(x + 2)" 5n n=1

Q: The shaded region R is bounded by the lines x = 0, y = 0, and the curve y = x² – 2x + 2 as shown in…

A: Here, the volume is: V=∫03π(y)2dx =π∫03x2-2x+22dx=π∫03(x-1)2+12dx

Q: If y = x + ex, find dx/dt.

A: Given query is to find the derivative of the expression.

Q: Brd Derivative OF y=-Jin3x

A:

Q: Find the total distance traveled by a body and the body's displacement for a body whose velocity is…

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

Q: Q3 Find y ン ニ月(^)→ t(メッ) tanx 2 y-(1+x)

A:

Q: S tan³ 6x sec10 6x dx 1 sec1²6x + sec1º6x + C 72 1 60 B none of the choices 1 -sec1²6x + 72 1 1…

A:

Q: Determine if the equation is separable. If so, solve the initial value problem. " e'y'(t) = t (In…

A:

Q: TVy+1-2 dy can be evaluated conveniently if we let x=VVy+1-2 and dy = 4x(x² +2)dx. T True F False

A: follow next step

Q: | sinh54x cosh 4x dx can best be evaluated by General Power Formula. A True В False

A: Option A is true

Q: Let R be the region bounded by y =x+4, y=0, and x=4. Draw the region R, and evaluate the following…

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

Q: Evaluate: (9 - 22) -1 x- V9- x sin A f (z) = %3D V9-2 None of the above a+V9-r sin ©f(z) = V9-7 9-…

A: We have to choose the correct option from the given options according to the given information

Q: 9x 4. J, 16+9x

A:

Q: x² +64 Using trigonometric substitution, given - dx, the simplified form of the integral is: sec ede…

A: ∫x2+64x2 dxput x=8tanθdifferentiate on both siddx=8sec2θ dθ

Q: X-8 Q18: Select the incorrect step while evaluating S dx. x2-7x+10 x-8 8 I: Let I = dx = S dx - S dx…

A: Given problem:-

Q: How/ Find the General solution for dhe following O e %3D

A: The given differential equation is;  e2x(dy+2ydx)-x2dx=0. Repost the next questions.

Q: What is the derivative of f(x) =2cos (x)? %3D 2 cos (2x) O -2 cos (2x) O 2 sin (2x) -2 sin (2x)

A: f(x) =2cos2xdifferentiating w.r.t xd(f(x))dx=ddx(2cos2x)

Q: dy Solve the differential equation 14y/r-1 dx 2.x subject to the initial eSy2-8 condition y(2) 1. No…

A:

Q: Give the parametric and symmetric equations of the line that passes through the point (4,-3, 5) and…

A:

Q: An astronaut drops a hammer from rest a vertical distance of 2.0 meters above the surface of the…

A: Initial velocity of the hammer, u = 0 m/s Vertical distance above the surface of the moon from which…

Q: 3 Fin %3D tan (X?y) tanx 2.y=(1+x)

A: 1) ln(x2+y) =tan-1(x2y)  2)y=(1+x2)tan^(-1)(x).

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

A:

Q: uppose that f(1) = 6, f(4) = -2, f'(1) = 5, f'(4) = -3, and f" is continuous. Find the value of af"…

A:

Q: Je* cos (7e*) cos (4e*)dx Evaluate: @ --co (3e*) -cos (11e') + C (3e*) – -cos (11e*) +c A 6. 22 ®…

A:

Q: Consider the initial value problem y'(t) = t² - 3y, y(3) = 1. What is the approximation to y(3.1)…

A: Here we have to use the Euler's method.

Q: Sy+1-2dy can dy = 4x(x²+2)dx. be evaluated conveniently if we let x VVy+1-2 and True False

A:

Q: Question 1 1 In solving the antiderivative of f(x) = sin(x) + 3cos(x)+3 by miscellaneous…

A:

Q: e auxiliary equation of the DE: sy"-4 y"+ -2 y=0 is s m3-4 m2+-2 =0. Lect one: True False

A: We have to choose the correct option from the given options

Q: For the following integral, answer the questions below. ets dx (a) What should be your first step in…

A: Use first substitution then use integration by part

Q: find S- とx 1-COS2X

A:

Q: Determining Differentiability In Exercises 7-10, describe the x-values at which f is differentiable.…

A:

Q: dy Find given x'+y' =8xy. dx Note: Enclose all terms in a parenthesis if either the numerator or…

A: Here, the given equation is: x3+y3=8xy...(1)

Q: Let E be the solid that lies under the the plane z = 4, and on the xy-plane it is enclosed by y=…

A: Find your answer below

Q: (4x* – r*y +y*)dx + x*dy = 0.

A: Let's find.

Q: y' = et ; y(0) = 2 find the general solution

A:

Q: 5xy = 4x²z – 3yz2; yx and y,. -

A:

Q: Given t = x + ex, find dx/dt

A:

Q: Draw the graph of the following relations and/or functions. Make sure that all "important" points…

A: As per our guidelines, we can answer only one question in a single request. Kindly re-post the other…

Q: Find dy dx I-Ln(x+3)=tかが(x:)

A:

Q: S sin°x cos³x dx 1 2 1 sin'x +sin°x - sin'"x + C sin'a +sin'x +sin"x +c B 1 sin'

A:

Q: To evaluate sin 0 do , factor sin*0 as (sin²0) ² sin® and let sin²0 = -(1- cos20). A True В False

A: To evaluate: ∫sin5θdθ Let I = ∫sin5θdθ ⇒I = ∫sin4θsinθdθ

Q: Question 12 S dy =2/y- 5inlVy+5|+c Vy +5 A True B) False

A:

Q: Given (x + 4)(x – 2) f(x) = x2 —2(х — 8) - f'(x) = x3 4(х — 12) f"(x): - x4 (a) Find the domain of…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others part as…

Q: each of the problems, solve the given differential equation. 1. y` = x2/y

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: dy = Solve 2xy r x2 + y? given that y = 0 at a = 1 %3D

A: To find particular solution of D.E.

Q: S sin²x cos²x dx 1 sin 4x + C 32 O A none of the choices 1 1 ;sin 4x + C 32 8*+3, sin 4x + C O B

A:

Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: Select as many answers as possible. * Find the absolute extrema of the function 2/3 f(x)=(x+1)* in…

A: f(x)=(x+1)(2/3)    ,    [-2,1] f'(x)=2/3(x+1)(-1/3) At critical points f'(x)=0 2/3(x+1)(-1/3) =0…

Q: Use two iterations of Newton's Method with initial guess xo = to approximate the solution of f(x) =…

A: We have to find the value of x2.

Q: Finding the Slope of a Graph In Exercises 23–26, find the slope of the graph of the function at the…

A:

Q: Evaluate: | sech[In cosx]tanx dx A -2 tan -1(e cosx) +C В -2 tan -1(cosx) +C 2 tan -(ecosx) + C (D 2…

A: