Convert the integral to polar coordinates and evaluate it (use t for 8): With a = √4 ²0b=0c and d= ff, dy da = f f dr dt C= = Sa dy dx at dt

Q: The cost of manufacturing x electric woks in one day is given by C (x) = 2x³ – 16x² + 4x and the…

A:

Q: Find an equation of the plane. The plane that passes through the point (-1, 2, 1) and contains the…

A: Please see the below picture for detailed solution.

Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x³ + y³ = 6xy…

A: given equation is x3 + y3 = 6xy – 1   Rule: ddxxn=n·xn-1

Q: Consider the improper integral Justify your reasoning. (a) dr. Does it converge or diverge?

A:

Q: If n(A) = 2, n(B) = 5, and n(A U B) = 7, find n(A n B). Need Help? Read It

A:

Q: Find the compound amount and the amount of interest earned by the following deposit. $9,000 at…

A:

Q: 17. Find the local minimum value of A(x) = f(t²- t)dt in [1,2]

A:

Q: Two vertical poles of heights 60 ft and 80 ft stand on level ground, with their bases 100 ft apart.…

A: Given : their bases 100 ft apart BD = 100 ft let BC = x  CD = 100 - x

Q: Suppose g(x) is continuous and concave up everywhere. The equation of the tangent line to g(x) at x…

A:

Q: about the y-axis. 1 1 =²-mx, 1 ≤ x ≤ 2, Find the surface area obtained by rotating the curve y =

A: The equation of curve is given by y = 14x2-12lnx, 1≤x≤2 To determine: The area obtained by rotating…

Q: 2. Let a > 0 be a fixed real number. Determine whether dx xl+a [3 converges or diverges. If it…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find the average value of the function over the rectangle [1, 2] × [0, 4]. X f(x, y) = 4 √y x3

A:

Q: Note: You can get full credit for this problem by just entering the final answer (to the last…

A:

Q: Suppose y = sin(-5x² - 4x + 3). We can write y = sin(u), where u dy du dy d.x get dy da = dy du du…

A:

Q: Iff and g are functions that satisfy f'(2) = 3 and g'(2) = -1, find h'(2) for h(x) = 2f(x) - g(x) +…

A:

Q: Estimate the area under the graph of F(X)=X2 +6X+11 over the interval [0,8] using four approximating…

A: Estimate the area under the curve.

Q: Using Rolle's theorem for the following function, find all values c in the given interval where…

A: Given query is to apply rolle's theorem.

Q: Evaluate the given expression. Take ;] A ·|- 11 0-2 -2 2 4A + 0.5C and C= 1 [B] 1 -1

A: We have  A=0-2-2021C=1-111-1-1

Q: Verify that the two planes are parallel, and find the distance between the planes. (Round your…

A: We have to find shortest distance between them.

Q: Determine the volume of the region bounded by y=x^(2)-2x and y=x that is rotated about y=4

A:

Q: At a sand and gravel plant, sand is falling off a conveyor and onto a conical pile at a rate of 12…

A:

Q: Let R be the region in the first quadrant bounded by the graph of y = e, the z-axis, the y-axis, and…

A: Given :- Region R in the first quardrant bounded by the graph y=e-x,the x axis , the line x=b

Q: Concentration of a Drug in the Bloodstream The concentration (in milligrams per milliliter) of a…

A:

Q: Write out the form of the partial fraction decomposition of the function: - Sº A Determine the…

A:

Q: The region bounded by x=y and x = √y is rotated about the line y = -2. Which of the following would…

A:

Q: for the following question above help me solve d and e

A: Given graph of f'(x)

Q: Find the following limit. lim V

A:

Q: Solve the equation y' - y=f(t), y(0) = 0 0 1 Be sure to supply all the steps that leads to your…

A: The solution is shown below-

Q: A particle moves along a coordinate axis. Its position at time t (sec) is s(t) = f f(x) dx cm, 0…

A:

Q: The following table gives the percentage, P, of households with a television set that also have a…

A:

Q: Evaluate the double integral 10. Answer: 10ry dA, where D is the triangular region with vertices (0,…

A:

Q: woman deposits $6000 at the end of each year for 10 years in an account paying 8% interest…

A:

Q: Find the general solution of the following differential equation. Primes denote derivatives with…

A:

Q: Show that the lines L₁ : x = 3-t, y = 2t, z = 2+t and L₂: x = 1 + 4t, y = 3-8t, z = 5 - 4t are…

A: Solution is given below:

Q: Problem #1: Which of the following planes are parallel (or equal) to the plane x + 4y +32 = 2?…

A:

Q: Find the following limit. lim V

A:

Q: 1) Find the radius of convergence for f(x) =(-1)^4+1 ²n+1 n=0 4n+2

A:

Q: Find the position vector for a particle with acceleration, initial velocity, and initial position…

A: I have done solution step by step in detail ....go through the solution

Q: for the following question above help me solve b and f, please. thank you

A: The solution is shown below- As per bartleby guidelines only first part is allowed to solve. Kindly…

Q: find f'(x). Answer: f(x) - 5 sin x 1 + cos x

A: f(x)=5sinx1+cosxd dx(sinx)=cosxd dx(cosx)=-sinx d dx(ab)=b×d dx(a)-a×d dx(b)b2

Q: 7. Compute where x² + y² = 10. x y 0-4 x O-100 dx2 O 100 y³ ONone of these.

A:

Q: The unit cost, in dollars, to produce bins of cat food is $9 and the fixed cost is $14040. The…

A:

Q: Find the area under one arch of the cycloid. x = 3a(t - sin t), y = 5a(1- cost)

A: The solution is shown below-

Q: 1 - cos(x7) x² a. Find the Maclaurin series for f(x) after removing the removable discontinuity at x…

A:

Q: This problem illustrates the Second Derivative Test. Let f(x) = - arctan(x²) + 3 . (a) Find f'(x) =…

A:

Q: he area of the region shared by the cardioids r= 12(1 + cos 0) and r= 12(1- cos 0).

A: We have to find the area of the given cardioids.

Q: How does d/dx(xy^2) work?

A: We need to evaluate the following: ddxxy2 Product Rule: ddxfxgx = fxddxgx+gxddxfx

Q: Calculate the integral of f(x, y, z) = z(x² + y² + z²)−³¹2 over the part of the ball x² + y² + z² ≤…

A:

Q: Your firm is considering adding a product line. The accounting department has determined that the…

A:

Q: A warehouse selling cement has to decide how often and in what quantities to reorder. It is cheaper,…

A: The given data is: C=5aq+3bq