Question 8 2.5/2.5 pts Determine the resulting function when the differential operator, D2- 2D + 4...
QUESTION 11 Find a differential operator that annihilates the given function. xºe-3xsin (-12x) +X A[(D+3) 2+144]+D2 os (0+3)2+144]10 ocllo-3)2 +144]10 ool(D-3)2-144] 1070 Oe [(0+3)2-144]10
will upvote if answers are correct with working Question 24 4 pts Find an equation of the tangent plane to the surface x2 + y2 += 704 at the point (8. - 8, 16). 16(x-3)-96y+8)+ 32-16) = 0 16(x-8)- 48(y+8)+ 32(2-16)=0 16x-8)+ 963 +8)+ 32(-16)0 16x-8)-96(+8)+ 163-16) = 0 16x-8)-96y+8)- 327-16) = 0 Question 25 4 pts Examine the function f(x,y)=x) - 6xy + y + 3 for relative extrema and saddle points. saddle points: (0,0,3),(2,2,-5) relative minimum: (0, 0,...
Question 2 Find the indicated function value. Find f(-4) when f (x) 2² +4 23 62 O-2/7 0-5/16 0 - 1/2 O-2/5 Question 3 BILI SUULILULUI NV, O Question 5 3 pts Find the indicated function value: f(3) = 5 - 8a, g(x) = -3x + 8. Find (f + 9) (x) - 3x + 5 - 5x + 13 0 - 11x + 13 2x Question 6 3 pts Find the composition of functions: f(x) 70? + 4x, g(x)...
Question 12 The graph of a quadratic function is given. Determine the function's equation. -10 -10-8-6-4 8 10 x 8.d. j(x) = -x 2 + 2 g(x) = -x 2 + 4x + 4 f(x) = -x2 - 4x - 4 h(x)=x².2
Question 1 5 pts Determine the Laplace transform of the given function f(t) = teu cos 4t OF(s) = (8-4)2-16 [18-4)2+16) None of them OF(8) (8-4)2-16 [(-4)2+4)* (8-4)2-4 [(8-4)2 +16] OF(s) Question 2 5 pts The general solution for the differential equation with x as the independent variable to y(4) - y" – 9y' +11y +6y=is_(Hint: y(x) = e(1- 2) is a solution.] 32 + Cle2 Oy(x) = cze(1+x2)x + cze(1-12x + c3 e3x + c4e-2x y(x) = cjell-v2)x +...
Problem #4 Solve the initial value problem as follows: dy dy +4+ (4 x +y) Then determine the positive number r such that - -4.04. Round-off the value of this positive number x to FOUR figures and present it below (12 points): your mumerical result for the ae ust be written here) Also, you must provide some intermediate results obtained by you while solving the problem above: 1) The substitution used to solve the differential equation is as follows (mark...
32 , 42 332 CHAPTER 4 Polynomial Functions and Rational Functions 56.7x2 + 4x In Exercises 5 g(x) 57. What are 58. What is th 59. Given an inputs. 60. Movie Tic movie tic years, risi (Source: ers). Usin function, Let xrерr Then use price of a Using synthetic division, determine whether the numbers are zeros of the polynomial function. 31. -3,2; f(x) = 3x + 5x2 - 6x + 18 (32. -4,2; f(x) = 3x + 11x? - 2x...
Find the equation of the tangent line to the curve when x has the given value. 7) f(x) = 4,x=5 8) f(x) = }x=3 11) Solve the problem. 11) The profit in dollars from the sale of thousand compact disc players is P(x) = x3 - 5x2 + 3x + 8. Find the marginal profit when the value of x is 6. 12) 12) Ir the price of a product is given by Px) E 1200, where x represents the...
Test: Test III This Question: 7 pts 15 of 16 (0 complete) Determine the intervals on which the following function is concave up or concave down. Identify any inflection points. f(x) = x² - 4x + 9 Determine the intervals on which the given function is concave up or concave down. Select the correct choice below and fill in the answer box(es) to complete your c (Simplify your answer. Type your answer in interval notation. Use integers or fractions for...
This Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (a) Find f(-14) and f(-6). (-6,6) 8 (12.4) 4 (-12.0) (TO) f(-14) = f(-6)= A (0-2) (8,0) 1-14.-4) (b) is f(4) positive or negative? -8 is Question: 4 pts 16 of 26 (0 complete) Use the graph of the function f shown to the right to answer parts (a)-(h). (-6,6) 8 (12.4) 4 (c) Is f(-4)...