1. (algebra review) Solve the equation 3x'z+4x-e'z+5z-sin(x) for z. Clearly show your work and thinking. 2. (algebra review) Solve the equation sin(o)('y+21)-y'+5-ycos() for y. Clearl...
(1 point) Solve the following differential equation: (tan(x) 8 sin(x) sin(y))dx + 8 cos(2) cos(y)dy = 0. = constant. help (formulas)
1. Find the particular solution of the differential equation dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x) satisfying the initial condition y(0)=4y(0)=4. 2. Solve the following initial value problem: 8dydt+y=32t8dydt+y=32t with y(0)=6.y(0)=6. (1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
Consider the differential equation: (7y sin(xy) + 2 sec x) dx = (2 lny – 4x sin(xy))dy Note: Do not use square brackets in your response, use normal parantheses if you have to, i.e "0" Then aM ду and ƏN ax Is this equation exact? Yes No Consider the differential equation: sin(x)dx + 5y cos(x)dy = 0 Which of the following can be an integrating factor to make the equation exact? Select all that apply. On=e-54 On=tan(x) Ju=e-542/2 On =...
Please Answer the Following Questions (SHOW ALL WORK) 1. 2. 3. 4. Write an iterated integral for SSSo flexy.z)dV where D is a sphere of radius 3 centered at (0,0,0). Use the order dx dz dy. Choose the correct answer below. 3 3 3 OA. S S f(x,y,z) dx dz dy -3 -3 -3 3 OB. S 19-x2 19-32-22 s f(x,y,z) dy dz dx 19-x2 - 19-2-22 s -3 3 3 3 oc. S S [ f(x,y,z) dy dz dx...
please show steps cleary 7. Solve the following equations for x: b)3(2x-5)-(2-3x)--2+4x 9 15 5 c)H x-μ e) x3+8x2+15x-0 1 (4x-5)2-5-20 (use the square-root method) g) Solve using the quadratic formula: 3x2+2x -8-0. Show your steps clearly. x+4x-8-0. Show your steps clearly h) Solve by completing the Square: 8. Determine an equation for the line a) with slope of 5/3 and y-intercept of 5: b) with slope 7/6 and passing through the point (6.2) parallel to the line in #...
4 and 5 in the bottom pls help ge Algebra Final B y College of Denver SP 2019 4. A rational function fix) has asymptotes of x 2, x 2, and y- 3. The x and y intercepts are (-1, 0), (1, 0) and 0, 3) a) Find the function, fax). b) Graph the function. -5 -5 Asx-oo, f(x)-> Find all the solutions to the nonlinear equation. Show all your work for credit 3x-y--28 У x2 +10 ge Algebra Final...
1. Consider the multi-variable function g(x, y) = x²y+ln(xy) – y3+V1 – 2-sin(my) (a) (4 marks) Answer the following questions regarding the domain of this func- tion. (i) If y>0 then what values of x (if any) are permitted? (ii) If y < 0 then what values of x (if any) are permitted? Your answer must include some justification of how you arrived at your con- clusion. Please upload these as ONE answer for question 1(a) but clearly label them...
) What is the relationship between a projectile’s range and its elevation angle (derive the equation)? Show your work.2) Clearly explain how you will determin
PLEASE SOLVE NUMBER 3 AND SHOW ALL WORK 1.Find the particular implci solution to the difterential equatiothat satisfies the condition 1. Find the particular implicit solution to the differential equation dx y y(7)- v5. Sketch a graph of your solution. 2. Write and solve the differential equation the models the verbal statement. Simplify the explicit solution. Temperature of the body and the constant temperature of its surrounding medium M." of a body is directly proportional to the difference in the...
Solve the following problems. Show your work clearly. Question 1 (25 points): Let f(x) = x5: (A)Determine whether fis one-to-one by using a geometric method. (B)“The inverse function of f(x) = xs is equal to the inverse function of f(x) = x5 +6" Is this statement true or false? Justify your solution steps. (C) Solve the equation ex®+6 = 7. Determine whether the solution changes or not when ex* = 7. Compare your solution steps by using the properties of...