Given that v = (0, -2) and w = (5, -8), what is w - v? A (5,6) B (5,-6) C (-5, -6) D (-5, 6)

Q: Evaluate the given definite integral. -23 125 th In x

A: let D=∫123lnxxdx

Q: Use the graph of H shown to the right to find the limit. When necessary, state that the limit does…

A: The graph of the function Hx is To determine: The value of limx→-2Hx.

Q: -3- -4 1 V 3 4 5 The graph above shows the base of an object. Compute the exact value of the volume…

A:

Q: What is the area between the curvey and the x-axis on the interval from [0, 2]? O 128T OO CAT 128 7…

A: The given curves are: y=x6   and   x-axis  on the interval  0, 2

Q: 1. convergent (a) Determine whether each integral is convergent or divergent. Evaluate those are (b)…

A: ∫0∞e5-2xdx

Q: Consider a right triangle with a side of length opposite angle A, a side of length y opposite angle…

A: Given: Consider a right triangle with a side of length x opposite angle A, a sideof length y…

Q: Use the method of partial decomposition to perform the required integration. S 148 dz 2²46

A:

Q: 4 3 -3 +---)-(6) --- 00 0 12 0 A-1 = 120 A-21= 0 5 3 0 0 0 3 3 -3 -(6)-( 0 -1 0 1 2 -1 1 0 0 1 0 0 0…

A: ⇒A-I=43-3000120 ⇒A-2I=33-30-1012-1 ⇒A-4I=13-30-3012-3

Q: Determine and sketch the domain of the function f(x,y)=√xy.

A: f(x,y)=√(xy)

Q: 11. Let y = 2x² - 5. Find the differential dy when x = 3 and dx = 0.01.

A: given y=2x2-5

Q: Evaluate the surface integral ¹ // F F. ds for the given vector field F and the oriented surface S.…

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Q: Fill in the missing entries of the matrix, assuming that the equation holds for all values of the…

A: Two matrices are said to be equal if they have the same order and the corresponding elements are…

Q: 5. Find the plane containing the line given by x(t)=4+3t, y(t) = -5+5t, and z(t)=3+8t that is…

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Q: Use the Chain Rule to find az/as and az/at. Z = tan(u/v), u = 8s + 2t, дz as дz 34 || || v = 2s - 8t

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Q: Find the indicated partial derivative. V = In(r4 + s5 + tº); Ꭷ3v ərəsət Ꭷ3v ərasət

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Q: What is the volume of the 3D region obtained by rotating the following 2D region around the y-axis…

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Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A: The given surface is:f(x, y, z)=2x2-3y2+2z2-17   The given point is:  P=-1, 1, 3

Q: A. Use the chain rule to find and as functions of x, y, s and t. Əs Ət əz Əs əz Ət = B. Find the…

A: We have, z=(x^2*sin(y)), x=(5s^2−3t^2), y=(−2s*t)

Q: r(t) = ti+t²j+ + 1 {/f²k 2

A: Solving the problem

Q: Find a formula for a cubic function f if f(3) = 24 and f(−1) = f(0) = f(4) = 0.

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Q: 2x cos(x²) esin(x²) dx

A:

Q: 9. The region R enclosed by the curves y = √√x and y = x² is rotated about the x-axis. Find the…

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Q: Find the partial derivatives gæ, gy and 9% for the function g(x, y, z) = xy + x² z − yz³

A: Given :- The function gx,y,z=xy+x2z-yz3 To find :- The Partial derivatives

Q: 4. 21-25 Use the form of the definition of the integral given in Theorem 4 to evaluate the integral.…

A: Note:- Since you asked multiple questions, according to our policy we can solve only first question…

Q: The pulley wheels are subjected to the loads shown. Determine the equivalent force-couple system at…

A:

Q: 3. A parallelogram is formed by the vectors OA = (6, 3) and OB (-1, 1). Determine the acute angle…

A: A parallelogram is formed by the vectors OA→=6, 3 and OB→=-1, 1.   To determine the acute angle…

Q: Find the 4 th Taylor polynomial of f (2) = Ti ( z ) - N s ( 2 ). If zg= 0 COS N

A: Solving the problem

Q: Find an equation of the plane passing through the three points given P = (4, 2, 9), Q = (6, 7, 18),…

A: We have given three points as P = (4,2,9) Q = (6,7,18) R = (11,8,12)

Q: 5. Prove that xdx a b²_a² 2

A: According to guidelines we are supposed to do first question only. Kindly repost the other question.

Q: What are the rectangular coordinates of the polar coordinates (35√,−π8)? Enter your answer in the…

A: NOTE: Refresh your page if you can't see any equations. . the given polar coordinate is  . the…

Q: Check that the point (−1, 1, 3) lies on the given surface. Then, viewing the surface as a level…

A:

Q: Evaluate by complete u -substitution x+1 (x-1)² dx

A: Use u-subsituation method

Q: Evaluate the integral. If the integral converges, determine the number it converges to. If the…

A:

Q: 1 cotx ln sinx|dx x In [ x Ja 2 1 2

A: To find, ∫ cotx2lnsinx2dx Let I=∫ cotx2lnsinx2dx We know that cot(x2) = cos(x2)sin(x2). Therefore…

Q: Find the indefinite integral. Hint: u = x - 1 implies x = u +1. x(x-1)dx

A:

Q: Solve the following differential equation y"+y' = sec(x).

A: We have,     y'' + y'  = sec (x)

Q: Match each of the following vectors with its magnitude. t = (-7, 1) u = -2i-8j a vector with an…

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Q: Find the critical points in the domain of the function f(x) = 7x³ - 6x.

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Q: Q6 Use the graphs below to fill in blank. Write DNE" for Does Not Exist" or NEI" for Not Enough…

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Q: 2^32cos2x is not a correct solution for the equation submitted

A: We will find first few derivative directly and then use that pattern to find solution.

Q: Part 1 Find the binomial coefficient. 7C5 20C15   Part 2 (Use the binomial theorem to expand…

A: Binomial Theorem: a+bn=C0nan+C1nan-1b+C2nan-2b2+C3nan-3b3+......+Cnnbn. Binomial coefficient:…

Q: Integral is convergent or divergent. Evaluate those (c) (d) S 2² 9+x6 dx

A:

Q: 3 Given that y = ³x solves -2xy"+(6x+2)y-6y=0, find the second solution of the above differential…

A: -2xy''+6x+2y'-6y=0

Q: f(3) = lim f(x)= x-3 f(5) lim f(x)= x-5 lim f(x)= lim f(x)= x-3° lim f(x) = x-5 lim f(x)= 1-5 M lim…

A: When function continuous at x=1⇒limx→afx=faOR⇒limx→a-fx=limx→a+fx=fx

Q: 7. fc (x + 2y) dx + x² dy, C consists of line segments from (0, 0) to (2, 1) and from (2, 1) to (3,…

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Q: Integrate by partial fractions: x² - 4x + 4 r(r - 1)³ -dx

A:

Q: For an object whose velocity is given by v(t) = - +4, what is its displacement on the interval t = 0…

A: Given that valocity v(t) = - t2 +4. And interval is t=0 to t=3. We find displacement on this…

Q: Find the average value of the function f(x)= xex² over the interval [0,2].

A:

Q: Find the Laplace tranform of the ff: e3xsin4x

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Q: What is the polar form of the equation? (x+6)² + y² = 36 O² 12r cos 0 Or(r+ 12 cos 0) = 0 ○r (r + 12…

A: x+62 + y2 = 36