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q18 / m2 QUESTION 18 Find the domain of the function. f(x) = log 2(25 -...
log(2 - 2) (x2 y Question 2. Consider the function f(x, y, (a) What is the maximal domain of f? (Write your answer in set notation.) (b) Find ▽f. (c) Find the tangent hyperplnes Te2)(r, y,z) and Tao2-)f(x, y, z). Find the intersection of these two hyperplanes, and very briefly describe the intersection in words (0,1, 1) and set notation. Confirm that the point (2, 2, 1) is on this level surface, and that Vf(2, 2, 1) is (d) On...
Find the domain of the function. Write the domain using interval notation. g(x) = log 4x – 13
(b) Determine the domain D of analyticity of the function f(z) = = Log(2 – į + 2), and find the derivative f'(2) on D.
3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not, why might someone else find it difficult? List the transformations in their correct order, starting with the parent function a) Parent function: b) Frist transformation c) Second transformation d) Third transformation e) Fourth transformation 3. Find the domain of the function f(x)--2logs (x +3) - 2 Was this domain difficult to find? If so, why? If not,...
log(2 - 2) Consider the function f(x, y,z) (a) What is the maximal domain off? (Write your answer in set notation.) Find ▽f. (b) Find the tangent hyperplanes Ta2.1,f(r, y, 2) and To-ef(r, y, 2). Find the intersection (c) On (z, y, z)-axes, draw arrows representing the vector field F = Vf at the points (1,0,1), (d) Find the level set of f which has value ("height") wo 0, and describe it in words and of these two hyperplanes, and...
Find the domain of the logarithmic function. f(x)= In ( -8x) The domain of f(x) is (Type your answer in interval notation.)
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() <
please solve the question 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o 5(-1)" In n 1/2 13. a) Find the inverse of the function f(x)=cosh x=2(c+e-x) b) State the domain and range of both the function and its inverse. Determine if the series is absolutely convergent, conditionally convergent or divergent. 14. o...
Below is the graph of f(x), a function defined on the domain (-5,5). f(x) For each function value, decide if the value is positive, negative, zero, or undefined. a f'(-3) is positive negative zero undefined b. "(-1) is positive negative ? a. f'(-3) is positive negative zero undefined b. f "(-1) is positive negative zero undefined c. f'(1) is ? positive negative O O zero O undefined d. f"(3) is positive ã o negative o zero o o undefined e....
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25 - x (Hint: Graph it.) (4 pts) (12) Suppose that f(x) - (X-4 XS2 X > 2 Evaluate each of the following: (a) f(-5) (b) f(5) (8 pts) (13) If h(x) = 5x73, find h'(x). pts) (14) Find an equation of the parabola with vertex (5. --3) and which passes through the point (2.4)