a) Let A = 1²21 0 " find A-¹, (A-¹) and (AT)-¹. Is (A-¹)T = (AT)−¹?

Q: | 4z(z* + 1)* dz Calculate: 0.

A:

Q: Differentiate. y= In [(x + 4)(5x– 6)(3 – x)] d dy In ((x+ 4)(5x – 6)(3–x))) = |

A: Given: To find: The derivative of the given function.

Q: Evaluode Lim [x]+[2x ]+ n2

A: We know that, x-1<x≤x Therefore, 2x-1<2x≤2x ⇒3x-1<3x≤3x . . . ⇒nx-1<nx≤nx ∴ (x + 2x + 3x…

Q: 3. (2 + ln x)³ √ (2+1) X A. (2 + ln x) 4 +C -dx C. (2 + Inx)³ + C 4 {1tinx? Syn (2+1mx) +C 20 B. (2…

A: We can solve the integral using substitution method. Here we substitute 2+lnx by z and then apply…

Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

A:

Q: = [ (2³) 26¹ +4 dx Evaluate = +C

A:

Q: Calculate 10T OA. -32/3T O B.-2/3 T Oc.-16 7 C.-16 T OD.-16/37 O E. None of these

A: The solution for the asked question is given as

Q: 6х —9 4.) dx 22— 3х +2

A:

Q: 13 5x³ y³ • 2 12 x yt

A: Given:2. 5x23y45 . 2x13 y253. 2a12b236

Q: Q6.31 Look at the directional fields of phase planes below. Draw a line to match each phase plane…

A: A. Here for the given system ,eigenvalues of  are  ,complex with only imaginary part.Hence…

Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

A:

Q: If y = ((5z² + 8z)³ – 5-)°, then dy/dr is:

A:

Q: 4т f tan tan 9.

A: tan-1tan(x)= x hence tan-1tan-4π9= -4π9

Q: Sx°e*dx =(_)-e* + c,

A:

Q: Solve for t in B=Numerator x+y over the denominator t+z

A: The given equation is,