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Q: Solve for w where u = (0, 1, 1, –1) and v = (3, 0, –1, 2). %3D w + 2v = -4u W =

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Q: If P(A) = 0.5, P(B)= 0.40 and P(A U B) = 0.70, find P(A/B) and P(A U B) where A is the complement of…

A: HERE GIVEN, p(A) = 0.5 p(B) = 0.40 p(A ∪ B) = 0.70

Q: Make r the subject 1/r = 1/r1+1/r2

A: Given that  Make r the subject 1/r = 1/r1+1/r2

Q: Let ā = (2, 3, – 2) and b = (4, 2, – 2). - Find a · 6.

A: The dot product of two vectors is calculated as follows: a→·b→=xi^+yj^+zk^·ai^+bj^+ck^=ax+by+cz

Q: Let w(x, y, z) = √x2 + y2 + z² where x = -8ret, y = 2te' & z = ert. дw dw Әх ду дz Әх ду Oz Ər Ət ar…

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Q: |u| = |v| is equivalent to u =. or u =

A: Given that u=v Recall that the absolute value sign gives the positive output for both positive and…

Q: (g) F(x)= √√x for 0 < x < 1 and F-¹(x) = x², so X = U² (h) E(et(a+bX)) = E(eªt ebtX) = eªt Mx (bt)…

A: In this question, we are presented with three proof excerpts related to mathematical statistics.…

Q: Let i = (– 3, - 2, 3) and i = (1, – 6, – 7). Compute the following: i xü = i x ủ u X u =

A: Since you have asked a question with multiple parts in a single request, we would be answering only…

Q: The basic variables of a solution to the transportation problem with the costs as shown below are…

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Q: Substitute x = u?/5 °, y = 3, andn = 5 into the formula for (x + y)". ) + sC2 (u?7s)° (3}² + sC3…

A: For Crn=n!(n-r)!·r! here n!=1×2×3××...×(n-1)×n

Q: random variables X and Y have a joint probability density function given by , y) = way, 0 < x < 3…

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Q: If A+B=X and A-B=Y then...?

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A: Given:We have given a composite sectionTo find:centroid of the sectionThe centroid is given by, with…

Q: 7. (50 u) du + (3v - 7u) dv 0. ANS. (3v +u) = c(v u).

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Q: 2. Let T=

A: Given that, T=22-1-163201 We have to find adjoint T.

Q: 1 5 ]v s or fractions.) W = - 3 0

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Q: Evaluate Conditions. pum テ=(6)V:s「(4s te return

A: In 2 quadrant sinx and cosecx is positive. Otherwise, all other trigonometric values are negative.

Q: If 7-4/3 = Vx-Vy, determine the values of x and y. %3D

A: We have to find the values of x and y from the above expression.

Q: d. Use your work in (a)-(c) to evaluate the indefinite integral f sin³(x) dx. e. Use a similar…

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Q: Let å = (2,0, – 3) and b = (0, 1, 5). Find b x a.

A: Given query is to find indicated vector.

Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

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Q: Prove Equationally that A, B H A = B.

A: Given:                       A, B ⊢ A≡B To do: Prove the given statement equationally.

Q: .. Let X, Y, Z be random variables each having a mean µ and variance o². rurther, let Cov(X, Y) = 2,…

A: In question, Given that X, Y, Z are three random variables with mean mu and variance sigma^2. And…

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.