Describe the graph of the equation. r = (5 – 31) i – 81 j O It is a line in 2-space that goes through the point (5, 0) and is parallel to the vector r = –3 i – 8 j. O It is a plane in 2-space that goes through the point (5, 0) and is parallel to the vector r = -3i – 8 j. O It is a line in 2-space that goes through the point (- 3, 8) and is parallel to the vector r = 5 i. O It is a line in 2-space that goes through the point (5, 0) and is parallel to the vectorr = -8i – 3 j. O Itis a plane in 2-space that goes through the point (– 3, 8) and parallel to the vector r = 5 j. %3D

Q: Change the order of integration. f(x, y) dy dx Jo

A: 0≤x≤10≤y≤xRegion bounded by:x=0, x=1y=0, y=x

Q: Find the interval of convergence for the Maclaurin series expansion for f(x) = e".

A:

Q: (-1)"2"x" n=1

A: We will use ratio test to find radius of convergence.

Q: 17-20 Express the limit as a definite integral on the given interval. 17. lim sin x, Ax, t, [0, 7]

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 4 fy 1 -3 -2 1 -1 -2

A:

Q: Find the curvature of the plane curve y = -t at the point t = 2. к(2) -

A: Given:y = -t4differentiating with respect to t, we get:            y' =     d(-t4)dt…

Q: Evaluate the line integral / (x +8y)dx + (5x – 4y)dy along the - curve C : x = 8 cos t, y = 16 sin t…

A:

Q: 7. a) Find the indefinite integral. (Remember to use absolute values where appropriate) 1 dx 4x -

A:

Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y 0, y= 4+ x°…

A: Here we have to find the volume.

Q: Consider the following statements. 1-If B is a symmetric matrix of 9x9 so the elements b32 and bz3…

A:

Q: For each sign chart for f. Carefully sketch the graph of both functions f and f. Upload your work as…

A: When derivative of f is positive then f is Increasing and when f' is negative f is Decreasing

Q: Evaluate lim (x)/

A: We can find the  limit as below.

Q: If 1 f(x) 1 .3 + 1 + x 4 X° + 3 then find f'(0) +

A:

Q: -6w + x + 3y + 6z = -6 -7w - x – 9y – 2z = -33 -4w – 9x + 8y + 9z = -94 -w – 6x – 10y + 9z = -202…

A:

Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

A:

Q: Find V x (V × F) if F(x, y, z) = 8xyj+7xyz k. V × (V × F) =

A:

Q: Find the average value of the function f(x,y)=eˆ(y/x) over the region bounded by y=x, the x-axis and…

A:

Q: integral of 3/(x^2)+9

A:

Q: +y = e=* sin x

A:

Q: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

A: Given query is to find the equation of the tangent.

Q: If f(x) = cos(2x) then find II f (t|4)

A: Given query is to find the Indicated derivative.

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 5…

A:

Q: Given the force field F, find the work required to move an object on the given orientated curve. F =…

A:

Q: dy x+3y. dx 2x

A: First order differential equation :  Consider the first order differential equation…

Q: Area A = 1,427 Calculate the definite integral f(x) dx by referring to the Area B = 2,460 Area C =…

A: Here we will find the definite integral,

Q: 59-64 Use Property 8 of integrals to estimate the value of the integral. x'dx 60. | Jo x+4 59. dx…

A: ∫xn dx = xn+1n+1 +C ∫tan x dx =ln sec x+C

Q: Find V · (V × F), if F(x, y, z) = 6e²*i+ 5xe"j – 2ev³k. %3D -

A:

Q: Find the particular solution that satisfies the initial conditic (e* + eX), f(0) = 1, f'(0) = 0 2…

A: Here we have to find the particular solution of given differential equation.

Q: -4 = ニ 200

A: To solve for x using the the given equation.

Q: Sketch a single graph of a function f(x) which satisfies all of the following the limits and values.…

A:

Q: (2) Prove that for any integer L () NTX / sin? dx = L. L -L

A: ∫ cos(ax) dx = 1a sin(ax) +C

Q: Investigate the convergence of the following series. H.' 2n+5n 2) ΣΗ-1 ILJ! 3n

A: Here, the given series is: ∑n=1∞2n+5n3n Let, an=2n+5n3n; n≥1

Q: Determine the value of t that maximizes the area above the x-axis and below the graph of the…

A:

Q: Consider the matrixes 0 3 -9 k A = O .B = ( , 7 7 62 k is a real constant M = (A-B-1)-1 If m22 = 14…

A:

Q: 2Tan 'x - x 9. lim,0 'x0 2x – Sin 'x

A:

Q: Describe the graph of the equation. r = 15 sin 5t i + 15 cos 51 j O Itis a circle of radius 15 in…

A:

Q: Find div F and curl F if F(x,y, z) = xzºi+ 5y°x²j+ 5z?yk.

A:

Q: Approximate the point of intersection of the graphs of f and g. Then solve the equation f(x)=g(x)…

A: given function : f(x)=log3x and g(x)=2from figure it is clear that intersection of both curve is…

Q: Consider the solid of revolution obtained by revolving the region between the curves y=0 and y=x^2…

A:

Q: Determine the vector field of F. F(x, y) 3D 6і — 2)

A: GIVEN :                  F(x,y) = 6i - 2j.           ------(i)  We have to determine the vector…

Q: 25. dx is 1 (B) (©) ! (A) 2e (D) (E) divergent

A: see below the answer and calculation

Q: Utilize the Lagrange multipliers method to maximize the function f(x, y) = 8x + 18y - 10x2 - 4y2…

A: The given function is  f(x, y) = 8x + 18y - 10x2 - 4y2…

Q: As you will show, exponential growth functions ekx always dominate power functions x", and power…

A:

Q: L, f(x)dx + [° f(x)dx = 5. Si f(x)dx – Sº f(x)dx = 4.

A:

Q: The equation of the tangent plane to this ellipsoid at (1, –2, –2) is The vector parametric form of…

A:

Q: A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it…

A:

Q: Evaluate the line integral using Green's Theorem and check the answer by evaluating it directly. $ 3…

A:

Q: Find V x (V x F) if F(x, y, z) = 4.xyj+ xyz k. V x (V × F) =

A:

Q: Find the volume of the solid formed by rotating the region enclosed by x = 0, x = 1, y= 0, y = 7+a*…

A:

Q: On the axis below, sketch the graph of a function, f, which has a critical point at r = 1 4. (.. but…

A: Solved below