Consider the region R between y = sin x and the x-axis for 0 ≤x ≤π. (a) Find the volume of the solid obtained by rotating R about the y-axis. (b) Find the volume of the solid obtained by rotating R about the x-axis

Q: x? – 3 - 3 dx x +1 Evaluate

A:

Q: Choose the letter of the correct answer. Which of the given statements is true about the continuous ...

A: Given continuous function is y=x2 which is defined on ℝ. To check whether the function has maximum o...

Q: Find the general solution of the differential equation xyl – yl – (x – 1) cos (x)+y = 0 and choose t...

A:

Q: Consider the following. y = tx2 + t°x dy Find dx dy dx dy Find dt dy dt II II

A: y= tx2+t9x  1) find dy/dx  2) find dy/dt 

Q: (x+ x+)dx + By xdy 2. (3x-y-4)dy - (x+y-4) dx a0 1. when XE4, Y=

A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than ...

Q: n (n+1) (2n +1) 2. Find the sum (k+4)2, hint use use this formula and subtract out the 1, 2 ,3, and ...

A: Explanation of the answer is as follows

Q: Evaluate the derivative of the following function. f(x) = (2x)²x f (x) = (Simplify your answer.)

A:

Q: Let f(x) = (1 + 9x²)(x – x²). Find the derivative by using the Product Rule. f'(x) = Find the deriva...

A:

Q: 1 If 15.0 liters of neon at 25.0 °C is allowed to expand to 45.0 liters, what must the new temperatu...

A: As per guidelines if multiple questions are posted we are allowed to solve only 1st question... than...

Q: 5. Find the integral 1 -dx x -5x +6

A:

Q: The natural law of decay is used to study the radioactive decay of Radium: dm = -km dt Where m is th...

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

Q: 13. Iff (u) = sec u , find f'(u) a. sec u tan u С. sec x tan x b. sec u tanu d. sec x tan x 14. Whic...

A:

Q: 1. ABC company charges its customers according to their usage of electricity. One rate it charges co...

A: Given that:Fixed charge = $6.00Energy charge per kwh for first 1000 kwh=$0.04Energy charge per kwh a...

Q: Draw the graph of the following functions and give the domain  and range of each.

A:

Q: Choose the letter of the correct answer. 1. There are 4 conditions to determine if the given functio...

A: Given 1. There are 4 conditions to determine if the given function f is continuous at the given numb...

Q: Solve the first order differential equations 1 (x³ + y4)dx + 8y³xdy = 0 when x = 4, y %3D | 2

A: differential equation

Q: Evaluate the definite integral. 3 2esin ( z ) cos(x)dx 3

A: Given that: ∫0π32esinx.cosxdx

Q: 6. data are those that can be counted and assume only a countable number o values. A. Continuous C. ...

A: Use the definition of data and choose the correct answer

Q: cln 10 Evaluate Jin 8 dx e – 5

A:

Q: ". standard deviation is always positive

A:

Q: A tank contains 4,000 L of pure water. Brine that contains 35 g of salt per liter of water is pumped...

A:

Q: For following points please plot the pointsand find the distance between the points and find the mid...

A: We know that, Distance= √((x2-x1)²+(y2-y1)²) Mid-point= ((x1+x2)/2,(y1+y2)/2)

Q: Use linear approximation, i.e. the tangent line, to approximate 2.86³ as follows: Let f(æ) = x³. The...

A:

Q: Given f(x) = 2x + 5 when x cannot equal 1, and f(1) = 6. a) Sketch the graph of f. b) For wha valu...

A: Firstly , we draw the graph of the given function and after that find the value of 'x' .

Q: Find the derivative of: – 8e-8* cos( – 3x). [Hint: use product rule and chain rule!] Use e^x for eª....

A:

Q: Find the solution for Bernoulli equation below. dy y ху? dx

A:

Q: 1. Find the resultant of the vectors A and B. A = 8a, + 7a, + 2a, В - - За, — 8а, - ба, Draw the vec...

A: Given that: A→=8ax+7ay+2azB→=-3ax-8ay-6az

Q: (Зх — у — 4)dy — (х + у— 4)dx %3D 0 - -

A:

Q: Verify that f has an inverse function. Then use the function f and the given real number a to find (...

A: f(x)=18x5+5x3; a=-9

Q: On the graph of f(x) = tan x and the interval [-27, 0), for what value of æ does the graph meet the ...

A:

Q: Find symmetric equations for the line of intersection of the planes. 4x — 2у — 2z %3 0, 2x + y + z =...

A: NOTE: Refresh your page if you can't see any equations. . system Ax=b is 

Q: y = xV 64 – x² + arcsin 5.

A:

Q: Solve the first order differential equation. (3x - y - 4)dy - (x + y - 4)dx = 0

A:

Q: y'(x² +2)+4x(y² +2y+1)=0, y(0) =1.

A:

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: – 4 a (a) In 6-4c-1 (b) In Vb°c'a 'c...

A:

Q: Let f(x)=1/2 sqrt3x over the interval [0,3]. Find the surface area of the surface generated by revol...

A:

Q: Find the average value of the function g(x) = xe *in the interval [I, 4].

A: We know that average of the function in the given interval is the ratio of the integral of the funct...

Q: plsease show step by step x - 3y-3z=-14 x-2y-2z=-10 -x+6y+3z=11

A: Given that: x - 3y-3z=-14  ...........(1)x-2y-2z=-10    .............(2)-x+6y+3z=11      ..........(...

Q: Given the curve y=2x^0.5 and line x =y. Find the area bounded and the  distance from the x axis to t...

A: Given the curve y=2x^0.5 and line x =y. To find: Find the area bounded and the  distance from the x ...

Q: Sove the differential equathons (x+ 2y -1) dx-(2x+y-5) dy =

A: Homogeneous equation to reducible form :                dydx=ax+by+ca'x+by'+c', provided , aa'≠bb'.T...

Q: 1 cosØ dø (7-sin²Ø

A:

Q: Starting from the first principles (lim x->a f(x) - f(a) / x - a = lim h -> 0 f(x+h) - f(x) / h), fi...

A: Note:- according to the company policy we attempt only one question so please upload the next questi...

Q: If In(a) = 2, In(b) = 3, and In(c) = 5, evaluate the following: In(a³b') (c) In(bc) - 3 1 а (d) (In ...

A:

Q: Choose the correct letter of the answer. 1. What is the equation of the line at x = 2? A. y = 4x - 2...

A: Find your answer below 

Q: Evaluate the integral. 1 2187 19683 3e° 2187 e 4

A:

Q: Write A if the function is continuous and B if not. 1. f (x) = x² + 2x + 1 at x = 2 2. f (x) = x² - ...

A: we need to identify that given function is continuous or  not

Q: Show that V is a subspace of R3: V is the set of all (x, y, z) such that z = 2x + 3y

A: Show that V is a subspace of R3 : V is the set of all (x,y,z) such that z= 2x+3y.   

Q: Find the cosine of the angle between the planes  x + y + z = 0 and x + 4y + 3z = 2.

A: The two planes be  a1x+b1y+c1z+d1=0a2x+b2y+c2z+d2=0 let the angle between the planes be α  Then cos ...

Q: Ordered: Baby formula 1:2 strength, 60 mL per hour to be diluted with SW. a. What is the equivalent ...

A:

Q: Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f...

A: Given:- The function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of ...