general equation in y dx 2. The linear differential equation dy x = y' has the integrating factor equal to_ 3. When the linear differential equation is multiplied by an integrating factor the equation will

Q: Let S be the region enclosed by the graphs of y = 2x and y = 2x² for [0,1]. What is the volume of th...

A: We have to find the volume of the solid.

Q: y = /x+ /x

A: We will use algebraic techniques to find the derivative.

Q: the derivative of y with respect to the given independent variable.   y=(sin5x)^6x

A:

Q: A person coughs when a foreign object is in the windpipe. The velocity of the cough depends on the s...

A:

Q: What is the volume of the solid generated by revolving the shaded region about the line y = 3 y x = ...

A:

Q: 9 cos `x sin x dx

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question fo...

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

A:

Q: Determine the volume of the solid obtained by rotating the region bounded by y= 2x2 and y = x³ about...

A: Let's find. 

Q: Use the difference an+1 – An to show that the given sequence {a, } is strictly increasing or strictl...

A:

Q: Prove that n° + 2n is divisible by 3 for all n E N. Prove by induction that if p is any real number ...

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

Q: Find the Taylor polynomials of orders n = 0,1, 2, 3, and 4 about x = xo and then find the nth Taylor...

A:

Q: Find the amplitude, period, and horizontal shift of the function. y = -3 sin(6(x +)) amplitude perio...

A: Given query is to find the period amplitude and the horizontal shift.

Q: Given the curve in rectangular coordinates 36 = 1 16 Find the parametric equations given that whent ...

A:

Q: Q5) Use the Chain Rule to express dy /dx in terms of x and y: y = csc t and x = sec-1t

A: To find: The value of dydx in terms of x and y. Given information: y=csct,x=sec-1t  

Q: f(x) Find g'(3) given that f(3) = -6, f'(3) = –4 , and g(x) = %3D %3D 8 Answer:

A:

Q: Order the functions from slowest growing to fastest growing as x -o: 4x², (In x)³, 10*, and e2x

A:

Q: 03) Evaluate the following integrals: A) y = sec(tan-1x). tan³(tan-1x) 1+x2 dx

A:

Q: The force on a particle is described by 5x³ – 5 at a point x along the x-axis. Find the work done in...

A:

Q: Part b: Continue to assume that the height of your cylinder is 8 inches. Write the radius r as a fun...

A: Solution is written in below steps.

Q: Determine whether the alternating series converges. k + 1 E(- 1)*+1. 3k + 1 k=1 O The series diverge...

A:

Q: Activity 3.2. Find the slope of the tangent line to the graph of the function defined by y = 4 + 2x ...

A: Activity 3.2:Slope of the tangent line to the curve y=f(x) at(x0, y0) is given by dydx(x0, y0).y=4+2...

Q: 1. Given: az = 12, a3 = 24 Find: ao =? а. 2 b. 4 с. 3 d. 5 2. Given: a, = 16, a, = 1024 Find: a, =? ...

A: 1)  a2=12 , a3=24    Since the terms are in geometric progression    ⇒a3a2=a2a1=a1a0=rconsider a3a2=...

Q: This integral represents the volume of a solid. Describe the solid. [(4 + cos(x))2 - 42] dx The inte...

A:

Q: Consider the following system on (-1,∞0) × (–1, 0), 2y 2x 1+ Y 1+x 1. Find all the equilibrium point...

A:

Q: i) State the change-of-base formula for logarithms. ii) Using the change-of-base formula, and the na...

A:

Q: 9. . 2 CoS cos rsin?x dx. 10. 2 sinºx dx

A:

Q: The Differentiation to be made must be based on the following topics. - Power Rule Give 3 examples w...

A: It is required to give three examples with solution and final answer on differentiation using power ...

Q: 23) Find the limit for the following function by using L'Hopital's Rule: x². e* lim x→0 tan² x

A: limx→0x2extan2x

Q: 0 2 46 8 10 12 f(r) = 16 14 13 14 16 20 23

A:

Q: VT(y – 3) where 1< y < 2.

A: the given curve,   x=13y y-3 where 1≤y≤2

Q: 1. Let E be the surface in R3 given by z = e-*-y where x2 + y² < 4, oriented with the upward normal....

A:

Q: Diferential equation Pls dont skip steps on the solution  The population of a village grows with a ...

A: Given, The population of a village grows with a ratio proportional to the population at time t. The ...

Q: A boat is pulled into a dock by a rope attached to the bow of the boat and passing through a pulley ...

A:

Q: Given f''(x)=7x+6 and f'(−1)=−1 and f(−1)=1.   Find f'(x)=    and find f(3)=

A:

Q: Differential equation A tank initially contains 10 gal of fresh water. At t= 0, a tap is opened, po...

A: Given

Q: Given that the height, s(t), (in feet) of a free-falling object is given by the formula: s(t) = -16t...

A:

Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

A:

Q: 6 for the Use sigma notation to write the Taylor series about x = function. 1 x+5 k =

A:

Q: Find if the following is homothetic: F (x,y) = x²y +y3 %3D 1. Yes, it is homothetic. 2. No, it is no...

A: topic -  homogenous funtion

Q: to す x²Y- X

A:

Q: dy Find by implicit differentiation and evaluate it at the given point. tan (3x + 8y) = x, (0,0). dy...

A: Differentiate the equation with respect to x .

Q: Write (1-az2-bz)/(1+bz) as a product of linear factors.

A:

Q: (Note that you can click on the graph to get a larger version of it, and that it may be useful to pr...

A:

Q: Use the Quotient Rule to find the derivative of the function. Re) = cos(e) f(t) f'(E)

A: Given f(t) = costt5wktduvdt = vu'-uv'v2

Q: Find up ifr=V ands=16420 Find dr and s=16¢ê2ot

A: Solving the problem by finding the solution of the derivative.

Q: Using the figure shown, find sece (3,- 4) 5/4 5/3 -5/4 -5/3

A:

Q: A circular plate with radius 6 m is submerged vertically in water as shown. Express the hydrostatic ...

A:

Q: 5 In(x); xo = 1

A:

Q: A. Find the derivatives of the following functions: 1. f(x) = (-x - 5)* 2. f(x) = (-x² - 4)-2

A:

Q: Q3) Evaluate the following integrals: sec(tan-1x). tan³ (tan-1 x) A) y = S dx 1+x2

A: