Find the outward flux of the field F = 8xyi + 6yzj + 6xzk across the surface of the cube cut from the first octant by the planes x = a, y = a, z = a. The outward flux of the field F across the cube is equal to

Q: Find the derivative of the transcendental function. 60* x². y

A:

Q: 4. Consider the following information collected from 100 people: number of people in that age range…

A:

Q: Use the fundamental identities to find the value of the trigonometric function. Find sin 0 if cos 0…

A:

Q: Find the 4th -degree Taylor polynomial centered at x = 0 for the function f(x)=√1+x. Use the…

A:

Q: Decide whether the relation defines a function. {(-8, 2), (-8, 8), (1, -9), (6, 3), (7,5)} Not a…

A:

Q: Find the derivative of the transcendental function. h(x) = - 14 sec x X h'(x) = -5x2-14 secx-tanx

A: We need to find the derivative of the given transcendental function.               hx=5x-14secx

Q: Find the composite functions (f. g) and (g°f). What is the domain of each composite function?…

A:

Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.

Q: A if statement I is false and statement II is true; B if both statements I and II are false; C if…

A: A graph of the function f is given below. To determine the correct choice for items 4, 5 and 6.A if…

Q: Prove that: sec (0) +tan (0) cot (0)-cos (0) -=sec (0) tan (0)

A:

Q: I believe there is an error in the solution to this problem. The graph has the y value for 9 as 10…

A: Yes you are correct. I am posting the correct answer with necessary changes.

Q: The rate of change in the number of barrels, B, of oil pumped from a field is proportional to…

A: Given the rate of change in the number of barrels, B ia proportional to 2,300,000 - B(t) Here 't' is…

Q: Find the derivative of the transcendental function. y' = y = 6e* x² +8 6(x²–2x+8)ex (x+8)²

A:

Q: The inverse forms of the results in Problem 49 in Exercises 7.1 are et cos bt x^{(5-507² +6²) and b…

A: We need to solve D.E.

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: (19) State the Substitution Rule for integration. (20) Find f4r³√x + 10dx (21) Find fr³ cos(x¹ +…

A:

Q: Assume that the functions ?,?,ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c,…

A: given: ℎ:ℝ→ℝf,g,h:R→R are differentiable such that  f′(a)=b, g′(b)=c, h′(c)=d, f(a)=e, g(e)=ℓ,…

Q: A population of 440 bacteria is introduced into a culture and grows in number according to the…

A: Let's find.

Q: What is F(x) = [ COS X √sin x dx? O F(x) = 2√sin x + C

A: NOTE: Refresh your page if you can't see any equations. . ...................(1) substitute…

Q: Find f'(x) and f'(c). Function f'(x)= f'(c) = f(x) sin x x Value of c π 3

A:

Q: (5) Sometimes we encounter regions bounded by curves obtained when x is a fu this case, if XR…

A:

Q: Perform the calculation. 90° - 58°20' 32°20' 31°20' 31°40' 32°40'

A:

Q: Find the area under the graph of y = -x² AL 54 3-2 -11° 1 2 3 4 5 X 4x on the interval [-4, -2].

A: We will solve the required.

Q: 25 A particle P is moving along a straight line. At time / seconds. > 0, the displacement, x metres,…

A: Given: a partical P is moving along a straight line. at time t sec, t>=0 the displacement x…

Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

A:

Q: Find the general solution of the following differential equation. (y+2)dx + (x-2)dy = 0 Send…

A: I am attaching image so that you understand each and every step.

Q: (17) Evaluate the following definite integrals: ³₂(x³ + x³)²dx ● ● sec(0) (sec (0) + 3 tan(0)) do •…

A:

Q: A boat purchased for $25,000 depreciates exponentially. After one year, the car is valued at…

A: Given that, A boat purchased for $25,000 depreciates exponentially. After one year, the car is…

Q: Compute the Jacobian for the substitutions = psin o cos 0, y = p sin osin 6, z = p cos p.

A:

Q: 8

A:

Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross-sections…

A: Given the base of 3-D figure is found by y = sin(x) + 1. The cross sections are vertical and…

Q: 12. Which equation represents the image of y Oy= 1 x-4 Oy+4=1 1 Oy=274 x+4 Oy-4-1- 1 after a…

A: The objective of the question is determine the new function (equation) after translation upward.

Q: 20

A: I have stated the used formulas in the solution

Q: (23) Explain the Substitution Rule for Definite Integrals. (24) Find √3x + 5dx (25) Find 1 (3x + 5)5…

A:

Q: If [ ½ dx = 1⁄2x + 3, which of the following statements is true? / / / / dx # 1/1/2x + 3 0 / dx = x…

A: We can answer the question as below.

Q: IMS { (-1) * x² 49

A:

Q: What is the area of the integral of f(x) = 2x + 4 within th 0987 65 +3. 10 9- 8- 5-

A: application of integration

Q: Solve the initial-value problem by using integrating factors. y' = y + 8xex, y(0) = 8 y(x) =

A: we will find the required.

Q: Use the parallelogram rule to find the magnitude of the resultant force for the two forces shown in…

A:

Q: For each of the following differential equations, write the particular solution proposed according…

A:

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

A:

Q: Q16 3⁰ 3t+2 a) 1 b) J dt dr cos² r√5 + tanz dt (3-5t)²

A: see below the answer and calculation

Q: sin () = √3- sin(). The Solution set is 3 21 A 5 31 3 3 {##) (1 O{#, *}

A: topic - solution of trigonometric equations

Q: MTH 32 (3) What is the Definite Integral of a function f from a to b?

A:

Q: Find the slope of the tangent line to the given polar curve at the point specified by the value of…

A:

Q: Calculate lim n4x Σ 11.4 n. 4n

A: Given   limn→∞∑i=1ni.4in.4n

Q: Evaluate ff sin(9x² + 4y²) da, over the region in the first quadrant by the ellipse 9x² + 4y² = 1.

A:

Q: -Consider the function defined by the base: Find dz ) Prove that дz +y əx дz ду = sin 2z z =…

A: Topic:- application of derivatives

Q: Graph the function. Clearly label asymptotes and graph two full periods TU -06 Ms H f(x) = cot(x +…

A:

Q: 11. 12. 13. 14. 15. 16. 18. 19. For items 11-25 consider g(x) as defined below. 20. I. lim g(x) does…

A: Solution is given below: