dz Suppose z is a function of r and y, and csc Vr2 + yz = zesin z. Solve for dz and dy

Q: A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a…

A: First find critical point then check where it is maximum and put value of critical point in…

Q: If a production line produces 50 mouse traps every 30 minutes over the course of a 10 hour work day…

A:

Q: d²y - y = у 3 10sin?x %3| dx2

A:

Q: 23 Given the ordered pair P, determine the requested sin, cos, or tan of angle . P(5,5) tan0 =…

A:

Q: csc² 20 cot 20 de

A:

Q: Question 2 [ a) [ : Explain why the following series (-1)" Σ 1 + n5/2 n=1 is Alternating. b) h. 1:…

A:

Q: Question 2 [ a) [ :Explain why the following series (-1)" 1 + n5/2 n= is Alternating. b) !n. J: Use…

A:

Q: 2 Find the definite integral fo5 tan(x)dx using strips of width for the trapezium rule correct to…

A:

Q: 8 In what quadrant does the angle lie? 7pi/3 IV II I III

A:

Q: Se*(4 + e*) dx Evaluate the integral of A (4 + e*)² + c B. (4 + e*)? +c (4 + e*)² + c (4 + e*)* + d…

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

Q: Evaluate the following integrals. Use only the variables "u" (and "v" if applicable) in your…

A: Question number 1 has been solved as per the prescribed format.

Q: Find the vertical asymptote(s) of the graph of the function. -2 3. (0) -+3)

A: Find vertical asymptotes

Q: Evaluate, with an exact value, the definite integral º -1/1+a dx.

A:

Q: Q2: A- The differential equation y"+2y'+y 0 has a characteristic equation with double roots, one of…

A:

Q: graph below, whet is a pont ad which it would O Giue the function in the reas ona ble estimete…

A: The inverse function is reflation to original function at y=x

Q: 2. cos(ry?) = cot(3") + 3e"

A:

Q: The differential equation (cos(x) sin(x) - xy²) dx + (y - x²y) dy = 0 can be solved by: B. exact…

A: Explained below

Q: dy - 3y = 0 dx 16. Solve the first order linear differential equation: А. y = e* + C В. у3 Сезх C. y…

A:

Q: (a) Find the general solution of the differential equation dx = x – x2 dt (b) Solve the following…

A:

Q: Given the vectors v and u, answer a. through d. below. v= 6i + 2j- 3k u = 3i + 4j a. Find the dot…

A: We can find the dot product as below.

Q: Find the area under the curve y 3x3 over the interval 0, 2 > Next Question

A: Solve the following

Q: Calculus Question

A:

Q: Express the vector 2u + 5w in the form v = v,i+v2j+ V3k if u = (4, - 5, 2) and w= (-3, 2, - 4). 2u +…

A:

Q: Q2: A- Find the complete solution of the differential equation y"+2y'+4y cosx subjectcd to the…

A:

Q: a. For the given value of n, use sigma notation to write the midpoint Riemann sums. f(x) = cos 2x…

A:

Q: The total cost C (in dollars) of purchasing and maintaining a piece of equipment for x years is…

A: topic- definite integral

Q: In (x + x²) dx

A: Given problem:- ∫ ln(x+x2) dx

Q: 2. Express the shaded area of the region shown below by double integrals of order of integration (1)…

A: The shaded region's area is: The difference between the area of the complete polygon and the area of…

Q: Find the sum of the first 10 terms of the following series, to the nearest integer.  125,50,20,...

A:

Q: [cos 3x cos 4x dx

A:

Q: 3. V4- (x – 3)²dx.

A:

Q: (b) Solve the following first-order ODE xy'y=2x* +2y*

A: Given that ODE                 xy3y' = 2x4 + 2y4 We can write this equation as   y' =2x4+2y4xy3…

Q: 1. J (5x* - – 4x + 7) dx 8x³ + 6x2

A:

Q: e or sin 1 2 and tan 2 cos .2

A:

Q: S1 | 16 sin?x cos?x dx х cos

A: ∫ 16sin2xcos2xdx

Q: Find F as a function of x and evaluate it at x = 2, x = 5 and x = 8. F(x) = [ (13 + 6t - 5) dt F(x)…

A: given a definite integral

Q: Determine dyðx Calculate the instantaneous rate of change of g at the point (4,1,2) in the direction…

A:

Q: - Solve the differential equation y-2y'+y e" In x

A:

Q: J cos 3x cos 4x dx :

A:

Q: (4) Consider a product whose unit cost is $3/item and whose demand function is given by 50000 D(p) =…

A: Profit function: Subtracting the cost function from the revenue function yields the profit function.…

Q: long will it take an investment to double in value if the interest rate is 4% compounded…

A: Given query is to find the timme in which investment gets double.

Q: A. Evaluate the following integrals. 1. S(Vcosx + sin x)*dx 2. S cos³ 3x dx 3. S tans 2x dx

A:

Q: A freshly brewed cup of coffee has temperature 95°C in a 20°C room. When its temperature is 63°C, it…

A:

Q: Obtain the general solution unless otherwise instructed d²y 1. dx2 - y = 10sin²x

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: dy Differentiate parametrically to find dx in terms of t: 1 y = 2t2 + 4 X = |

A: x = 1/(t-1) y = 2t2 + 4 We have to find dy/dx

Q: Evaluate the following: 1. f (5a - 82 + 6z² - 4x + 7) da

A:

Q: (b) Find the values of a and b so that the function f(x) = x² + ax + b has a local maximum at the…

A:

Q: 12. In a weighted voting system with four players the winning coalitions are: {P1, P2 }, {P1, P2,…

A: answer is in next step

Q: Find the area of the following surface using the given explicit description of the surface. The cone…

A:

Q: The radius of a circular oil slick expands at a rate of 7 m/min. (a) How fast is the area of the oil…

A: Given problem:- The radius of a circular oil slick expands at a rate of 7 m/min.   (a) How fast is…