Find all critical numbers of of the function f(0) = 2sece+tan@¸ 6 π < 0 < 8π. Select one: a. 0= b. 0= 0= d. e= Oe. 0= 0= 43 TT 6 47 15π 417 6 417 6 43T 2 47 T 6 477 6 47π 6 X Incorrect

Q: Find the absolute extrema of the function on the closed interval. Use a graphing utility to verify…

A:

Q: Find the following using the table below. 1 2 3 4 24 1 3 413 2 g(x) 3 4 2 1 g'(x) 1 4 2 3 x f(x)…

A: Find h'(1)

Q: The velocity of an object is v(t) = 40-t²,0 ≤t≤ 6, where v is measured in meters per second and it…

A: The objective is to find v(t) and a(t).

Q: 2. Let f(x, y) = Give the exact value of the following and simplify to lowest terms. a) f (1,2) b)…

A:

Q: Consider the following functions. ((x) = -₁ g(x) = 2x + 8 Find (fog)(x). Find the domain of…

A: given fx=1x, gx=2x+8

Q: yey + sin(x)+x.ey. dy d.x

A: Given differential equation y.exy+sinx+x.exydydx=0 A differential equation of the form Mdx+Ndy=0 is…

Q: Find the total area between the x-axis and the curve f(x)= = x = 1 and x = 9. O a.) (10ln5-5ln9)…

A:

Q: Find the unit tangent vector at the indicated point of the vector function r(t) = e4t cos ti + et…

A:

Q: Tutorial Exercise Find the volume V of the solid obtained by rotating the region bounded by the…

A: I am attaching image so that you understand each and every step.

Q: 2. Prove that the general solution to ndm + mdn + mn (3dn + dm) = 0 -3n-m is Cmn = e

A:

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Solve by integration

Q: For the given position vectors r(t) compute the unit tangent vector T(t) for the given value of t.…

A: Recall: T(t)=r'(t)r'(t)

Q: Gravel is falling on a conical pile at the rate of 32- min 1 If the radius of the pile is always the…

A: Let the radius of pile be:  r Let the height of the pile be:  h

Q: This problem requires you to solve the following 2nd-order linear, non-homegeneous ODE using the…

A:

Q: Find the point at which the line r(t) = (6, − 8, 1) + t(4, 7, − 2) intersects the yz plane. -

A: Here we have to find the point of intersection

Q: Let m(x) = x²-3x - 4; n(x) = 2x² + 5x + 2 and q(x) = 2x² - 5x - 3. Determine. 1. (m+n)(-1) 2.…

A: Solution

Q: 8.5.39) 81 √x³1-qxz dx 81 __81 A+B. ८ (x) 7xx *(x - १) X X X 7

A: We can solve this above given indefinite integral by partial fraction method.

Q: Shown below is the graph of the flow rate f(t) of a pipe, in gallons per minute. Here, t = the…

A:

Q: Compute the values of dydy and ΔyΔy for the function y=e3x+2x given x=0 and Δx=dx=0.02   Round…

A: Given,y = e3x + 2xDifferentiate 'y' with respect to 'x' we get:dydx = 3.e3x + 2dy = (3.e3x +…

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Use the Product Rule or the Quotient Rule to find the derivative of the functic y = 7x5 sec(x) y' =…

A:

Q: The properties from properties of the integral. A True of the Laplace transform are inherited B)…

A: Solution: Answer - True (A) option is true

Q: If z = (x + y)e*, x = 3t, find dz/dt using the chain rule. Assume the variables are restricted to…

A:

Q: Question #9 State Trapezoidal rule and use it to approximate the definite integral for the stated…

A: Trapezoidal rule: ∫abf(x)dx= h/2 [f(a)+f(a+h)+...f(a+nh)] h=(b-a)/n , n is the number of…

Q: Find the derivative dy/dx by implicit differentiation cos(xy) = 1 + sin(y)

A:

Q: 5 FILLING A CONE An inverted right-circular cone stands with its tip at the origin (like an…

A:

Q: Evaluate the integral 1/3 El+ secx tan x dx

A:

Q: Use the properties of the derivative to find the following. r(t) = ti + 4tj + t²k, u(t) = 5ti + t²j…

A:

Q: Find the area of the triangle with vertices P(1,5, –4), Q(0, 0, 0) ar R(3, 4, 1). NOTE: Enter the…

A: We have to find the area of triangle .

Q: f'(2). f(x) = f* (2t - 3) dt

A: Topic:- application of derivatives and integration

Q: Find the derivative of the vector function r(t) = ln(14-t²)i + √12 + tj - 4e5tk r' (t) = (

A: Given data÷ Find the derivative of vector function.

Q: Using the squeeze theorem, evaluate: lim h2 + cos(h) h--> -∞ 5 + h - 2h2

A: Solution

Q: (20 points) Suppose that an object moves along the y-axis so that its location is y = x² + 8x at…

A:

Q: 9. Find the vertical and horizontal asymptotes of the following functions. (a) f(x) = 9x² - 4 2x2 X…

A: a) f(x)= (9x2-4)/(2x2-x) b) f(x)= (x2-3x4)/(x-1).

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) 3 f(x) = x² -…

A:

Q: Find an equation of the normal line to the parabola y = x² - 6x + 4 that is parallel to the line x -…

A:

Q: Let f(x) = - 4 cos x + 9 tan x f'(x) = ƒ' 7T =

A:

Q: Find the area of the shaded region. (0,0) y = mm 3 (3,15) Xx

A:

Q: This set represents O a line O a half-plane, including the boundary O a half-plane, excluding the…

A: Solved below.

Q: 8) Use a graphing calculator to predict what income the company should expect in its seventh year of…

A:

Q: (a) f2x(x+3)¹0 dx (b) So I sin z I cos z-sin z -dr

A:

Q: Determine whether the Mean Value Theorem can be applied to the function f(x)=x³ on the closed…

A:

Q: A bystander witnesses a train passing by them at t = 0, where the position function s(t) = t³ - 6t…

A:

Q: A) Consider the vector field F(x, y, z) = (6yz, 8xz, xy). Find the divergence and curl of F. div(F)…

A:

Q: Hello thank you for the response to the first question, could you also answer question 2?  Thank…

A: 2. The given integral is ∫14x2+4x+10dx We have to find the solution of the integral.

Q: Use the rules of differentiation to find the derivative of the function. f(0) = 2 cos(8) - sin(0) 9…

A:

Q: Use the position function s(t) = -16t² + vot+s for free-falling objects. A ball is thrown straight…

A: The position function st=-16t2+v0t+s0 for free-falling objects. A ball is thrown straight down from…

Q: 4 3 + kxy¹ − 2x)dx + (3xy² - 20x²y3³)dy = 0

A: Topic:- differential equation

Q: Suppose that the height of a particle is given by s(t) seconds and the height is measured in meters.…

A:

Q: A body moves on a coordinate line such that it has a position s= f(t)=12-4t+3 on the interval 0st≤6,…

A: