Determine all natural numbers 2, Y, z for which the equation 422 + 45y + 9z – 12zy – 36yz = 25 is valid and where x

Q: theorem that proves their similarity. 21. 40 35 45 7. 74

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: |=1|+ |= 2 | |- |- | 3. If z3 + z,, show that VI +

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Q: Determine the equation of the line passing through the points (4,4)and(4,6). Express final answer in…

A: Equation of line passing through two points (x1, y1) and (x2, y2) is,  y-y1=m(x-x1)        where…

Q: P is of degree 2; P(0)=4; zeros -1, 4?

A: Write the standard form of polynomial with the help of zeros.

Q: Let X- Unif(4, 10). a. Calculate P(X 1). Prob = C. Assuming that 4 SIS5, calculate P(X <t|X< 5).…

A: X~ Uniform(4, 10) a) P(X&lt;5)=x-ab-a=5-410-4=16=0.1667 Therefore, P(X&lt;5)=0.1667

Q: Show that 1 1 1 x2 y? z2 (y² – a²)(z² – a²)(z²? – y²) - - ,4

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Q: S ⊂ R3 be the set consisting of 2 points (1, 2, 2) and (1, 2, 3). Find the annihilator of S. Show…

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Q: 8. Which of the points -2i,3 - i and 4 + i is farthest from the origin.

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Q: Exercises 143–145 will help you prepare for the material covered in the next section. y2 - yı 143.…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: 23. Prove that (xo, Yo), (x1, y1), and (x2, y2) lie on a line if and only if (х — Хо)02 — Уо) - (*з…

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Q: Another Reciprocal Property Prove that if 0 < a < b,then 1 <-< -. b a

A: 0&lt;a&lt;b

Q: Let S = {2x,1 – x, x² + x – 1,x + 1}. Then %3D

A: The correct answer is

Q: Find the equation of the plane that passes through (9, 13, 4) and is parallel to x + y + z = 3.…

A: Here we have to find equation of plane passing through a point (9,13,4) and is parallel to x+y+z=3…

Q: Describe the set of all points that satisfy (x−1)(x−3)(x+5)=0(x−1)(x−3)(x+5)=0 if the solution set…

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Q: find Len th of avectors 2く3,-S,\> D=くW5> ビ,37 andd And Draw the coordinates for each point

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Q: Find the length s of the path (6 + 10t, 7 + 2112) over the interval 5 <t < 9. (Express numbers in…

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Q: Determine the equation of the line passing through the points (2,−7) and (18,9). Express final…

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Q: Let x = (3,-1,0) and y = (0,1,5). a) Show that no choice of numbers a and b can make ax + by =…

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Q: 3. Show that (1+i) = 2i

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Q: 6. The first four central moments are 0.4, 8 and 144. Find 'B' and 'y' coefficients?

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Q: The distance from the point K(3, -2, 0) to the az- plane is Select one: O-2 O √13 O 0 02 O None of…

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Q: uestion 5 of 8 plve for u. 2 2u -5u=3

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Q: Find the intersection of the line r(t) = (1,0 t(4, 12, 2) and the plane x – z = b. (Give your answer…

A: Given equation of line and plane now we have to find the point of intersection of line and plane as…

Q: Solve for u. 2u-11u+31 (4-7)- If there is more than one solution, separate themn with commas. U =…

A: This problem is related to quadratic equations and we solve this using root formula.

Q: Sketch the set of points satisfying: |z - 1 + 2i| = |z + 3 + i|

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Q: 6. Express in a + bi form: 2i(i + 3)

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Q: Ai How could you prove ZC AB ZCDB? Drag tiles to the empty boxes to correctly complete the proof.…

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Q: How we get this formula: エ= 2n, n2 by using these relationsi (1-n2T) (1-hizt) miz=m+mz, I=

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Q: Select all the points through which a unique solution for the DE y'=/13-x²-y2 is guaranteed by the…

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Q: 3) Find integers x and y such that 13x + 15y = 1.

A: We see, 15 - 13 = 2              =&gt; k(15 - 13) = 2k for any integer k              =&gt; 15 k -…

Q: n! Verify that Ex1+…+xr=n,xi20 r^n for any r, n>1 x1!x2!...xr!

A: Consider the given information. Let n is greater than equal to 1 arbitrary. Use the mathematical…

Q: A particle start from the point (4,4) and it's coordinates change by the increment AY=5 and AX= -8…

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Q: Find k so that the points P(0, 1, 1), Q(-1, 1, 3), and R(-3, 1, k) are on the same line (collinear).

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Q: To avoid collisions with invasive species of aliens, new imperial regulations allow only positive…

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Q: What is the midpoint between z1 = 9i and z2 = 4? (2, 4.5) (-4,-9) (-2,-4.5) (4, 9)

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Q: There are exactly two values of y that make the points A = (0, 1), B = (4, – 10) and C = (-15, y)…

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Q: Solve (y(1+1) + coxy) dan + [n+lope-nsmy] =

A: 25. The given differential equation is                                     y1+1x+cos ydx+x+log x-x…

Q: What is the midpoint between z1 = 3 + 9i and z2 = 4 - 12i? (0.5,-10.5) (3.5,-1.5) (-2,-2.5) (6,-1.5)

A: Explanation of the answer is as follows

Q: Find k so that (1,2,3) and (–k, 1 + k, 2) are perpendicular.

A: Using definition of dot product.

Q: Find the equation of an elliptic cylinder passing through the points (±2,0,0) and (0, ±13,0). (Use…

A: We can answer first question as per the honor policy. Please resubmit other question as well to know…

Q: Determine the equation of the line passing through the points (4,−5) and (5,−5). Express final…

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Q: If x and y are positive numbers with x > y, show that a triangle with sides of length 2xy, x2-y2,…

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Q: A space ship travels at 25 miles per hour and traveled continuously for 211 hours. 4 Enter the…

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Q: Find a number z (except 0) such that Az³ + Bz²+ Cz = D 2 1 3 0 -2 -4 00 ^-[ ] ³-R2 :]-[+]-[1] B= 1 2…

A: Solution

Q: Use Superposition approach to find the genral solution of the following equation: у" — 2у' + 3у - -6…

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Q: Prove the following:  if x^2 = y^2, then x = y or x = -y.

A: Subtract y^2 from both sides.

Q: Find a number 8 such that if |x – 2| < 8, then |4x – 8| < ɛ, 11) where ɛ %3D 0.01.

A: Ffind the delta

Q: Describe the set of all points that satisfy x=9x=9 if the solution set is plotted (a) in RR, the…

A: Given x=9 Aim: To describe the set of all point which satisfy it

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.