set up an equation and solve each of the following problems. The total surface area of a right circular cylinder is 54π square inches. If the altitude of the cylinder is twice the length of a radius, find the altitude of the cylinder.

Q: Find all solutions to the following equation: x* + 34x + 24 = 3x° + 21x2 %3D

A:

Q: Solve the given linear equation. 9x + 9 = x + 57

A:

Q: Solve the given equation for x. 76x – 2 31 x =

A:

Q: Solve each of the following equations for x. 4x2 + 4bx + b2 = 0

A: We have to solve the equation: 4x2+4bx+b2=0 Solving given quadratic equation,…

Q: set up an equation and solve each of the following problems. The total surface area of a right…

A: The total surface area of a right circular cone is 108π.The slant area of the cone is twice the…

Q: a. 8° 82 ttan=83

A:

Q: Solve the following equation: 금) 5)-2 4 (=) = Vx? + %3D (x2)2

A:

Q: Solve the given equation and write your final answer in set notation. 2x2 – 9x +9 x2 6.

A:

Q: set up an equation and solve each of the following problems. Suppose that the area of a square lot…

A:

Q: 15, 11 -16 + 2x A x+ 6

A:

Q: Please solve each of the following quadratic equations and show that r+s = -b/a and rs = c/a. 1.)…

A:

Q: set up an equation and solve each of the following problems. The length of an altitude of a triangle…

A: Given :          The length of an altitude of a triangle is one-third the length of the side to…

Q: find all real number solutions for each equation. 4y2 = 25

A: The given equation is 4y2=25 To find the real number solutions

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.

A:

Q: Solve each of the following equations

A: Given differential equation is: x2-y2dy=2xy dx dydx=2xyx2-y2 Substitute y=vx v+xdvdx=dydx…

Q: Solve each of the following equations for x. 10x2 - 31ax - 14a2 = 0

A: 10x2-31ax-14a2=0

Q: Find a general solution of each of the following equations.

A: The given differential equation isy'=-2xy

Q: Solve the following equation 34x+ 3 = 12 %3D

A: To solve the given equation

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: Solve each of the following equations. a. 2(x-1)-18

A:

Q: 8x2 + 8x + 2 dx (4x² + 1)

A: 4x^2+1 cannot be fractionised further

Q: Solve the following equation. (x + 3)² – 7(x + 3) + 6 = 0 - List your answers separated by a comma.

A: Given: (x+3)2-7(x+3)+6=0 First simplify the given equation using the identity a+b2=a2+2ab+b2…

Q: d. (b) d.r

A: Given ddx1x+xx2

Q: set up an equation and solve each of the following problems. Suppose that a radius of a sphere is…

A: Given- Suppose that a radius of a sphere is equal in length to a radius of a circle. If the volume…

Q: set up an equation and solve each of the following problems. The sum, in square yards, of the areas…

A: Given: Side of square is twice the length of a radius of the circle.

Q: Find all real solutions of the equation, rounded to two decimals. x(x - 1)(x + 2) = 1/6x

A: Given that the equation is x(x - 1)(x + 2) = 16x To find out all real solution of the equation To…

Q: 3. %3D X-6 X+2

A:

Q: Solve the following equation for x. 5x = 12 3DType an exact answer.)

A: e5x=12

Q: solve each equation. 1/(3x + 4) + 6/(6x2 + 5x - 4) = x/(2x - 1)

A: The equation:  13x+4+66x2+5x-4=x2x-1

Q: set up an equation and solve each of the following problems. Suppose that the area of a square is…

A: Let 'x' be the side of the square.

Q: Without solving for the roots, determine the sum and product of the roots of the following equation.…

A: Given query is to find the sum and product of the roots.

Q: set up an equation and solve each of the following problems. Suppose that the length of a rectangle…

A: An equation can be defined as a mathematical statement consisting of an equal symbol between two…

Q: In the equation x +x = 0, one root is equal to -1 O 1/4 O 5 01

A: solution

Q: Can you show me the steps necessary to solve the following equation for X? (2x+1)/(x+3) =4

A: Consider the provided equation,

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: Find the solution of the equation: x^3 − 3x^2 + 2x − 2 = 0Approximate your answer to the nearest…

A:

Q: and

A:

Q: set up an equation and solve each of the following problems. Suppose that the area of a circle is…

A: The area of the circle is, A=πr2. The perimeter of the square is, P=4a.

Q: Solve the following equation. 35x + 2 = 24

A:

Q: 27* = 9r+x

A: Given : 27x=9x2+x

Q: To eliminate the square root in the equation 2x + 1 = Vx + 1, we each side to get the equation

A:

Q: Solve the following absolute value equation. |1 – 2x| = |3x + 8|

A:

Q: Solve the following equation. 3x^2−30=9x x=

A: We can solve this after factoring

Q: set up an equation and solve each of the following problems. The area of a circular region is…

A: The circumference of the circle is given by 2πr. The area of the circle is given by πr2.

Q: Solve the equation without using a calculator.

A: The given equation is 2lnx+3-lnx+1=3ln2

Q: Solve for the following problems and show your solutions:

A: answer is in next step

Q: Vincent wants to build a rectangular vegetable garden with an area of 600 square feet. He has 100…

A: Given eqn in the standard form : x2-50x+600=0 Now,    x2-20x-30x+600=0x(x-20)-30(x-20)=0(x-20)…

Q: Solve the following equation 2 (x - 7) + 3(x + 1) = -1

A:

Q: By what number is it necessary to multiply each side of the equation in order to isolate X on the…

A: An algebraic expression refers to an expression that is made up of variables and constants, along…

Q: Graph the equation and find the root of the equation below: 4.45x+ 6.01x – 2.25x² + 1.12x – 4.3

A: To find the root of the equation using the false position method or regular falsi method, first find…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.