This question is about the function f(8) = (0 – 3) cos(@). (a) Explain why the graph of f lies on or above the 0-axis for all values of 0 in the interval [37/2,5/2]. (b) Write down an expression, involving a definite integral, that gives the area between the graph of f and the 0-axis, from 0 = 37/2 to 0 = 5x/2. (c) Use integration by parts to find the area described in part (b), giving both the exact answer and an approximation to three decimal places.

Q: B. Let G be a group of order 60. Is there exist a subgroup of G of order 24? Explain your answer

A: Given :G be a group of oder 60

Q: Find the area between the curves. 2 y =x - 10. y = 8 - 3x The area between the curves is (Type an…

A:

Q: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

A: At low altitudes, the altitude of a skydiver and time in the air are linearly related. A skydiver…

Q: -1 x-x2 dx -8 2도 1423 1521 22 20 Option 1 Option 2 1425 1523 22 20 OOption 3 Option 4 None of the…

A: Given problem:-

Q: Evaluate [², dx V4-x2 2.

A:

Q: Suppose that f(z, y) – e ¯4r² - 4y² - z + 2y Then the maximum is

A: The given function is: f(x,y)=e-4x2-4y2-x+2y Here,…

Q: Find the plane determined by the intersecting lines.

A:

Q: An example of cissoid of Diocles is r = sin 0 tan 0 whose graph is below. Show this curve has the…

A:

Q: 3. y? = -x ,x² + 3y + 4x + 6 = 0

A:

Q: -9dx xVx2-9

A:

Q: 9. (2xy – sec?x)dx + (x² + 2y)dy = 0 10. (x + 3x³ sin y)dx + (x* cos y)dy = 0

A:

Q: Find the slope of the tangent line to the curve — 4г* + 4гу + 4у — 92 at the point ( – 1, 3).

A:

Q: Fill in the blanks: The derivative of a product of two functions is the first function times the of…

A:

Q: Suppose that f(x, y) = x' + y – 2xy Then the minimum is

A: Solution is given below:

Q: It is estimated that x months from now, the population of a certain town will be changing at a rate…

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: Find (6x+5) dx. (6x+ 5) dx%3D

A: Note that: ∫xndx=xn+1n+1+C

Q: Evaluate the integral: - *Input answer as decimal round-off to 2 decimal places.

A:

Q: [[(r + 2y) dA; R= {(r, y) : 0 s r s 3, 1 s ys 4}

A:

Q: 3 2. Find the area bounded by the two curves y = x°- 6x²+ 8x and y = x- 4x.

A:

Q: 3- Jッ 2X e dy + 2 (y ē -x) dx =0. dy よx 4- Sinx + cosx y = tan x

A:

Q: Evaluate the integral: So (re ) dt Express your answer in decimal. Round off to 2 decimal places.

A:

Q: be the solid enclosed by the paraboloid z = -x² – y² and the cone 2? = x² +y?,z > 0.

A:

Q: 2. Determine if the following integral converges or diverges. If the integral converges, find its…

A: We need to check whether the given integral converged or diverges.

Q: (c) SUPPLY RATE When the price of a certain commodity is p dollars per unit, the manufacturer is…

A:

Q: 37. A 10-m ladder rests against the wall of a house. The foor of the ladder on the ground is 1.3 m…

A:

Q: dx sinx+cosx

A: Follow the procedure given below.

Q: Use implicit differentiation to find the slope of the tangent line to the curve x3 + 9 2y - 10 at…

A: Topic:- application of derivatives

Q: Find

A:

Q: 3 dx 2 х2+1

A: Given problem:-

Q: QI: A) Solve the following initial-value problem: x e* dx + (y- 1)dy = 0; y(0) = 0 %3D B) Solve the…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: Find the area bounded 1. 2x2 + 4x + y = 0 , y = 2x 2. y = x³,y = 4x²

A:

Q: Find the area of the region enclosed by the two functions y = 7x² and y = a² + 6. Area =

A:

Q: Q3: A right circular cone has the radius of the base and the height which at a given instant (to)…

A:

Q: Solve 12 sin (t) + 2 cos(t)- 8 = 0 for all solutions 0 <t < 277 t = Give your answers accurate to 2…

A: The given equation,      12sin2t+2cost-8=0

Q: Find the area of the region bounded by the graphs of the given equations. y = 20x, y = x ... The…

A:

Q: 1/2 dx 1-х4

A: Let 1-x4 = t

Q: Let B be the sphere x? + y + z? = 4. The volume of the portion of B contained in the first octant is…

A:

Q: Use the chart below to find the average rate of change of the function f(x) over the interval given.…

A: Our Aim is to find the average rate of change of the function f(x) over the interval given.

Q: 1) Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: Question is incomplete

Q: x’y? If z , show that x=+ y- 3z x+ y ôx ây a²z ô²z = 0 if z= Tan 2.xy x² – y? Show that âx² ' ây²

A: A detailed solution is given below.

Q: in terms of x and y for the points (x, y) A5. (a) Use implicit differentiation to find that lie on…

A:

Q: Find an equation ( in point - nomal form) of the plane containing the point (1.-3, 5) and the line…

A:

Q: show that g(x) = (1/2)x has a unique fixed on [0,1]

A:

Q: y-1 3. Solve the initial value problem of=4 y(-1) = 0 dx

A: dy/dx = (y-1)/(x+3) dy/(y-1) = dx/(x+3) ln(y-1) = ln(x+3) + lnc here we find c using initial value x…

Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

A:

Q: 3. x = y? ,x = -2y² + 3

A:

Q: The equation r(t) = (2t + 3) i + (P - 9) j+ (t) k is the position of a particle in space at time t.…

A:

Q: Find an equation (in point - nomal form) of the plane containing the point (1.-3,5) and the line…

A: Given:

Q: Which of the following properties of the logarithmic function in the form g(x) =log.(x) where a >0…

A: