nd the missing value. y is directly proportional to x and inversely proportional to the square of z. y = 20 en x = 50 and z = 5. Find y when x = 3 and z = 6. O y = 1¹2 18 о y = 56 Oy=18 6 O y ==/ о 5

Q: Given the the function y₁ = 4 is a particular solution of the differential equation x2y" - 7xy +…

A:

Q: Maximizing Profits An apartment complex has 100 two-bedroom units. The monthly profit (in dollars)…

A:

Q: Evaluate the function at the indicated values. (If an answer is undefined answer UNDEFINED.) 3 - x 3…

A:

Q: Given the function f(x) = −2x² Find the difference quotient f(x+h)-f(x) h Find f'(x) by determining…

A: Please see the below picture for detailed solution.

Q: The total cost (in hundreds of dollars) to produce x units of perfume is C(x)= 4x-1 8x + 5 (a) Find…

A: Average cost is ratio of total cost and number of units and marginal average cost is derivative of…

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A:

Q: Find the line integral of F= √√zi-2xj + √yk, from (0,0,0) to (1,1,1) over each of the following…

A:

Q: Suppose f(x) = xe-³x, 0≤x≤ 2. Use the Closed Interval Method to find points at which the absolute…

A:

Q: (b) x2n - 2y5n x5n + 4y=n 1/3

A:

Q: Calculate all four second-order partial derivatives of f(x, y) fax (x, y) = -(4/y^2)sin(2x/y) fry…

A:

Q: 2 -P B + 200, where p is the price in dollars. If 104 Suppose the demand for a certain brand of a…

A:

Q: Find the solution to the IVP y" + y = f(x), with y(0) = 1, y'(0) = −1, where 0 x 3π f(x) = 0 using…

A:

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 12.50, where frepresents the price…

A:

Q: II. Identify the equation of the slope of the tangent line, the slope, and the equation of the…

A:

Q: Evaluate the integral. 5x 2x dx fate con in die 049 O ㅇ [sin 2x + cos2x) + C 12 sin 2x-5 cos 2x) + C…

A: We need to solve the following integral I = ∫e5xcos2xdx

Q: Determine convergence or divergence by any method. (-1)"n √n² +6 Σ n=0 The series diverges, since…

A:

Q: Graph the function f(x) are -2, 0, and 1. -3 -2 -1 = 10+ 9 8 7 6 5 4 3 2 + --+ -2 -3 -2x² and draw…

A: Given:    fx=-2x2 when x=-2     f-2=-2-22               =-8 when x=0     f0=-20=0 when x=1…

Q: Find the location of the absolute extrema of f(x) Absolute maximum at x= Absolute minimum at x = -…

A:

Q: A search using the web search engine BingTM for "asteroid" yielded 25.1 million web sites containing…

A:

Q: Find the length of the arc formed by 2 = 9y³ from point A to point B, where A = (0,0) and B = -…

A: Please see the below picture for detailed solution.

Q: Consider the function f(x) = 4x² - 4x4. (a) Find all critical numbers c of f. C = (b) f is concave…

A:

Q: Find the tangent plane to the equation z = z = > Next Question 5e² -2y at the point (4,8, 5)

A:

Q: 1 (2 + -4 (x - 2)² + 2x + 1 x² +9 dx

A:

Q: 1+csc(x³) 1-cot (⁹)

A:

Q: Find all the second-order partial derivatives of the following function. h(x,y) = 2xey + 6y + 8 22n…

A:

Q: Find the mass of the lamina that occupies the region D = {(x, y): 0 ≤ x ≤ 1,0 ≤ y ≤ 1} with the…

A:

Q: Indicate whether each statement below is true or false. (a) If the graph of an equation passes…

A:

Q: The mass of the disk is given by m = f 2xр (x) dx, where p(x) is an integrable function representing…

A:

Q: Consider the following. u = (5,5), v = (4, 6) (a) Find the projection of u onto v. (b) Find the…

A:

Q: At what points is the function y= cos X 6x + 12 continuous? Describe the set of x-values where the…

A:

Q: 9. Determine the equation in the form 1 f(x) = kx for the function with a vertical C asymptote at x…

A: To determine the equation in the form fx=1kx-c  for the function with a vertical asymptote at x=-1…

Q: J sin’rVcos ad

A: Here is the solution:

Q: Match the graphs below with the following descriptions by indicating the graph corresponding to each…

A: Solution: 1. The temperature of a metal ingot placed in the furnace and then removed.

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

A: We have to find the vector in given question.

Q: The regular price of a pair of jeans is x dollars. Let f(x) = x - 14.60, where frepresents the price…

A:

Q: Find the terminal point of if the initial point is (-13, 10). The terminal point is (i p v = 3i - 6j

A:

Q: Biologists have proposed a cubic polynomial to model the length L of rock bass at age A: L =…

A:

Q: Maximizing Profits A manufacturer of tennis rackets finds that the total cost C(x) (in dollars) of…

A: We first find the profit function.  P(x)=R(x)-C(x)P(x)=px-C(x)P(x)=(10 − 0.0003x)x-700 + 8x +…

Q: tion about the origin. hat is the 13. Let T: R2 R2 be the linear transformation such that T(e₁) and…

A: Please see the below picture for detailed solution.

Q: Find the component form of the vector v in 2-space that has the length - ||v||=10 and makes the…

A: To Find : Component form of the vector v in 2-Space that has the length ||v||=18 and makes the angle…

Q: Find the derivative of: 8x5 + 5x8

A:

Q: Determine whether the integral is divergent or convergent. If it is convergent, evaluate it. If not,…

A: ∫6∞ xe-x3dx

Q: If the vector field F = (f.g) is source-free (zero divergence), then a stream function y exists such…

A:

Q: The distance that an object falls varies directly as the square of the time it has been falling. An…

A: Given query is to find the distance fallen in 8 second.

Q: Macmillan Learning Find the interval of convergence of (x-4)" In (3n) n=2 (Use symbolic notation and…

A:

Q: Determine h′(x) if h(x)=(arccos(x))5.

A: Please see the below picture for detailed solution.

Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (3z-2x³-2y²-2) b.…

A:

Q: The following are configurations of the revolved differential strip and the axis of revolution in…

A:

Q: U.S. Cell Phone Subscribers The number of cell phone subscribers in the United States between the…

A: Given: N(t) = 385.4741+2.521e-0.214t for (0 ≤ t ≤ 10) , where N(t) is measured in millions and t is…

Q: 1. Practice similar Help me with this Determine whether the integral is divergent or convergent. If…

A: We have to consider the given improper integral is divergent or convergent according to the given…