The general solution of y" - y = x²ex + 5

Q: II. Solve the following problems. Enclose final answer. 3 3. The Critical Point of y = xe-*

A: The critical points can be obtained by letting its first derivative equal to zero.…

Q: Lim (112²28 - 1²/²) \sin²x

A: Given problem:-

Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

A: We have to solve a part 1 and part 2.

Q: 5. Given z = arctan (), Find az/ay

A: We can find the partial derivative wrt y as below.

Q: f(z) = zz° +z-4); [-1,2]

A:

Q: 8. (a) Show that (b) Evaluato 1/3 3 √1+9x² -4x4 dx dx = ln(1 + √2).

A:

Q: Two functions are defined as follows: f(x)=7-2x² and g(x)=x²+4 (a) Use ANY graphing tool to…

A: Here We have to find the point of intersection of the two curves.

Q: 1. Find the limit. lim x118 5x³ + 3x² X- 7x²

A:

Q: 1. Solve for x and y in xy + 8 + j(x2y + y) = 4x + 4 + j(xy² + x) A. 2, 2, B. 2,3 C. 3,2 2.…

A: We can find the values of x and y. Note :As per our Guidelines , we can solve first question…

Q: 7. The particular solution of (D³ - 5D + 4)y = 0, when x = 0, y = -2, y' = 8, y" = 0

A:

Q: T Shift Ctrl -3 S x²4x +3 2 1 X(X + 1)² dx

A: First we take partial fraction then integrate.

Q: For questions no. 2 and 3. Given: A thermometer reading is 60°F at 3:00AM and a Civil Engineering…

A:

Q: 1. If F(x)= = ² e²² et² dt, find F(1) and F'(x). ez

A:

Q: 4. 27x³ − 9x¹ +3y¹ -23x² +13x -7 = 0

A: Find out the derivative of the function.

Q: A certain tank of depth 10 ft is a surface of revolution formed by rotating y = x² about its axis.…

A: Given : tank depth = 10ft And eqn y=x^2 Find work done?  Formula used : work done = mgh

Q: (a) Find the point of intersection of the tangent lines to the curve r(t) = (2 sin(at), 3 sin(at), 5…

A: We have to find equation of tangent.

Q: The solution set of 1-2x +21=4 {-1,5) AO {-1,2} BO {-1,6} .CO {-1,3} .D O

A: We have to find solution

Q: B. Determine whether the following definite integrals converge or diverge and evaluate each…

A: Given problem:- Determine whether the following definite integrals converge or diverge and evaluate…

Q: 1. For questions A and Given: Radium decomposed at a rate proportional to the qualit of radium…

A:

Q: Q9. The Laplace transform of the function u: [0, ∞o) → R (t−2)² + (t− 2) sin(5(t-2)), u(t): can be…

A:

Q: (12) Sz sec¹z dz.

A:

Q: The range of the function f (x)=6x-8 is all integers numbers. صواب

A: Here, the given statement is: The range of the function f(x)=6x-8 is all the integer numbers.

Q: Integrate the equation using the method in trigonometric

A:

Q: 2. Continuity. Find all points where the function is discontinuous and identify which condition(s)…

A:

Q: 8. 位 dx √x

A:

Q: 8.A kite at an altitude of 200 ft. moves horizontally at the rate of 20 ft/sec. At what rate is the…

A:

Q: In(x+2) 1. S dx 2x+4 2 2. fx² ex dx 3. f tan³x dx 12

A:

Q: 5. S Evaluate the integral, if it exists. du √u - 2u² Ա

A:

Q: 4. Find the general solution to each of the following differential equations. (a) 2xy² - 1 +…

A:

Q: II. Solve the following problems. Enclose final answer. 9. A gutter with trapezoidal cross section…

A: Concept: Area of the base of the trapezoid =12(sum of its opposite sides)×height We know that the…

Q: Differentiate the function and simplify the final answer. y = 2xsin x - x^2cosx

A: Given,y=2xsinx-x2cosx

Q: Given x4 (x + y) = y2 (3x - y), use implicit differentiation to find dy/dx

A: Given: x4 (x + y) = y2(3x - y)

Q: (a) The total surface area of an open cylinder is 27 cm³ given that radius, rcm. i. Show that the…

A: Given that; Total surface area of am open cylinder is 27pi cm^3. Radius r cm.

Q: If ye cos x 8 lnx, find f'(x).

A:

Q: A. Determine whether each integral is improper. If it is improper, give your justification. 1. ft x²…

A: The given integral is improper. An improper integral is a definite integral in which the integral is…

Q: Lim (112²x - 21²) (sin²x x-0

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

Q: Solid S is bounded by the given surfaces. (1) Sketch S and label it with its boundaries. (2) Give…

A: We have to find the volume.

Q: (√t-9) dt

A:

Q: 2.2 5 (2x² – 3x) dx

A: We have to evaluate

Q: The Maximum point of y= (x²+2x+10) (x-3)

A: Given    find derivative

Q: Find the distance between the two straight lines and x=1+1, y=2, z= −1+2+ x=2-t, y=3t4t, z=2t at the…

A:

Q: Find x, y and z, if the matrix A = a) x= 2₁ y= V₁ = √3 b) √√6 =√², y = x= 2= c) None of these d)…

A:

Q: et +ex -x²-2 Lim- x-0 sin²x-x²

A:

Q: Lim x sinx x→ 0+

A:

Q: Sx [x²cox dx U. V x² Sax - S(α (x²) [ cond) dx dx x² (sinx) - -S 2x Sinx dx U. V. x² sinx - [2x…

A:

Q: Which of the following is the formula for the length of the arc, L, of the curve y = f(x) such that…

A: The answer is given below:

Q: limx→∞ x - 3 x + 1 2

A:

Q: 9. A gutter with trapezoidal cross section is to be made from a long sheet of tin that is 4√108…

A: Given that the width of the sheet is = 4108 inches. On each side turn up 108 inches. So the length…

Q: y = x and y = x²

A: We will use simple Integration rules to find the area of the region bounded by the curves y=x and y=…

Q: 1. The Maximum point of y=

A: