4. Suppose R and Q are functions such that: Q(-1) = 5 R(-1) = -4 R(5)...
Suppose that the functions q and r are defined as follows q (x)=x2 +7, r(x)=√x+4. Find the following. (r.q)(5)= (q.r)(5)=
Composition of two functions: Basic Suppose that the functions q and r are defined as follows. q(x)=x-4 r(x)-2x+3 Find the following. 9or1)
Suppose that the functions q and r are defined as follows. g(x)=-x+2 r(x)=x²+1 Find the following. (y - z)(-2) = 0 (20") (-2) = 0 x 3 ?
5 Consider the functions f and g whose graphs are given below. z y = f(x) -4 A3 -2 -1 1 2 3 4 y = 9(2) -4 -3 -2 -1 1 2 3 4 1 + f. Find (3) a. Find f'(-3). b. Find f'(1). g. Suppose p(x) = f(x)g(2). Find p'(-3). c. Find f'(3). h. Suppose q(z) = 5(). Find g(3). d. Find t'(-3). g(2) e. Find g'(1). i. Suppose r(x) = x2 f(x). Find r'(1).
q1 Q.1, 2+2 pts] Sketch the domain of the following functions: (a) f(r, y)=Vry 4 25 x2-y-2 (b) f(x,y,z) = V フy Q.1, 2+2 pts] Sketch the domain of the following functions: (a) f(r, y)=Vry 4 25 x2-y-2 (b) f(x,y,z) = V フy
N 3. Q+ "S 4.PNS 5. NS "R 6. PMR KPremise)/:P "R 1, 3, CA 2, CONTR 4, 5, CA mts Identify which Group I or Group II Rule was used in Deductions. (2) Ask Print 1. P - Q (Premise) 2. R - ("S v T) (Premise) 3. p R (Premise)/: ("Q & S) T 4.NQ NP 5. "Q R 6. "Q ("S v T) 7. "Q ( ST) 8. ("Q & S) T References (Premise) |(Premise) (Premise)/: ("Q...
Question 1 of 5 (1 point) Question Attempt: 1 of 1 1 2 3 4 5 Suppose that the functions q and r' are defined as follows. 9(x)=+5 r(x) = Vx+3 Find the following. (rº) (1) = 0 (gr) (1) = 0 Х 5 ? Continue
(1) For each of the following functions, determine if it is injective and determine if it is surjective. Justify your answer. (a) f : R → R, f(x) = 2x + 3. (b) g : R → R 2 , g(x) = (2x, 3x −1). (c) h : R 2 → R, h((x, y)) = x + y + 1. (d) j : {1, 2, 3} → {4, 5, 6}, j(1) = 5, j(2) = 4, j(3) = 6. (2)...
8. Suppose that we are given the following information about the functions f, g, h and k and their derivatives; • f(1) = 3 • f'(1) = 2 • g(1) = 4 • g'(1) = -2 • h(1) = 9 . h'(1) = -1 k(1) = 10 • k'(1) = -3 (e) (5 points) Set F(x) = log2[f(x) + g(x)]. Compute F'(1). (f) (5 points) Set F(T) = log: [f(r)g(r)h(r)k(r)]. Compute F'(1).
Q = (0,6, -4) R= (5,-4, -5) Consider the triangle with vertices: P= (-2,0, -1) (a) Find the vectors PO, PŘ, and QŘ (b) What is the measure of the angle at P (ZQPR)? (c) What is the perimeter of the triangle APQR ? (d) What is the area of the triangle APQR? (e) Find a vector that is perpendicular to the plane containing P, Q, and R Verify that the vector you have found is perpendicular to PO (f)...