Question 1 Suppose a card is drawn from a deck of cards. What is the probability that card is a re O1/2 O 1/26 O 1/52 1/13 Question 2 How many cards in a standard deck are red face cards? O12 052 90 MAR F2 F3 O00 000 FA

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A: This is a problem of differential Geometry.

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Q: c) With random guessing, show that the probability of getting at least one question wrong is 0.999.

A: Given:Show that the probability of getting at least one questionwrong is approximately 0.999.   

Q: In right triangle ABC, sin B 2r 0.72 and cos C = 3x-0.98. Solve for x. A - 0.26 B0.26 CO.36 D - 0.36

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Q: 2. Use the Binomial Theorem to expand (3x – 2)6

A: We have to expand the given problem by binomial theorem.

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Q: Consider the following example • Maximize z = subject to 5х, + 6х2 4x, + 6х, < 36 X1 + 5x2 < 25 6x1 ...

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Q: Direction Analyze the indicated figure in each item. Show the complete proof of each of the followin...

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Q: Example 22.3. Find the Fourier transform of: f (x) = %3D 0 x|> 1 Hence evaluate C COS x - sin x - co...

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Q: 3. a) Define Integrating Factor and Exact Differential Equation. b) Solve: (x2 + xy-y² )dx+ x² - 2xy...

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any ...

Q: I will buy a new car or a new house if I get a job. I will get a job whenever I study hard. Eith I s...

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Q: ind the roots of complex numbers 1. z3 = 2 – 3i

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Q: Given points P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) find the parametric equation of the line PQ ...

A: Here given point  P (4, -2, 5), Q (3, 5, 5), and R (0, 2, 6) So  PQ=2-4, 5--2, 5-5=-1, 7, 0 PR=0-4, ...

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Q: aD Cy = D2 holds, independent of the compounding method, where Cy is the convexity, D is the mod- if...

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Q: 2. Calculate the point(s) of intersection of f(x) = 2x² + 4x – 11 and g(x) = -3x + 4.

A: Given f(x) = 2x2 + 4x - 11 and g(x) = -3x + 4

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Q: 4. A coastline is given by y2 = x+3 with the ocean being to the right of the curve. If a boat crew i...

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Q: Use the fact that the volume of a tetrahedron with adjacent edges given 1 by the vectors u, v and w ...

A: This is the problem of vector algebra.

Q: what

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Q: Express the integral L Ey.2) dadrdy as an iterated integral in the other five different ways.

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Q: 12. Let Gbe an open set in R". Two points x, y e G are said to be equivalent if they can be joined b...

A: Given that G is an open set of ℝn. And the given equivalence relation is: Two points x, y ∈ G are eq...

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Q: 1-2 Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of...

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Q: Show that [0, o0) and [1, o0) are isometric.

A: We need to show that ,  [0 , ∞)  and  [1 , ∞) are isometric. We know that two metric spaces X and Y ...

Q: 8. Let (X, d) be a metric space, and A, B are subset of X, then (i) Fr(A) = A n (A)° = A – int A | (...

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for you...

Q: 2. y(x*e*y - y)dx + x(y+x³e*)dy = 0 3. 2x y' = y(3x*+y²) 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0;...

A: Integrating factor and solution of differential equation

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Q: Sin sin e - I+ sin 0 1-sin& A.) sin Otan O B.) -2 tan2 Q c.)sec@csc@ D.) I+ cot O

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Q: 3. Calculate the Laplace transform L{(t+ V5)(2t³3 – V3)}.

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Q: x, y, z, u og v á myndinni. 60° 60° 100° rri en BC. B

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Q: y" – 3y' + 2y = e3t ; y(0) = y'(0) = 0

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Q: 2. Recall thats min[a, b, c] is the least value among a, b, and c, that is, if a 0. (a) problem. Wr...

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Q: 12. For what values of k, will the equation 3x? +4x + k = 0 have two equal roots?

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Q: Consider the center of mass of the following. A lamina occupies the part of the disk x2 + y2s 9 in t...

A: Given x2+y2≤9  ρ(x,y)=ky  x=rcosθ, y=rsinθρ(x,y)=ky=krsinθ