1. The domain of the function h(x) = 4th Root(x^2 − 36) is . . .
2. The average value of the function f (x) = sin(x^2) on the interval [ π/6 , 7π/6 ] is . . .
3. limit as x approaches 0 of 8e^x - 5x - 8 / 3sin(4x)
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describe or draw a function, f(x), with the following characteristics: f(x) has domain (-infinity,8) f(x) has range (-infinity, 9) Describe or draw a function, f(x), with the following characteristics: f(x) has domain (-0,8) f(x) has range (-0,9) f(4) = 0; f(5) = 0; f(7) = 0 • The limit, as x approaches -oo, of f(x) equals 9 • The limit, as x approaches 8 from the left, of f(x) equals - • • f(-1) = f(-3); f(-1) > f(-2) f(1)...
X- 32 Find the domain of the function: h(x) : 3. Give your answer in interval notation. x2-5x+6' X2-5x+b (x-3) (x+3)X
-2 The equation for this function is f(x)- The domain of this function in interval notation is The range of this function in interval notation is 24 The equation for this function is f(x) The domain of this function in interval notation is The range of this function in interval notation is □ ty 4 2 4 6 8 The equation for this function is f(x) = The domain of this function is The range of this function is 8...
ID Let f(x) = /2x=2 | (a) Find f'(x) as a piecewise function (6) Graph y = f'(x) (c) state the domain of f and the domain of f. Find lin tan 4x cos 3x sin 5x X> 12 Find y if y = (3x+5)*(x+4x) (3 Find y' it ya + 10x tanx 7 Let y= (a) Find (6) Find the equation of the tangent line at (74 y' Elf 8 X3 Prove lim (5-) = 4 (a) write the...
2 2. For function h(x) - a. Find (-1) b. Find the domain of h(x), write your answer in set-builder notation. 2 c. For function (x) h'(x) and state the domain and range of h'(x). 3. a. What is the relationship between the graph of a function and the graph of its inverse? b. Graph the function (x) = V1 – 3 and its inverse on the same coordinate system. Determine at least 3 points on each graph. Label each...
2) a) Find the domain of the functions. h(x) = x2 – 5x b) Find the functions (a) fog, (b) go f,(c) f • f and their domains. 1. f(x) = 3x + 5, g(x) = x² + x 2) a) Find the domain 07 the functions. h(x) = 1/72 – 5x g(x) = - 1 g(x) = 1 – tan x b) Find the functions (a) fºg, (b) go f, (c)f of and their domains. . f(x) = sin...
(4) (a) Compute the Fourier series for the function f(x) interval [-π, π]. 1-z on the (b) Compute the solution u(t, z) for the partial differential equation on the interval [0, T): 16ut = uzz with u(t, 0)-u(t, 1) 0 for t>0 (boundary conditions) (0,) 3 sin(2a) 5 sin(5x) +sin(6x). for 0 K <1 (initial conditions) (20 points) Remember to show your work. Good luck. (4) (a) Compute the Fourier series for the function f(x) interval [-π, π]. 1-z on...
Find the inverse function of the function f. Find the range off and the domain and range of f(x) = 7 sin (5x-3); Find the inverse, " off. (Simplify your answer. Use integers or fractions for any numbers in the expression.) The range of f(x)is (Type your answer in interval notation. Use integers or fractions for any numbers in the expression) The domain of f'(x) is (Type your answer in interval notation. Use integers or fractions for any numbers in...
Question 13 < > The domain of the function f(x) = 4x + 57 consists of one or more of the following intervals: ( -00, A] and [A, 0). Find A For each interval, answer YES or NO to whether the interval is included in the solution. (-00, A) (A, 00) Add Work Submit Question
Question 1 Consider a function f (2) with domain 3 << 7 and range -3 < f (x) < 9 a) Find the domain and range of g (x) = f (5x). Domain: <3< Range: 59(2) b) Find the domain and range of -h (2) + 7. Domain: sos Range: <9() <