15) Given: AABC, XY || AC. Find the value of YC. в 9 27 Y 7 A

Q: x2 Evaluate : p.v J_∞ (x2+3)² dx

A: The integrals can be solved using the indefinite integrals. The limits for the infinite values can…

Q: S [= sinºxcos³xdx is equal to 16″ 105 2 63 2π 63 Evaluate: A B C D E 16 105 None

A: SOLUTION-

Q: 1. sin R = 2. sin T = 36 15 3. cos R = 4. cos T = R. 5. tan R = 6. tan T = %3D

A: We are solving the first question and for the next question post the question again and also mention…

Q: b) %3D Difleventiating both sides writ sc on dy %3D doc Applying chain rule; dy d. du du doc de U =…

A:

Q: 4m+3m? 5.) x = 21+m? required:a) xand x"

A:

Q: Find f"-1) if f3) = (3x + 1)° . %3D O a) 9 O b) -27 c) 36 O d) -9

A: Given function is f(x)=y = (3x+1)3  We have to find f'(-1)

Q: Name a secant. B. DF 2 回 [B] SY lal 32 [v] A

A: In geometry, a secant of a curve is a line that intersects the curve at a minimum of two…

Q: -3 2. Evaluate: V12-피 + z dar 0,

A:

Q: flx)= X tah? (X) C 2. f"G) こ

A: We have to use the quotient rule , so we assume u and v and find u' and v'

Q: 14. Given: nLw, nil; AB DE;Cs the midpoint of AE and BD Prove:A4BC 2 AEDC

A:

Q: 5. Differentiate using quotient rule: x+2 y x-2

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Q: ダ= secx Ptove that +イ=243

A: We can solve the problem by the properties of trigonometry.

Q: Evaluate: s x 5 √ x² + 4 dx =

A:

Q: Q2: Evaluate the following b) fe-x³ dx

A:

Q: dz If z = w", then is equal to: dw 7x7 w(1 – 49z8 In w) 7z'w7z²-1 7z8 w(1 – 49z7 In w)

A: topic - derivatives

Q: find x, y € Z such that 2261x + 1275y = gcd(2261,1275).

A: we want to find the greatest common factor  we will use Euclid's algorithm 2261=1275×1+986 -----1)…

Q: e2x dx Evaluate: 9-4e4

A:

Q: BE NEAT. (1) USE THE APPROPRIATE TRIG. SUBSTITUTION TO INTEGRATE : BE HONEST. S√x2-9 NTEGRAL:

A: Step 1:Solution-Step 2: Step 3: Step 4:

Q: dx Evaluate X +3x +2 Hint: Use U=Vx

A: the given integral is: we have to evaluate the given integral.

Q: Evaluate (z° + 6) dæ (z³+6)® +c А. 18 (z³+6)° В. +c (x³+6)* 16 С. z18 + 2x15 + c

A: topic - indefinite integral

Q: The relationship between x and y, where the purchase price of a good is x and the selling price is…

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Q: 18. Evaluate using u-substitution: S dx 1+x10 2x9

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Q: dz, C:z| = n. %3D 2++13z2+36

A:

Q: Let a = (x + y)i + 2j + yk and b = 3i+ (4.x + y + 1)j + 4k. Find values of x and y such that a l b.…

A: Givena=(x+y)i+2j+ykb=3i+(4x+y+1)j+4k

Q: Evaluate: dz, where e is a cirele 121=1 and

A:

Q: 9.) S -1 3x²+2x +0 x + 2 da

A: I=∫−11(3x2+2x+1x+2)dx

Q: 3 2 1 0 1 (x+y) ³ dxdy

A:

Q: In the figure below, n II j. Find the values of y and z. 68° $ (3z + 8)°

A: Solving the problem by finding the value of y and z

Q: 5.) Evaluate (x² + y² + x)dA where R= {(x,y)|1<x² + y² <4, x 2 0, y2 0}. %3D R

A: Area of the bounded region is A=21+(255 π/8)

Q: (z-1)²sin (dz (2-1) C:\z + 11 = 1

A: