If x¹ Ax > 0 for some x, then the quadratic form x¹ Ax is positive definite.

Q: sinx dx 7+cos?x 1 arctan /7 (COSX V7

A:

Q: The mean annual household income in Region I is 258,000. In a sample of 40 families taken at various…

A: Given: Sample size, n=40 Sample mean,x¯=230000sample sd,s=6851

Q: The set of points {(x, y, z) | x² + y² = 2x} is a circle of radius 1. OTrue O False

A:

Q: If E, F, and G are events in a probability space and P(E) > P(F) and P(G) 7 0 then P(E\G) > P(F|G).

A: Conditional probability means probability of one event that depends on another event.  If A and B…

Q: If (a, b) is a local maximum of f, then D, f(a, b) = 0 for any unit vector u e R?. True False

A: Question: if (a,b) is a local maximum of f, then Du→f(a,b)=0 for any unit vector u→∈R2.

Q: Let f be a measurable function ,then |f| is measurable. ylgn O ihi O

A: True

Q: It is a known fact that 50% of all Americans are male. A researcher wants to see if the percent of…

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Q: An odd piecewise continuous function f(x) on every finite 00 interval of (-0, x) such that \f(x)|…

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Q: QUESTION 11 Let f:X-Y be a continuous function. If X is disconnected then so is f(X). O True O False

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Q: For the following frequency distribution table, determine if this statement is True or False. More…

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Q: If the profit on a raffle ticket has an expected value of -$5, then the most likely outcome of…

A: Given that - If the profit on a raffle ticket has an expected value of -$5, then the most likely…

Q: "p → (q → ) The output of the sixth row in the given below truth table is p -p → (q → ) T F T F F F…

A: The given question is

Q: An instructor calculated the average score and the sample standard deviations of the scores of his…

A: The given grading scheme is as follows. A At least 2 standard deviations above the mean B…

Q: True/False: Two graphs that have the same degree sequence must be isomorphic. True False

A:

Q: If A is a square matrix such that A = A1, then A must be equal to either the identity matrix I or…

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Q: If F is a vector field, and C' is an oriented piecewise smooth curve consisting of smooth curves C1…

A: Given: To find: Whether the given statement is true or false.

Q: By the Existence and Uniqueness Theorem, there exists a unique solution m(l) for the DE dm dl for…

A:

Q: If a > 0 and b>0, then ln(a + b) = ln a + lnb.

A: We will use the properties of logarithm to determine whether the given statement is true or false

Q: If a plane region R located in the first quadrant is revolved about the x-axis, then the measure of…

A: False.

Q: Let F be the vector space of infinitely differentiable functions from R to R. If three functions…

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Q: 16. 17. matrix. The columns of a 3 x 3 orthogonal matrix form an orthonormal basis for R³. A nonzero…

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Q: x+1 on R The series does not converge uniformly n=1

A: Consider the given expression, S=∑n=1∞x+1n Now, apply the ratio test.…

Q: When internal validity is high, external validity is always high. True False

A: Step1

Q: (p → q) ^ (-p –) The output of the fifth row in the given below truth table is q) ^ (-p → ) T T F T…

A:

Q: _4. In a normal distribution, the mean divides the area in half--- 0.5000 on each side. 5. The width…

A: 4 TRUE The normal distribution is symmetric distribution. The area under the normal curve is 1.0,…

Q: (-p→¬q) + (q →) The output of seventh row in the given below truth table is |(-p→¬q) → (q+ F F T T F…

A: Compounds statements are statements made out of one or more statements connected together using…

Q: L{t*sinht}= 2s/(s-1)

A: