GIVEN: f(X)=-2x²x+3 FIND: a) AXIS OF SYMMETRY:

Q: What are the foci of () + G)} = if a < b?

A: The given equation is a standard form of an ellipse having a center (h,k)=(0,0). Since a &lt; b,…

Q: If AG = 2x + 10 and CF=5x -2 find x,

A:

Q: Find all points having an x-coordinate of 3 whose distance from the point (-2,1)is 13 (a) By using…

A: (a) By using the Pythagorean Theorem (see graph below)   Let (-2,1) denote the coordinates of the…

Q: Assume the equation has a solution for x. ax+3x = bx+5 %3D

A: Since the equation is: ax+3x=bx+5

Q: 4. Show that the equation x² + y? + z2 - – 2z + 6y + 4x + 15 = 0 represent a point.

A: our objective is to prove.

Q: What is the value of x+y+z? Find x and B, if B =[2x+3x+2 is symmetric. -3

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Q: y' = x – 4y %3D

A: The solution of above differential equation is written below.

Q: Q2\Using the variation of parameter, find the solution of: y'+25y = csc 5x %3D

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Q: solve for y in terms of t or x, as appropriate.

A: The given equation is lny-30=5t.

Q: Q2\Using the variation of parameter, find the solution of: y'+16y = csc 4x

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Q: 里() t² + 5 1 lim t一+05t2 +6'2t (?, ?)

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Q: Find the solutions of the equation in the interval [-2n, 2n]. csc(x) = V2 %3D

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

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)&lt;0. The bisection…

Q: Find the extreme values of f(x,y) = 3x + 2y? subject to the constraint x + y? = 1.

A: Lagrange multipliers method: First, solve the following system of equations: ∇fx,y=λ∇gx,y. Then,…

Q: b) Solve over the set Z the equation 2x2-4y- 135 x-2y2

A:

Q: To carry a suitcase on an airplane, the length + width + height of the rectangular luggage must be…

A: Given the sum of length, width, height of a suitcase should be less than 56 inches.  And volume of…

Q: b) g(z)= %3D x? -2

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Q: What equation can Pam use to determine x, then distance up the tree trunk from the fork at which she…

A: The length of the wooden platform is BC=10 in. The height of AB=x units. An angle m∠A=52∘

Q: the path of a diver is gien by 2y=-x^2+6x+102 where y is the height(in meter) and x is the…

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Q: (5x2 – y²) dx + 2ydy = 0

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Q: In the diagram below, given that XY 3cm, XZY=30° and YZ =x. Is it possible to solve for x using the…

A: The Pythagoras theorem states that in a right angled triangle, h2=p2+b2 , where, p is the length of…

Q: Solve by finding an I.F 1. xdy – ydx = (r² + y² kdx

A: The given equation is of the form Mdx+Ndy=0to check the differential equation is exact or not if it…

Q: 1 For Exercise, use A = and solve for X. and B = -2 зв - А %3D - 2X

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Q: Q2\Using the variation of parameter , find the solution of: y'+9y= sec3x

A: Particular solution by variation of parameter where W is wronskian of y1 and y2.

Q: Compute the discriminant. Then determine the number and type of solutions of the given equation.…

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Q: Approximate the point of intersectión of the graphs of r and g. (x, y) = (

A: Given,

Q: Reduction of Orders 7.y" – 4y' + 4y = 10xe2x %3D

A: Note:- As per our guidelines, we can answer the first problem of these problems. Please resubmit…

Q: To solve the sgstem in the methat of eliminating variables, x+y +Z =2 X +2y-Z =6 2X +y-Z =5 of

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Q: Solve, using the method of variation of parameters: 2?y" – 2xy + 2y = x*e*

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Q: What is the axis of symmetry for h(x) = 2x² – 4x +1 ? OA. X = O B. X = -2 OC.x=- 1 4 O D.X = 1

A: A graph of a quadratic function is a parabola.  Let the standard form of quadratic function is  y=…

Q: fcx.y)= 4x+Gy, g6sy)={+yf=13 %3D

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Q: Given h(r) = -2x² +x+1, find the absolute maximum value over the interval [-3, 3]. Write your answer…

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Q: Solve the given differnetial equation by undetermiend coefficents  y'' + 2y' = 2x +7 -e-2x   y(x)…

A: Given:-           The differential equation  is:…

Q: Use slopes to verify that the graphs of the equations Ax + By = C and Bx - Ay = D are perpendicular.…

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Q: 3 By using the first principles, differentiate (x)= 3 S'(x) = %3D Answer: 2x2

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Q: Show that the following equation 2x5 – x + 4 = 8* has a solution on the interval (0, 1).

A: we have to show the following equation has a solution on (0,1) . For this we can use intermediate…

Q: 3. x2 + 2ху + 3y?

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Q: Use parallelogram WXYZ, If XZ = 8x- 18 and RZ 2x +5, find RZ. R.

A: In a parallelogram diagonals bisect each others.

Q: Find y', given that y= e*e(3x}+3x* answer should be in simplest form.

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Q: given 8x+5w+xw+2x2+0.3w2, find the optimum point

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Q: 11) Find the point(s) of inflection for as an y=8x-x³ (point(s) of inflection should be given…

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

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Q: What points (x, y, z) satisfy the equations x2 + y2 = 4 and z = 3?

A: Given: x2+y2=4, z=3

Q: linear congruence has 2 incongruent solutions

A: b is correct. We have to find out the total number of solutions of the given linear congruence.

Q: Consider the equation: *(t) = [ - - Find the solution of the equation x(t).

A: Given: The equation is x.(t)=0-11-2x(t)+01u(t).

Q: y" + y' - 3y = 4sin 2x %3D

A:

Q: How many solutions are there between planes P₁: 2x -y + 2z = 2 and P₂: -x + 2y + z = 1? If there…

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Q: Compute the discriminant. Then determine the number and type of solutions of the given equation. x2…

A: The objective of the question is determine the discriminate , solutions of the given equation and…

Q: С. The possible x and y intercepts of x+3 y=- x² +6x+9 O -3, попе,

A: Given y=x+3x2+6x+9