2. Let f(x) = Determine the exact location of any turning points. Use the second derivative to classify these turning points as local minimums or local maximum.

Q: Find the inverse laplace of s+3 s2-8s-9

A: Given,  s+3s2-8s-9

Q: For the following: a) Determine the intersection points. b) Draw a sketch of the graph. c) Find the…

A: We can solve this as follows:

Q: APPLICATION I. Find the antiderivatives of the following functions using the substituion rule. Write…

A: Solving the problem by finding the value of the integrals.   NOTE :: As per our Expert guidelines we…

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x0 sin 2x x2-16 2. lim x-4 (Vx+5)-3

A:

Q: is xZ dz dx dy

A:

Q: Evaluate the definite integral. e141 i + e-j +t k )dt O e 4 – 1 i + (e-1 – 1) j +, k - 14 (e4 – 1) i…

A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: (a) The given function is: f(x)=x3 The formula for the linear approximation at x=27 is given by:…

Q: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

A: Find the interest and amount due on a loan of Php 54,000 at 15.6% per year for 100 days.

Q: 15. S(x + 2)²dx

A: Solve the following

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 + 5 at x=2? %3D

A: To find the tangent equation for the given function.

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i- 7j+? k) = i i+ i j+ i k

A: To find the limit of the given vector valued function.

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

A:

Q: 2x3 dx 2x2-4x+3 3.

A:

Q: A ball is shot from the ground straight up into the air with initial velocity of 49 ft/sec. Assuming…

A: Let's find.

Q: 1. Identify the type of conic section whose equation is given, then find the vertices and foci.…

A:

Q: Q4) Find for the following functions (choose five only): dx 1. у %3D 2** + е2х-1 2. y = sec x tan x…

A: 1) y=2x2+e2x-1Differentiatey'=2x2ln(2).2x+2e2x-1dydx=2x2+1.xln(2)+2e2x-12)…

Q: The function f(x) = – 4x* + 6.24x² + 53.784x + 1.62 is increasing on the open interval ( It is…

A:

Q: Find the arc length L of the graph of r(t). r(1) – ittj Vor? k. 1 r(t) = t i+tj 2 <t< 5 L = i

A: To find the arc length L  of the graph of r(t).

Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 33 34 4' 6' 8' 10' 12 an = |…

A:

Q: Conjecture a formula for f'(a) that depends only on the value a. That is, in the same way that we…

A: Given that, fx=4x-x2 We need to compute the value of f'a.

Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: Find the arc length of the polar curve described by: r = 5+ 5 cos 0

A: Use the formula for the arc length in polar coordinate.

Q: The graph of the function f is shown below. If lim exists and f is not continuous at a, then a…

A:

Q: Match the vector field with its graph. F(x, y) = yi 5 -5+ 5 5 5 |信

A: Given data÷ Fx,y=yi We need to find graph of function ÷

Q: e cos-1x 5. S V1-x2 dx

A: To evaluate the given integral.

Q: ||F(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = t’i+ t®j K(t) =

A: See the answer below

Q: 1. Find the particular solution using the Initial condition. xy'-y x.y(1) 7. Finally, sketch a slope…

A: Follow the procedure given below.

Q: Using Disk Method solution, R is bounded by x-axis, y-axis and the line 2x + 3y = 1. This is…

A: This is a problem of finding volume using integration . Based on the formula and concept we will…

Q: Determine the value of 7A+7M if 2x4 + 3x3 + + 8x2 + 9x + 3 A За + М + (1+x²)² х — 3 x(1+x²)² 1+x² ||

A: Given: 2x4+3x3+8x2+9x+3x1+x22=Ax-x-31+x2+3x+M1+x22

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A:

Q: Find the length of the spiraling polar curve - 8e 10 from 0 to 27. r = - Length

A: A detailed solution is given below.

Q: Consider the function f(x) = -4xi + V24 -x on the interval [7, 27]. Find the absolute extrema for…

A: We want to find absolute maximum and minimum.

Q: Given f)- x-2x+1 メート a)catical pomts: X= 6)intervalks) of mcreasing: Cintervalrs) of decrensing:

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Q: Evaluate the limit tan x lim z0 2x

A:

Q: Use Chain Rule to find given w = ds x2 – 2y + z2 and a = cos (st), y = -2s In t and z = s – - VE.

A:

Q: ||r'(t) × r"(t)|| Use the formula k(t) to find k(t). ||r"(t)||3 r(t) = e*i+e*j K(t)

A:

Q: Q2) Find the integral value for the following functions 3x 1. S 2. S(sec(4x) – 1)² dx 3. S dx V1+3x2…

A:

Q: t or points for each ase portrait on this page. dx = 2x – 2y – 4 and- = x+ 4y +3 dt dt GURE 6.1.

A: Given

Q: ||r(t) × r"(t)|| ||r"(t)||³ Use the formula k(t) = to find k(t). r(t) = eti+ej

A:

Q: 1. a) Find the linear approximation of f(x) = Vx at x= 27 %3D b) Use it to approximate V26.9

A: To find linear approximation of given function

Q: is said to be the Laplace transform of f, provided that the integral converges. to find L{f(t)}.…

A: Let's find.

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

A:

Q: If $2400 is invested for x years at 13% interest, compounded annually, the future value that results…

A: We have to solve the compound intrest problem and draw the graph for the same

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A:

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

A:

Q: Question 3 Find the area enclosed by the curves y y = 2 V1- 9x2 O V5- 9. 2n B 3 5n D 6

A: Solution is given below:

Q: 'If you have three functions: f(x) = x2 – x g(x) = 3x – 1 w(x) = x² – 2 So, find gof (x) and fow(x)…

A:

Q: Q2) Convert the polar function r tan20 to cartesian. %3D

A:

Q: Evaluate the integral. (Use C for the constant of integration.) cos3 sin2 dt

A:

Q: 3 Ay 10- Find equation of tangent line at the point (0, 7) for Cos (7x - y)

A: Solving