Given that A = (1,0,2) and B = (6, -2,3), solve for projąB.

Q: 1 2. (33.6) Use the building block > a", |r| < 1, to find a power series representation 1–x n=0 for…

A: Solve the following

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Q: 4 S* (2x -6)° dx= S f(uldu where du = a 6 = f(u)= The valve of the original integral is

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Q: In solving the antiderivative of (x)= sin(x) + 3cos(x) + 3 by miscellaneous substitution, the…

A: The given function,        fx=1sinx+3cosx+3

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Q: 1 In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution z =tan|…

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Q: 13. Find dy/dx of y = xnx

A: According to Bartleby's guidelines we can solve only 1 question at a time. Here's the solution of…

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Q: Compute the work required to stretch a spring from 4 to 12 cm past equilibrium, assuming that the…

A: the equation to find workdone is; workdone =(1/2)kx^2   given,  stretching the string from 4 to 12…

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Q: Determine a region whose area is equal to the given limit. Do not evaluate the limit. 11 lim 3 + n-…

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Q: Question 8 If limx→a J(X): |8(x) lim;-»a [f(x)] = = 1 and limx→a g(x) : = o then, we must have %3D…

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Q: Find all relative extrema of the function. Use the Second Derivative Test where applicable. (If an…

A: Considerf(x)=x+25xf'(x)=0⇒1-25x2=0⇒x2-25=0⇒x=±5critical points are x=-5, 5

Q: If a rock is dropped from a height of 290 ft, its poistion t seconds after it is dropped until it…

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Q: 15х2—х3— 43х — 19 Ax + B C The integral /- D + rx +s -dx can be rewritten as dx. (x+1)2(x²– 6x + 13)…

A: The integral ∫15x2-x3-43x-19x+12x2-6x+13 dx can be written as ∫Ax+Bax2+bx+c+Cmx+nt+Drx+s dx.To…

Q: Find the derivative of the function. y = 3 x tanh-1 x + 3 In/1 - x2 y' =

A: Product Rule of Differentiation : d(u.v)dx = u.dvdx+dudx.v

Q: 2. S tan*, dr 2

A: (2). Given: I=∫tan4r2dr   ....(1)   As we know from the trigonometric identity; sec2x=tan2x+1 The…

Q: и + Use the ratio test to determine whether > converges or diverges. п! n=12 (a) Find the ratio of…

A: Here, the given series is: ∑n=12∞n+5n! Let, an=n+5n!; n≥12

Q: Find the general solution of the differential equation. y(4) – 6y(3) + 9y'" = 0 ... y(x) =

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Q: S x² +x+1 dx. 2 +2+x³+x 3. 2x

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Q: y(z – 2x)100 = y – xz; Xy and yz. |

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Q: -is F (x) xỉ (9x“ – 10) where "a" is equal to The antiderivative of f (x): 30 A 12 6. 1 D None of…

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Q: 1 () In solving the antiderivative of f(x) = 2 - 3sin(x) by miscellaneous substitution, the…

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Q: The issue of convergence or divergence of some series can be answered by several different…

A: NOTE:- AS PER BARTLEBY GUIDELINES, WE WILL ANSWER ONLY FIRST THREE PART OF THE QUESTIONS.

Q: S sec?x csc²xdx O None of the choices tanx + cotx + C O - tanx + cotx + C O - tanx - cotx + C O O

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Q: Eveleate inter ssin(2x) dx

A: We can find the integration as below.

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Q: Determine the general cquation of the plane 2 passing through the point P(1,-4,-5) and parallel to…

A: We have to find equation of ohm plane

Q: 1) Ifféx) =x + 5 and g(x) = x² -3, then find g(Ư(0) . 2) Iffés) = secx, and g(x) = L, then find…

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Q: dx %3D = 7 in the expression for ap and simplify. Substitute dt dt x + 5sin 5x(cos 5x) dx dD dt Vx +…

A: Here we have to substitute the given derivative.

Q: The graph of f is shown. Apply Rolle's Theorem and find all values of c such that f(c) = 0 at some…

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Q: After watching the Section 9.10 vidco, solve the following problen. Make sure that you show all…

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Q: 33 2Vx- f(x) = T sin sin 2x + Ve2x + 2x – In e, x + 1 - 1-x (1–3t)5(t³-8) alt) t # 2

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Q: Describe the graph of the equation. r = 9cos ti – 19sin t j + k O An ellipse in the plane z = 1,…

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Q: 5xy = 4x²z – 3yz²; yx and yz- %3D Z.

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Q: Let f(x) = V53 - a The slope of the tangent line to the graph of f(x) at the point (4, 7) is The…

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Q: evaluate intel9a) Evaluate intelga

A: Use property of integral.

Q: Find the general solution of the differential equation. 121y(3) + 132y" + 36y' = 0

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Q: B. f is not continuous at x =a C. f has a relative maximum at x = a D. f is continuous but not…

A: Here, we have given a function now we have to calculate the points where the function has point of…

Q: Work Problem 1 (With integrity statement] Let R be the region bounded by yx+ 2, y=0, und x=2. Draw…

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Q: 18) From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides…

A: let "x" be the height of square corners which are cut outso, Box has length =40-2x, width =40-2x ,…

Q: In solving the antiderivative of f(x) = by miscellaneous substitution, the substitution 2=tan 5…

A: Solve the following

Q: Consider / sin'x cos²x dx. jf we let " =cos x , the integrand can be transformed to , O J(- 2u?- u*…

A: The given integral,    ∫sin5x cos2x dx

Q: In solving the antiderivative of f(x) = cos(x) 1- cos(x) by miscellaneous substitution, the…

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Q: find s dx 1-C052X Scotcxldx

A: First solve then integrate

Q: a* (9x" – 10) | The antiderivative of f (x) = - is F (x) where "a" is equal to %3D 30 A 4 В 1 12 1 D…

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