5. Identify and sketch the graph of the following equations in R³. (a) a2 + 4y? + 22 – 8x + 16y – 2z + 35 = 0 %3D (b) z = 1- In y 22 = 1. Show the traces as well. 16 (c) - - 36

Q: Which points are on the graph of the equation –2.5x – 4y = –20 ? SELECT ALL THAT APPLY - 1 A(-4,…

A: Given: -2.5x-4y=-20  ...1   We know that; A point h,k will lie on the line when we get L.H.S = R.H.S…

Q: 2. Write the given equation below in standard form. 4x2 + 3y + 6y = 9 (y+1)? =D1 *+ (y+1)? = 1…

A:

Q: 8. Which of the following functions represents the vertex form of y = x? - 12x – 18? a. y = (x - 6)2…

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

Q: B. Determine whether each of the following is a quadratic equation or not. 1. 2x²+ 6x = 5 %3D 2. 4x?…

A: Given

Q: What would be the new equation of y = (x + 4) – 7 if it underwent the following transformations: 1.…

A:

Q: Solve (D4 + 2D² + 1)y x cosx +3*

A:

Q: 4. Which of the following is the standard form of y = 2(x-5) -20? A. y = 2x-70 B. y= 2x-30 C. y =…

A: topic - quadratic equations note : As per bartleby guidelines,we are supposed to answer only first…

Q: Find the linear first equations 15 3 ydx+ (xy+2x-2y)dy3D0

A:

Q: 7. Write the given equation below in standard form. x2 +y +12x – 16y = -64 O (z + 6)² + (y + 8)² =…

A: To make in standard form we make perfect square in x and in y by adding or subtracting some Value

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: 2. Which of the following points are on the graph of y = x - 3x + 1? (a) (-2, –1) (b) (2,3) (c) (3,…

A: A function defines a relationship between two sets, where one set is dependent on other set. Any…

Q: Show that the general cubic equation y3 + by2 + cy + d = 0can be transformed into an equation of the…

A: To find the equation of the form

Q: he x-intercepts of the graph of y=x-11x+ 18. 9 C. -3, -5

A:

Q: Dª + 4D³ – 3D² − 2D + 1)y = 0

A:

Q: y³ (x + 2y) = C²y

A: The solution is given as

Q: 6. Graph the equation x² + y? – 4x + 8y – 5 = 0.

A:

Q: Select all the equations that represent the graph shown. 20 А. Зх — 2у %3D 6 B. y = x +3 C. y = x =…

A:

Q: 19. Express the equation (y + 4) = (x+3)² in the form y = a(x - h)2 + k, then identify a, h, and k.…

A:

Q: (b). Show the traces and intercepts of x² +y +z² +3z+2=0

A: The equation of the sphere is defined by   x-x02+y-y02+z-z02=r2 The traces of the sphere are the…

Q: Find the real solutions of each equation. Verify your results using a graphing utility.

A: Given equation is: t4-16=0 Solving we get, t22-42=0⇒t2+4t2-4=0⇒t2+4=0  ;   t2-4=0⇒t2=-4  ;…

Q: 2. (D² + 3D + 2)y= 1+ 3x + x²

A:

Q: Write the following equation in vertex form: y2-20y+ 100 = 6x O (v-20)² = 6x O (-10)² = 4()(x-0) O…

A: Given query is to write the equation in vertex form.

Q: 20. A quadratic function has a vertex located at (6,-6) and a y-intercept of 12. Which equation…

A: We will find out the required values.

Q: 3(y+7)-7y=1 y=

A: First we distribute 3.

Q: 2. Solve (y + x²y) dy dr = 1

A:

Q: (i) Y = ax + b

A:

Q: a. Calculate the value of the slope of Y = - 2 X4 + x -3- 2X -2 + 5 at X = -2

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