Given r = e-, find the following. A Determine the derivative in terms of 0. Show each step and simplify completely B) Find the coordinate points on the curve where the tangent is horizontal. B) Find the coordinate points on the curve where the tangent is vertical.

Q: dy 3y- + 4x = 0 dx

A:

Q: dx In x +1+ Vx² + 2x| + C Vx2 + 2x

A:

Q: Solve the integral using wallis formula.

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

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: Compute the value of the following improper integral. If it converges, enter its value. Enter…

A: Solve the following

Q: Evaluate: 2 esindx, for n=8 using (a) Trapezoidal method, (b) Simpsons Method

A:

Q: Find the inverse of the function. f (x) = 14 – 5æ3 -

A: To find the inverse of the given function.fx=14-5x3

Q: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum

Q: sin Inx 12. S dx x cos² In x

A: Given integration is ∫sinlnxxcos2lnxdx We solve the integral using proper substitution.

Q: 9x2-42x+49 a. Simplify : 3x2-7x b. Solve the equations: i) 10 ii) 25x3 + 100x? – x – 4 = 0 ii) (х —…

A:

Q: Find the value of k so that the given function f is continuous at x=1,where [2+ kx x 1 c) 1 d) 12

A: The given function is: f(x)=2+kx, x≤15+3x, x>1

Q: dr 14. J z(x+1)²

A:

Q: taylor tan)

A:

Q: BASIC CALCULUS 1. The line segment from (1, -1,3) to (0, –3, 1) forms a diameter of the sphere S1.…

A:

Q: dr 15. (4 – 2²)3/2

A: Topic = Integration

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

A:

Q: Let D be the region enclosed by y = 5x, y = x and x = 1. The volume of the solid formed by •…

A: Here we have to find the volume .

Q: Dr. Barrett wants to purchase a new piece of equipment for his practice. The eauipment can be…

A:

Q: 2pm travels east at 50 mph. How fast are the trains separating after a long time?

A:

Q: The solution of the differential equation below is dy = ky dx %3D

A: Given query is to find the solution of the differential equation.

Q: s being pumped into a spherical ballo nge of the radius when the radius reac

A:

Q: Question 11 Calculate the surface area of the given surface. The parabolic cylinder with equation z…

A:

Q: 9. Evaluate the limit of (x-2)(x^3-8) as x approaches 2. а. а b. 1/12 с. 0 d. 2/3

A: As per our guidelines we are supposed to answer?️ only 1 question. Kindly repost other question as…

Q: Give 5 sample problems for Variable Separable (Differential Equation). Provide step by step solution…

A:

Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: B: By using Homogenous method solve the first order differentia еquation (1+ e») dx - e"l> -1) dy =…

A:

Q: The following is used for all problems 1-6 below: A scientist adds 60 ml of pure water and 15 ml of…

A:

Q: 10. S(tan x – 1)²dx

A: Topic:- application of integration

Q: From Rogawski ET 2e section 8.4, exercise 1. Calculate the Taylor polynomials T2(x) and T3(x)…

A:

Q: 10. Find the unique solution of the second-order ivp: y" + 16y = 0, y(0) = 2,y'(0) = -2

A: answer is in next step

Q: Give 5 sample problems for Elimination of Arbitrary Constant (Differential Equation). Provide step…

A: We need to provide 5 sample problems for Elimination of Arbitrary Constant Differential Equation.

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at æ…

A:

Q: of of For the function f(t,a) = sin (5t + 8a), find and at da

A:

Q: Find fxy for the function f(x, y) = V3x²y + 5.

A: The given function is f(x)=sqrt(3x2y+5).

Q: 4) A is a set of m 2 1 positive integers. Show that exists a non-empty subset BCA such that the sum…

A: We are given that A is set of m positive integers where m≥1 . We have to show that there exists a…

Q: by any method.

A:

Q: 9 =\n(VX ), find y' X43

A:

Q: a lim - o Consider the following series. * (-1)* * 1 (jerror 0, and then you need to verify the two…

A: Given: Here, bn+1=(-1)n+1+1n+17=1n+17. We are given the bound ε=0.00005. So, now we need to solve…

Q: Does the series E n+1 converge or diverge? n-1 Choose the correct answer below. O A. The nth-term…

A: Here we will check whether series is converges or diverges,

Q: How much work W is done in lifting a 40-kg sandbag to a height of 4 m? (Use 9.8 m/s2 for g. Round…

A: Given:Mass  , m=40 kg Height , h=4 m Acceleration due to gravity , g=9.8mm/s2

Q: This equation is an example for linear equations dy y = x²e* %3D dx False True

A: We have to find if the given statement is true or not.

Q: Q3. Given the complex numbers z1 = -V3 +i,z2 = 2-i,z3 = -V3- 3i and z4 = 4 + 4i %3D 3.1 Represent…

A:

Q: Sketch the graph of f and use your sketch to find the absolute and local maximum and minimum values…

A:

Q: what is the sum of a+b+c of the intersection of the plane and line parameterized by x=r, y=1+r,…

A: A plane perpendicular to a vector and through a point In vector form, a plane's equation is…

Q: * This matrix is a -7 -5 11 7 -11 diagional matrix symmetric matrix An upper triangular matrix skew…

A:

Q: * ?Which of the following equations is an exact differential equation + 1) dx - xydy = 0 2xydx + (2+…

A:

Q: Using the method of cylindrical shells, set up but do not evaluate an integral for the volume of the…

A:

Q: Se* sin e*dx

A: We have to find integrating of given Questions

Q: f(x) = lnx/sqrt(x) Find the first and second derivative

A: Given  f(x) = ln xx We have to find the first and second derivative.

Q: Write an equation for a rational function with the given characteristics. Vertical asymptotes at x =…

A: Solution: Given data, Vertical asymptotes at x=-2 and x=4 So the denominator of the rational…