Question 10 Given z = (e-22) (sin y), find 92 O-2e-2 O-2 e 2 (sin y) + e-2 (cos y) O-2e-2 (sin y) -2 e-2 (cos y)

Q: Is the series absolutely convergent, conditionally convergent, or divergent? Justify your answer,…

A: We have to find out convergent test As per guidelines we have to solve one question Please repost…

Q: Question Find F" (2) given that F(a) = *(1+2²)¹³ (1 +15) ¹5 dt. (Do not include "F" (a) =" in your…

A:

Q: ■ Show that the area of the triangle whose vertices are the [X1 У1 points (x₁, y₁), (X2, Y2) &(X3,…

A:

Q: f(x-1) e-2x+x² dx = O 1 -2x+x² e 2 2e-2+2x+C 2e-²x+x² + C e-2x+x² + C + C

A:

Q: Which of the following statement is TRUE? (i) If Σα o an = and bn = then Στο bn n=0 2 an 3 (ii) If…

A: Solution is given below:

Q: ) identify the technique of integration most appropriate b.) Find the average value

A: Here we have to use the concept of integration

Q: Find , given y = log(ev+x²). dy dx

A:

Q: π/2 B)Evaluate the integrals: i) f/2 sine rdrde, π/2 ii) f/25/2 sinxz² siny dz dy dx.

A: See the details solution in below

Q: Solve the equation 2x-1= 3x+1 algebraically.

A:

Q: Q1A)The vectors A = 3i+j+ 4k, B = 2i-3j-k, find vector normal to A and In plane of A and, B.

A: See the details solution in below

Q: Evaluate the definite integral. 2 X dx 1 + 4x 0

A: Take (1+4x)1/2 = t

Q: ii) If there is a second eigenvalue (the second-smallest), give a basis of eigenvectors associated…

A: You have asked question (2) According to question,Given Matrix,A = 3006-306-63Eigen Values = 3, -3

Q: Find the rate of change of the area of a square with respect to the length z of a diagonal when z =…

A:

Q: 1. -5 cosh x 2+3sinh x dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Let one week's supply and demand functions for gasoline be given by p= D(q) = 288-39 and p = S(q) =…

A: Here, the demand and supply functions are: D(q)=288-43q & S(q)=23q which are the linear…

Q: which f(x) is negative. Determine the intervals on which f(x) is positive and on…

A:

Q: B)Solve the differential equation da x+4y

A:

Q: (3x²-1) 5x3-5x+13 - dx equals In 15x³5x + 13| + c In 15x³ - 5x + c 5 O 1 In 15x³ - 5x + 13| + c 5 In…

A:

Q: The eigenvalues of the coefficient matrix A are given. Find a general solution of the indicated…

A: Given  A=7716-32-72-113214432-59   λ=-3,5,5

Q: Find the general indefinite integral. (Use C for the constant of integration.) [(7x² + 8 + 2²1) dx +

A:

Q: Use polar coordinates to find the limit. [If (r, 0) are polar coordinates of the point (x, y) with…

A:

Q: -)Find volume of body from above Z=√√4x² - y² and below Z Triple integration. 1 using

A:

Q: ind the equation of a line that passes through A(1,-1) and is perpendicular to the line (x,y) =…

A: The equation of a line that passes through A(1,-1) and is perpendicular to the line…

Q: The graph of the function 86 f(x) can be obtained from the graph of y = f(x) by one of the following…

A: Solved below.

Q: S 2³x dx = 0 23x+1 3x+1 23x In 2 O O O + C + C 23x + C In 8 2³x In 2 + C

A:

Q: Determine dy/dx given that y = 1+sin x COS C 1 O (1+sin x)² -1 O 1+sin x 1 O 1+sin x -1 O (1+sin x)²

A: The objective of the question is determine the derivative of the given function and choose the…

Q: Consider the following sequence x₁ = √₁, x₂ = √1 + √I, x3 = √1+√₁+√₁ Evaluate lim xn (No credit for…

A: The given sequence,x1=1, x2=1+1, x3=1+1+1

Q: Proceed as in this example to find the solution of the given initial-value problem. Evaluate the…

A:

Q: Use Euler's method with step size 0.1 to estimate y(0.4), where y(x) is the solution of the…

A: To solve the initial value problem.

Q: Consider the following equations. 3 y = 9- -1/2x², y = X₁ x = -2, x = 2 Sketch the region bounded by…

A: Here we have to find the area and the graph of the functions.

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: y = 7 cos(x), y = 7 - 7 cos(x), 0 ≤ x ≤ π

A:

Q: Give the domain and range of the graph shown to the right. Then, use the graph answer parts (a)…

A: Domain is the value of x for which curve is defined.  Range is the value of y for the different…

Q: Find the acute angle between the line joining A(1,2,3) and B(5,1,7) and the plane containing point…

A:

Q: Find the area of the region bounded to the right by x = y + 3 and to the left by x = y² + 2y + 1. K…

A:

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

A:

Q: Find the slope of the tangent line to the graph of the given function at the given value of x. 1/2…

A:

Q: Use logarithmic differentiation to find y = (In x) sin, x> 1. dy dx given

A:

Q: Use a graph to give a rough estimate of the area of the region that lies beneath the given curve,…

A:

Q: 6 = √² (6x - x²) dx = We now have Area = 16

A:

Q: Ju 2²u Consider the heat equation = Ət for a bar of length L=1, with non homogeneous boundary…

A:

Q: let a=2+7i b=4-2i Choose the correct result of a*b* O24+22i O22+221 O22+241 O 22-24

A: complex number multiplication

Q: If f³ f (x) dx = 6 and ſ ƒ(x)dx = 4, then ſ5 (3 + 2ƒ(x))dx : = 35 10 23 20

A:

Q: Calculates the JR f(x,y)dA bounded by the given region I Loyan dA where the region S is given by the…

A:

Q: What are all the values of k for which f* x² dx = 0? 3 -3 and 3 0

A:

Q: B)Is w = Zez analytical function or not?

A:

Q: A 200-foot cable weighing 4 pounds per foot is hanging from a winch 200 feet above ground level.…

A: We have to find the work done.

Q: Evaluate x³ 2x² +7 dx S x² Ox² - 2x - 72 +0 0²-2x - 1 + C X O2+2 +c+C -2+7ln x² + C -

A:

Q: The graph of the function y = f(x + 76) can be obtained from the graph of y = f(x) by one of the…

A:

Q: dx 5 - 2x Evaluate: S O2 ln |5-2x + C -2 + C 5-2x O -1 2(5-2x) + C On 15 - 2x + C

A: