1 |sin xdx ーπ 3 sin xdx 5 S sin xdx

Q: f (x)=, 1- sin x

A:

Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: Evaluate the triple integral g(z, y, 2) dV over solid B. B = {(x, Y, 2) | 4° 0, y > 0, 5 < z < 8}…

A:

Q: 6. 24 4 3) 0 1 %3D 0.

A:

Q: F. 2 22+3x dx = 4 + C G. E 32 %3D 2 In 3 Inxl + C dx H 2 D(x2 - 2 +) dx = x(x* – 4x + 4) + C J. 3…

A:

Q: find the volume of tme solid that results whn the reguon enclosed by y=va, y=0, and x=9 is revolvcd…

A: We need to find the volume of resulting solid on revolving the region enclosed by  y=x , y=0 , x=9…

Q: Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity…

A: v0 = Velocity at center of pipe cmsv0 = 195.9 cmsL = length of the pipe cmL =…

Q: Evaluate this integral where C is a positively oriented closed curve delimiting the area D which…

A:

Q: 2) The rate of change of an electrical current, i, in a microprocessor circuit is given by di 0.4t –…

A:

Q: 1)" Given: In(1+ x) = > if x < 1. n + 1 n=0 1. Find the Mlaclaurin series for f(x) = x ln (1+ 3)

A:

Q: 3. Find the derivative of the following functions using differentiation rules. x2+V+V+14 a. y = b. y…

A:

Q: Find f. f"(x) -2 + 36x – 12x², f(0) = 2, f'(0) = 14 %3D f(x) =

A:

Q: 1. Find the discontinuity point/s of f(x) =

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Find an equation of the tangent plane to the surface at the given point. g(x, y) = arctan 2, (4, 0,…

A: Given problem:- Find an equation of the tangent plane to the surface at the given point.   g(x, y) =…

Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

Q: Show that the equation 2x+ sinx=0 has exactly one real root. (Hint: Step 1 show that the equation…

A: Solution is given below:

Q: 3. Evaluate the following integrals: Cose G = 1+ sin ở) v de Vsin

A: LetI=∫cosθ1+sinθsinθdθPut sinθ=udifferentiate on both sidecosθdθ=duI=∫1u1+uduPut u=v2differentiate…

Q: Find f. f"(x) = x-2, x> 0, f(1) = 0, f(6) = 0 f(x) =

A:

Q: 1-cos 2x lim 4x

A:

Q: b. One airplane is approaching an airport from the north at 206 km/hr. A second airplane approaches…

A:

Q: The rate A (in tons per year) at which a pollutant is being dumped near a city is given by the…

A: Total amount of pollutant dumped is obtained by integrating the function A(t)

Q: Solve each equation. 0. -5 -5 1) -1 %3=

A: Here we have to solve, -504-1Z=-55

Q: If f (x,y,z) = (x?y + y'z)-/3 find the degree of homogeneity if it exists. Enter the answer in the…

A:

Q: Substitute s, = 2 into the function f(t) = -4.9t2 + vot + Sp. f(t) = -4.9t2 + vot + 2v When the…

A: To  get the velocity function from the given position function.

Q: Suppose that f is a twice differentiable function and that its second partial derivatives are…

A: answer is in next step

Q: Find the gradient vector field (F(x, y, z)) of f(z, y, z) = e®2z + $y + 2= F(1, y, z) =

A:

Q: series onvergent, 8· 16 · 24 · (8n) .... n! n = 1 O absolutely convergent O conditionally convergent…

A:

Q: In a memory experiment, Alice is able to memorize words at a rate given by m'(t) = -0.012t +0.4t In…

A: see below the answer

Q: Find the point of diminishing returns (x,y) for the function R(x), where R(x) represents revenue (in…

A: Given problem:- Find the point of diminishing returns (x,y) for the function R(x), where R(x)…

Q: Absolute minimum of f(r, y) is Absolute maximum of f(x, y) is

A:

Q: For the function f(x) = 7x° - 2x2 + 5x+6, find f"(x). Then find f'"(0) and f"(3). f"(x) =

A:

Q: Evaluate the limit. N 5i lim > N2 i=1 (Use symbolic notation and fractions where needed.) N 5i lim…

A:

Q: Jcos. xdx 2 fcos.xdx 4 2 Jcos xdx

A:

Q: M3.1 Integration by Parts (IBP) 1. Sx³e*/2dx S* x sin 2x dx 2.

A:

Q: Let A = 1 a. Find the matrix product A'A b. Find the determinant |A'A| c. Find the inverse (A'A)-1,…

A:

Q: 1) Test whether the following differential equations are exact and solve those that are. 5.30. (y…

A:

Q: Use any method to find the relative extrema of the function f (x) = 6x + 13xs. If there is no…

A:

Q: A cylindrical kite frame is to be constructed from a 4 metre length of bendable  steel rod. The…

A:

Q: Find f. (Use C for the constant of the first antiderivative and D for the constant of the second…

A:

Q: Find the gradient vector field (F(r, y, z)) of f(x, y, z) = x² sin(3yz) F(z, y, 2) = (

A:

Q: Find the gradient of the function at the given point. f(x, y) = 4x + 5y2 + 4, (3, 4) %3! Vf(3, 4) =…

A:

Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

A:

Q: Use the Law of Sines to find x. Let a = 85, ZA = 34.6°.

A:

Q: Let y1 = 9cos(2x) and y2 = 2cos2 (x) – 2sin? (x). Calculate the Wronskian, W(y1, Y2). Give your…

A:

Q: 2. Find the exact length of the fllowing curvis 1&s4 () x= Imfi-) <と

A: a) y=13xx-3 ; 1≤x≤4 Note:      Multiple questions are given, we are answer with only one question.…

Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

A:

Q: In 11 Iny S ** dx dy. Evaluate the integral 1 0 The value is

A:

Q: . The population of a bacteria colony after t hours is given by P(() = 2000e growth rate of the…

A: To determine the growth rate of colony at given time.

Q: function and determine the radius of convergence  f(x) = x/(1+4x)^2

A:

Q: Let b be a real number with b > 1. Determine whether }) 1+ bk of your solution, clearly state any…

A: given series ∑k=0∞ 11+bk