х2 — х — 2 lim х-2 х2 + х — 6 1. О 1 2. О 4/5 3. О 3/5 4. О 2/5

Q: 1) sin 9) tan-1 (-V3) 11) sin- 2

A: Given! 7)sin-1(-1/2) 9) tan-1(-√3) 11) sin-1(-√2/2). Repost the next parts.

Q: How do I simplify (9-sin(x))(4-3cos(x))-(9cos(x))(3sin(x))

A: Given that: (9-sinx)(4-3cosx)-(9cosx)(3sinx)

Q: Differentiate y ' 1+ 1 ਕਲਿਜਲ z+Vi+va 1+

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Q: 3 S² x³ cos x ²dx 6.

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Q: On the graph of f(x) = tan x and the interval [-, ), for what value of x does f(x) = 1? Choose the…

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Q: B. Find L{f (t)} using the appropriate formula. Note: a, b, and n are constants. 1. f(1)=(r* -3)' 2.…

A: Given f(t)=eat-2btf(t)=e(a-2b)t

Q: Determine intervals in which solutions are sure to exist (x − 1)y(¹) + (x + 1)y” + (-)y=0

A: (.)  Given differential equation is ,        (.)  Existence Theorem:  Consider an  order linear…

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A: Given, we know that any non zero number with zero exponent is always 1

Q: * What is the absolute value of 3 - 6i 40 O ✓ 45 20 45 * For z = 3 + 3 i, find z^ 2 in exponential…

A: To find absolute value of given complex number.

Q: Apply Theorems 5 and 6 to find general solutions of the dif- ferential equations given in Problems…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Setting x= cos or cosho show that Tn(x)==[(x + √X²_₁ )² + (x-√x ²₁ ²]

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Q: Suppose Find a.

A: X~B(30,0.21) to find q

Q: Match each expression with the appropriate formula that would be used for simplification. sin 8x +…

A: Solution:-

Q: 7. If y == f(x²), ƒ' (4) = 3, ƒ (4) = 12, then y′(2) = a. 0 8. If y=x then y' (4) = a. 2√2 2 + In 2…

A: Firstly use differentiation property both side

Q: Determine L{"e3r cos(t-7)dr} 0 Select one: (8+3)(82+1) 8 (8+3)(82-1) 8 (8-3)(82+1) 8 (8-3)(82-1)

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Q: Solve

A: Accordingly match the option from answers.

Q: (1 + cos-1 (5x))³ = O A. O B. O C. O D. O E. -15(1+cos-¹ (5x))2 √(1-25x²) -15(1+cos-¹ (5x))2 1+5x2)…

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Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

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Q: solve (c) (})* - (-3)* (e) (-5)² - (6)° «17. (а)-2 (b) (-2)* 18. (а) (-5)° (b) -5

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Q: 1+a Simplify 2+2a 2-2Va l-a

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Q: 6. Solve 6. Solve (a) 4x + 3y = 28 2x + 5y = 42 the system Ax = d by matrix inversion, where (b) 4x1…

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Q: lim (x,y)→(3,2) x cos Ty = O 3 O 2 O 1 O 4

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Q: The intervals where the function f(z)-z2 + 10r +8 is increasing or decreasing is O increasing in…

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Q: d a second solution of the ODE: (x² +1)y"-2xy' +2y=0, if y₁ = x is a solution of the ODE. · el-pdx…

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Q: cos( 2 cos (x/ 12)) = Select one: O None O 24 x / ( 144 + x²) O 2x ( 144 - x² )º.5 / ( 2x² - 144 )…

A: Given cos(2cos-1(x/12))We know that 2cos-1(u)=cos-1(2u2-1)Here upon comparing u=x12

Q: 5) limx° 2x tan an)

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Q: Please solve for (d) as the solution (c)

A: Givena limit To find:Evaluate the limit

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Q: du / (1 - e")2

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Q: Which of the following is the exponential function of the form f(x)3 ab* containing the points…

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Q: 12. The value of c that satisfy the mean value theorem for f(x)= a. √√3-1 b. 1 c. √3 C. x-1 on [-2,…

A: