An expression that can be obtained from 4 sin 20 cos 20 + 13 sin 20 cos 20 cos 20

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A: Using cos(2x) =cos2 (x) - sin2 (x) 

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Q: 24. Which decimal digits occur as the final digit of a fourth power of an integer?

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A: Given data:

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Q: Find the exact area of the surface  z = 1 + 2x + 3y + 4y2, 1 ≤ x ≤ 9, 0 ≤ y ≤ 1.

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Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27 -F2...

Q: (cos(2x) – sin(2x)cos(2x)) cos(x) – sin(x) For -dx=-F(x) + C. What is F (x)? 3 A (csc(x) – sec(x))3 ...

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Q: dx - = In[F(x)]+C.What is F(/3) if C = 0? For (x+x³)(x Tan-'x+ 1) + Sl- SI- STE SE

A: I am attaching image so that you understand each and every step.

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Q: Show that the vector field A (3x?z + y?)a,+ 2xya, + x³a, is conservative. %3D

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Q: cos2x- sin2x cos2x dx =-F(x)+C: What is F(x)? For cosx-sinx 1 A (sinx- cosx -3 sinx + -cosx+ cosx+ -...

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Q: dx -= In[F(x)]+C What is F(3) if C = 0? For (x+x*) (x Tan-lx+1) 1 V3 3 R| |6 一3

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Q: What is the integrable form of sin-cos- sin0 do?

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Q: dx 14. Evaluate Зх — 12 A.ο В.1 00 D.0

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Q: cos2x – sin2x cos2x dr%3D 3 For -dx =-F(x) + C- What is F(x)? cosx – sinx (sinx – cosx) 2 2 sinx +-c...

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Q: In (rle) sec³x (2– sec²x)«ma/2)sec³x What should be the value of A for dx to be integrable using the...

A: we have to find the value of A. 

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the eract answers using the provide...

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Q: Which of the following is an improper integral? dx A 2x+8 cos (x)dx B -2 C -4x2-x-2 In(1+x*) dx -1

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Q: I. Solve the following: 1. Given: y 2x - Find: a.) dy/dx b.)y" 2. Given: 16y – 9x = 144, find y"

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Q: What is the integrable form of sin e) de? sin (A du 2 cos(u)du (©) -2 © -2/sin(u) du D) | - u² du

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Q: Find the area of the region bounded by the curve y=1-–x2 and the x-axis. O 6 square units O 4 square...

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Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: mydx = nxdy Ans. x" = cy"

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Q: Graph the given piecewise Function

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Q: e In (xle ) (2– sec²x) sec(3A – x) sec³x dr What should be the value of A for to be integrable using...

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Q: 10* -dx may be written as Aln secB*+ tanB*| +C. where A, B, and C are constants not equal to zero. E...

A: ∫10xcos 10xdx Substitute 10x=u⇒10xln 10 dx=du⇒10xdx=1ln 10du =∫1ln 10ducos u=1ln 10∫sec u du=1ln 10l...

Q: 3. Solve for x: (3)*+1 = V3

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Q: 21 Which of the following integrals is equal to the integral | s(3x - 5) dx? (A zp (2)/ 7/3 (B) s(:)...

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Q: Evaluate the triple integral V++dz dy dz. sb Init bnoos di dire nldeng

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Q: Find the area of the region bounded by the curve y2 = 4x and the lines x = 1 and x = 4

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Q: b x" +xP + C. What is the value of the sum a d The general antiderivative of (3x2 – 4) 2x2 can be wr...

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Q: esecx+ln tanx 9. cos x

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Q: 6) yo Do° (7C +2)"

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Q: Find the area of the region bounded by the curve y=1–÷x² and the x-axis. 9 A 4 square units (B 6 squ...

A: SOLUTION-

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A: We know that power rule of integration is given as-  Integration of xn is xn+1/n+1.     Here i attac...