Tutorial Exercise Evaluate the integral. [test ot dt

Q: e A = 2T -00

A: The solution is given as

Q: The data are: Subject Starting SBP Ending SBP 1 140 128 2 130 125 3 150 140 4 160 162 135 137 128…

A: Paired t test is used to test whether the mean difference between two groups is zero. That is ,…

Q: (2x² – 4 = {x + 2 x 5 x 2 5 7 is discontinuous.

A: For x=2 , Taking LHL , LHL=limx→2-2x2-4=limh→022-h2-4=8-4=4 Taking RHL , RHL=limx→2+ x+2=limh→0…

Q: look at attachment need for reference

A:

Q: A popular theory is that presidential candidates have an advantage if they are taller than their…

A: b. The 99% CI for the differences in population means is to be calculated. It is given by-…

Q: Differentiate

A: Given,          ft=tan2tcost

Q: y = (r² + 4r) e"

A: given question is solved with the help of product rule of differentiation    i.e. (f.g)' = f*g'+…

Q: Consider the series defined as follows: n+1 sin n n=1 Determine if the Alternating Series Test can…

A: Sol :-Given  ∑n=1∞ (-1)n+1n Sin nπ2             an = (-1)n+1n Sin nπ2                   =(-1)n+1×1n×…

Q: cos X y = sin x +cosX

A:

Q: 17. f(w) = 1 + sec w 1 - sec w 18. y y = sin t 1 + tan t

A:

Q: Find lim (1+ I-X 4 T

A:

Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

Q: 4 cos () dx 10. x³ sin3

A:

Q: Evaluate the integral R (x + y) dA where R = {(x, y) |2 < x² + y² < 5, y < 0}.

A:

Q: 2. CG X It otx

A:

Q: У 3 и(а соs y

A: Given:    y = ua cos u + b cot u

Q: T sin x – cos x dx

A: Given data: The given integral is I=∫0πsinx-cosxdx. The given integral can be written as,…

Q: Show that the proposition ((p → q) ^ (q → r)) → (p –→r) is a tautology.

A: NOTE: According to guideline answer of first question can be given, for other please ask in a…

Q: Let A = - where a €R is a constant. For every possible value of a: (i) Find a basis for Col(A). (ii)…

A: The given matrix, where is constant.The aim is to find the basis for  and find the rank of .

Q: 12x₁ +5x₂ + x3 = 3 5) -12x, -2x₂-xz = 0 X3 8x + 2x₂+2x3 = 3

A: We have given a system of equations and we have to find the solution using Cramer's Rule.

Q: Evaluate the given integral by changing to polar coordinates. cos V x2 + y2 ) dA, where D is the…

A:

Q: Differentiate

A: Find the derivative for the given f(Ѳ)

Q: Find a 3 x 3 symmetric matrix A that has eigenvalues -1 and 2 and eigenspaces E-1 = span{(1,1,0)}…

A: A matrix has eigenvalues -1 and 2 and eigenspaces .To Find:A matrix  symmetric matrix.

Q: Is the integral operator a linear operator?   Can you give an example and explain why?

A: We need to determine whether the integral operator is linear or not. For that , let  L be linear…