Given: y = arctan sinh find y' at x = 2 cosh 1 1+sinh 1 cosh 1 %3D 3(1+sinh 1) cosh 1 1+sinh 1 cosh 1 1+sinh 1

Q: y = 4e2x + xe2x; y" - 2y' + 1 = 0. Yes O No

A:

Q: Use Green's Theorem to evaluate the integral. Assume that the curve Cis oriented counterclockwise.…

A:

Q: Solve the system of differential equations x' 60x + 126y l y' = 28x + 59y - x(0) = – 31, y(0) = – 14…

A:

Q: Find the Taylor series generated by f at x = a. f(x) = e*, a = 7 Choose the correct answer below. ki…

A:

Q: Find div F and curl F if F(x, y, 2) = 16y"z'i – 8x"zj – 7xy°k. div F= curl F=

A:

Q: 422+3r-2 Given z+1 determine y" 18 (z+1) (z+1) 2 (z+1) 10 (z+1)

A:

Q: 'ind the relative maxima and minima of the function y = f(x). ind the intervals of concavity up and…

A:

Q: Is the mathematical statement correct. If f(x)=f(-x), then f’(x)=f’(-x). Explain why

A:

Q: 0y-25 +y= 2メ+3 %3D

A:

Q: Use the graph to complete the following.

A:

Q: Problem 8 Find the following indefinite integrals: (a) [3r°dr (b) S(3r® +9x² – 12r)dr (c) S(7x-1…

A: topic- indefinite integral ∫xndx=xn+1n+1+C

Q: Determine if the function is a solution to the given differential equation. y = x In x + 6x + 5; y"…

A:

Q: Find the characteristic equation and the eigenvalues (and a basis for each of the corresponding…

A: The solution is given below.

Q: Find div F and curl F if F(x, y, z) = 4y°z°i – 8a*zl°j – 7xy°k. div F= curl F

A: we have to find curl and divergence of F.

Q: Find the foci of the hyperbola. 2-9y-90y-234 = 0

A:

Q: Evaluate the following definite integrals. år 5.

A:

Q: Use substitution to find the indefinite integral. Зх + 7 (6x + 28x) 5 3x +7 (6x² + 28x) =xp.

A:

Q: Determine whether the infinite geometric series is convergent or divergent. If it is convergent,…

A:

Q: arcsin = ab x² – Va² – y²; Find y'.

A:

Q: Find div F and curl F if F(x, y, z) = x°i – 6j + yzk. - div F= curl F=

A:

Q: Use Newton's method to approximate the indicated root of the equation correct to six decimal place…

A: Here, let the given function be: f(x)=x2+ex-9⇒f'(x)=2x+ex Next,…

Q: respect to x of/ /(3Vi-1) dt is 3x – 1 by the 2nd fundamental theorem of C The derivative with (A)…

A:

Q: Find the series' interval of convergence and, within this interval, the sum of the series as a…

A:

Q: The directional derivative of f(x, y) = cos(x²y³ ) in the direction of the vecto v = 3i + 4j is Du…

A: The given function is: f(x,y)=cos(x2y3) So, ∇f(x,y)=∂f∂x,∂f∂y…

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) x33 sin(x34) dx Submit…

A:

Q: Determine whether z is a function of x and y + z2 = 1

A: see below the answer and explanation

Q: If x=tan , then dr = coso de by trigonometric substitution. (1+x*)½" A True B False

A:

Q: If the profit function for a product is P(x) = 6400x + 80x² – x³ – 190,000 dollars, selling how many…

A:

Q: Find V x (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V × (V × F) =

A:

Q: x2 + xy? lim (x,y)→(1,2) x4 + 2y2 or show that it does not exist. 2. (a) Evaluate the limit + xy? or…

A: We need to find limit.

Q: If x= tane, then cost do by trigonometric substitution. dr = (1+x2) ½ True B) False

A:

Q: Current Attempt in Progress Find curl(6z i + 7x j + 9y k). curl(6z i + 7x j+ 9y k) = ( i Di +( i )j…

A:

Q: Find the equation which satisfies the separable differential equation dy – 18x dx with the initial…

A:

Q: Solve the problem. dV The growth rate of a certain stock is modeled by = k(25 - V), V = 20 when t=…

A:

Q: 1) What are the equations (4 of them) that show the relationship between polar and rectangular…

A:

Q: Find the series' radius of convergence. n! Σ 5-10 - 15...- -5n n= 1

A: We have to find the radius of convergence.

Q: Evaluate the cylindrical coordinate integral. π θ/π 74-2 zdzrdrde 0 0 - /4-12 a 0/n 7/4-12 zdzrdrde…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. p 5…

A:

Q: ermine the Interval(s) for which the function is (a) increasing, (b) decreasing, and (c) constant.…

A:

Q: Q2) Apply the differentiation rules to find the derivatives of: Inx 5 (a) y=x*.e*+2- Inx- cosx (b)…

A: Solve the following

Q: Find div F and curl F if F(x, y, z) = 13y'2*i – 11x°z®j – 7xy°k. %3D div F= 0 curl F=|(-35 z y³ + 99…

A:

Q: -dx is an improper integral. A) True B) False

A:

Q: sin a Determine the derivative of sec x sec x cos z-sin z sec tan e sec2 a O 1 1-sin x sec2 x sec2 x…

A:

Q: Determine the derivative: y = log (3x2) (01)प य log (3) ** In(10) 6 log (Sx) r In(10) Oy= 18x In(10)…

A:

Q: Use Green's Theorem to evaluate the line integral |(y - x)dx + (2x – y)dy for the given path. C: x =…

A: Let's find.

Q: For what values of S is the solution space of the system given below the origin only, a line through…

A: In the given question we have to find the values of s for which the solution space passes from the…

Q: ind V × (V x F) if F(x, y, z) = 9xyj+ 6xyz k. V x (V × F) = ||

A: Topic:- application of derivatives

Q: Represent the line segment from P to Q by a vector-valued function. (P corresponds tot = 0. Q…

A:

Q: 16z Consider the function f(x) = x°e f(x) has two inflection points at x =C and x = D with C<D where…

A: 1) The given function is:…

Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) (x² + lim x + 5…

A: