A restaurant serves a bowl of candies to their customers. The bowl of candies Gabriel receives has 10 chocolate candies, 8 coffee candies, and 12 caramel candies. After Gabriel chooses a candy, he eats it. Find the probability of getting candies with the indicated flavors. a. P (chocolate or coffee) c. P (coffee or caramel) b. P (caramel or not coffee) d. P (chocolate or not caramel)

Q: 7. If in an inner product space, (x, u) =(x, v) for all x, show that u = v.

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Q: dz Suppose z is a function of x and y, and æ2 – y? = z*e®y. Solve for dx

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Q: 3. The figure below shows twelve toothpicks arranged to form three squares. How can you form five…

A: Given:   the figure shows (in question) twelve toothpicks arranged to form three squares.

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Q: Evaluate sin (44°) + cos (29°) using differentials. Refer to special triangles.

A: To evaluate sin44°+cos29∘ using differentials.

Q: r1 : A = (3,2,4) m = i + j + k r2 : A = (2,3,1) B = (4,4,1) (a) Create Vector and Parametric…

A: r1: A=(3,2,4) and m→=i^+j^+k^ r2: A=(2,3,1) and B=(4,4,1) Vector form of a line which passes through…

Q: Let x 0 and y 0. (a) If xly, show that {x, y} is a linearly independ- ent set. (b) Extend the result…

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Q: Consider the function g defined by g(x,y)=cos⁡(πxy)+1/log3⁡(x−y). Do as indicated. 1. Determine…

A: The given function of the two variables is g(x,y)=cos(πxy)+1log3(x-y). (1) To find: ∂2g∂y∂x. (2) To…

Q: 1. The sum of two numbers is 25. One of the numbers exceeds the other by 9. Find the numbers.

A: Let x be a first number.  Then, the other number is = (x + 9) Given, the sum of two numbers is = 25…

Q: 1. Consider the problem of finding the roots of P(x) = (x – 1)(x – 3)(x – 5)(x –- 7)(x – 9)(x –…

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Q: 2. Noemi had a 3 × 5 ft² piece of plyboard. She needs to have it cut it into a parabolic shape that…

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Q: Consider the ceiling function [2] = min{z € Z]z > r}. This basically rounds up any real number. For…

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Q: Let X be the vector space of all or Can we obtain the norm defined on from an inner product?

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Q: if it was Mzn (R) was =a,br Prove that MzmC to

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Q: Consider the points which satisfy the equation y = x + ax + b mod p where a = 4, b = 2, and p = 11.…

A: Given : equation     y2≡x3+ax+b mod p where a=4, b=2, and p=11 To find : the elements of the…

Q: Consider the following sets. A = {3, 6, 9, 12, 15, 18} B = (4, 8, 12, 16} C= (3, 6, 9, 12} D = (1,…

A: The set G∪H contains all the elements that are present in set G or set H.

Q: A. Perform the indicated operations on sets. 1. AUB 2. AnD 3. AUCUD

A: Given data:A={3,6,9,12,15,18}B={4,8,12,16}C={3,6,9,12}D={1,2,3}E={3,9}F={1,2,3,4,5,6,7,8,9,10}

Q: Let f: A-XX Y be defined as f (a) = (f, (a). f2 (a)) each a A, Then f is continuous if and only if…

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Q: b. Give examples square matrix, diagonal matrix and scalar matrix. c. Solve the following equation…

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Q: 5. How many distinct factors do the following have? (a) 1000100. (b) 7ª11*13°; a, b e N. 6. At a…

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Q: Consider the following system, y" = f(x), y(0) + y (0) = 0; y(1) = 0, and a. Find it's Green's…

A: Please see the attachment

Q: Let A be a Hermitian matrix with eigenvalues d1 > \2 > · .· > dn and orthonormal eigenvectors…

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Q: (i) Sketch an odd periodic function of period 8. f(L) = 4 – L, 0 SL< 4 Find the Fourier Sine series…

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Q: Sketch the region bounded by the given lines. Then express the region's area as an iterated double…

A: We will draw graph of given functions and identify the region bounded then will find range of…

Q: c. 5tan(59°)- ; use special triangles sec(59°) – 3sin²(59°)

A: Given: 5tan59°-2sec59°-3sin259° To find: Using linear approximation solve the equation.

Q: Let U be the universal set of natural numbers less than 11. Consider the following sets. А %3D {1,…

A: To find the given sets :-

Q: Show that rejst =rcjs(-0)

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Q: One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours.…

A: Given that one pipe can fill a swimming pool in 10 hours and the another pipe can empty the pool in…

Q: Evaluate the given line integral. | (y, –x)·dR, where C consists of 4y = x² from (–2, 1) to (2, 1)…

A: The line integral of  F→ along curve C is ∫CF→.dR→ =∫ab F→r→t.r→'t dt Where r⇀t represent parametric…

Q: e Transform of the functions 1. e2t (

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Q: Including the broken lines, how may secant lines are there in the figure? A E В 1 2 4

A: Solution -: There are two secant line  AB and CD .

Q: An ellipse has semi-major axis of 4 and its semi-minor axis is 3. The distance from the center of…

A: To find the distance from the centre of the ellipse to the directrix is

Q: Calculate x in degrees. [22 8X +5° 3X + 8°

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Q: E F А G

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Q: Solve (5æ?y? – æy? + 17y?) dæ (x³y+ 2x?y + 9xy+ 18y) dy = 0

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Q: / y = = V3y = 1 y = 1-1 (z – 2)² + y² = 4 -4 cos e (a) r dr de sin 8+cos e 4 cose (b) r dr do sin +…

A: To find the double integral in polar coordinates that gives the area of the shaded region in the…

Q: The hyperbola with asymptotes having the equations y -x and y--x and one verlex at (2, 0) has the…

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Q: dy Solve x da + 5y = x sin (ax2)

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Q: 4. -5, -3-2, . 18th term 5. 16, 11, 6, ., 10th term

A: Part (4) We have -5, -312, -2, .... Subpart (a) Common difference is any term minus the previous…

Q: 4. Let -81 | A = 1 (a) Factor A into a product PDP-1, where D is diagonal. (b) Compute e4.

A: We can solve this using diagonalisation

Q: 1. Find the first 11 terms of an arithmetic sequence in which the third term is 10 and the eleventh…

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Q: 2 - 2 13) Ans. 3,-2; 6, 2; 9, | -2 0 7 |2 62

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Q: b. -2åx + 3d, - åz 2. If E = -xả, + yåy V/m, find the work involved in moving a unit positive charge…

A: We can solve using given information and calculate the work done

Q: Which triple integral in cylindrical coordinates gives the volume of the solid bounded below by the…

A: Solution:-

Q: Determine the coeffcient of x31 + x32 + x23+ x64 if (x1 + x2 + x3 + x4)^14 is expanded.

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Q: Determine the cardinality of each of the given sets: a) The set T of counting numbers that are…

A: The pair of sets are equivalent if there exists a bijection between then. We product the example of…

Q: Which vectors, drawn on a grid from one point (on the "cross-hairs") to another have integer values?

A: Y-component of A →…

Q: Vx.y" +x = 4, y(0) = 1, y'(0) = 11 %3D %3D

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Q: SVp? - 18p – 35 dp S 2sin*x sin(2x) dx

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Q: Зх —1 (1– x)(2- 3x) A B (b) (i) Express in the form - x 2-3x, where A and B are integers. Зх— 1 (ii)…

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