Find the volume of the solid obtained by rotating the region bounded by the curves: y = x²/9, x = 3y²; about x = -4. Volume:

Q: L{2t² cos(t)}

A:

Q: 51-66 Match the function (a) with its graph (labeled A-F below) and (b) with its contour map…

A: Given  Z=sin(xy) To find : correct matching graph

Q: Jasmine invests $1,306 in a savings account with a fixed annual interest rate of 7% compounded…

A: Solving the following problem number 26

Q: The monthly demand function for a product sold by a monopoly is p = 1,764-² dollars, and the average…

A: Total revenue = x.P(x). Total cost function =x.C(x) Where x is no of units produced .

Q: You are given the graph of f(x) shown below. f(x) AV Which of the following could be a graph of…

A:

Q: The position of an object (in metres) is given by the function s(t) = 4x² − 3x + 7. Use a table to…

A: given  s(t)=4x2-3x+7

Q: Let f(x,y)=√x² - y² Which of the following regions are in the domain of f D Ос D to B

A: Here we have given a function: f(x,y)=x2-y2 As we know that Domain of a function is the complete set…

Q: Find the derivative of f(x) are constants. ƒ'(x) = = bx + c kx + a Assume that a, b, c, and k

A:

Q: If g(x)= xf(x), where f(2)= 7 and f'(2) = -2, find an equation of the tangent line to the graph of g…

A:

Q: m. y = ln (sin x)

A:

Q: The quantity demanded of a certain product, q, is given in terms of p, the price, by q = 1000e-0.05p…

A: According to question,Given Function,q = 1000 e-0.05p

Q: Given is the graph for the second derivative of some function f(x) which has the domain of (-∞, ∞)…

A:

Q: b 1 1.00004 lim b→∞ X -dx = = lim b→∞ lim b→∞ -1.00004 +1 X - 1.00004 +1 - 25,000 0.00004 X b 1 b 1…

A:

Q: x)=cos x, then f"(x)=

A: Given query is to find indicated derivative.

Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: Use Definition 7.1.1. Definition 7.1.1 Laplace Transform (7₁ lo, t≥ 5 L{f(t)} = f(t) L{f(t)} = =…

A: The given data is: ft=7, 0≤t<50, t≥5  Find Lft

Q: k. y = 5*

A: Given query is to find the derivative.

Q: The average value of f(x, y) = (3x + 4y)³ on the region R = {(x, y) |0 ≤ x ≤ 2,0 ≤ y ≤ 2} is: 4000

A:

Q: Determine the volume of a cube in cm^(3) with the following side measurements.  a.  17cmc.  -2.4dmb.…

A: see below the answer and calculation

Q: For the polynomial, list each real zero and its multiplicity. Determine whether the graph crosses a…

A:

Q: The following functions are inverses of each other. f(x) = 5x-9 and g(x) = * +5 о True о False

A: Given query is ture false.

Q: ON 31. f(x, y, z)= x³yz² + 2yz 33 32 bai W

A:

Q: Select the best term or phrase. (a) f'(x) is positive, if f (x) is ---Select--- (b) If f (x) has a…

A: a.  f'(x) is positive, if f (x) is increasing.

Q: Evaluate the definite integral 4 3π 4 3 cot csc²0 de 8

A:

Q: Determine the quadratic function whose graph is given below. -10 20- (-2,10) 10- (0,-6) -10- (4,10)…

A:

Q: Paramount Electronics has an annual profit given by P = −100,000 + 5,000q − 0.25q2 dollars, where q…

A: The given data is: P=-100000+5000q-0.25q2q=30n+0.01n2  Use the chain rule to find dPdn at n=20

Q: y(3) +2y"-y' - 2y=0; y(0) = 1, y'(0) = 2, y''(0) = 0; -2x Y₁ = ex, y₂ = ex, y3 = e e particular…

A:

Q: Find the domain of the function. (Enter your answer using interval notation.) X f(x) 64 x²

A:

Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

A:

Q: Exercise 1: Image and preimage of sets Calculate the following expressions for the given sets and…

A:

Q: Find the derivative of the function. 9 +8√x h'(x) = h(x) 5

A:

Q: The weekly marginal cost of producing x toaster ovens is 31 +0.12x dollars per toaster oven. Find…

A: Given query is to find cost function.

Q: The marginal profit of a product is given by P'(x) = 11 -0.027e0.1x dollars per item, where x is the…

A:

Q: Complete the parametric equations of the line through the points (-8,0,8) and (-4,-7,-1) x(t) = −8+…

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

Q: The plane containing the point (2,-3,1) and parallel to the plane 4x + 8y - 4z = 3 has equation…

A:

Q: Find the intervals on which f is increasing and decreasing and the local maximum and minimum values…

A:

Q: 49. e² = xyz (ar and az/av

A:

Q: Find parametric equations for the curve with the given properties. The line with slope -2, passing…

A: Given query is to find parametric equation.

Q: The function S(t) gives the average annual sea level in meters in a particular city as a function of…

A:

Q: Part 2 Use your answer above (and more differentiation/integration) to now express the following…

A: Answer is in step 2.

Q: Given f(x, y) = -4x³ + 4zy² - 5y², find fz(x, y) = fy(z, y) =

A: Given query is to find indicated derivative.

Q: Find by implicit differentiation. dy dx dy dx || x2+ + 11xy + y2 = 4

A:

Q: X= 16x +31x²2 =2 (Simplify your answer, including any radicals and i as needed. Use integers or…

A:

Q: Use Descartes' Rule of Signs and the Rational Zeros Theorem to find all the real zeros of the…

A: Given  f(x)=x^3+3x^2-4x-12

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A:

Q: Use the following graph of f'(x) to find the following: A. On what intervals is f increasing and…

A:

Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

A: Given figure:-

Q: lim X →∞ -2 3x+7

A: The given limit is limx→∞-23x+7. We have to find the given limit.

Q: Determine whether the improper integral converges or diverges. (e100x + x³)dx

A:

Q: Find the domain and range of the function. (Enter your answers using interval notation.) f(x) = 6x²…

A: