6 problems plz click the picture to see all the problems.
6 problems plz click the picture to see all the problems. A. Find the derivation from the following function 1. f(t)(In3x) (x+3)+(x-2)- 2. У (use logarithmic derivation) In ( ear) 1-e3* 4. f(r)ech3x...
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6. I. Evaluate: a) f(-2) b) f(-1) c) f(o) II. Graph the function f(x) 5 2 -3 -5 7. Expand the following logarithmic expression using the properties of the logarith Assume all variables are positive. In Ve , find sin θ and tan θ, where θ terminates in the third quadra If cos θ 8.
-2x +1, if x s -1 For the function f(x)= 2,1. ifxs- 6....
#1,2,4,5,7
Chapter 4 Functions of Two Variables Applied Calculus 272 4.3 Exercises For problems 1 through 6, find f/, f, and f, for the function given. Confirm that ух 3. f(t,y)-Sxy 4. f(x, y)-e" 5.(x,y)-In(axy+2x-6y) y4-5 7. Find the critical points of f(x,y)-ys_x3 + 15x2-12y+12 and use the Second Derivative Test to classify them. If the test fails, say "the test fails. 3
Chapter 4 Functions of Two Variables Applied Calculus 272 4.3 Exercises For problems 1 through 6, find...
(point) Match each logarithmic function f(x) with its graph. 1.f(x) = ln(-x) 2.f(x) = - In(-x) 3.f(x) = - In(x) 4. f(x) = ln(x - 6) 5. f(x) = 6 + In(x) 6.f(x) = In(6 - x)
Answer all the problems please.
(1 point) The graph of f(t) is given below (Click on graph to enlarge) a. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally f(t) = help (formulas) b. Find the Laplace transform F(s) = L {f(t)) for s 0. F(s) = L {f(t)) = help (formulas) (1 point) Find the inverse Laplace transform of 7s F(s) = s2-15-12 f(t)-H(t-7)*(1/7% . (Use step(t-c)...
4. g(t)= 3. y=sin(tan5x) In problems 1-5, find the derivative of the function. Write your answers in simplest form. 1. f(x)=- sinx 2. f(x)=(x +7x-2) 100 1-COS X 3. y =sin(tan5x) 4. g(t)= t+3 5. f(x) = cos(x'cscx) sin(x-3) 6. Find lim 2-3 3x-x?
4. Use the graph of f(x) (see below) to answer the following questions. Estimate to one decimal place when necessary. (a) Find the value(s) of such that f(x) = 1 (b) Find the value of f(x) such that = 2 (e) Find the domain of f(x) (use interval notation) (d) Find the range of f(x) (use interval notation) 5. State the transformation(s) of the following function from its parent/basic function. Then graph the function using those transformation(s). Determine the vertex...
Given the function f, evaluate f(-1), f), f(2), and f(4). Sx²-3 if x < 2 f(x) 6 + [x - 5] if x 2 2 f(-1) = f(0) f(2) f(4) = A car travels at a constant speed of 50 miles per hour. The distance, d, the car travels in miles is a function of time, t, in hours given by d(t) = 50t. Find the inverse function by expressing the time of travel in terms of the distance traveled....
identify the vertex on no.6
Find an equation of the parabola. f(x) = у 10 X -10 5 10 (0,-4) (-2,-8) -101 6. [-/3 Points] DETAILS Write the quadratic function in a(x-h)^2+k form. f(x) = (x - 6)² + 9 f(x)= Sketch its graph. 20 16 14 12 10 8 8 4 2 . -20 -18 -16 -14 -12 -10 - -8 4 -2 2 6 8 10 12 14 16 18 20 -2 No Solution -6 -8 -10 -12...
Suppose f is a differentiable function of x and y, and g(r, s) f(8r - s, s2 - 5). Use the table of values below to calculate g(4, 6) and s(4, 6) fx (26, 16) 6198 (4, 6)1652 (4, 6) g(4, 6)- The temperature Tin a metal ball is inversely proportional to the distance from the center of the ball, which we take to be the origin. The temperature at the point (2, 1, 2) is 140°K Find DuT, the...
Consider the following. у 6 FO, 5) 4 (1,4) 3 (1, 2) .(2, 1) - 1 2 3 (a) Sketch the line that appears to be the best fit for the given points. у 6 6 (0,5) (0.5) (1, 4) *(1,4) 3 3 2(1, 2) 2/(1, 2) (2, 1) (2, 1) 1 2 3 2 No, 5) (0,5) (1, 4) (1,4) 3 3 21, 2) 2(1, 2) 1(2, 1) (2, 1) 1 - 1 1 2 3 -1 2 -14...