6. Solve for x log2 (x + 7) + log 2x-3. a) x+7=3 b) 1 c) not possible x d) none of these 7. Evaluate log, a) x b) c) not possible d) none of these 8. What is the solution of -764? a) -2 b) 0 c) 2 d) 10 9. Find the approximate value of the expression log 16 160 a) 0.54 b) 1.83 c) 2.20 d) 0.9 10. Find the value of the expression 2.5 b) 12.2...
Use log, 3 * 0.583, log, 5 0.821, and log, 7. 1.064 to approximate the value of the given logarithm to 3 decimal places. Assume thath > 0 and b + 1. log) 21 5. Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much possible. Assume that all variable expressions represent positive real numbers. log, (v) + log2 (x2 - 9) – log2 ( +3) - Write the logarithmic expression as a single logarithm...
cos 5x 2. Please verify that sin5x Sin x = 4COS 2x cosx 3). Kindly draw the graph of each function. ). Find and show the x and y intercepts. Find and show all asymptotes, if they eatest a). f() =-3X +9 b) g®) = (x+3)(x+2). c) h) = x+3x –10 d). f®) = 3 log2 (x +4)-1 e). M(x) = -4 sin (3x-7)+ 7 (oeier x-1 L Vaa
Please write out and show steps
Problem 9. Find z a) logs b) log, log, 4- log, 8+2 log, 2 c) log, d) log, (r+2)+log, x = log, 24 log,8log, 9-log, 6 T = 3 log, 2+log, 25-log, 20 HEWLETT PAC 144 9% 7 T G H
Consider the initial value problem for function y, y" – ' - 20 y=0, y(0) = 2, 7(0) = -4. a. (4/10) Find the Laplace Transform of the solution, Y(8) = L[y(t)]. Y(8) = M b. (6/10) Find the function y solution of the initial value problem above, g(t) = M Consider the initial value problem for function y, Y" – 8y' + 25 y=0, y(0) = 5, y(0) 3. a. (4/10) Find the Laplace Transform of the solution. Y(s)...
1. Order following function by growth rate: N, √N, N1.5, N log (N), log (log (N)), log (N) log (N), N2, 2N, 200, NN 2. Give a useful Θ (big Theta) estimation for each of following function t(n). a. t(n) = 122 * 212 b. t(n) = 2log2(n2) + log4(n ) + (log2 n) 2 + (log2 (202)) 2 c. t(n) = 3t(n/2) + n d. t(n) = 3t(n/2) + (n+1)(n-1) e. t(n) = 4t(n/2) + (n2 + n-1) f....
3. DO NOT USE CALCULATOR for this problem! Find the EXACT VALUES for all the parts. Given the function f(x,y) (a) Calculate the total differential of z at the point (x, y, z) (b) Use the total differential to estimate the value of f(1+2(10200),-1 3(10-200). [ Hint : dz= 2(10-200) dy=_3(10-200)]. (c) Calculate the exact diffe ( f(1.-) I Note: total differentiala exact difference. ] rence of f(1+2(10-200)10 200))- (d) Find an equation for the plane s-L(x,y) tangent t(:-: f(z,y)...
can you do the odd #'s
In Exercises 64 -69, sketch the graph of y g(x) by starting with the graph of y f(x) and using transformations. Track at least three points of your choice and the vertical asymptote through the transformations. State the domain and range of g. 64. f(r)=log2(x), g(x) = log2 (ar +1) 65. f(r) log (), g() log () +1 66. f() log3 (r), g(x)-log3(x - 2) 67. f(x) log(ax), g(x) 2 log(x + 20) -1...
6. Suppose that, when a function f is graphed on a semi-log plot, it appears to be a line Y = mx + b, where m, b > 0. Compute the function f(x). 7. Repeat the previous problem, except for a log-log plot: Suppose that, when a function f is graphed on a log-log plot, it appears to be a line Y = mX + b, where m, b > 0. Compute the function f(x).
Question Completion Status: What is the equation of the function graphed below? 10 5 5 0 10 OA O(x) = (17) ** g(x) = 1092(x - 1) g(x) = log2(x + 1) с COO(2)-()*** MacBook Pro & 3 4 96 5 6 7 8 02 E R T Y U O P D F G . H к L < C V B N M 0 5 -5 1 O A g(x)=1 06)= (3) ** B g(x) = log2(x-1) g(x)...