Find the volume of the solid generated by revolving the specified region about the given line. Rabout x =0 0.5 R 0.5

Q: Given the points A(-1, 2, 0), B(1, 0, 3) and C(1, 0, 2), find AB • AC x BC.

A:

Q: 8. (LO 8) A 10-foot ladder is leaning against a high wall. The base of the ladder starts to slide…

A:

Q: nt) A spherical balloon is inflated so that its volume is increasing at the rate of 3.3 ft/min. How…

A:

Q: 2. A company's total sales (in millions of dollars) t months from now are given by S(t) = 2Vt + 6…

A: given comapny sales s(t)=2t+6

Q: Find a rational function that satisfies the given conditions. Which rational function satisfies the…

A: Given query is to find indicated function.

Q: 6. The radius of a right circular cylinder is increasing at the rate of 3in/sec, while the height is…

A:

Q: Calculate the double integral of f(x, y) = x over the region D in the figure. Assume that a = 5, b…

A: We have to find value of double integration.

Q: solve the exponential equation. If the solution is not an integer, round to 4 decimal places.…

A:

Q: Find the angle e between the vectors in radians and in degrees. u = cos()i + sin()i, v = cos( 31 )i…

A: Given,  u=cosπ3i+sinπ3j v=cos3π4i+sin3π4j Now, we know that  cosπ3=12 and sinπ3=32cos3π4=-12 and…

Q: The marginal cost for a company to produce q items is given by MC(q) = 0.003q -0.9q + 600. The…

A:

Q: 4. Use Cramer's rulc to solve the lincar systemn. r+ 3y 2 5.r +7y 3

A:

Q: Find the total area of the region between the x-axis and the graph of y = - x´ - 3x, - 4 <x54.

A: Given query is to find the attached area of the region.

Q: Solve D.E using bernouliis equation dy – 2x · = x(x+1)y' dx

A:

Q: Consider the function f(x) = 2x + 18x? – 42x + 9, - 7< x < 2. This function has an absolute minimum…

A:

Q: A supermarket manager estimates that a total of 400 cases of soup will be sold at a steady rate…

A:

Q: 2. When buying a new car, one consideration is how fast the car loses value, known as the…

A:

Q: Example 4 Identify and sketch the curve 153x-192xy +97y2 - 30x - 40y – 200 = 0

A: answer is in step 2

Q: r = 2sin30 * %3D circle rose inner loop cardioid dimpled convex spiral lemniscate

A: Given problem:- r=2 sin(3θ) To find :-  shape of graph of given polar equation

Q: A company finds that the number of new products it develops per of dollars), according to the…

A: Please refer to the image below

Q: 1 dx – 1 /3

A: The given integral,       ∫3∞1x-1dx

Q: Find the derivative. y = e2= . 8x3 24x?e2 + 16x4e2« – 1 O 2e2a . 24x? 24x e2 + 16x³e2* O 2xe2a…

A: We will find the derivative using Chain rule.

Q: 24) Assume that f is a continuous and odd function. Assume that , f(t)dt = 4 and K f (t)dt = 1.…

A: Note:- Sorry for inconvenience as per our guidelines we should solve only 1 question so please post…

Q: Find the limits, using l’Hopital’s Rule where appropriate. If there is a more elementary method, you…

A:

Q: Complete the description of the piecewise function graphed below. Use interval notation to indicate…

A: We need to complete the description of the graph.

Q: 2 Find x so that log10 x = log, 10

A:

Q: A car comes to a stop six seconds after the driver applies the brakes. VWhile the brakes are on, the…

A:

Q: A rectangular prism has a height of 11.5 inches, a length of 9.6 inches, and a width of 2.10 inches.…

A:

Q: The design department of a shipping company is constructing a box in the form of a rectangular…

A:

Q: A car starts moving at time t =0 and goes faster and faster. Its velocity is shown in the following…

A:

Q: Evaluate the following limit: 4x2 – 4y? tan(4x4 + 4y4) 8x4 + 8y* - lim (2,y)→(0,0) 1 2 4 The limit…

A:

Q: In practical applications the Richter magnitude depends on local geological factors and the aver…

A: The given reasonable model is R(A)=logA2.5+4.25 .............................. (1)

Q: he integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A:

Q: Determine the domain of the function. S(x) = In (36 – x²) (Give your answer as an interval in the…

A:

Q: If m is a positive integer, does 6 divide (2m)(m+2)(3m+3)? True False

A: Here, the given number is: (2m)(m+2)(3m+3)=2(m(m+2))3(m+1)=6m(m+1)(m+2) because multiplication is…

Q: Find a particular solution y, of the following equation using the Method of Undetermined…

A:

Q: x + 42 series of the function: (x - 8)(x +2)

A:

Q: lim (5x + х+ 3,

A:

Q: x + 1 24. x*(x - 2)

A: Question no. 24,Given,            x+1x2x-2To find : Find the partial fraction decomposition of given…

Q: Consider the function Z = 2x²(1 – e-y) where x and y are given to be 1 and In 1 respectively. Find…

A:

Q: What amount invested today would yield $57,000.00 in 11 years if it were invested at 5.90%…

A:

Q: Use the Fundamental Theorem of Calculus to find the derivative of y = Cost -dt t12 dy dz

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A:

Q: A commercial cherry grower estimates from past records that if 23 trees are planted per acre, then…

A:

Q: 4. Use the definition of the Riemann integral to evaluate f(x) dx where (a) f(x) = x². (b) f(x)= 3x…

A:

Q: Use the quotient rule to find the derivative of 8e" + 4 - 9x7 + 9x° Use e^x for e". You do not need…

A: We will find the derivative.

Q: —х-1 6. (LO 5) Let f (x) Find the absolute maximum and minimum values of f(x) x2+3 on the interval…

A: Solve the following

Q: The velocity of a particle moving in a straight line is given by f (t) = 12 – 4t centimeters per…

A:

Q: If+y = 25 and dz/dt = 5 , find dy/dt when y is positive and %3D %3D (a) z = 0 dy/dt = 0 (b) z=1…

A:

Q: I In Problems 27-34, find the interval of convergence. x" 27. 2 Σ (х - 3)" 28. 3n n=0 n=2

A:

Q: (a) What does the equation x² + y´ = 1 represent as a curve in R? (b) What does it represent as a…

A: