Check the alternative that contains the equation of a circular cone with vertex at the origin, which contains the point M(−2,8,7) and whose axis is the z axis. Choose the correct alternative: a. x2=4y2/113 + 4z2/113 b. z2=3905x2/324 + y2/81 c. (z−7)2=(4/113)(x+2)2 + 4/113(y−8)2 d. z2=49x2/68 + 49y2/68 e.z2=64x2/53 + 64y2/53

Q: (v³x - 2x4) p + (2y4 - x³y) q = 9z

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Q: B. Solve the following equations for y. Answer two only. i.__8(2y-³) = (-¹)(V-2), 16 e√y = 1² In(y +…

A: We can solve for 'y' .

Q: what is the intersection of y=4e1.5041x and y=8E+07e0.0106x

A: Given: y=4e1.5041x  and   y=8E+07e0.0106x We have to find the intersection of two given curve

Q: If y = x' - 3x' + 1 +8x– 10, find y5) 13. x2 -5 a. - 24x5 b. 720x3 -7 120x d. - 720x-7 с.

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Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

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Q: Find all the possible points of intersections of 9x2 + 4y2 + 18x – 16y = 0 and (x + 1)2 + (y– 2)² =…

A: Given curves: 9x2+4y2+18x-16y=0   ········(i)x+12+y-22=5         ········(ii) From equation (ii)…

Q: For what value of 'y', x² + 12 + x + y² is a perfect square?

A: Given query is to find the value of y which makes expression a perfect square.

Q: Given y=2s^2-8x+4    a.  Complete the square to convert to vertex form  (y=a(x-h)^2+k) b. find the…

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Q: The equation of OP is (x- 3)+ (y- 1)²=9. Without graphing, explain how you can determine whethen che…

A: Given equation of circle is, x-32+y-12=9

Q: 5. 15t-4 23t-2 + 4 = 0

A: Simplification

Q: Find the distance between the points (−10-10, −14-14) and (−11-11, −8-8)

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Q: b) Plot the quadratic y=-2x² + 8x-8, where 0≤x≤ 4.

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Q: y= − x^2 + 10x − 24 Axis of symmetry : State the y-intercept as an ordered pair :

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Q: m=-3/5, y-intercept (0,5)

A: Given that m = -3/5 and y-intercept is (0, 5)

Q: Х ахду + ди ду = 0

A: We have given an partial differential equation xϑ2uϑxϑy+ϑuϑy=0withu(x,0)=x5+xu(2,y)=3y3 To solve the…

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: 2. Solve: z dy (6r + 1)y+ 3r² + 2y* = 0 dr

A: The given differential equation is (6x+1)y2dydx+3x2+2y3=0. Divide both sides of the given equation…

Q: B. Solve the PDE: X daw ?хду ди = 0(u(x, 0) = x5 + x anqu(2, y) 3у3

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Q: Find the general solection y'+ 3ty-

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Q: 3B(i). Write y = 3x²2 + 12x+5 in the form of y= a (x+h)² + k where a, h and k are constants.

A:

Q: Suppose the quadratic possible ordered pairs x2  + bx (b, c) .+ c = 0 , when x = r or x = s . If r2s…

A: The given quadratic equation is x2+bxb,c+c=0.where x=r,s are the roots and b,c are integers.To find:…

Q: Solve for a: »2-a-x² (2-a²-y 4 dzdydx 15 %3D 0. a

A:

Q: b) Plot the quadratic y=-2x² + 8x-8, where 0 ≤ x ≤ 4.

A: y=-2x2+8x-8

Q: 4. Solve (D² -3D+2)y=2x²eªx +5e³x.

A:

Q: Calculate (3+j6)19 in rectangular format. Please show all your steps.

A: By using De moivres theorem the answer is given as follows :