plem #4: Use the divergence theorem to find the outward flux || F.n dS of the vector field F = cos(3y + 4z) i + 2 In(x2 + 6z) j + 4z2 k, where S is the surface of the region bounded within by the graphs of z = V64 – x² – y² , x2 +y? = 2, and z = 0.

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 15 sin(t) + 4…

A: We have to find s(t).

Q: 67 |xsin 3xsin 2xdx

A:

Q: Write an equation of a rational function, in general form, which satisfies the following conditions:…

A: This is a problem related to function calculator. Based on the general concept we will answer the…

Q: Queslfon (2): sKetch and find Range.- ) fow= (x +2 -4 2) fra)= 4- Vx-5 7) fox)= -Ix +3| +5 り frye…

A:

Q: in find laplace %3D

A:

Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. d. Without doing any…

A: Consider the function  y=3-2x

Q: 4.x – 6 2. Let f(x) 1- (2х - 3)3 (a) Find the Taylor series representation for f about r = 1.5 that…

A: This is a problem of expansion of the series. Based on the formula of taylor series we will solve…

Q: 1 Find the exact arc length of y =÷x 2 4 - In x over [1, 2]. Show All Your Work!

A: This is a problem of finding out arc length of the function. This can be solve by using concepts of…

Q: Find the given higher order derivatives. et (x) = cos(3x- 2). Find f"(x). 39) %3D (153) (x). %3D

A:

Q: 10. Determine whether the improper integral converges or diverges 3 dx (x – 1)3 -

A: Given query is to integral converges or diverges.

Q: 97 97 Suppose that ai = -4 and b; = 14. Compute the sum. i=1 i=1 97 2(- la; + 4b;) Question Help:…

A:

Q: Find the directional derivative of the function at P in the direction of v. h(x, y, z) = xyz, P(4,…

A:

Q: At a given moment, a plane passes directly above a radar station at an altitude of 6 miles and a…

A: Let's find.

Q: Sketch the region whose area is given by the definite integral. 36- х2 dx -6-

A:

Q: The function I (t) = - 0.2t3 + 3t2 +100  for 0 ≤ t ≤ 9 gives the CPI of an economy, where t = 0…

A: This question can be solved by applying the relation between CPI  and inflation rate.

Q: Change the Cartesian integral into an equivalent polar integral. Then evaluate the polar integral. a…

A:

Q: D(x) is the price, in dollars per unit, that consumers are willing to pay for x units of an item,…

A:

Q: Find the most general antiderivative or

A: Given query is to find the integral.

Q: 5 dA over the region R bounded by y = Vx, y=0, and x 32 using Write an iterated integral for R. a.…

A:

Q: (a) Suppose f(x) = cos (15x) b* and f'(0) = 2. Find b. 2 The value of b is e (b) Suppose f(x) = sin…

A:

Q: 6) Use the scalar triple product to verify that the following vectors are coplanar: ü = i + 53 – 2k…

A:

Q: Evaluate the double integral over the given region R. yx cos x dA R: -1sys1,0sXST R yx cos x dA =…

A:

Q: A circular swimming pool has a diameter of 20 ft, the sides are 5 ft high, and the depth of the…

A:

Q: 4. In geometric series, the first term is 20 and the fourth term is Find the sum, S of the first n…

A:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x by the line…

A:

Q: 5. An investment that earns 7.5% per year compounded monthly. What is the actual annual (1-year)…

A: Given problem:- An investment that earns 7.5% per year compounded monthly. What is the actual annual…

Q: Prove that if A and B are any vectors, then the vectors lBl A + lAl B and lBl A - lAl B are…

A:

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Given Equation of line is x=2t,y=t-3, z=2t+2That isx2=y+31=z-22=tequation of line in vector form is…

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

A:

Q: on enclosed by 4+x ア= Find the area of 4

A:

Q: Expand each function (using the appropriate technique/formula). Compute the derivative of the…

A: "Since you have asked multiple questions, we will solve the first question for you if you want any…

Q: Use polar coordinates to evaluate the double integral. 19y dA, where R is bounded by r-2- cos(0)

A:

Q: 4. y = log,(x* +3x² +1)

A: y = log(x4 +3x2 +1 ) here we use chain rule for differentiation dy/dx = (4x3 +6x )/(x4 +3x2 +1 )

Q: x* cos 3.xdx 2 fr' cos 3.xdx sin 3xsin 2.xdxr

A: Solving

Q: 1. Evaluate the double integral ty dA, where R is the region in ry-plane between the circles of…

A: Given problem:-

Q: Find the indicated limit. 4/x x/ lim

A:

Q: The following figure gives the graph of the derivative of a continuous function f that passes…

A: Graph of the derivative of function is given, we have to find the graph of f.

Q: Find the most general antiderivative or indefinite integral. dt

A:

Q: Antiderivatives resulting in inverse trigonometric function secx tanx -dx J 9+ 4sec²x

A:

Q: 2 X fcx)- x+2ー100 Solve this question by the Bisection method on the topic of solution of Algebraic…

A:

Q: 5. Figure below shows triangle AOC inscribed in the region cut from the parabola y=x' by the line…

A:

Q: Find the general equation of the plane containing the point (2, –1,4) and normal to the line 2 = =…

A: As the line is normal to the plane, the DRs of the line and normal of plane is same.

Q: 2. Solve the equation 2 + 34-5x = 10 in terms of logarithms and then use a calculator to find…

A: We will use logarithms to solve this question.

Q: Find the equation of the tangent line to f(x) =3cscx+xsinx at X= 2 A y=x- 3 y=x+3+ 2 y=x+3 y=x+3-

A:

Q: Find the average height of the paraboloid z = x² + y? over the square 0<x<4, 0sys4.

A:

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by…

A:

Q: Caechy Eulu Eguihon: Eula Equeñin: 2 2 slve

A:

Q: Vx2-7x+16-V6 2. lim X→5 (х-5)/x+1

A: Since you have asked multiple question, as per company guidelines we will solve the first question…

Q: Find dy/dx of the following function

A:

Q: 2. Sketch and identify the graph of the equation a + y? – 2y –- 3 = 0 in 3D.

A: x2+y2-2y-3=0x2+y2-2y+1-4=0x2+(y-1)2=4The equation represents circle in 2D,but a cylinder of radius 2…