2. The position of a particle moving horizontally is given by s(t) = t³ − 6t² + 9t + 4, where s is in meters and t is in seconds.

Q: Convert the degree measure to radian measure. Round to three decimal places. −46.23°

A: Convert the degree measure to radian measure. Round to three decimal places. −46.23°   Please show…

Q: IV. A small business determined that the price-demand and cost functions for producing and selling x…

A: This question is related to profit and cost functions, we will solve it using given information.

Q: Let h(x) = f(x) = g(x). If f(x) = 9x² and g(x) = 8x, what is h'(-5)? - Do not include "h' (-5) =" in…

A: SOLUTION-

Q: What is the y=x^2 - 4 and O 1/2 -1/2 3/2 -3/2 ONA y-coordinate of the centroid of the plane region…

A: Let's find y co-ordinate of the centroid of the plane bounded by two curves.

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y-axis,…

A: The region is bounded by y=x^3, y axis  and y=8.And the region is revolved about x=0. We need to…

Q: What is the volume in cubic units of the solid formed when the region bounded by y = x^3, y- axis,…

A:

Q: (³² sin æcosx tan³ xcot³ x sec xcscx dx

A:

Q: 4. (x³ − 2x² + 1)dx [³ (x² - 2x + 5)²

A: The integral to be evaluated is ∫x3-2x2+1dxx2-2x+52. The first step will be to do a partial fraction…

Q: π 2 EK 4 cot4 x dx

A: Here, note that: ∫cot4x dx=∫cot2x cot2x dx=∫(cosec2x-1) cot2x dx=∫cosec2x cot2x dx-∫cot2x…

Q: Solve the differential equation of order one.  (3x − 1)y′ = 6y − 10(3x − 1)1/3

A:

Q: velocity function of a particle moving along a horizontal line is given by v(t) = t² = 6t + 8, re t≥…

A: Please refer to the image below

Q: The rate of change of revenue (in dollars per calculator) from the sale of x calculators is R'(x) =…

A: Here, R'(x)=(x+2)ln(x+2)

Q: What is the x-coordinate of the centroid of the plane region bounded by the x-axis and the…

A:

Q: The area bounded by the graphs of y = 2 - x^2 and y = x^2 revolves about the x-axis. Determine the…

A: The given curves are y=2-x2 and y=x2   Now find the point of intersection between the given curves.…

Q: Find the volume of the solid generated by revolving the region bounded by the lines and curves y =…

A: Here we have to find the volume.

Q: -2 Given f(x) = ²√4 - t² dt, evaluate the following. -2 (i) f (-1) (ii) f(0), by interpreting f (0)…

A:

Q: 1. Why is it important to use the six trigonometric ratios in getting a missing angle value?

A: The six trigonometric ratios are sine, cosine, tangent, cotangent, secant, and cosecant. Basically,…

Q: approaching

A: Please refer to the image below

Q: Let f(x) = e2sinz 1. Use the local linear approximation of f at x = 0 to approximate e2 sin(0.01

A:

Q: (sinhz)(coth’z+csch*r)dz

A: Integration is done.

Q: (y² - x² sin xy) dy+ (cos xy - xy sin xy + e²x) dx = 0

A:

Q: Let f(x) = e2sinx 1. Find the absolute extremum values off on the interval [7]

A: To find the extreme values of given function at given  interval.

Q: Perform the integration. x-1 S= dx x² + 5x + 8

A: ∫1x2+a2 dx =1atan-1xa+C

Q: I. Determine the convergence of each of the following series using the indicated test. In number 4,…

A:

Q: What is the center of gravity of the solid formed when the plane region bounded by y = x^2 and y=x+2…

A: We sketch the given region using a graphing calculator as shown below:   The shaded region is…

Q: Find the area (in square units) bounded by the parabolas x² + 2y - 8 = 0. a. 7.10 sq. units b. 7.01…

A:

Q: 3 Scos³ xdx from a - 0 to b= 2

A: This question is related to definite integration, we will solve it using given information.

Q: Perform the integration. (sinh x)(coth x +csch3x) dx +

A:

Q: What is the y-coordinate of the centroid of the plane region bounded b y = x^2 - 4 and y = 2x - x^2…

A: Y coordinates of centroid of plane is given.

Q: The total revenue (in hundreds of dollars) from the sale of x spas and y solar heaters is…

A:

Q: √²2² √(-2² + 1)³ dz

A:

Q: Find y'. Show the step-by-step solution. Simplify your answer. 2x 1. y = In 4x²-1 2. y = log(tan x³)…

A:

Q: 8. A company is selling calculators for $100 each. How many should it sell to break even if it costs…

A:

Q: x-1 x² + 5x + 8 S dx

A:

Q: Test for exactness, then solve.  ey dx + (2y + xey) dy = 0

A: This question is related to differential equations, we will solve it using given information.

Q: Find the volume of the solid that results when the region enclosed by y = √√√x, y 0, and x = 49 is…

A:

Q: 7. Find the area bounded by the curve y = 4x - x^2 and the lines x = 0 and y = 4.

A:

Q: Is that pi (π)? Or something?

A: Given ,  Area of the region bounded by  y = cosx , x = -π/2 and x = π/2 and the x - axis  We have to…

Q: Determine the following integrals: 1.1.1 ļ (cos2x+sin x) dx x+1 .1.2 1₁ JF dx x + 2x+1 2 1.1.3 | ₁…

A: ∫ sin(ax) dx =-cos(ax)a+C       and     ∫cos(ax) dx =sin(ax)a+C ∫xn dx = xn+1n+1+C Note : As per our…

Q: The position of the sun at sunset, north or south of due west, depends on the latitude and the day…

A: We need to solve sinusoidal problem.

Q: If tant=−3/4 and π/2 <t< π, find sin, cost, sect, csct, cott.   Enter the exact answers.   sint=…

A: We have to find value

Q: ¹In(1 + x) -dx X

A:

Q: Find fx (x,y) and f, (x,y). Then, find fx(1, -2) and fy (-3,3). f(x,y) = -2xy +9y² + 10 fx(x,y)=

A: We can find the answer as below.

Q: group of management students are creating a business plan for oposed shoe brand SoleSearching. The…

A:

Q: 4.) Give the general solution of the following ODE: x" + 3x - 4x = 0.

A:

Q: In x 2. Use a local linear approximation of f(x) = 1+x² to estimate In (0.9) 1.81

A:

Q: Determine the values of r for which the differential equ y" - y = 0 has solutions of the form y =…

A:

Q: 3x² - 6x² + x (36²-6x² x)]d² X

A:

Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

A:

Q: Find the 4th midpoint Riemann sums of function f(x) = x³ +3 on (0,2) Blank 1 with respect to a…

A: