Given the following graphs, find the volume of the solid of revolution of the shaded region. Rotate about the x-axis.

Q: Express the integral as a limit of Riemann sums using right endpoints. Do not evaluate the [° √6 +…

A:

Q: tion true, or explain why it does not exist. (1 + c)" =2

A: NOTE: Refresh your page if you can't see any equations. .

Q: ze pu хе and Ze ле of ye"- 5 sin 32 32

A: Given query is to find indicated derivative.

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dy dx =) Write the equation for the…

A: C) Given: x2y+y2x=6 we know that a tangent is horizontal at a point if slope of the tangent at that…

Q: Find the average value of f(x) = 2 sin²(x) over [0, 2π].

A:

Q: Use the formula for the area of a circle to evaluate Answer: 6 Sv 9- (x - 3)2 dx. Round your answer…

A: we need to evaluate the integral by using the area of the circle.

Q: 22. If log(x) = -4, find the value of log(ar³).

A:

Q: 3. Find the area of the shaded region. y=6-x² -2 4 2 -2 -4+ H 2 y = x

A: Here is the solution:

Q: 6. Use the method of Lagrange multipliers to find the points on the Sphere are closest to x² + y² +…

A: Given equation of sphere x2+y2+z2=36 let  any arbitrary point on sphere is  (x,y,z) now distance…

Q: Find the length of the curve. Give your answer correct to two decimal places. x = et + et y = 5 - 2t…

A: Given: x=et+e-t ; y=5-2t ; 0≤t≤4.We need to find he length of the curve.

Q: Find 3xe Select one: O a. O b. da. Hint: use substitution. (e-1) (1-√e) (1-e¹) ○ c. O d. (1-e)

A: ∫xndx=xn+1n+1+clet x2=t2xdx=dtwhen x=0, t=0when x=1,t=1

Q: Question Determine a definite integral that represents the area of the region enclosed by one petal…

A:

Q: The temperature of a city t hours after 8am is modeled by the Function T(H) = 70 +19 sin(πtt/12)…

A: The tempearture of a city, t hours after 8 am is modeled by the function,Tt=70+19 sinπt12.To…

Q: Question Find the area of the region enclosed by r = 5 cos (0). Enter an exact answer. Sorry, that's…

A: Let's find area enclosed by r=5 cos(theta).

Q: Show the solution to obtain the factored form of a linear differential equation with real, constant…

A: Given equation, y=xe-xsin2x+3e-xcos2x

Q: A company's marginal cost function is C'(x) = 423 - 2x + 0.03x²2 where x is the number of units,…

A:

Q: Find (g.f)(x) if f(x) = 4x2 + 2x + 8, and g(x) = 2x - 6 A 8x² + 4x + 22 B) 4x² + 4x + 10 C) 4x² + 2x…

A: Solve

Q: Question 25 Determine the correct end behavior of f(x) = -4x³ - 2x²+2x+3 A B C falls to the left and…

A:

Q: Evaluate the integral. 1₁ w² w² In(w) dw

A:

Q: Find the minimum and maximum values of the function f(x, y) = x² + y² subject to the given…

A: The function fx, y=x2+y2 subject to the constraint x4+y4=2. We have to find the maximum and minimum…

Q: Find the indicated partial derivatives of: дz ?х дz ду || || z = ln(x2 + y3)

A:

Q: √x√12x² + 4 dx

A: We can solve this as follows:

Q: Question 4 > Evaluate the definite integral by interpreting it in terms of areas. 8 L (27. (2x -…

A:

Q: Find the area of the shaded region y = x(x-4)² y = x

A: The region is bounded by the curves y=xx-42 and y=x. We have to find the area of the shaded region.

Q: Find the indicated partial derivatives of: θω Ər dw მs dw Ət || || || w = √2r² +68² + 6t².

A:

Q: Let F(t) = (3t² + 5, 2e-5t, 3 sin(3t)) Find the unit tangent vector T (t) at the point t = 0. Round…

A:

Q: 6 6 If [ f(x) dx = 33 and fºs g(x) dx = 16, 6 ¹° [3F find [3f(x) + 4g(x)] dx.

A:

Q: (ui+°x ܙ Xx (— x ܢ ܐ ܢ ܂

A: NOTE: Refresh your page if you can't see any equations. .

Q: Find the equation for the parabola that has its focus at (−35/4,−3) and has directrix x=-29/4.

A:

Q: 3. A farmer has a plot of land bordering an extremely straight river bank. The farmer wants to…

A: NOTE: Refresh your page if you can't see any equations. . x=width of the rectangular plot y=length…

Q: If csc(x)=8, for 90∘<x<180, then sin(x/2)=___ cos(x/2)=___ tan(x/2)=_

A: SOLUTION-

Q: Find the amplitude, the period in degrees, and the minimum and maximum values. Then sketch the graph…

A: Solution: 1) y=3cos θ4 The equation of the Cosine function is y = A cos(Bx + C) Amplitude, A=3

Q: Find fo Select one: O a. O b. 0 с. √3x+1 O d. મકાન બૉિ da. Hint: use substitution.

A:

Q: he area under the curve y= 3 X over the interval [1, 3]

A: Given query is to find the area under the curve.

Q: gradient of the line joining the points (3, 5) and (2, 8) is

A: Given query is to find the gradient of the line.

Q: Find f(x) by solving the initial value problem. ƒ'(x) = 1 +e³ +—; ƒ(1) = 7+e

A:

Q: Consider the curve x²y + y²x = 6 A) Find in terms of x and y dx

A:

Q: Consider the function f(x) = 5x² - 6x +9, 0≤x≤9. The absolute maximum of f(x) (on the given…

A: ginen  f(x)=5x2-6x+9for critical points put f'(x)=0dxndx=nxn-1

Q: The general solution of the D.E. (x³ + 3xy²)dx + (3x²y + y³)dy = 0 is a. (x² + 6x²y² + y4) = c O (a)…

A:

Q: Evaluate the integral. [²8+ ¹8+u² u³ 3 - + log (2) du

A: ∫248+u2u3du

Q: find all solutions y(x) of the boundary value problem y"+9y=0, y(0) =3, y'(pi/3)=-3

A:

Q: Find the area of region using integral

A:

Q: Suppose a moving object in space has its velocity given by (t) = . Find fr(t)dt (don't include the…

A:

Q: Your company determines that the marginal cost, C', of producing the xth unit is given by the…

A: NOTE: Refresh your page if you can't see any equations. . the marginal cost function is

Q: Find the net signed area between the curve of the function f(x) = x³ and the x-axis over the…

A:

Q: Find each of the following indefinite/ definite integrals (a) [ 4v³ dv

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 4. Find the average value of f(x)=√√x over [-8,1].

A: Given query is to find the average value of function.

Q: Given the price-demand and price-supply equations below, determine the equilibrium price.…

A:

Q: Solve the quadratic equation below: 13p + 68 p² a. b. C. - 4 and - 17 - 4 and 17 4 and - 17 O

A:

Q: 13. Nutrition-Animal Mr. Smith decides to feed his pet Dober- man pinscher a combination of two dog…

A: We need to find minimum rquirments.