Given vector u (4, –1) and v = (-1, –5) , determine the value of v + 2u in component form.

Q: Given that a 512 · x2 . sin(8 · x) dx = r – 2, - calculate the value of a. a = (No answer given) +

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Q: Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane. You must suppo...

A: Given problem:- Explain why the three points (2,3,-1), (8,5-5) and (-1,2,1) do NOT determine a plane...

Q: Given vector u (-1, 5) and v = (5, 3) , determine the value of 2u – 2v in component form.

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Q: Find the indicated partial derivatives of: 2х — 2у - f(x, y) = 2х + 2y at the point (x, y) = (1,3). ...

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Q: Find the area of the region that lies inside both r=cos(theta), and r=sin(theta)

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Q: 1. 3y4 + 2xy = 4

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Q: ÔM In the differential equation (y² – x² – 4x–1dy+2y(x+y+2)dx= 0, ду

A: COMPARE THIS EQUATION TO STANDARD DIFFRENTIAL EQUATION.

Q: Determine whether the planes are parallel or identical. -6x + 4y – 9z = 5 18x - 12y + 27z = 14 O The...

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Q: 4. lim sin2ß B-0 sin3ß

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Q: csc inx-2 dx x (csc In x+1)

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Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3, -1...

A: Graph of f' on the interval -3,2 is given.f'<0 for -3,-2f'>0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: (A) Estimate the area under the graph of 5 f(æ) = - from x = 1 to x = 6 using 5 approximating rectan...

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Q: Find the dimensions of the closed right circular cylindrical can of smallest surface area whose volu...

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Q: Use an addition or subtraction formula to find the exact value. 1. sin15° 2. cos 12 3. tan 75°

A: 1.Sin15o sin(15°)=sin(45°-30°)              =sin(45°)cos(30°)-cos(45°)sin(30°)   {sin(x-y)=sin(x)cos...

Q: A. Evaluate the following integrals: 1. sin 'xcos x dx

A: Given: I=∫sin7xcosxdx   ....(1)   We know that; The Power rule: ∫xndx=xn+1n+1+C ; n≠-1

Q: What value of K will make the lines 2x + 3y -2= 0 and -6x + Ky= 3 perpendicular? Parallel?

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /...

A: A detailed solution is given below

Q: Consider the following. u = (5, 5), v = (2, 4) %3! %3D (a) Find the projection ofu onto v. (b) Find ...

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Q: 2. Show that, in the region D: 0 < x<1, 0 <y< x², the following double integral 1 dA =- In(2) x5 + 1...

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Q: Consider the following. u = 5i + 3j, v= 2i + 4j (a) Find the projection of u onto v. 44 88 20 20- (b...

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Q: Find the area of the parallelogram that has u = i – 2j + 2k and v = 2j + k as adjacent sides. NOTE: ...

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Q: Evalwate the Integral Sin (x" +y2) dydx

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Q: A cylindrical can is to be made to hold 1.5 liters of oil. Find the dimensions that will minimize th...

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Q: In the differential equation (v² – x² – 4x – 1dy+ 2y(x+y+2)dx= 0, ©M _ ÔN ôy Ox

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers a...

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Q: belore it becomes the cheaper alternative. 3. Cost of Solar Panels Suppose the average cost of elect...

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Q: Find the Maclaurin series for the function f(x) : = x 7* and choose the correct answer from the foll...

A: The given function is f(x)=x7x.

Q: Determination of integrating factors: 2y{r² - y + xkdx + (x° – 2y kty = 0

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Q: sec? 5x dx

A: Given query is to find the integral .

Q: Use vectors to find the lengths of the diagonals of the parallelogram that has i + j and i – 10j as ...

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Q: Implicit Differentiation. dy There is need to simplify. da Use implicit differentiation to find a. c...

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Q: fcos cos² xdx 2.

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Q: In constructing an open rectangular box from 1323 ft of material, what dimensions will result in a b...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: 5. Show that, in the region bounded by y = Vx and y = x2 the following double integral 3 (х + у) dA ...

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Q: sin' 0 cos 0 d0

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Q: To prove quotient rule formula using the definition of derivative or limits, let the function f(x) =...

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Q: The line that passes through the point (4, –2, 0) and parallel to the vector (1, 2, –3) has symmetri...

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Q: The correct value of -dr is equal to 3-x O A. О В. - 23 O C. Since the integral converges to 2/3, no...

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Q: A sector with central angle ? is removed from a circle with radius 12 inches. The  edges of the rema...

A: To find the value of central angle at which volume of cone becomes maximum.

Q: 8. lim xcot3x

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Q: By trigonometric substitution 3.x -x+1 (x+1)(x² +2x +2)

A: To find out integration. 

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: Consider the points A(3, –2,3), B(4, –4, 1), C(-2, –3, 1), and D(5, 3, –4). |(a) Find the volume of ...

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Q: 7. What is y' of the function y = arcsin V1-x |? Assume 0 <x < 1. C) y'=- Vx-. A) y'=-- B) y'= - D) ...

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the given ...

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Q: sin x dx

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Q: 5. f(x) = [(x+ 5)5 – 1]ª 6. f(x) = cot (6x³ + 5) 7. f(x) = sin(e³*)

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Q: Home wurk f ind Jw du f ur the following ノ au d fuuctivus : + e -1 X +y 2- X . tan ニ メャツ w : csc ( X...

A: Use partial derivative