) Determine the Cartesian Equation perpendicular to the line L1: 4t – 2y = 8, -3t = 6 – 2x with a y-intercept of7. All coefficients must be Integral in your final answer.[k3]

Q: Find the one real value of a which satisfies the following equation: 22 – 27+2 – 5 = 0. Give your…

A: 22x -2x+2 -5 = 0 To Find: one real value of x   Proof:  Putting 2x = t in given equation  ⇒t2 - 4t -…

Q: Q2: Write the Difference Equation from the following diagram: x [n] 3 y [n] z -2

A: Formulate z-transform equation for the above block diagram and get Y(z) and X(z) in either side of…

Q: vertex of parabola : (-2,1)= (h,k) x=a(y-k)²+h ✓ (-1.5, -2.3) (j,4.2)

A: Given Vertex of parabola h, k=-2, 1 Equation of parabola x=ay-k2+h Points of intersection of line…

Q: Complete the square to express y= 3x – 10x – 5 in the form y=a(x-h)² +k. Then give the coordinates…

A:

Q: Rearrange the equation to isolate

A: here , we have a equation , then we have to re - write the equation for C   equation be    a=b1c-1d…

Q: dy + 3x2 + 2y3 = 0 dx e) Solve (6x + 1)y?

A:

Q: Put the equation y = x? – 10x + 16 into the form y = (æ – h)² + k:

A:

Q: Find the y-intercept (b=) of the line 8x+5y=20 *

A: Given line is: 8x+5y=20 For calculating the y intercept, put x=0 So,  8×0+5b=205b=20b=4 is the…

Q: Graph the equation x2/4+ y2/9 = 1, and give the centerand the endpoints of the major axis

A: Given equation x24+y29=1

Q: What is r for each of the equations?

A: Like in the rectangular form the variables are x and y. Same way in polar form the variables are r…

Q: (t-3)√6t-t² dt

A: To evaluate the given integral.

Q: If a # B and of = 5α-3 and 3² = 5ß-3, find the equation whose roots are alß and Bla.

A:

Q: Eliminate the arbitrary constant C, and C2 of the equation: y= C;e" + Czeo O 2y" - – 6 – 0 O N – 2y…

A: Please check the options. Note: Given options does not contain correct answer. Given y=C1e2x+C2e3x…

Q: Put the equation y = x² – 2x – 3 into the form y = (x – h)² + k:

A: y=x2-2x-3

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

A:

Q: Put the equation y = x + 6x + 5 into the form y = (x - h)' + k: Answer: y =

A:

Q: Determine all solutions. y = xy² - √x² + y²7

A:

Q: x²y – xy² + y² = 7

A:

Q: Determine the equation of the axis of symmetry, y = x2 - 4x - 12

A: If the Equation of a parabola is given by , then it's axis of symmetry is given by

Q: Find the equation of the perpendicular bisector of th segment joining the points A(2, 3) and…

A:

Q: Vx – 3Vx – 4 = 0

A:

Q: Find the trace of the plane -14x + 4y = 7 in the coordinate yz-plane. (Use symbolic notation and…

A: The given equation of the plane is -14x +4y = 7 ....(i)We are asked to find the trace of the given…