3. For each function, use the differential to evaluate Ay due to the given changes inr Assume tha...
Evaluate piecewise-defined functions Question Given the following piecewise function, evaluate /(-4). - 4x + 3 f(x) = x < 0 Osr<3 3S 2? + 2 Do not include "f(-4) =" in your answer. Provide your answer below:
y = 3x0+ QUESTION 2 Solve the given differential equation. (The form of yp is given D2y + 25y = -5 sin 5x (Let y p = Ax sin 5x + Bx cos 5x.) sin 5x + c2 cos 5x + x sin 5x - 1 x cos 5x Oo oo cos 5x + = x cos 5x y = C1 sin 5x + C2 cos 5x + 5x sin 5x y = C1 sin 5x + C2 cos 5x...
need help solving and checking answers
Evaluate each function for the given value of x, and write the input and output as an ordered pair. Need help? Check out these resources: http://virtualnerd.com/algebra 1/linear-equation-analysis/point- slope-standard-form/standard-form-examples/write-linear- equation standard-form-slope-point 27. f(x) = 3x - 7 for x = 6 28.g(x) = 9x - 5 for x = 3 29.h(x) = 12x for x = 4 30.t(x) = 8x - 5 for x = 7 Linear Functions and Slope Intercept Form You can use...
4. Evaluate loga(-3), when loga(VT) = 0.2. 13 marks) 5. The function z is given as: z=f(x,y) = 2x2y - 5xy - y sin (xy) Show that a2z дхду az àyox (8 marks]
Score: U 2.5.95-LS A person x inches tall has a pulse rate of y beats per minute, as given approximately by - 1/3 y = 576x for 30 sxs 75. What is the instantaneous rate of change of pulse rate for the following heights ? (A) 33-inches ig (B) 70-inches What is the instantaneous rate of change of pulse rate for a 33 inch tall person? ady beats per minute per inch (Round to the nearest hundredth as needed.) -ad...
2. 10 23 x · [In(x)]2 Jg x+2 In Problems 1-26, evaluate each improper integral, or show why it diverges. po 1 5 1. dx dx 2 3. dx 4. dx 13 1 + x2 5 X 5. dx 6. dx x. In(x) Jo 1 + x2 1 7 dx 8. dx -2 J3 (x - 2)2 1 1 9. dx 10. dx (x - 2) 1 11. dx 12. dx J3 (x+2)3 14 1 1 13. dx 14. dx...
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)...
By 5. (a) Verify that y = {24 sin x is a solution to the differential equation dx2 dy + 5y = 0. dc [10 marks) (b) Differentiate the following functions with respect to c: (i) In(1 + sin? 2) (ii) * 2x3 - 4 - 8 dc. (c) Evaluate the integral / 272 * +432 – 4.7" [15 marks] [25 marks] 6. (a) let f: R+R be a function defined by f(x) 3 + 4 if : 51 ax+b...
1) Solve the problem. 1) The resale value of a certain industrial machine decreases over a 10-year period at a rate that changes with time. When the machine is x years old, the rate at which its value is changing is 280(x - 10) dollars per year. By how much does the machine depreciate during the fourth year? A) A decrease of $1540 B) A decrease of $1820 C) A decrease of $8960 D) A decrease of $1680 The slope...
need answer for qustion2&3.
5:17 childsmath.ca on the answer sheet below. Problem #1: On a certain island, there is a population of snakes foxes, hawks and mice. Their populations at time t are given by st), f(), h), and m(t) respectively The populations grow at rates given by the differential equations 0h + h'= m - 4+- m' u유-49 +/준-s유 Putting the y) [s)f() h() m(t)]7, this system can be written as y' Ay four populations into vector Find the...