1 Determine by the direct comparison test if Ln=1 2n+1 converges or diverges .

Q: 5. Determine the interval on which f(x) = x+2 is integrable. %3D (-00, 2) [-2, co0) (-00,-2) U (-2,…

A:

Q: 11. (6 points) The demand for a certain product can be modeled using the equation d(x) = x2 - 4x +7.…

A:

Q: Find the exponential function that contains the points (2,48) and (3,192).

A:

Q: Solve for x 2 1792 -X+ 66,05x¯+- 25 3613 3 5x=0 25

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: of the following graphs represents a y

A: Function

Q: A particle moves along a straight line with equation of motion s = f(t), where s is measured in…

A: This is a problem related to derivative of the function. Derivative of the distance function give…

Q: Solve the following differential equations of (2x' + y)dx +(x²y-x)dy =0

A: This is a problem of differential equation. Based on exact differential equation concept we will…

Q: Describe the given region in polar form a.) b.), 1 1 2/3

A:

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

A:

Q: circumference C of a circle is a function of its radius given by C (r) = 2r. xpress the radius of a…

A: Topic:- function

Q: cos 20 7. S -do sin 0

A:

Q: tind ds 3\nx when

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: By the Fundamental Theorem of Calculus: •t „2 +1 dx 5x +1 d dt d and dt - 6t x2 +1 dx 5x +1 d…

A: Given

Q: Find the x- and y-intercepts for the function. x+1 r2+36 f (x) Enter your answers as points, (a, b).…

A: The given function is: fx or y=x+1x2+36   As we know that; To determine, x-intercept, we need to…

Q: C. Determine the Laplace transform of 1. F(x)= x2 2 f(x) = e®, a €R 2.

A:

Q: g integral. dx

A: Given query is to find the value of the integral.

Q: Solve the equation .11 y" + 3y' + 2y = x2

A:

Q: Calculate the surface integral / G(r) dA, where G = (12zz + 36)/2, the surface S is given by the…

A: We have to find the surface intgral.

Q: Find the volume generated by revolving the region bounded by y = - cos x and y = 0, from x= - 2x to…

A: Here, the curves y=-cos x & y=0 from x=-2π to 2π revolved about the x-axis.

Q: Solve the system of linear equations using Gaussian Elimination. -71[X1 X2 X3 15] [x4] 5 -10 3 14 8.…

A: To find the solution of given system of equation.

Q: Consider the following affirmations: ) The sum of three prime numbers is an odd number. ii) The…

A: A number  greater than 1 and is divisible by itself and 1 is called prime number. Example of prime…

Q: » / 13t – 41º + 4 dt = 6. (а) 1 - 5 Jū du: (b) dx = 4x3 (c)

A:

Q: -5t i + j+ sin(3t) k sin (t) lim e t 0

A:

Q: 5. S sin5x cos 3x dx

A:

Q: taylor tanox)

A: We have to find Taylor series of tanx

Q: Find the radius of convergence, R, of the series. (-1)" 2" n = 1 Find the interval, I, of…

A: for radius of convergence of a series  we will calculatelimn→∞an+1an<1  for the series ∑an  and…

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

A: By using Lagrange multipliers to find the maximum and minimum values of f subject to the given…

Q: The solution of the differential equation below is dy Зу- + 4x = 0 dx

A: This is a problem of differential equation. Based on the general formula and concept of separation…

Q: Find the slope of the tangent line to the curve r = 5 cos(0) at the point specified by 0 = 3.

A: We have to find the tangent equation.

Q: Find the inverse of the function. f (x) = 14 + V5x – 5

A:

Q: * This equation is an example for linear equations dy y + dx = x²e* False O True O

A: To determine whether the given statement is True or False.This equation is an example for linear…

Q: Find f. - Vi- () -- 8. f'(x) = 9 %3D V1-x2 f(x)

A:

Q: y" + 3y' + 2y = x2

A: We have to solve given differential Equation.

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

A: Given region is bounded by the function y=16x-2x2 and y=0 and rotating about y axis.

Q: | 13t – 41° + 4 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Calculate the surface integral / G(r) dA, where G = (12xz + 36)1/2, the surface S is given by the…

A:

Q: Find a polynomial of the specified degree that has the given zeros. Degree 4; zeros -3, 0, 3, 5

A: General form a polynomial of degree n is P(x) = anxn+an-1xn-1+...+a1x+a0, an≠0  and the factored…

Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

A:

Q: * This equation is an example for linear equations dy dx False O True O

A:

Q: farmer finds that if she plants 55 trees per acre, each tree will yield 35 bushels of fruit. She…

A: Given query is to find the number of trees to be planted per acre.

Q: Solve the initial value problem. dy + 9xy = 4x, y(0) = - 3 dx

A: This question is related to differential equations, we will solve it using given information.

Q: 269. A bomber plane, flying horizontally 3.2 km above the ground is sighting on at a target on the…

A: We have to find the speed of plane.

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Calculate the Taylor polynomials T2(x) and T3(x) centered at æ = 7 for f(x) = 1+z T2(x) must be of…

A:

Q: Solution :- we have Fla) =5 cas 2x %3D Now di'fferentiate it wot x x d (cos2x) %3D Źx(-2sin2x) %3D…

A:

Q: ssume that the two points (x1.y1) and (X2.Y2) lie on the graph of the straight line y = mx +b. Use…

A: here, i am providing my handwritten solution

Q: Evaluate the surface integral. (x + y + z) ds, Sis the parallelogram with parametric equations x = u…

A: Solution: ∬(x + y + z) dS, S is the parallelogram with parametric equations x = u + v, y = u − v, z…

Q: Use logarithmic differentiation to find dy/dx. y = x8/x

A:

Q: Let 7. B(t) = ift < 2 - Vt+c ift 2 2. Find the value of c so that lim B(t) exists. t+2

A: This question is based on limits.

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A: