Find a quadratic equation whose product of roots x, and x₂ is X₂ equal to 4 and satisfying the relation X₁ - + X₁-1x₂-1 T 2.

Q: d. ( 15 %3D -3 y

A: in this question formulas used are- X^a/X^b = X^a-b 1/X^a = X^-a

Q: 2. y = Vtan x

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Q: Find u. v, uu, ||u||², (u - v)v, and u . u = , V = (a) (b) u. V u . u (c) || u ||2 (e) (d) (u. v)v…

A: “Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: Find u · (v x w). (4, 4, 4) (4, 6, 0) w = (0, 0, 9) u = V =

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Q: Find u x v, v x u, and v x v. u = 5i + 9k v = 2i + 9j – 4k. (a) U X V (b) (c) v x v

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Q: J1, 1), К(3, 2), L(4, 1) and M(6, 1), N(5, 2), P(2, 1) 3)

A: Below Image has the graph with points plotted on Coordinate Axes.

Q: 5. St V1-t dt

A: We solve this integration by substitution method by putting                         1 - t3 = u…

Q: ?w Əv у Find when u = 0, v=0 if w=x² + ₁ x=6u-2v + 1₁ y=u+4v - 1.

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Q: Find u · (v × w). u = v = w =

A: Answer is 0

Q: Find u, v, and u + v. u = (0, 1, 1, -2), (a) ||ul| (b) ||v|| I (c) ||u + v v (2, 4, 0, 1)

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Q: Evaluate ze -dz, where C is z+ 2 ((+2+2)?

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Q: Determine Cif u=v=0 (20 — 5и + 3)dv — (20 + 4и — 6)du %3D 0

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Q: If u * v = 2i - 3j + k, what is v * u?

A: As we know a×b = - b×a

Q: 5(u-) du 2. 2

A:

Q: S (sech u + tanhu)² du

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Q: Assume that u- v = 8, ||u|| = 1, and ||v|| = 10. What is the value of lu- (9u – 8v)?

A: To get the values, first simplify the expression in such a way that you can use the given values.…

Q: Suppose that u × v = ⟨1,0,4⟩. Find (2u−3v) × v.

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Q: 17. Show that Z () = zlog

A: Z-tramsform

Q: Vx(A x B)=(B-V)A-B(V-A)-(A-V)B+ A(V-B)

A: Solution

Q: (b) Given the system of equations (7.6) on page 55 of the notes, let us write z = 1 - s. Now for…

A:

Q: Compute u X v.

A: Here given vector as u=3-12, v=011 These vectors can be written as u=3i-j+2kv=j+k

Q: If u = (u, uz) and v = (V1, V2), how do you find u + v?

A: Given: u=(u1,u2)v=(v1,v2)

Q: Suppose that u · (v × w) = 3. Find (a) u · (w × v) (b) (v × w) · u (c) w · (u × v) (d) v · (u × w)…

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

Q: What is the image of C? C B C' A B' A'

A: Solution is given below:

Q: Ay l Ory"- 8y/ (ry + y) O zyy"=/ (ry + 7y) O ry" - / (8zyy) O zy" =/ (zy - 8y)

A: We will find out the required value.

Q: 1 te SS₁ (# + y) ₁ 4,₁ dA, where R is the rectangle [0, 2] × [1,3]. X Evaluate

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Q: A - (B U C) = %3D (А - B) U (A — С) (A – B) U C Option 1 Option 4 (А- В - С) (A – B) n (A – C)

A: given , A-(B∪C)  WE HAVE TO FIND EQUIVELENT TO IT FROM GIVEN FOUR OPTION

Q: Find u (v x W). u = (3,3,3) (5,9, 0) V = w = (0, 0, 3)

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Q: A v xu u = (1,3,-3), v = (4,0.2) T......

A: Let's find.

Q: #21

A: Given,

Q: Compute u X v.

A: Here given vector u=-123, v=2-4-6 Now it can be written as u=-i+2j+3kv=2i-4j-6j Thus vector uXv is…

Q: Make your own 2 example of skewness and kurtosis

A: we study skewness to have any idea about the shape of the curve . Kurtosis enables us to have an…