Write the augmented matrix for the system of linear equations. 6x +y+6z = 8 3x- 7y-z = 6 x- 4y - 5z = - 2 %3D ... Enter the augmented matrix.

Q: Confirm that the force field F = xy'i+ x²yj is conservative in some open connected region containing…

A:

Q: Given the function f(x) = 3x – 1 f(r + h) – f(x) Find the difference quotient h f(x + h) – f(x) Find…

A: We have to find following value.

Q: If R denotes the reaction of the body to some stimulus of strength æ, the sensitivity S is defined…

A:

Q: Ben is a fisherman with a boat in Rhyl harbour. This is part of a graph of the depth of water at the…

A: According to guidelines,  we must answer only three of the multipart questions given. Please…

Q: The matrix associated with the solution to a system of linear equations in x, y, and z is given.…

A:

Q: Evaluate (2x – y) dx + (x + 8y) dy. C: x-axis from x = 0 to x = 5

A: To evaluate line integral over X axis ,take y=0 and dy =0.

Q: Klara is building a fence in her backyard. The sides of the fence will form a right triangle with…

A:

Q: Evaluate the line integral -ydx + xdy along the curve C : y? = 24x from (24, 24) to (0,0). NOTE:…

A:

Q: A particle's position at time tis given by r(t)= (3t",4t+1,-t). Find a, att=3.

A:

Q: -1 Solve (1 1 using the inverse of a matrix. 1 6.

A:

Q: derivatives as functions of

A:

Q: uppose the area of the region betwe =b is 3 square units. Find the area be

A:

Q: Evaluate F. dr F(x, y) = 5xi + 8yj C: r(t) = ti + v4 - tj, -2 sts 2

A: Calculate drdt. drdt=ddtti+4-t2j      =1i+124-t20-2tj      =1i+124-t2-2tj      =1i-t4-t2j…

Q: results when the region in the first quadrant bounded by the curve x2 + y2 = 82 from x = 3.4 to x =…

A: To find surface area.

Q: B. Find the area of the region bounded by the following:

A:

Q: General Directions: Follow the directions given for each section. Write your solutions and final…

A:

Q: a) Use the definition of mathcal L \ *\ to determine mathcal L \ te^ -2t \

A:

Q: 8 Evaluate for (3x² -7x+4

A: We have to use the concept of derivatives

Q: Evaluate the integral by making an appropriate change of variables. 3(x + y) cos (x2 - y?) da, where…

A:

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

A: In the given question first, we will form a figure using the given information   And we will use the…

Q: If f(x) is continuous on the interval [a, b] and a <c < b, | f(x) dæ is equal to then

A:

Q: initial deposit of $1,000 is placed in a savings account with an APY of 4.3% sume the interest rate…

A:

Q: Approximate the area under the curve of y =-x+ 5 on the interval [0,2] using a right hand…

A:

Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

A: We use the concept of derivatives to find the absolute minimum and absolute Maxima

Q: Question 2 A balloon is rising vertically over a point A on the ground at the rate of 15 feet per…

A: Using differentiation

Q: Mark the critical points on the following graph. 교e-등, 98 980+ 882 784 686 588 490 392 294 196 98

A:

Q: * Your answer is incorrect. Use Green's Theorem to find the work done by the force field F(x, y) =…

A:

Q: A particle is moving with acceleration a(t) = 18t + 4. its position at timet = 0 is s(0) = 6 and its…

A: Solution of given question is written in below steps.

Q: b. Shown below is the graph of a function f(x). Determine the value of each of the following. ii.…

A: Given data÷

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: Use limit concept

Q: Sx³cos3x?dx

A:

Q: Evaluate (2x – y) dx + (x + 3y) dy. C: x-axis from x = 0 to x = 5

A:

Q: For the following function, a) give the coordinates of any critical points and dassify each point as…

A:

Q: 4. For the given function find the local extrema using the Second Derivative Test. f(x) = x³ – 9x2 +…

A: maxima minima

Q: Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.

A: Given, x²-y+1=0 I.e, x= sqrt(y-1)----- equation 1 x-y+1=0 I.e, x= y-1 ----equation 2

Q: 2. F(x) = [ cosr' dt

A: Use fundamental theorem of calculus

Q: 5. [6.1] If vector ā reaches from the origin to point (5, –7), determine the magnitude of ā.

A:

Q: S sin x In(cos x) dx X

A:

Q: Find the value of the specified finite sum. Given ak = 3 and bk = 7, find (ak- 2bk). %3D k=1 k=1 k=1

A: We can find the specified finite sum as below.

Q: 1. For which function below does lim f(x) = -∞? X-2+ 1 f(x) = - x-2 1 f(x) = - (2 – x) x² - 4 a. с.…

A: As per our guideline we are supposed to be answer only one question you can repost other questions…

Q: 01r (a)lev 7) Find the area of the region bounded by the curves y= x² and y = x+ 2. Sketch the area,…

A: In this question we have to find the area of region bounded by the curve and line.

Q: (a) Prove that the series Vn + 2x - Vn +x Σ n=

A: answer is in next step

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A:

Q: 3 For the given equation f(x) = x³ +a2 %3D 6x + 10

A: f(x)=x^3+3/2x^2-6x+10 f'(x)=d(x^3+3/2x^2-6x+10)dx f'(x)=3x^2+3/2(2x)-6(1)+0 f'(x)=3x^2+3x-6 take…

Q: Given the function below f(x) = V-80x + 144 Find the equation of the tangent line to the graph of…

A: Given :

Q: Double USA, manufacture of the Nicolas cage pillow has determined that the marginal daily revenue…

A:

Q: The following figure provides the plot of f(1). -4- 3. 2- 3. -2 -1 2-

A:

Q: uppose that F(x, y, z) = 0 defines z as a function of x and y and F is differentiable. "rove that dy…

A: Given F(x,y,z)=0

Q: The curved portion of the v-t curve shown in the figure are second degree parabolas with horizontal…

A: answer is in next step

Q: Consider the double integral XY dA Vx2 + y² I where R is the region of the XY plane, given in the…

A: