Find the magnitude of the scalar multiple, where u=(2,0) v=(-3,6). ll-3/4ull

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A: We know that rate of change of position is called velocity of the function.

Q: Evaluate O xy dx + x°dy, where C is the rectangle with vertices (0,0), (6,0), (6,3), and (0,3)

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Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the lad...

A: The objective is to find the distance of the base of the ladder from the side of the house.

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A: See the details solution in below

Q: dy - 4 2.

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Q: Solve using horizantal Slide EX Evaluat..f.x.dA.whak.R.a.the.sgen.in.the figt. quadvant.bounded.b..x...

A: ∫∫R f(x,y) dA= ∫∫R f(x,y) dxdy =∫∫R f(x,y) dydx

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Q: Find the inverse of g(x) = 7x+9. g(x) = (Simplify your answer.)

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Q: -> https://www.webassign.net/web/Student/Assignment-R000 %3D yP(x, y) dA 1. 1 2-2x (2y + 10xy + 4y²)...

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Q: Find the arc length of the graph of the function over the indicated interval. 3/2 y : x² !!

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Q: 3. Determine f(x) = x2 + x-2 is continuous on the given interval (-0,+0) (show graph and its table o...

A: Here, the given function is: f(x)=x2+x-2 And the given interval is (-∞,∞).

Q: DIRECTION: Solve the following problems in neat and orderly

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Q: 5. r(t) = (t°/3) i + (12/2) j, t>0 %3D 6. r(t) = (cos³ t) i + (sin³t) j, 0<t< a/2 %3D

A: This question is about finding vectors   k, b &amp; t   

Q: Compute the discriminant B(x, y) of the function. S(x, y) = x' + y* - 6x – 2y² + 1 (Express numbers ...

A: Given function f(x,y)=x3+y4-6x-2y2+1

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Q: A rectangular box with an open top is to be made from a 5-inch by 8-inch piece of cardboard by remov...

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Q: Ssin8 (3z) cos5 (3z) dz

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Q: x-intercept  (x,y)=           (smaller x-value)

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Q: Find the minimum and maximum values of the function f(x, y, z) = x² – yº – z® subject to the constra...

A: We have to find the minimum and maximum values.

Q: Evaluate the triple integral. x dV, where E is bounded by the paraboloid x = 8y2 + 8z2 and the plane...

A: Here, the given solid E is bounded by the parabolid x=8y2+8z2 and plane x=8

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at whic...

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Q: x' +4 a. lim X-4 x-2 %3D x² -1 b. lim- xl x' -1 Vx - Ja lim- с. х —а

A: topic - limits

Q: What is f' (x) when f(x) = 5e4x? %3D Select the correct answer below: O f'(x) = 5e4* O f'(x) = 20etr...

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Q: Find the equation of the tangent line to the curve y 2x cos x at the point (п, — 2т). The equation o...

A: We will find the equation of tangent line. 

Q: Given the differential equation y" + 5y' + 6y = &x² e=7x Determine the General Solution for the diff...

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Q: 6+ r Given f(x) = find f'(x) using the limit definition of the derivative. 7+1 f'(x)=

A: By limit definition of derivative f'(x)=limh→0f(x+h)-f(x)h       f'(x)    =limh→06+x+h7+x+h-6+x7+xh ...

Q: A rectangular box with an open top is to be made from a 16-inch by 21-inch piece of cardboard by rem...

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Q: Find the transition points. f(x) = x(3 – x)/3 (Use symbolic notation and fractions where needed. Giv...

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Q: A farmer has 1,700 feet of fence and wishes to build two identical rectangular enclosures, as in the...

A: Given query is to find the dimensions of the enclosure and the area.

Q: 7x-8 6x + 8 Let f(x) = and g(x) = %3D %3D 7

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Q: Given the function f(x) = x2/3, which of the following is a valid formula for the instantaneous rate...

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Q: Find the derivative of g(u) = square root of ((u+1)/(3u+2))

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Q: The Audubon Socety at Enormous State Univety (ESU) is planning a anmual und reng "Eatathon. The sode...

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Q: 2y (x+2)² dy dx'x² – 4 x – 4

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Q: a. Graph f(x) = 0, x= 3. b. Find lim f(x) and lim f(x). x-3 x-3+ c. Does lim f(x) exist? If so, what...

A: We have find graph and check limit exists yes or not, if exists the we have to find limit

Q: Plot the point (r, theta) = (6, 181) %3D Clear All Draw: Dot

A: we know that r= 6 will give a circle of radius 6 and center at originand angle θ varies from 0 to 36...

Q: yapi u a ruUI ID yivai. Use ue yrapi u u caui UI Ue IUIUwny. a. The numbers, if any, at which f has ...

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Q: EX:- Show that dw Vす 2. の ē" dw fcb)-VEerfa) %3D e dw ei

A: Using error function erf(f) . 

Q: csch (2 sin2x) dx 1. V1-4x² r(²-1)cos[cosh (In r)]dr OS 4.

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Q: y" - 9y' = 0 Determine the Characteristic Equation for the differential equation. (A R² – 8 = 0 B R2...

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Q: Rank the magnitudes of the directional derivatives in the directions of vectors a, b, c and d at poi...

A: We need to find order of vectors.

Q: 8.) C1-cose 1-05 do sin

A: Given that ∫1-cosθsinθdθSolution;∫1-cosθsinθdθ∫1sinθ-cosθsinθdθ∫cosecθ-cotθdθlncosecθ-cotθ-lnsinθ+c

Q: 4 Find the derivative of: – 9/x - Type your answer without fractional or negative exponents. Use sqr...

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Q: Determine whether the series converges. 1 Σ k + 9 k=1

A: The series is given as , ∑k=1∞1k+9 Determine whether the series converges.

Q: 7. sec2 x = 2tanx +4 8. tane = 2sine %3D

A: Note:- according to the company policy we can attempt only one question so please upload the next qu...

Q: A spherical balloon is inflating with helium at a rate of 128x ft / min. How fast is the balloon's r...

A: We have to find radius is increasing at a rate of and surface area is increase at arate 

Q: 5. f(x) = 2x² – x + 6 for all values of x 6. f(x) = 5 at x = 2 x-2

A: On solving this we will get