. Lf (x) = Lg(x) = Lh(x) = (b) Graph f, g, and h and their linear approximations. For which function is the linear approximation best? For which is it worst? Explain. The linear approximation appears to be the best for the function ? f g h since it is closer to ? f g h for a larger domain than it is to - Select - f and g g and h f and h . The approximation looks worst for ? f g h since ? f g h moves away from L faster...

Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on...

Let f(t)=5t2−t. a) Find f(t+h): b) Find f(t+h)−f(t): c) Find f(t+h)−f(t)/h: side note: (f(t+h)=f(t) is on top of fraction and h is on bottom) d) Find f′(t): pls circle the 4 answers

(abstract algebra) Let F be a field. Suppose f(x), g(x), h(x) ∈ F[x]. Show that the...

(abstract algebra) Let F be a field. Suppose f(x), g(x), h(x) ∈ F[x]. Show that the following properties hold: (a) If g(x)|f(x) and h(x)|g(x), then h(x)|f(x). (b) If g(x)|f(x), then g(x)h(x)|f(x)h(x). (c) If h(x)|f(x) and h(x)|g(x), then h(x)|f(x) ± g(x). (d) If g(x)|f(x) and f(x)|g(x), then f(x) = kg(x) for some k ∈ F \ {0}

Let f(x) = x^3. Find a value "C" between x=0 and x=12 such that the average...

Let f(x) = x^3. Find a value "C" between x=0 and x=12 such that the average rate of change of f(x) from x=0 to x=12 is equal to the instantaneous rate of change of f(x) at x=C

1. For the function f(x)=x2−36 evaluate f(x+h). f(x+h)= 2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate...

1. For the function f(x)=x2−36 evaluate f(x+h). f(x+h)= 2. Let f(x)=3x+4,g(x)=9x+12, and h(x)= 9x^2+ 24x+16. evaluate the following: a. (fg)(3)= b. (f/g) (2)= c. (f/g) (0)= d.(fh)(-1)= 3. Let f(x)=2x-1, g(x)=x-3, and h(x) =2x^2-7x+3. write a formula for each of the following functions and then simplify a. (fh) (x)= b. (h/f) (x)= c. (h/g) (x)= 4.Let f(x)=5−x and g(x)=x^3+3 find: a. (f∘g)(0)= b.(g∘f)(0)= c. (f∘g)(x)= d. (g∘f)(x)= 5. Let f(x)=x^2+5x and g(x)=4x+5 find: a. (f∘g)(x)= b. (g∘f)(x)= c. (f∘g)(0)= d....

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 f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b)...

Let f(x) = x / (4−x^2) . (a) Find the domain and intercepts of f(x). (b) Find all asymptotes and limits describing the end behavior of f(x). (c) Find all local extrema and the intervals on which f(x) is increasing or decreasing. (d) Find the inflection points and the concavity of f(x). (e) Use this information to sketch the graph of f(x)

please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a)...

please show steps Let X ∼ N (100, 25) be a normal random value. Find: (a) P[93 < X < 107] (b) P[93 < X < 100] (c) P[93 < X < 109] (d) P[X < 109] (e) P[X > 107] (f) P[|X| > 107] (g) P[|X| < 93] (h) 67-th percentile n(0.67) (i) 23-th percentile n(0.23)

Use the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to...

Use the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to find a. The derivative of f(x) = x + (30/x) b. The derivative of f(x) = 3x^2- 5x + 30

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find...

Let f(x) = −x^4 − 4x^3. (i) Find the intervals of increase/decrease of f. (ii) Find the local extrema of f (values and locations). (iii) Determine the intervals of concavity. (iv) Find the location of the inflection points of f. (v) Sketch the graph of f. (You can choose your own scale for the graph)

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