A gun is fired straight up. Assuming that the air drag on the bullet varies quadratically with speed, show that the speed varies with height according to the equations ° = Ae kr -5 (tupward moton) k 2 =- Bek (downward motion) k

Q: A train travels 616 miles at a speed of 55 miles per hour. use the equation d=ty to find the time…

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Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b) = 2 11 are equal, show that ==±+:

A: We can use properties of square of three no. To solve the problem

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A: we know, y-intercept is that point on the graph for which x-coordinate of the point is 0. i.e.it is…

Q: Q5) Find and plot all solutions of the following equation z2-4z+8iz 3+8i

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Q: For a quadratic equation: ax2 + bx + C = 0 where a#0, %3D state the equation of the axis of…

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Q: Which of the following equations is an example of a quadratic equation? Oy=*-5 y%= Oy=x-5 Oy= 16x…

A: In this question we have to find the equation of quadratic equation. In quadratic equation variable…

Q: A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on…

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Q: Use the discriminant to determine the nature of the solutions of the equation.

A: The discriminant of a quadratic equation ax2+bx+c=0 is given by the expression D=b2-4ac. If the…

Q: Find the roots for the quadratic equation x + 6x +9 = 0 A 4 B. 1 F 3 -3 D. -2 H. -1

A: The correct option is G.

Q: An equation parallel to the line 4x + 6y = 6 could be?

A: An equation of line parallel have slope same intercepts  different Given equation of line 4x+6y=6

Q: If the roots of the equation a(b - c)x² +b(c - a)x + c (a - b)=0 2 _ 1 ,1. are equal, show that а с

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Q: The position of a particle is given by the equation $ (t) = 4 t3 - 2t2 + t - 1 where s is in feet…

A: The position of the particle is given by st=4t3-2t2+t-1.

Q: If the discriminant of a quadratic equation is 4, then the equation has

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Q: The roots of the equation x + x(p – q) – (q – r)(p – q) = 0 are ?

A: In this question we have to find roots of the equation.

Q: 10x + 8y = 16 5y = 4x – 15 %3D %3D

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 are equal, show that 2/b = 1/a + 1/c.

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Q: Determine constants a, b, c, d and e that will produce a quadratic formula Lf(x)dx = af (-1) + bf…

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Q: Given the roots are: z 8 ± 2i, write the quadratic equation, by correctly filling in the blanks.…

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Q: If the standard form of quadratic equation is; axt + bx + c =0,then values of a, b, and c in the…

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Q: If the roots of the equation a(b – c)x² + b(c – a)x + c (a – b)=0 2 1.1 are equal, show that b а с a

A: Here we will show that 2b=1a+1c

Q: The equation (x − h)2 + (y − k)2 = r2 is the standard form of the equation of a ________ with center…

A: The equation x-h2+y-k2=r2 is the standard form of the equation of a circle with center (h, k) and…

Q: Convert the given quadratic equation to vertex form, i.e., y = a(x – h)² + k. y = x2 + 6x – 9

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Q: If y varies directly with the cube root of z, and y 8 when z = 64, which formula describes this…

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Q: 2x = 14 +y and 4x + 2y = 10

A: We know, lines with the same slope are parallel and if the slope of one line is the negative…

Q: The pressure P, volume V , and temperature T of a van der Waals gas with n molecules (n constant)…

A: Given P+an2V2V−nb=nRT, Where a, b and R are constant. We have to calculate ∂P∂T and ∂V∂P.…

Q: Given equation is h(t)=-4.9t^2+139t+402 The rocket splashes down after         seconds? The rocket…

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Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

A: a) xx-5+3x+2=7xx2-3x-10b) 3xx2-4-2x+2=1x+2

Q: If the discriminant of a quadratic equation is 0, then the equation has

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Q: If the roots of the equation a(b-c)x² + b(c-a)x+ c(a - b) = 0 - are equal, show that 2/b = 1/a +…

A: What is Discriminent: The discriminant of a higher degree equation in one variable determines the…

Q: The position of a particle is given by the equation s = f(f) = B – 6f + 9t , where t is measured in…

A: We have to find the function for velocity.

Q: Describe in words the variation shown by the given equation : z = k√x/y2

A: Given: z=kxy2 To Describe: Describe in words the variation shown in the given above equation.

Q: What is the axis of symmetry of the following quadratic equation? y=+8x O x= 8 O x= -4 O x=1 O x = 4

A: Topic = Quadratic equation

Q: FIND THE GENERAL EQUATION OF THE FOLLOWING SOLUTION: A. y" = 12

A: Solution:To find the general solution of(A). y'''=12(B). y''-2y'+y=exx5

Q: The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and…

A: Given The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee…

Q: please solve it and show your work

A: The given equation is

Q: Find the equation of the geometric location of the points where the sum of 9 times the square of…

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Q: A person's systolic blood pressure, which is measured in millimeters of mercury (mm Hg), depends on…

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Q: y(1) + 2y"" + y"+ 2y' = xe-2x

A: Here we use one method of linear differential equations with constant coefficients. i.e. The…

Q: Find the equation of the quadratic function g whose graph is shown below. -FO. (-5,6) -8 4. (-2,-3)…

A: From the given graph we can easily determine the given graph g(x) is a parabola which opens…

Q: The height of a telephone line is given by the equation h + 60, where h is the height of 6. %3D the…

A: Given that:      Equation of telephone line:             h=x26+60Height of cable at Pole = 220 ft

Q: The degree of the equation y" + xy" + 2y (y') + xy = 0 two one degree does not apply three

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Q: Find all solutions to the equation (D² – 3D + 2)y(x) = 2e³".

A: Given differential equation is (D2 - 3D + 2)y(x) = 2e3x

Q: Find the discriminant, then use it to determine the number of solutions and the type of solution for…

A: Given equation:- fx=2x2-4x+1

Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

A: Here we have to find out the solutions at a discriminant of quadratic equation and describe the…

Q: Given the equation y = z² – 2z + 1, determine how many roots there will be.

A: Roots of a equation are the values of x for which f(x)=0.

Q: The height, h(x), of a punted rugby ball is given by h(x)= 21 +zX- 2x+3 where x is the horizontal…

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Q: Find the solution sets, discriminant, quadratic equation and describe roots of the following…

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