Find the surface area generated by rotating x=4*sqrt(t), y= ((t^3)/3)+(1/2t^2), 1<=t<=3 around the x-axis

Q: Determine whether the lines intersect, and if so, find the point of intersection. (If an answer does...

A:

Q: A tank has 150 liters of water in it at time t = 0 hours. Water begins to be pumped into the tank at...

A:

Q: 3. The cost C of manufacturing transformers in a factory varies with the output N per day according ...

A:

Q: Write the given series in sigma form and find the sum 3 - (3/2) + (3/4) - (3/8) . . . .

A:

Q: Use the alternative form of the dot product to find u · V. ||u|| = 35, ||v|| = 40, and the angle bet...

A:

Q: Determine whether u and v are orthogonal, parallel, or neither. u = j+ 2k v = i - 6j – k O parallel ...

A:

Q: tan (x), cos- (x), or sin (x) input atan(x), acos(x) or asin (x). DO NOT convert answers to decimal ...

A:

Q: Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer alge...

A: Given query is to find the area of the parallelogram.

Q: Use induction to prove: for any integer n 2 0, 2. 3 = 3"+1 - 1. %3D j=0 Base case 2.3 = j= n = , 3n+...

A: for any integer n≥0,∑j=0n2. 3j=3n+1-1

Q: A fence 20 feet tall runs parallel to a tall building at a distance of 4 ft from the building as sho...

A:

Q: (sin-l x)² dx V1-x²

A:

Q: d = 12t(3t2 – 1)3, s(1) = 3

A:

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 eX + ...

A:

Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

A:

Q: cos s 40 d0

A: Let's find. 

Q: Find an equation of the plane with the given characteristics. The plane passes through the points (4...

A:

Q: Vrite an integral that is equivalent to æf (x²) dx. a = b = f(u) du submit Answer

A: Given query is to write equivalent integral.

Q: Question 1 If t(x) g(x) = e3x find and simplify g'(x) t'(x) - 31(x) g'(x) = e3x t'(x) + 3t(x) g'(x) ...

A:

Q: Let f be a function such that xf 2) dx = 12. Write an -6 equation that can be inferred involving the...

A:

Q: u = 3i + 8j + k v = i+j+ 6k w = i+ 8j + 8k V Find the volume. V = i

A:

Q: わn?

A:

Q: 8. Two ships sail from A at the same time. One sails south at 15 miles per hour; the other sails eas...

A:

Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j...

A:

Q: integrate the following ∫(y-2 + 1/2y - 1)2 dy

A: We will us the formula a+b2=a2+b2+2ab for expansion

Q: differentiate y = (x2 -4) 1/2  / (x)2 + (1/2)[Arcsec(x/2)].

A:

Q: Let P(x) 5x2 + 7. Estimate the slope of the tangent line of this function at the point x = 6. (Give ...

A:

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, –1). v= (0, 24) a = %3D

A:

Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

A:

Q: 1. х2у %3D 1+сх

A: topic - differential equation

Q: Find the angle 0 between the vectors in radians and in degrees. u = 31 + 2j + k v = 21 – 3j (a) radi...

A: We have to find angle between given vectors.

Q: 2. Find the area of the region bounded by the graph of y = x2 –- 3x – 4 and the x-axis. %3D

A: The region is bounded by y=x2-3x-4 and the x-axis.

Q: 1. Integrating factors found by inspection: (xy' +xy kdx+ (x²y² – 2dy = 0

A:

Q: Use logarithmic differentiation to find the derivative of the following functions (y ′ ). Hint: Take...

A:

Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 44 88 20 20- (b...

A:

Q: Find the indicated partial derivative: dy \ y + 4x ду

A:

Q: Find f'(x). f(x) = In x +3 eX – 4x² %3D

A: f(x)=lnx+3ex-4x2Differentiate with respect to xf'(x)=ddx(lnx+3ex-4x2)=1x+3ex-(4×2)x=1x+3ex-8x

Q: For the given cost function C(r) = 72900 + 600x + x² find: a) The cost at the production level 1000 ...

A: The given cost function is C(x)=72900+600x+x2               Note: The expert is supposed to answer t...

Q: 3. Given w = x² + y² + z²; z = te"+s, use the CHAIN RULE to find x = ret+s; y = se**; and aw а. ar a...

A:

Q: The cost C of manufacturing transformers in a factory varies with the output N per day according to ...

A: maxima minima question, if it is helpful, like and thumbs up.

Q: A particle travels along the x-axis such that its velocity is given by v(t) = (t25 + 4t) cos (3t). W...

A: The velocity of the particle is given by: v(t)=(t2.5+4t)cos(3t)

Q: Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all tha...

A:

Q: 1- x evaluate the improper integral dx. Does it converge V1 – x2 diverge? Justify your claim.

A:     ∫-111-x1-x2dx=∫-1111-x2-x1-x2dx=∫-1111-x2dx-∫-11x1-x2dx=arcsinx-11-0=π

Q: 1. 1. Let f(x, y, z) = %3D Vx2+y2+z² a. Solve for fx, fy and fz. b. Find frx + fyy + fzz-

A: Here, the given function is: f(x,y,z)=1x2+y2+z2

Q: | by inspection: (3y° + xy kdx + (x°y² – 2}kty = 0 1. Integrating factors found

A:

Q: Consider the following function and closed interval. f(x) = x - 3x + 5, [-2, 2] Is f continuous on t...

A:

Q: (d) DNE (e) 2. Calculate each of the following i: (a)/ sec2 (x) dx (b) 3 (d) In(x) dr (e) 0. 1. dx 4...

A:

Q: If f(x) = x' = 4x² + 10 determine the contavity when x=1. Hint: First find the second derivative O[®...

A:

Q: Graph the functions in Exercises. of the function on the interval and say where they occur. . Then f...

A: 73. hx = x+2-x-3-∞&lt;x&lt;∞ “Since you have asked multiple question, we will solve the first questi...

Q: _5. 2/xy = 3 ху

A:

Q: The functions f and g are continuous and differentiable with g(x) = f'(x). Selected values of the fu...

A: Given query is to find the average value of the function g(x) over the indicated interval.