sin 3x dx

Q: The moment of inertia of a solid body about an axis in 3-space relates the angular acceleration abou...

A:

Q: Revolve about the line x= -1, use shell method.  bound by y= x4, x=0, y=16. mark axis of rotation, d...

A:

Q: 4 Given fax) = 3 Caloulate flA) with domain (2,'e

A:

Q: 2. Find the equation of the tangent line to the curve y = x² – 2x - 3 that is parallel to the line x...

A: Given: The tangent line to the curve y=x2-2x-3 is parallel to the line x+y=1. To Find: The equation ...

Q: Given the points (3,3) and (0,-3), construct two equations in point slope from using each of the poi...

A:

Q: Make an estimate for the mean value of the function f(t) = 2 - cos COS in the range [0,4] using 2 eq...

A: In this question we have to find an estimate for the mean value of the function given in the questio...

Q: Question 9 Find the length of r 27 5 from 0 = 0 to 0 : 107 107 3 207 9 207 3

A:

Q: A polar curve r = f (0) has parametric equations x = f (8) cos (0) and y = f (0) sin (0). Then, dy f...

A:

Q: Find both the interval and radius of convergenceof the Power Series るt Show!

A:

Q: Solve: 4*=2S6 3256 Yand to tenths

A: Given that 42-3x=256 ⇒42-3x=44 Here bases are same,  Therefore, powers are equal ⇒2-3x=4 ⇒2-4=3x Or ...

Q: #2

A:

Q: (a) Consider the following. Sketch the graph of f.  (b) Identify the values of c for which the follo...

A:

Q: PT 1 Directions: Differentiatse each function with respect to x. Be mindful for the rubric in consid...

A: Solution:Given(d) y=54x23(e)y=3x2To find the  differentiation with respect to xFormuladdx(xn)=nxn-1

Q: 3

A: Given, There is 9 inches of snow falls over a 12 hour period. We have to write the theorem that guar...

Q: Hi I’m stuck at this question

A: The solution is in step 2

Q: Mr. dela Cruz encourages his students to solve math problems fast and with accuracy. He observed in ...

A: Given: fx=3x2-x  ……1   where x=Number of word problemsfx=Minutes spend   To find: Average rate of ch...

Q: Evaluate the definite integral given below. I (-5x² +x-²) dx Submit an exact answer.

A: Integration Question

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it...

A: Solution

Q: Complete the following applied optimization word problem. Include a well-labeled figure, clearly def...

A:

Q: Find dy/dx for the function. x² + 5x + y² – 9y + 1 = 0 dy 2х + 5 dx 2у — 9 II

A: Given: x2+5x+y2-9y+1=0  

Q: The foci of the hyperbola are (0, -15) and (0, 25), and the asymptotes are y = -x + 5 and y = - x + ...

A:

Q: The following table shows the results of a survey of authors by a (fictitious) publishing company. H...

A:

Q: Use Fundamental Theorem of Calculus

A:

Q: dx (4x²+1)* 2.

A: The given integral is:  ∫84x^2+1dx Consider, x=12tanθ On differentiating both sides. dx=12sec2θ dθ N...

Q: Find the local maxima, local minima and saddle points of the following function. f(x, y) = 1 – x² + ...

A:  SolutionGivenf(x,y)=1-x2+y23We need to find the local maxima , local minima and saddle points of th...

Q: answer pls show solution thank youu

A: ∫xsinxcosxdx=12xsin2x+Ax+Bsin2x+C

Q: 4. Let V=-3i+2j and U=4i-5j find the following  a: 2V-4U b: ||U|| c: V . U

A: *Addition and subtraction of two vector is always vector quantity . * Dot product of two vector is s...

Q: Consider the series: - - - ... 32 33 34 35

A:

Q: find the relative extrema and inflection points

A:

Q: (z + 5)², (y – 1)? - Given the ellipse 4 = 1 9. + Find the center point: Give the vertices: Give the...

A: Ellipse with center h, k=-5, 1, b=3, a=2. Ellipse vertices given:  -5, 4, -5, -2. Endpoints of the m...

Q: 3. a. Given the velocity v(t) = 42t – 4 and initial position of the body as S(1) = 18. Find the body...

A: a) The velocity is the rate of change of displacement . So the position of a body at any time t will...

Q: For the vector-valued function r, carry out the following steps. a. Evaluate lim r(t) and lim r(t), ...

A:

Q: Solve the equation x*ydx +(y-x² )dy = 0.

A:

Q: Directions: Differentiatse each function with respect to x. Be mindful for the rubric in considering...

A: (a) Consider the provided function, y=5 Find the derivative of the function. Apply the constant rule...

Q: 1. Convert the point (2,-1) from polar to rectangular to coordinates

A:

Q: find the absolute extrema

A:

Q: Concider the area shown, bounded by f(x)=x4 and g(x)= 16x-4x2. Set up the intergral to find the area...

A:

Q: Consider a bag containing four red marbles, three green ones, one transparent one, three yellow ones...

A: Given, four red marbles,three green ones, one transparent one, three yellow ones, and three orange o...

Q: 1. Consider the function f(x) = 3% %3D a) Write a power series for f(x)centered at a = Zusing summat...

A: For this question I use Maclaurin series. A Maclaurin series is a power series that allows one to ca...

Q: Use the Fundamental Theorem of Calculus to find g'(x) for each of the following: a) g(x) = fº dt -x ...

A:

Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A:

Q: Evaluate the definite integal. (Hint: Break up the integral into two integrals so you can get rid of...

A:

Q: Find the area of the region pictured below that is bounded by the functions u(y) = y + 6 and v(y) = ...

A:

Q: An elliptical culvert is 3 feet tall and 8.8 feet wide. It is filled with water to a depth of 1.15 f...

A:

Q: Find the area of the region between y = sinx + 3 and y = 0.7 for 5 < x < Round your answer to three ...

A:

Q: Which of the following represents the area interior to both r = 10 – 10 sin(0) and r = 10 sin(0)? */...

A: Consider the curves  r=10−10sinθr=10sinθ    

Q: A car is worth $16,500 when it is three years old and $12,000 when it is six years old. Solve for th...

A: to find:- Depreciated amount after each year.

Q: Find the area between the graph of this equation and the t-axis. R'(t) = 200e^0.5t for 0 ≤ t ≤ 10.

A: to find:- Area.

Q: Q2: Find the Maclaurin series for the function. (x)= e2x up to 4th term.

A: The general form of the Maclaurin series is: ∑n=0∞fn0n!xn On expanding this series up to four terms....

Q: find the volume about y-axis y %3D %3D X = 2tan 2. 2. 3 x

A: In the  question we have to find the volume about y axis.