S dz zlnz (Inz)²-1 Select one: O A. Q B. O C. Q D. arcsec(Inx) + C arcsin(lnx) + C arccot(Inx) + C arctan(Inx) + C

Q: Find the general solution of the differential equation. y (4) + 2y" + y = 9+ cos(4t). NOTE: Use C₁,…

A:

Q: The rate of change of N is proportional to 20 + N(x), where N < −25. N(0) = 10, and N(2) = 25, find…

A:

Q: x³ 3x²+5 (x-3) S - x³ - 5 In 1 x-31 + C Option 1 dx x³+5 In Ix-31+ C Option 3 x3 3 Option 2 x3 - 5…

A:

Q: integral of cos x sin^3 2 x dx

A:

Q: Use the given acceleration function and initial conditions to find the position at time t = 1. a(t)…

A: (9)

Q: Use the Ratio Test to determine whether the series is convergent or divergent. 157 (n + 1)62n + n =…

A:

Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

Q: Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate…

A:

Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

A:

Q: Evaluate fx and fy at the given point. f(x, y) = e¹³y sin(x), (π, 0) fx(π, 0) = (No Response) fy(π,…

A:

Q: 10 Find the linearization L(x) of y = e¹0 In(x) at a = 1. (Use symbolic notation and fractions where…

A: Given:   y = e10 ln(x)  At a = 1

Q: Farmer Jones and his wife, Dr. Jones, decide to build a fence on their farm. Because Dr. Jones is a…

A: Follow the procedure given below.

Q: X f f(x) = (2x+1) ³ (x-3)4 then f'(0)= Selected Answer: 1

A: In this question we have to find first derivative at point zero.

Q: Describe the domain of the function f(x, y) = ln(7−x−y).

A: (18)

Q: Solve, finding all solutions in [0,2) or [0°,360°). 18 cos²x = 9 The solution(s) in [0°,360°) is/are…

A:

Q: Find the total differential. w = e²y cos(7x) + z³ dw = (No Response)

A:

Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

A: Let's find minimum cost and it's dimensions.

Q: Use the implicit differentiation to find dy/dx. Then find the slope of the curve at the given point.…

A: By using the implicit differentiation to find dydx. Then to find the slope of the curve at the given…

Q: ections at the given point

A:

Q: Integrate O √25 - 2² 2 ▶ X 25 - x² O. + C V6-ਏ 25 - x² 2 dx. +C 25 - x² + C 25 - x² + C

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

Q: Function: w = y3 - 3x2y, x = es, y = et Point: s = 2, t = 2 Find del w/del s and del w / del t using…

A: If w=f(x,y) and x=g(s) and y=h(t) then,          ∂w∂s =∂w∂x.∂x∂s+∂w∂y.∂y∂sand         ∂w∂t…

Q: Perform a first derivative test on the function ​f(x)=2x3 +3x2 −12x +4​;​[−2​,4​].   a.  b.Use the…

A:

Q: Find lim f(x) if I-00 4x - 1 I 5.

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: F8 e³ti+cos(5t)j +3sin(5t)k 3 -i+cos(5t)j +3sin(5t)k Question 7 The position vector r(t) =…

A:

Q: Evaluate the following integral. Л √4 sin *x dx 0

A:

Q: e) x - 4y= 26er r

A:

Q: 1. dx x³ + x²

A: Given, ∫1x3+x2dx

Q: Question 12 Find a at time t = 1 for the plane curve r(t) = 4t²i+ 3tj. Round your answer to three…

A:

Q: Evaluate fx and fy at the given point. 5xy f(x, y) = (1, 1) 6x² + 3y²' fx(1, 1) fy(1, 1) = (No…

A:

Q: Multiply and simplify. (1 + tan ß)² (1 | + tan ß)² = [ (Simplify your answer.)

A:

Q: Utilice el teorema de Sandwich (emparedado) para demostrar que lim [x Envie sus computos a…

A:

Q: Find the curvature K of the curve given below. r(t) = ti+8t²j+2tk

A:

Q: Find all relative extrema. Use the Second Derivative Test where applicable. (If an answer does not…

A:

Q: lim X-00 X *3)* X 1 1+

A:

Q: Question 3 Find a vector-valued function, using the given parameter, to represent the intersection…

A: We need to find r(t).

Q: Evaluate the integral: CT/2 cos² (4x) sin³ (4x) dx.

A:

Q: Use Newton's method to approximate a root of the equation 2 sin(x) = x as follows. 1 be the initial…

A:

Q: Recopy the picture onto your paper for best results Given: mLBEC = 46°, mzDEC = 29°, CD=7, AD=8 B C…

A: Disclaimer: Since you have posted multiple subparts for a question, we will solve first three sub…

Q: 7. (a) Use the Maclaurin series cos x = 8 k=0 (-1)^2k (2k)! (b) Use the Maclaurin series ln(1 + x) =…

A:

Q: Given the function xye9-sin² ecos² fxx of f is equal to 0. f(x, y)= The second derivative Select…

A: A detailed solution is given below. fx = partial derivative of f(x,y) with respect to x. fxx =…

Q: To evaluate the integral 1. 7 64 + x² -dx,

A:

Q: Choose all critical points of the function f whose gradient vector is Vf(x, y)= O None of the others…

A:

Q: Use Newton's method to approximate a root of the equation cos (x² + 4) = 2³ as follows. Let x1 = 2…

A:

Q: Find the point(s) at which the function f(x) = 6 - 6x equals its average value on the interval…

A:

Q: If u(t) = and v(t) = , use the formula below to find the given derivative. d[u(t) × v (t)] = u' (t)…

A: Using given formula find derivative

Q: Determine the continuity of the function f(x, y, z)= O continuous except at (0,5, 0) O continuous…

A: topic- continuity of a function

Q: The function s(t) describes the motion of a particle along a line, for any time t ≥ 0. s(t) = t² -…

A: Given function: st=t2-5t+5

Q: urses/22237917assignments/25899809 Use Newton's method to approximate a root of the equation x³ + x…

A:

Q: Work Problems ( your works 1) Let F(t)=(4t — t²)i+t² j+sin(5t — 10) k a) ... :) Find the unit…

A:

Q: Describe the level curves of the function. z = x² + 3y² The level curves are circles. The level…

A: Given that, the function is z=c=x2+3y2 and c=0,5,7,9,11,13. For c=0 the function c=x2+3y2 becomes…