AI P A2 a) Find P & Q b) Find the areas of P₁ & A2 y=sinx y=sin2x

Q: = lim r++m et + ex et - e-x

A:

Q: Fond Particular Solution of the Lifferential equation 13 Y = 6 (²53x - 8 1 Y"+ 4y¹ + Yo 85in3x y (0]…

A: We have to find the particular solution of the differential equation y'' + 4y' + 13y = 6 cos3x - 8…

Q: Solve the Bernoulli differential equation 3(1+x²) y = 2xy (y³1)

A:

Q: c) f t√t + 4 dt e) S X 25+16x² dx 25+16x² d) f 25 dx x (19wansoy dilquma) dx 25+16x² f) S

A:

Q: A) True B) False The differential equation f(x)dx + g(y)dy = 0 is exact. ...

A: Let's find given differential equation is exact or not.

Q: Use the fact that sin ? =???−?−??/ 2?( e raised to the power i t minus e raised to the power…

A:

Q: Please show your answer to 4 decimal places. Suppose that f(x, y) = e 2²-2y²-2x-y then the maximum…

A: See this solution in below.

Q: Evaluate the indefinite integral: [32 3z¯³ +4z¯² + 4z¯¹ dz = ← + C.

A:

Q: Calculate the first, second, and third derivatives of 11 41 + x (Use symbolic notation and fractions…

A: To calcylate the first, second, and third derivatives of yx=1141+x

Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 32, and y3 of the…

A:

Q: find f(-2). x+5 if - 3 ≤ x 4

A:

Q: A Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What…

A: Let's find multiplication of factors of given differential equation.

Q: Suppose f and g are the integrating factors for xy' + 2y = x and xy' - 2y = x, respectively. What is…

A: Let's find integration factors.

Q: 14.5y² + y-6 15. 2r-r-3 16. 3m² + 7m + 2 17.3y² + 14y +8 18. 8v² + 13v - 6

A: Since you have posted multiple questions, we are supposed to only first three questions. If you want…

Q: Find parametric equations for the normal line to the surface at the indicated point. (Recall that to…

A: Here we have to find the parametric equations for the normal line to the given surface.

Q: 2. Find the solution of the given initial value problem. y" — 6y' +9y = 0, y(0) = 1, y'(0) = 2.

A:

Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

A:

Q: If f(x) = 3 x² 2 find f'(4).

A:

Q: write 20190 as a mixed fraction.

A: Given question:- write 201/90 as a mixed fraction.

Q: Price(q) = 10300 * 0.780.119 +0.119². Find the quantity that minimizes price

A:

Q: 2. Find the domains of the functions f(x, y) = ln (x² − y) and g(x, y) = 14 y²-x²

A:

Q: dy dx + ² = y² dx x (Bernoulli's equation)

A: Solution

Q: Find the derivative: Y = y' - 10 sin(x) + 3 5x9 - 2 =

A: The given function is y=-10sinx+35x9-2 We have to find the derivative of the function

Q: Find derivative of the function (5t^2 / 3t^2 +2)^3 using the chain rule.

A: The function is given by y = 5t23t2+23 To determine: The expression of the first derivative of the…

Q: Evaluate the integrals for f(x) shown in the figure below. The two parts of the graph are…

A: Note to student : Hello. The submitted question has 4 different parts. As per Bartleby answering…

Q: The graph of y = f(x) is shown below. Provide your answer below: -7-6-5-4-3-2- 1 2 Draw the graph of…

A: Given query is to find the graph after transformation.

Q: h (x) = x² lnx, at

A: Topic:- function and it's derivative

Q: Consider the following function. 1 f(x) = x² - 3 Determine whether f(x) approaches ∞ or -∞ as x…

A:

Q: A tank initially contains 100 liters of pure water. A brine solution con- taining 2 kilograms of…

A: We have to find the time at which concentration= 1/5 kg

Q: Find the following derivative and state a corresponding integration formula. 3x - 1 2x2 + 2x + 2 d…

A: Derivative

Q: dN N+² N = 1; N(2)=8.

A: A differential equation of the form dydt+p(t)y=q(t) is called linear differential equation and its…

Q: QUESTION 4 Evaluate tan³3x dx 01 1 tan3x -x +C tan ³3x + C tan ³3x + C tan3x - x +C

A:

Q: h(x)= (1x - 21 14 - 2x if x # 2 if x = 2

A: Given: At x=2, h(2) = 0. So, the function can be written as h(x)=|x-2|. And the function is…

Q: For the function f graphed below, find the following limits. If a limit goes to oo, write "inf". If…

A: The graph of the function fx is To evaluate: The value limx→-∞fx

Q: 12. S dx x³+1 dr

A:

Q: Use cross products to find the area of the triangle in the xy-plane defined by (1,2), (3, 4), and…

A:

Q: y=-x√361-x² the graph. y=-x√361-x. Find the total area of the shaded

A: Given  find intersection

Q: 5. For the constant numbers a and b, use the substitution = a cos² u + b sin² u, for 0 <u<, to show…

A:

Q: Transform the differential equation y = 1+ ²+2y-3 into a separable differential equation (with form…

A: To solve DE.

Q: lim x→16 1 √x-4 8 x-16

A: Topic- Limits We are given limx→161x-4-8x-16and we know thata2-b2=(a-b)(a+b)

Q: Evaluate the integral and check your answer by differentiating. [ (2 + 2y²) ² dy = = + C

A: ∫(2+2y2)2dy

Q: 3x²+2x²+x iii) fi dx

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

Q: Find the solution of the given DE. 1. y' + y = xy(1) = 0, x

A:

Q: (c) Give one example where the Green theorem fails, and explain how.

A: Green's Theorem

Q: Find all values of x, 0 < x < 2π, for which the graph of f has a horizontal tangent (= all points at…

A:

Q: b) Use the ratio test to determine whether the series k Σk² +1 converges. If the test is…

A:

Q: 5) g(x) = ²³√x log ₂ x₁ 2 + x = 8 at

A:

Q: If f and g are the functions whose graphs are shown, let u(x) = f(g(x)), v(x) = g(f(x)), and w(x) =…

A:

Q: lim x→0 sin 3x sin 4x sin 4x sin 6x ||

A: We need to find  out the limit.

Q: A mass on a spring bounces up and down in simple harmonic motion, modeled by the function s(t) = 8…

A: