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Q: 7. x2 +y? +14x- 12y + 4 0 %3D Center : (_and radius:

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

Q: Zy-3z,+5zy -15%3D0

A: The given equation is. zxy-3zx+5zy-15z=0 This a non-homogeneous partial differential equation with…

Q: hyperboloid cooling tower is 400 feet wide at its base and is 350 feet wide at its narrowest point…

A:

Q: The function y = ae* +be2x, is the solution of the following IVP у"- Зу'+ 2у %3D0, у(0)-7, у'(0)-7.…

A: We have to solve given problem:

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…

A:

Q: 3x − 2y  =  17 y  =  5 solve by graphing

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Q: 4* = 32x+1 %3D The value of X in this equation is:

A: Consider the given equation. 4x=32x+1 Take log on both side of the equation. ln4x=ln32x+1

Q: The equation z? + 6* – 2x + 6 = 0 has two roots. The smaller root is and the bigger root is

A: topic- roots of a equation

Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

A:

Q: Use the bisector method to guarantee a solution for the equation 8x -16x = -7 in the interval [0,1]…

A: The solution of the equation: f(x)=0 lies in the interval: a, b, if f(a)f(b)<0. The bisection…

Q: A parabolic arch has an equation of 3x 2 + y – 300 = 0. a) What is the maximum height of the arch?…

A:

Q: Can you help me step by step with this problem?

A: Obtain the first derivative of the given function as follows.

Q: Toby is x years old. Seth is y years old. Seth is three years less than twice as old as Toby. Which…

A: According to question, we make equation . Toby age = x year Seth age =  y year

Q: Find the general solution of the equation y" – 2y' + 5y F0 Do not need to show your work, just give…

A: First we find the auxiliary equation and then we find the general solution of the given homogeneous…

Q: a²y³ + x(9+ y²)/ = 0 %3D llowing the steps below: a) Show that the equation is NOT exact.

A: Checking the exactness of given differential equation

Q: ut the equation y 4x2 - 32x + 7 into the form y = (x – h)² + k: %3D nswer: y =

A: We need to make whole square .

Q: 19. An empty 6-gal water jug weighs 0.5 lb. With 3 c of water Inside, the jug welghs 2 Ib. Which…

A:

Q: 2D4-4D³-23D² + 12D + 36 = 0

A: Given auxiliary equation is 2D4-4D3-23D2+12D+36=0 Now we replace D by x f(x)=2x4-4x3-23x2+12x+36…

Q: A seagull sits atop a cliff and spies a fish under the water. To catch the fish, the seagull dives…

A: The given equation of path is y=2x2-28x+90.…

Q: In the equation 3(r² + 4x) + 4(y² – 2y) = 32, we complete the square on x by adding – within the…

A: We know, (a±b)2=a2±2ab+b2     ...(1) Now, 3(x2+4x)+4(y2-2y)=32 On simplifying further we get:…

Q: (a) Find the general solution of the following equation: y(3) – 3y' + 2y = = -2x + 6e" + 3.

A: We have to solve

Q: Josh tried to solve the equation z+3 = 5. His work is shown in the table. Provide a justification…

A: Topic = Algebra

Q: 1. llustrate "the length of a wire fence for a circular garden is 2 times its radius" as alinear…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: You have a parabolic bowl in the shape of the equationz=x^2+y^2, from z= 0 to z= 10. If you left the…

A: Let the parabolic bowl is filled till some height, h in..  So, the volume of the water in the bowl…

Q: Find the general solution. Provide complete and neat solutions. (D⁴ + 2D² + 1)y = 0

A:

Q: the center-radius of the equationn 9x²-18 x+ 9+9y? + 12y=12 be obtained by adding both sides of the…

A:

Q: -y(2x+y) x(x+2y) - y'=-

A:

Q: bétween the spheres and 2- + Y 4 if the dênsity at any point is equal to the square of its distance…

A: Given: The solid lies above the cone 3z=x2+y2 and between the sphere x2+y2+z2=1 and  x2+y2+z2=4  The…

Q: 3. Find all solutions to the equation (D² – 3D + 2)y(x) = 2e3ª.

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Q: 10. Complete the completing the square method on the equation below to find the center and radius of…

A: To find the center and radius of the circle.

Q: 2. You have a parabolic bowl in the shape of the equation z = x² + y?, from z = 0 to z = 10. If you…

A: Volume of solid is equal to the amount of space present inside the solid to store something. Volume…

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…

A:

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

A:

Q: Find the solution. (D5- 2D3- 202- 3D - 2ly = 0. A y - (e,+ele. O y - (e,+e

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Q: 1) Solve the literal equation for y y - 5x = 9 %3D

A: Please see the below picture for detailed solution.

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: If a cubic equation has a lead coefficient of 2 and a y interce know about the end behavior as x 00?…

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Q: Which is the equation of oB? 41 -2 A. (x- 2)2 + y² = 16 OB. (x+2)2 + y? = 16 3D16 O C. (x-2)² - y2 =…

A: Solve the following

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

A:

Q: Solve y" + 25y = 4t² with y(0) = 0, y'(0) = 0. the following is an expression of the solution as a…

A: In this question, we solve the differential equation by using the Laplace transform and convolution…

Q: What are the foci points for the equation 36x2 + 25y² – 144x – 50y – 731 = 0?

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Q: What is the solution to the equation 4z+ 2 = x*? (Round to the nearest tenth). %3D The solution is…

A: Isolate the variable x in order to solve any algebraic equation.

Q: Solve the pollowing vyrtemr of equationN uring matricar a. ex tytz =4 X-24 +32=7 -3x tây-22=-10

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: y" – 4y = 4e -

A: The non-homogeneous part of the differential equation is 4e3x, so by the method of undetermined…

Q: Find the solution to = y 16x + 6y if r(0) = 0 and y(0) = 3. r(t) = help (formulas) y(t) = help…

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Q: Find the equation of the axis of symmetry and the coordinates of the vertex of the parabola given by…

A: Given equation of the parabola is,x = y2 − 2y – 15

Q: :- 35(7y-x)412y 20) The equation for a hospital's blood supply is 4p2 + q2 = 1400, where p is the…

A:

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.