MY NOTES ASK ..... . Find the area of the parallelogram that has the given vectors as adjacent sides. Use a computer algebra system or a graphing utility to verify your result. u = i +j+k v = j+ k

Q: 6x? + 23 – 9 is F (æ) = a ln (Jæ + 3|) + b ln (Jæ|) + d ln (la- 1)+ C then which of the 3 + 2.x2 –…

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Q: (4x2+5x4) dx (x+1)(x²– 6x+34) 2 By method of partial fraction, the integral |- can be evaluated when…

A: To determine whether the given statement is True or False.By method of partial fraction, the…

Q: Integral test tô đéterm ner each of ne following series converges diverges 00 3 a) 2 2n2 + 1 b) E:…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of C if x=11 and y=5 ? (use…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) = What is the value of Cifx= 3-2x angle…

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Q: 1 Using the power series representation 5n with interval of convergence rE (-1,1), 1– 25 determine a…

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Q: Calculate the moments My and My and the center of mass of a lamina with the given density and shape.…

A: Let's find.

Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

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Q: The standard form of 3dy-xydx= 3y%e*/3 by Bernoull's equation is: dx A Зе dy xy = 3e**/3,3 dx 3 x-…

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Q: dæ Evaluate: A f (x) = -3 ln (|1 – V¤) + C B) None of the given choices f (x) = 3 ln (| V – 1|) +C f…

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Q: S¥×(2x³ + 1)dx 3,

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Q: Find the equations of the tangent line and the normal line to the graph of the equation at the…

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Q: 2.x +1 The antiderivative of f(x) = is (x – 3)² (x – 2) 2 7 +C 3 A F (x) = 5 ln 3 | 3 + 2 В F (x) =…

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Q: Which of the following is true? (A All for the above ® Stan (x)sec®(x)dx = tan (x), tan?(x) ,…

A: We have to evaluate the following integrals.

Q: Which of the following is true? A) All for the above ® Ssin°(x\cos*(x)dx = cos (x), cos°(x) cos1(x)…

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Q: Evaluate each of the following indefinite integrals: Show complete and detailed solutions. Express…

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Q: dx Evaluate: xVx? - XV x² +4 Vx² +4 – 4 (A 2 + C V x² +4 +4) Vx2 + 4 – 4 + C 1 B x² + 4 + 4 )

A: Given ∫dxxx2+4

Q: Insec (sin2y) dy Which of the following is one of the correct steps to evaluate the sec2y A…

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Q: xcos-(x) If x =0.77 and y = 0.86, then value of C in the antiderivative of F(x) = is (use radian…

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Q: x° cos (3x) dx X COS

A: Integral by parts:∫ uv dx =u∫ vdx -∫(dudx∫vdx) dxI=∫ x6 cos(3x) dxu=x6, dudx=6x5v=cos(3x), ∫ vdx…

Q: .... Choos

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Q: Find the exact coordinates of the stationary points of the function f(x) = e2-10e" + 12r and…

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Q: 2x +1 The antiderivative of f(x) is (x – 3) (x – 2) A F (x) = 5 ln x – 3 + C x – 3 7 x - 2 B None of…

A: Here we have to find the antiderivative of the given function f(x).

Q: The OT of the DE of the family of circles with center at the origin is (A) x= ky B xy= k x-y=k D)…

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Q: 15. x" + x = tan t; x=-(cost) In(sect + tant)

A: Given, x''+x=tant x=-costlnsec(t)+tan(t)x''=cos(t) ln(tan(t)+sec(t))+tan(t)

Q: dy When reduced to a linear DE of order one in z, the Bernoulli's equation +yl-)= 3x3y² becomes dx…

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Q: Verify that the function satisfies the three hypotheses of Rolle's theorem on the given interval.…

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Q: 2-/2x+1 Let F(x,y) = C be the antiderivative of f(x) =- What is the value of C if x=12 and y=9 ?…

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Q: 2, |-7- 8X-xT

A: Let's find.

Q: 3. Scscs dx

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Q: At 2:00 p.m. a car's speedometer reads 30 mi/h. At 2:10 p.m. it reads 50 mi/h. Show that at some…

A: Mean Value Theorem:If the function g(x) obeys the following.  g(x)  is continuous on the closed…

Q: B) Use separation of variable or homogenous equation to get the general solution for each…

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Q: Question 10 Evaluate: Jevdx.

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Q: Rewrite each function, differentiate, and then simplify (no negative exponents!) Function Rewrite…

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Q: Let (x,y) = Cbe the antiderivative of F(x) = x-cos(2x), Determine the value of Cif x = 79 andy= 71.…

A: We need to find value of C

Q: dx Evaluate: x/9x2 + 4 /9x² + 4+ 2 Af (x) = -2 ln| +C 3x V9x² + 4 + 2 In В f (x) = - +C 3x f (x) =…

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Q: The integral expression J xsin-(2x)dx can be evaluated using integration by parts of the form…

A: ∫ xsin22xdx=∫12x1-cos4xdx=12·∫ x1-cos4xdxUsing by parts,=12xx-14sin4x-∫…

Q: In tan"u du where n is any integer, we use the transformation for tan²u= sin²u cos?u

A: ∫(tan2u)du then put x=tan(u) then u=tan-1(x) and du=dxx2+1

Q: Using the miscellaneous substitution 2=tan match the integral expression on the left to its…

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Q: 00 1 Given the power series representation determine a power series representation for 1+ 7 n=0 In…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos"(x) for x = 0.205 and y =…

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Q: 3

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Q: O Ssin(3x)sin(4x)dx= fcOs O Jsin(3x)sin(4x)dx= [ cos(x) – cos(7x) 2 O Ssin(3x)cos(4x)dx = sin(7x) –…

A: Follow next step

Q: 1. A biker is 50 meters away from a pole. The biker starts to ride south parallel to the pole at a…

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Q: The definite integral (10+-2-3-ar+5)dx is equivalent to A 2 (at- 3r+ 5)de B 2(10-2-6r) ds…

A: LetI=∫-5510x5+x4-2x3-3x2-6x+5dxWe know that ∫-aax2n+1dx=0Apply the Sum Rule:…

Q: sech (Insinx) cotxdx=2tan-(sinx) +C A True В False

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Q: de Evaluate: A f (2) = -3 ln (|Va – 1|) +C ®f(x) = 3 ln (| V – 1|) + C B © f (2) = 3 In (|1 – V7) +C…

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Q: The integral expression Jxsin2(2x)dx can be evaluated using integration by parts of the form :UV-…

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Q: Which of the following is one of the correct/convenient steps to evaluate cot-+dx _which will yield…

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Q: To begin evaluating sin*x cos x dx , express 1- cos2x A sin*x to (sin?x) and use the identity sin?x=…

A: The integration of the integral is sin4xcos5x.