Find the area of the surface generated by revolving the curve about the given axis. x = 2 cos(0), y = 2 sin(0), 0 sos, y-axis

Q: 9. The general solution of y" + y = cos? x

A: Given :   y"+y=cos2x

Q: 2. Let R be the region in the first quadrant bounded by the graph of y = Vx-2 and the lines x-2 and…

A: Note:  As per our guidelines, we are restricted to solve only one problem. Hope you will understand.…

Q: Find the radius of convergence and interval of convergence of the series. (-1)"-1 – 1)"- . I

A:

Q: 1. Let z = 3+ 6i and w = a + bi where a, b e R. Without using a calculator, (a) determine , and…

A: Let's find ratio of given complex numbers.

Q: I. Find the point/s of intersection of ea element and set up the formula onl y =x°+2 x=2 -4 00

A:

Q: The area between the curves f(x)=x and g(x)= x^2 on interval [0,2] O 2

A:

Q: 3. Accumulate P2,500 at 5-% simple interest from November 6, 1988 to April 11, 1989. 12

A: Given :Principal = P2500Rate =535=285%Time : Nov 6, 1988 to April 11, 1989

Q: evaluate

A: We will solve the integration

Q: cx+ln x Determine the equation of the tangent line to the graph of f(x) cosh (V2t – 1) dt at x = 1.

A:

Q: y" – 3y' + 2y = 2x² + e* + 2xe* + 4e3x

A: Given

Q: solve

A:

Q: -2 Find f'(x). Given: f (x) = (2x3+3x2-5)2

A:

Q: Find the work done by winding 3 meters of a cable if the force applied to wind the cable by x meters…

A:

Q: What is the difference between a first-order linear differential equation and a second-order linear…

A: We can explain the answer as below.

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

A: Let's find rate of the increasing the  volume.

Q: Find the 23rd derivative of y = -sinx Select one:

A: We have to find 23rd derivatives of y=-sinx

Q: Let g(x) = | VI+7i dt. Use the Fundamental Theorem of Calculus to find g' (x). g' (x) =|

A:

Q: 2. (sec 5x t Csc 5x) dx

A:

Q: Find the inverse laplace transform of the function

A:

Q: 2x° dx x2-4

A: ∫2x3x2-4dxSubstitute u=x2-4→dudx=2x→dx=12xdu=12∫u+4udu=4∫1udu+∫1du

Q: ydy J-7-By-y

A: Given problem:- ∫ ydy/√(-7-8y-y2)

Q: Suppose f(x, y) = x2 + y? where x = r cos 0 and y = r sin 0. Find and whenr = 1, 6 -: = 1, 0 =

A:

Q: d (7 ln(x)) dx Find

A: Find

Q: CIT *(z + 2) dx dy dz 2. Evaluate

A:

Q: Find the firsst derivative of y = arctan [ (3 sin x) / (4 + 5 cos x) ] and the first partial…

A: Given:       y=arctan3sinx4+5cosx First derivative:     dydx=ddxarctan3sinx4+5cosx…

Q: .

A: We will find the temperature.

Q: 1. Solve the equation: (4D4 – 4D³ – 23D² + 12D + 36) y = 0 O y = cje* + c2xe2" + c3e¯7 + c4xe¯i O y…

A: The given equation is: (4D4-4D3-23D2+12D+36)y=0...(1)

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A:

Q: 8. To find the derivative of y = cot* (2x), which of the following is the appropriate value of u? A)…

A:

Q: General solution of x dy = (2xex – y + 6x2) dx %3D

A: The given equation is: x dy=(2xex-y+6x2)dx That can be written as:…

Q: 4. J 5 5. S 12 7 in 3x dx 6. S (10 x - 40) dx x 2 - 8 x + 15 8. S

A:

Q: B. Determine dy/dx for the tollowing a. x + y2 =9 b. y-y+1 = x + 2 C. X³ - 8y³ =Y I.

A: According to our guidelines, In case of questions with multiple subparts we are supposed to answer…

Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

A:

Q: (x+1 0SxS2 f(x) = { Then what is the result of| ($2) dz 5

A:

Q: 2. Use membership tables to prove that A - (BnC) = (A – B) U (A – C).

A:

Q: x*- 2x³+x² xdx

A: ∫x4-2x3+x2xdx ∫x2x2-2x+1dx ∫x2(x-1)2dx ∫x2(x-1)dx ∫ x3 -x2dx x4/4 -x3/3 +c

Q: Number

A: Please refer to the image below

Q: 1. Evaluate (i) dy dx, 3

A:

Q: 3. (a) Calculate sinh (log(5) – log(4)) exactly, i.e. without using a calculator. Answer:

A: Solution is given below:

Q: 7. Evaluate the following. 2 erty? + 29)dy dz A. 30 5.4 B. C. 2.3 D. 4.9

A:

Q: 1) Find the radius of convergence and interval of convergence of the series. Show All Your Work.…

A:

Q: equation of the tangent to the curve y = 1+ Int and x = t+ Int when t = 2

A: Topic:- application of derivatives

Q: Use calculus to sketch the graph of the given function. (a) f(x) = 3xª – 4x³ %3D (b) f(x) = 3xª –…

A: We have to sketch the graph of the given function.     According to our guidelines we can solve only…

Q: Exercise 195 Further problems on Leibniz's theorem 3. Determine the 4th derivative of: y = 2x'e*…

A:

Q: 2. Find the equation of the normal line to the graph of y = x²(1+ In.x) at x = e. Write your answer…

A:

Q: Let f be the R 2 − R function defined by f (x, y) = ln xy and let r be the R − R 2 function defined…

A: Given

Q: 13. Evaluate: sin(x²) dx A) 2x cos(x2) B) 2x sin(x?) C) 2x cos 2x D)2x cos x 14. Find the derivative…

A: To find Evaluate the integral:

Q: (D* – 1) y = 0 O y = cje* + cze* + c3 cos x + c4 sin x O y = cje* + czxe* + C3x? cosx + C4x³ sin x

A:

Q: (メ+ッ)dx + (x4ッ)dy =。 d x dy x yz x?y

A:

Q: Find the general solution of cos x dy + (y sin x – 1) dx = 0

A: