5. Given z = arctan (), Find əz/ay

Q: The length of a rectangle is given by 4t - 3 and its height is √21, where t is time in seconds and…

A: We know that area of a rectangle is defined as (length of rectangle)(Height of the rectangle)

Q: L(sin 2t cos 2t) Your answer

A:

Q: Question 2 Given a differential equation as d²y dy 2². - -3x- +3y=0. dx² dx By using substitution of…

A: Let's solve diffrential equation by using substitution x=e^t  or t=ln(x).

Q: 9. What is the general solution for the differential equation y"" - 3y' - 2y = 3x? A. y C₁x +…

A:

Q: Question 2 Given a differential equation as d²y-5x dy +9y=0. dx² dx By using substitution of x = e'…

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A:

Q: Find L(e³t cos 2t)

A:

Q: 1. The Maximum point of y=

A:

Q: Two small planes approach an airport, one flying due west at 100 mi/hr and the other flying due…

A: Solution is here

Q: Find Laplace 2 2 [sin(34) + 65inh czt) ]

A:

Q: 5. Find the volume of the tetrahedron bounded by the coordinate planes and the plane 3x + 6y + 4z -…

A:

Q: Find ?хду of z = x3 + 5x² y + 6

A:

Q: a²z Find of z = In(xy) a²y

A: To find out the double partial derivative with respect to y

Q: 4. When solving an auxiliary equation of a certain differential equation the roots m = 1 ± 2j are…

A:

Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

A:

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line (y…

A:

Q: 1. INTEGRALS AND ITS APPLICATIONS x2- √(¹-2)² dx S

A: Solution is here

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 73°C, it…

A:

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

A:

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: The region bounded by y = 3x - 9 andy = -3x2 + 18 x - 9 revolved about the y-axis. Find the volume…

A:

Q: What is the equation of the line tangent to the function y = 2³+7x² + 5x - 2 at x = 0? There can be…

A: Application of differentiation

Q: Find the length of the curve y=In (cos x), -≤x≤0. The length of the curve is. (Type an exact…

A:

Q: ƒ (x, y) = ln (√√x²y³) f

A:

Q: PLEASE ANSWER THIS USING YOUR OWN ANSWERS. DO NOT COPY ON INTERNET. IF YOU SEE THIS QUESTION AGAIN,…

A:

Q: In evaluating S dx is same as evaluating lim C-3+ (In(f(x))). Determine the value of f(x) if x=3.4.

A:

Q: Evaluate: L{cos(3+2t)} s cos3+2sin3 A s² +4 S (B (s+3)² - 4 S (s+3)² +4 s cos32sin3 s² +4 (c) (D)

A:

Q: limx→∞ x - 3 x + 1 2

A:

Q: Evaluate the following indefinite integral using Partial Fractions S x² +4 (x²+4x+3)(x-2) dx

A:

Q: 3/ find the area for the region in the first quadrant bounded by the curve (y = 4x - x²) and line…

A: We can find the area as below.

Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

A:

Q: (a) Verify that tanh P-tanh Q 1-tanh P tanh ọ tanh( P – Q)

A:

Q: (D5+ D4-7D³ - 11D²8D-12)y = 0

A:

Q: Which of the following methods can be applied to find a particular solution yp of y" +y = cos(ex)?…

A:

Q: Compute the Fourier cosine series for the given function f. a) f(x) = π - x, 0<x<T

A:

Q: Find the domain of R. R(t) In(1 t) √t+1, e-¹/|t| {(VEFT, 0-10m, bu(1-2)}) t = (1,0,-1) " , if t #0…

A:

Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: Suppose that it + [[ f(x, y)dA - 26 and ₂⁹(2, 3)dA R R (A) The value of [kf(x, y) + g(x, y)]dA is […

A:

Q: The Critical Point of y = xe*

A:

Q: Using Trapezoidal method √²³x² dx for n = 4 is equal to

A:

Q: Lim (112²28 - 1²/²) \sin²x

A: Given problem:-

Q: Show all the necessary figures and solutions to each of the following problems. 1+x² 1. Find the…

A:

Q: /Find the directional derivative of the function (f(x, y, z) = x + xcosz-ysinz+y), P₁(0,1,2). at…

A:

Q: A car is travelling at the rate of 88 ft/sec when the brakes are applied. The car begins to…

A:

Q: tan (3x) lim x→0 sin (2x)

A: Given query is to find the limit of the expression.

Q: lim (x-7) tan x x→2 플

A: The objective is to evaluate the limit.

Q: 3 [²(x²) dx 0 Using the definition of definite integral, ff(x)dx= lim f(x) Ax, and the given…

A: Given, ∫03x2dx

Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: Numerical Integration: r2 1 S² = = X 0 1. dx

A: Please find the solution:-

Q: cot3x Lim X-o cotx 0

A: Given limx→0cot3xcotxTo evaluate the limit: