6 lim | 3 x² – 32 X+3 X - Enter I for oo, -I for -00, and DNE if the limit does not exist. Limit =

Q: Find the derivative y = 2 Arcsin 2 -2 a. y' = b. y' = c. y' = d. y' = V2x-x² V2x-x2 V2x-x? 2x-x²

A:

Q: Given h(x) = tan -1 ), find h'(x). 2 4 A) sec 2 sec (B) 4 +x² (C) 4 +x2 (D)

A:

Q: 14. A rocket is being launched straight up from ground level, and the launch is being monitored by a…

A:

Q: Find the limit. If the limit does not exist, type DNE. 2z – 2ry? = lim (1,9) → (-1,1)

A: We will find the limit.

Q: 9. Find the value of k so that (2y sin x cos x - y+ 2y²e")dx - (x- sin? x+ kxye*)dy = becomes exact.…

A: To find the  value such that given equation is exact  differential equation.

Q: 2. 2. A = Fral eDen Value 2. 1- and eigen Vetor note

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: x2+3x-1 16. Use L'Hôpital's Rule to evaluate the limit lim Write o if the limit is infinite.

A:

Q: QUESTION 94. dz -22 TRIGONOMETRIC SUBTITUTION a? – u? sub. to u = a sin 0 a² + u? sub. to u = a tan…

A: Solve the following

Q: A company manufactures and sells DVD's. Here are the equations they use in connection with their…

A: Here we will find the functions,

Q: 7.4 Partial Fractions 11.10 Taylor and Maclaurin Series Find the Taylor series for f(x) centered at…

A: We are given f(x) = 8x - 3x3 We have to find taylor's series expansion of f(x) centered at a=-2 and…

Q: "en J(2, 9) 5y), find =(z, y) = (z, y) = -(z, y) = %3D

A: We wil find the second order partial derivative.

Q: Use series to estimate the lim m X-1

A:

Q: Let y tan(4x + 3). Find the differential dy when z = 3 and dx = 0.1 Find the differential dy when r…

A: y=tan4x+3

Q: Differentiate the following (choose two only )( 5 .. ) 1)2xsin-13x x+1 2)y = In Vx-2

A:

Q: 2. Write the given (total) area as an integral a. The area above the x axis and below y = 4-x2 Ne -…

A: Since, the student has mentioned to solve only question number 2, so we are solving accordingly only…

Q: Find the arc length of the graph of r(t) = ev#ti + e¬V%tj+2tk, 0<ts v2In 5 NOTE: Enter the ezact…

A:

Q: Question 1 If z=lm/x*+ y² + un /x²+y²+-tan 12 then the numerical value of dy? dx2 is equal to...-

A:

Q: Differentiate the three possible types of boundary conditions that can be used for second-order…

A:

Q: Find solutions of the following equations by the method of separation of variables: 4. 2+= 0 at xe,…

A: 5.

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: Q 25-The Laplace transform of function f(t) = e¯'sinh4t is a) 2/(s²+2s) b) 2/(s²+2s+15) Q?-The…

A: To Find : laplace transform of f(t)=e-tsinh(4t)

Q: 7. g(x) = In (3V4 + x² ) %3D

A:

Q: dy Using the product rule for the dx function y = e3" sin x is equal to

A:

Q: 12. Show that a rectangle with given perimeter has maximum area when it is a square.

A:

Q: Let Ax) = 2x - 7x +4x. %3D a. On what interval(s) is f'(x) > 0? b. On what interval(s) is fx)…

A: Given: fx=2x3-7x2+4x   The Power law: ddxxn=nxn-1

Q: 5. Evaluate each of the following integrals. (a) dr. (b) Vr2 +9 dx

A: LetI=∫x32x4+13dxPut 2x4+1=udifferentiate  on both side8x3dx=dux3dx=du8ThereforeI=∫1(u)3du8Take the…

Q: Calculate r:(t) • r2(e})] and n(t) × ra(t)] first by differentiating the product directly and then…

A:

Q: 2000 A television camera at ground level is 2000 feet away from the launching pad of a space rocket…

A: Rate of change

Q: A manufacturer believes that the cost function C(r) 3 +51z + 680 approximates the dollar cost of…

A:

Q: Evaluate the following limits. If needed, enter oo for ∞ and -oo for 0. 18x (a) lim 5 4x 18r (b) lim…

A:

Q: 4 Find the length of the curve y=x3 3 %3D x3 +5, 1 Record Audio Record Video Add a File

A: To find out the length of the curve.

Q: 9) A closed cylindrical can is to hold 1000 cubic centimeters of liquid. How should we choose the…

A:

Q: 0 (x-2)k 2k=1 Vk 00

A:

Q: Find the area of the region between the following curves by integrating with respect to y. If…

A:

Q: When a drug is intravenously administered to a patient on a continuous basis, the amount A (in…

A:

Q: Find the solution of the following differential equation: y'' − 2y'= x − e3x

A:

Q: x3 Evaluate J 3-2x) using substitution

A: Given ∫x3(3-2x)5dx To find integration

Q: 1. Determine the following using the graph of f provided below. If the value is infinite, specify co…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Q1\ Differentiate the following 1)2xsin-13x

A:

Q: (-2æ)" En=1 (5n)! Find the series' radius and interval of convergence

A: The given power series,∑n=1∞-2xn5n!

Q: Q2\Find the point at which the tangent to the curve y = v4x² +1- 2 has its slop 2

A: 1

Q: Use the properties of logarithms to rewrite and simplify the logarithmic expression. In In 5 In 3 In…

A: We will use logarithmic properties.

Q: Find r(t) if r'(t) = ti+ e'j+ 3te3t k and r(0) = i +j+ k. r(t) = Need Help? Read It

A:

Q: Find the equation of the tangent line to the curve g(x) = 4x² – 3x + 2 at the point (1, 3).

A: As we know that; The expression for the equation of the tangent line is: y-y1=mx-x1 Where; m is the…

Q: 7. (2x-y)dx+x dy = 0 Ans x+=c

A: Given problem:- solve (2x2-y) dx+xdy=0

Q: lim x+0 v25 + 8x – 5

A:

Q: Find the derivative w = sin* y cos*y a. sin³ 2y cos 2y b. sin² 2y cos 2y c.sin 2y cos 2y d. sin 2y…

A:

Q: An object with an initial velocity of 40 m/s undergoes an acceleration of a(t) = 12t – 10 m/s“, t…

A:

Q: (cost -1/2 <x< 0 The funaction f(t) = is %3D sint 0<x<n/2 а) even b) odd c) neither

A:

Q: Given the functions f(x) = . x + 2 and g(x) = x², determine all values of x for which Ag(x)) =…

A: