Which of the following is the general solution of the differential equation y' = y sinx. A. In lyl-sin x = c B. In lyl + cosx = C c. In lyl-cosx «c D. In lyl + sinx-c E y = = cos x + C

Q: 4. Evaluate the following and give the exact value: π/2 cosy -y π/6 0 'y sin(y+z) dz dx dy

A:

Q: Determine the general solution/particular solution of each of the following DE's tan ydx…

A:

Q: 2. lim tan x x 플 →

A: The given limit is limx→π2-tanx

Q: 2. y=2coshx; y"-y=0

A:

Q: 46. 5. In x X dx

A:

Q: (2xy — sin x)dx + (x² − cos y)dy = 0 -

A:

Q: 1. Evaluate the following integral Si -10 2t²cost 8(t-n) dt

A:

Q: 123 m33 4-3 2

A:

Q: Set up and evaluate the definite integral required to find the area of the region between the graph…

A: Given data:- The given equations, y=x2-18y=3x-14

Q: Using disks or washers, find the volume of the solid obtained by rotating the region bounded by the…

A: Recall: Disk method

Q: Complete the square and find the vertex form of the quadratic function. f(x) = − x² + 8x − 62 - f(x)…

A: Given, f(x)=-x2+8x-62

Q: Find the most general antiderivative of each of the following functions. Verify that your answer is…

A:

Q: Consider the region between the graph of y = The graph intersects the z-axis atz = intercepts,…

A:

Q: Let f(x) = 3x² -6x+7. You must show all your algebra. is worth zero points. a) Find the axis of…

A:

Q: Let  Let g(x)= ∫x0 f(t)dt  (a) Evaluate g(x) for x

A:

Q: demand functions for a pineapple is given by p=-10x+15.  a.) find the revenue function b.) how…

A: Given query is to find the revenue function and price that maximize the revenue and the number of…

Q: 8. X lim 2 xxx +8x

A:

Q: * Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter…

A:

Q: 23. Determine the particular solution of the following differential equation: y' 2y Where: x=1;y=1.…

A:

Q: 10. f(x) = x²-1 x-1

A:

Q: Let f be a differentiable function such that f (3) = 4 and f' (3) = 5. If g(x) = x² f (x), what is…

A:

Q: Evaluate [ cos²x = 2

A:

Q: 1 + 1 = 3 if and only if 2 + 2 = 3. True or false? If 1 < 0, then 3 = 4. True or false?

A:

Q: x f(x) A. -3x B. - C. H 2n D. -3 E. -R 2 An <-3 -1 2 The table above gives values for the function…

A:

Q: 8 3 ST 5 7 f(x) f'(x) -1 8 4 3 6 -2

A:

Q: If f(t)=√√²+2√√3³, find f'(t).

A:

Q: Solve the following quadratic equations using elimination method:

A: Given,            The system of equations are            3x-4y+20=0            2y+3x+8=0To find :…

Q: Find the derivative of f’(x)= 6 √X - 1/X^3 And f’(x)= -6 √X - 1/X^3 •One has a negative 6 and one…

A: The given function are  f'(x)= 6√x -1/x3  and f'(x)= -6√x -1/x3  We have to find the derivatives of…

Q: In Exercises 29 and 30, find the values of x (if any) at which f is not continuous, and determine…

A:

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (x+5…

A: Given function,f(x)=x+5if x≤-12xif x&gt;-1

Q: Question 10: x + 2z = 1 2y-z = 8 xyz = 0

A: Topic = Linear equations

Q: 7) Solve 5 3 x-6 x + 2 IV and give your answer in interval notation.

A: Here we just have to simplify the expression. See below the calculation and answer

Q: 2) (y² co cos x - sin x) dx + (2y sin x + 2)dy = 0

A:

Q: Q15b. Define the sets A, B, C, and D as follows: A = {y ∈ Z : 2 < y ≤ 9 and y is odd}. B = {1, 4, 6}…

A:

Q: y = e(c₁ cos 2x + c₂ sin 2x)

A: y = e-x(c1 cos 2x + c2 sin 2x) So, y' = - e-x(c1 cos 2x + c2 sin 2x) + 2e-x(- c1 sin 2x + c2 cos 2x)…

Q: how did you break up 3x-2 into 3/8(8x+4)-7/2? is there a method or formula to follow into deciding…

A:

Q: Solve the differential equations below by using any of the following methods only: - Variable…

A:

Q: Consider the function y = f(x) = x² + 15x + 56 and the x-value xo 5 (a) Find a formula for the slope…

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A:

Q: Find the solution of the given differential equations. 4. y' y+1 y(3)=-1

A: The given differential equation is y'=x2y-yy+1; y3=-1 We have to find the solution for the…

Q: Find the following limit. lim (-x² +9x-1) X-6

A:

Q: (1 t) Let A = (2, -3) and B = (-3, 3) be points in R², and let C = (4,-4, 4) and D= (2, -3,-1) be…

A:

Q: 7. 5400х4 -

A: Find the value of sqrt(400x^4)

Q: Use the Vertical Line Test to determine whether the graph represents y as a function of x.   Yes,…

A: NOTE: Refresh your page if you can't see any equations. . if a vertical line intersects the graph…

Q: Problem 1: Using differentials, approximate the change in the total surface area of a parallelepiped…

A:

Q: Use the given conditions to write an equation for the line in point-slope form and in…

A: I am attaching image so that you understand each and every step.

Q: A television camera at ground level is filming the lift-off of a space shuttle at a point 750 meters…

A: As we know that cosθ=BaseHypotenus for a right angle triangle.

Q: 17. [x — y arctan(y/x)]dx +x arctan(y/x)dy =0.

A:

Q: What value should be assigned to f(c) to make ƒ right-continuous at x = c? (Give your answer as an…

A:

Q: Answers are there but show the solution

A: Evaluate each of the following integrals. (2). ∫cos3x dx (3).  ∫cos3y sin3y dy