A multiple choice test has 12 questions each of which has 5 possible answers, only one of which is correct. If Judy, who forgot to study for the test, guesses on all questions, what is the probability that she will answer exactly 3 questions correctly? O A) 0.764 O B) 0.00800 O C) 0.236 D) 0.283

Q: 2 27. (25) 3 - + 2 3 + 1 2

A:

Q: 14. L1+ 2t- 3

A: Given The given expression is  Apply Laplace transform formula.

Q: 4. 1+x+x* dx 1+x2 34.

A:

Q: x - 3 2- y 2. 7- 2x 4. 3 2.

A:

Q: 10. (x² – 2y)³ 3

A: Given,          x2-2y3

Q: 60 27 2. + $6

A:

Q: 1. O O O O lim (In(x))* ? 5.

A: Consider the given expression. y=limx→0+lnxxx Take ln on both sides of the equation.…

Q: 5-x-3 > 3 4.

A:

Q: xp xペ-4xt13

A:

Q: 7. Use your graph to estimate how the scale factor changes between a box with volume of 1 cubic foot…

A:

Q: 3) %3D 2.

A: Two dimensional wave equation , by using separation of method

Q: 1. ²-4 Difference of squares

A:

Q: 6. X-4 >2 X+3

A:

Q: k2. 7k + 10 k2. 3k k2 + Sk + 15 k2 - 4k - 12

A: Given; 1. [(K2+7k+10).(k2+3k)]/[(k2+8k+15)(k2-4k-12)] 2. 7/(x-2) - 5/(2-x).

Q: 20 9.

A:

Q: 8. 2x + 21 < 11

A: Solve inequality

Q: (c) Give an orthonormal basis for Span {x₁, X2, X3}.

A:

Q: Which graph represents the following ellipse (z+1)ª + 16 (v-3)° 36 = 1?

A:

Q: 4 y = -x-8 8. (14,-16)

A: Given equation is y = (4/7)x - 8

Q: (b) Give an orthogonal basis for Span {X₁, X₂, X3}.

A:

Q: 8. 2 k=1 3k

A:

Q: Simplify. 7/16-V54

A:

Q: 1 3. s'+3s²

A: We have to find Laplace inverse by convolution theorem.

Q: For the following equation, determine the values of the missing entries. Reduce all fractions to…

A: given x=y2 complete the table as follows

Q: 2. tox²Sc.

A:

Q: 7.2-2

A: Given:   x y 644 623 493 472 532 492 462 661 565 540   502   549   518

Q: 214 8.

A:

Q: 5. E1009 i-2n – 2 E7000 i¬n

A: ∑n=11009i-2n=∑n=11009-1-n          =∑n=11008-1-n+-1-1009          =-1+1-1+1...+1+-1-1009…

Q: . n &gt; 5 only if n &gt; 7.

A: Given that n&gt;5 only if n&gt;7

Q: 4. 4 x+3 x-3 x2 -9

A:

Q: 1 -3 -27 A =| -2 7 -2 5. 54

A: The given matrix is: A=1-3-2-275-254 Find the inverse of the matrix: Formula: A-1=1AAdj A, where Adj…

Q: - [B 3. A = 935 14 -2

A:

Q: 2. Ꮖ2 ds Ꮭ Ꮖ1 Ꮖ

A: The integral is: ∫x1x2dsx. To Do: We have to evaluate this integral.

Q: 1 (-7)2 dx r(x-7)2 6.

A: Given,  ∫1xx-72dx

Q: 7. (2x + y)³

A:

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.