Explain why S is not a basis for R2. S = {(4, 3), (12, 9)} S is linearly dependent. O s does not span R2. S is linearly dependent and does not span R2.

Q: Given P(A^c-complement)=0.40, P(B) =0.40, P(AUB)=0.75, P(A)= 0.60, P(B^c)=0.75 Find P((AnB)^c)

A: Additional Law of Probability gives P( A ∪ B ) =P(A) + P(B) - P(A∩B)

Q: f an=3 and an+1= 1/(5-an)  How can you tell if it's monotonic?

A:

Q: Graph y = 3 – cOS T X over a one-period interval. State its period, the five key points. %3D

A:

Q: For the part circled in purple, is the +1/5y ^-4/5 supposed to be plus? I thought it was supposed to…

A: Given Equation             x15-y15=1Now differentiate with respect to x we get that As we know that…

Q: x* = x* (3 + 3 In x) 45.

A:

Q: -Expand fully and simplify, (3-x²)5

A: To expand fully and to simplify the following expression.3-x25

Q: Answer True or False

A: In the given question we have to check whether the following identity is true or false

Q: Evaluate funct 1-3)- 3- 3 436 7

A: given the graph of the function.

Q: True or false: If a,b,m are integers with m > 0 satisfying m|(a^2 − b^2), then m |(a −b). Justify…

A: Given Information: If a,b, and m are integers satisfying m|a2-b2. To check: m |(a −b) for any…

Q: Where does (x-3)/(x^2 -6x+9) have a removable discontinuity?

A:

Q: Why is (subtracting two positive numbers that are each less than 1), less than or equal to (1 minus…

A: Since r and s are both between 0 and 1  Then 1-r is positive and also 1+s is positive  Now , take…

Q: v7} Finel N do 3-2950

A: Steps

Q: Show the following for [im 11x|lp = 11x11.00 P-0 XER

A:

Q: Expand (x − 1)^5 using any method of choice

A:

Q: let f(x) = x^6 (x-7)^7/(x^2+7)^9 find the derivitive

A: The objective of this question is to find the derivative of the function f(x) = (x^6 * (x-7)^7) /…

Q: Prove that 4 does not divide n^2 + 2 ( n squared plus 2)

A: We will show that 4 does not divide n2+2 by method of contradiction i.e , we will assume to the…

Q: y =x*In x -x3

A:

Q: 9. Write in trigonometric form 4(V3 + i)

A: We will convert into trig form as following.

Q: Which is larger  2^100 or F100 with F representing a Fibonacci number? Prove which is larger.

A: Increment in each term in Fibonacci series = FnFn-1  Increment in each term in 2n series = 2

Q: 9) 2xy2 - (2xy)2 h) b?(b³)² +3b*(b²)2 – (b² - 2b)²b² (4x³y²z}* i)

A: We have to simplify the given expressions.