Find the divergence of the field. F = (2x+7y-8z)i + (5x +3y+6z)j + (-6x-y+2z)H div F =

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A: Given problem:-

Q: The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14…

A:

Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

A:

Q: Determine the conjugate radical of the expression -8+35. O-8 -35 O NE + 35

A:

Q: Determine whether Hhe Series convergence or diverges. Stare which test cf con vergence ( divergence…

A:

Q: Calculate the difference quotient for f(x) = x + x-' at a = 7. (Express numbers in exact form. Use…

A:

Q: 1(10,15) 2. An ant farm population is growing at a rate of g()=15e and declining at a rate of…

A: The rate of growth of an ant farm is gt=15e5t and  the rate of decline of the ant farm is dt=15e5t.

Q: A rectangular picnic area of 8000 m² is being constructed along the edge of a river. It will be…

A: Explanation of the answer is as follows

Q: Find for the Implicit function: dx x2 – sin(xy) + y? = 5xy

A:

Q: 1. Find an equation for a parabola with focus (– 10, 7) and directrix x = - 6.

A: A detailed solution is given below

Q: Find all the values of t where the tangent line to the parametric curve is horizontal or vertical.…

A:

Q: :Q1 Solve the second order differential equation Y" – 5Y' + 9Y = 0

A:

Q: The radius of a sphere was measured and found to be 6 cm with a possible error in measurement of at…

A: Let V be the volume and r be the radius of sphere

Q: Using "Numerical Differentiation (Forward Finite Difference)" Problem Solving f(x) = 2sinx - x3ex…

A: Given that the function is fx=2sinx-x3ex with h=0.002. It is required to find f'2 and f''2. The…

Q: Find the maximum and minimum values of the function f (x) -3x on the interval 1+x2 0<x<6.

A:

Q: QUESTION 1:-.. a) State the order of the ordinary differential equation and determine whether the…

A:

Q: A Moving to another question will save this response. tion 7 /2 Given f(x) = sin(x2) on [0, n/2],…

A:

Q: d) Classify the differential equation as separable, exact, homogeneous, or Bernoulli. The equation…

A:

Q: Find the total area of the region enclosed by y=x^2 and y=2x by integrating with respect to y. A…

A:

Q: dx 4. S; x2Vx2-1

A: Given: I=∫dxx2x2-1   ...1 As we know that; The trigonometric identities; 1). sec2x=tan2x+1 2).…

Q: c) Find a homogeneous differential equation whose general solution is given by y = c,x-1 cos 3lnx +…

A: Let's find.

Q: 3. Sx Vx? – 4dx 4. S(2 – sin 4r) dr 5. S cos x sin? x dx

A: LetI=∫xx2-43dxPut x2-4=udifferentiate 2xdx=duxdx=du2I=∫xx2-43dx.I=∫u32duTake the constant out:…

Q: is xZ dz dx dy

A:

Q: Solve triangle ABC if ZA = a = 37.1°, b = 11.5 ft, and c = 13.6 ft. Using the Law of Cosines, ft.…

A: Using law of cosines;a2=b2+c2-2bc cosαa2=11.52+13.62-2(11.5*13.6)cos37.1a2=67.72575a=8.229a ~ 8.23…

Q: dx 4

A: Answer is in step 2.

Q: Find the area enclosed by the curves y = y = 2 1- 9x2 2n B 3 D 6. [+

A:

Q: Determine whether the integral is improper (x- 4) -'dx

A: Step 1: Identify whether one or both of the bounds is infinite. If so, then this is a Type I…

Q: 1. Rule 1: Add 2 starting from 9. Rule 2: Add 3 starting from 5. Sequence 1 Sequence 2 Ordered Pairs

A:

Q: Let u= where A and B are some constants. Given that u+ 6v= find the value of the product A.B.…

A:

Q: Find the marginal profit function if cost and revenue are given by C(x) = 184 +0.3x and R(x) =…

A: This is a problem of differentiation . Based on the formula and concept we will answer the question.

Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: The graphs of ƒ(x) = x² + 5 and g(x) = -x² + 2 share two common tangent lines. Find the equations of…

A: Here we will find the equation of common tangent,

Q: Current Attempt in Progress Consider the curve y = 6x3. The sketch of the portion of this curve…

A: Solve the following

Q: 15. S(x + 2)²dx

A: Solve the following

Q: The spread of a highly contagious virus in a high school can be described by the logistic function…

A: Given problem:- The spread of a highly contagious virus in a high school can be described by the…

Q: Using a method of reduction to separable equation and reduction to linear equation, find the general…

A: Let's find.

Q: 9. S sec 2x dx 10. S cos x esin x dx 11. dx x+1

A: Evaluation of the above integration is

Q: The line of intersection of the planes 2x +y - z= 4 and 4x – y+3z = 2 has equation %3D O a) (x, y,…

A:

Q: dy I# 2x²y° - 3ry = at the point (1, 2)? 4x. what is %3D da O b) 2/3 O c) None of these O d) -43 e)…

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the given curve:r = 5e 2 on the interval

A:

Q: Use properties of logarithms with the given approximations to evaluate the expression. log 3x0.477…

A:

Q: d²y 2. Find the second derivative, dx² a. x = t² + 1 and y = t³ b. x = - t2 + 2 and y = sin(t+ 1)

A: Let's find.

Q: Q4) Find for the following functions (- dx Зх +4 %3D 2x+3 6. y = tan-1 V4x3 - 3 %3D

A:

Q: (а) (5х* - 4x? +5)dk (b) S(2x+1)(3x – 7)dx

A:

Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

A:

Q: Find the following limit. 2- 4t – 5 lim t - 5 t+5 answer =<

A:

Q: B. Solve the following problems using differentials and linear approximations. Show complete…

A:

Q: Find an equation of the tangent to the curve at the given point. x = 8 sin(t), y = t2 +t, (0, 0)…

A: The given curve,x=8 sin(t), y=t2+t at (0,0)

Q: A tank in the shape of an inverted cone has a height of 15 meters and base radius of 4 meters and is…

A: Dear learner, As per our guidelines we can provide the solution for first one only. Kindly post…

Q: B) Find the limits by using L.Hopital rule : 7x 1. lim x-0 sin 2x x2-16 2. lim X4 (Vx+5)-3

A: Using l hospital rule.