3 -3x (0°+ 4D* - 30- 18)y= 24 x e

Q: 4x2 Trace the curve y? %3D (x+5)(x-2)

A: Given function is y2=4x2x+5x-2  ....1

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1600 – 0.005x2 - 0.01y?,…

A:

Q: SOLVE THE NHLDECC USING UNDETERMINED COEFFICIENT (D³ + 4D² + 9D + 10)y = -24e* when x = 0, y = 0, y'…

A: Here is the solution of the given their Order Differential Equation:  Method of Undetermined…

Q: In(y) + 2x + In(x) 2 3

A: We need to isolate the y terms, in the given equation,…

Q: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

A: Determine the coordinates of the absolute extremes of y = 3sinx(cosx), 0 ≤ x ≤ 2pi

Q: Given h (x) =x +1, find the equation of the secant line passing through (-3, h(-3)) and (1, h (1)).…

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Q: al equation - y² , y(1) = 2 is hod with step siz nd off to 2 place

A:

Q: Convert the rectangular equation x2 + y? - 3z2 = 0 to an e %3D

A: Here we use the relationship between rectangular coordinates and spherical coordinates to convert…

Q: Graph the equation, y = cosx y (x.y) 2n y (x,y) 1 0.8 0.6 0.4 0.2 0- -0.2 -0.4 -0.6 -0.8 -1

A: Given:- y =cosx  To find:-  Graph of given function

Q: State whether the equation z= (;)' + (3)° %3D defines: ?

A: The equation is z=x82+y52To define the shape of this equation

Q: Q2: Solve and show the details of your work y" + y = sec x

A: We have to solve                             y''+y=secx

Q: Transform the equation 4x–3y+12= 0 in to (i) slope intercept form (ii) Intercept form.

A: Given equation: 4x-3y+12=0 We have to determine its  Slope form Intercept form

Q: (D'-3D+4)y(x) = xcos(2x) equation

A:

Q: The equation y ' y? - 1 is separable

A:

Q: (1-x)y" - 2xy + n(n+i)y =0 [ Legendre Equation] |

A: We will solve it by power series method

Q: Find an equation that repesents C(t) = -2i + 3eit, 0 ≤ t ≤ 2π but traveling in the opposite…

A: Equation travelling in opposite direction

Q: Q1: A) Find the nearest distance from the point (-4,2) and the line 2x – y = 5 d²y dy and dr B) Find…

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: Suppose you are climbing a hill whose shape is given by the equation z= 1800 - 0.005x - 0.01y, where…

A: To find -  If you walk due south, will you start to ascend or descend ? At what rate ? If you walk…

Q: y=3+2x– x² and | about the y-axis.

A: Given:

Q: x y2 4 y = - The axis is 0 = y in the third quadrant.

A:

Q: A hawk flying at 18 m/s at an altitude of 190 m accidentally drops its prey. The parabolic…

A: Given that: y=190-x254 Let,  y=0190-x254=0190=x254x=101.29So  the  distance  travelled  is  the  one…

Q: :-Solve the following equations (choose three only):- 2 1- y' + ²y = -x³y5 2- 2xydx + (x²-1)dy = 0…

A: As per the guidelines I am supposed to do the first question among multiple questions. So here I am…

Q: Find an equation for the contour of f(x, y) = 2a²y + 6x + 15 that goes through the point (4, 1).…

A: A contour line of the quadric surface is the curve of intersection of the quadric surface with the…

Q: V9 – x² dx using a geometry formula. Illustrate.

A:

Q: Solve the equations by variation of parameters y'' + y = sin x

A: Let us consider the given equation and solve it using the variation of parameters

Q: The secant focus y2 = -6x is

A: Given the equation of a parabola is: y2=-6x To find the secant focus.

Q: Sketch c(t) = (t3 − 4t, t2)

A: This is in parametric form. So we will convert it in normal form.

Q: Find the X and y Intercepts (a) ) V= Y%3DX+6

A: We have,  y = x + 6 At y-intercept x = 0: therefore, y = 0 + 6 = 6. At x-intercept y = 0: therefore,…

Q: i) P(5, 25) belong to y = x, what will the point P be transformed to after the equation transforms…

A: Real valued function

Q: Graph the equation y = 4 cos² ; a. y b. y 2 +► x 27 2 -24 -24 C. d. y 4 4 + 2+ +► x 2л 2 2

A: y=4cos2x2 When x=0, y=4cos20=412=4 From the given choices the graph in option c passes through the…

Q: 180 = 2z +y %3D Which equation can be used to find x?

A: We have to find the expression for x:180 = 2x + y

Q: the general equation От а ircle with center (4,-1) and a rac of 7 units * ) x^2+y^2-5x-5y-31=0 )…

A:

Q: y' = 1+ Y x² yı(x) = x solve this riccati equation

A: Solution is given below..

Q: (d) / VI- 40² dæ dt (e)/ Vt² -6t + 13 | Hint: If you complete the square, t2 – 6t + 13 = (t - 3)2 +…

A:

Q: fl-8)== y= 3/x at point (-8;2) %3D m =

A: We are given the function f(x)=x3. Here,               f(-8)=-83=-2. Now, we need to find Slope of…

Q: The number of cars produced when dollars is spent on labor and y dollars is spent.on.capital…

A: Find your answer below

Q: Suppose you are climbing a hill whose shape is given by the equation z = 1300 – 0.005x - 0.01y“,…

A: The given equation is  z=1300-0.005x2-0.01y2 and the given point is (120, 80, 1164)

Q: Suppose you are climbing a hill whose shape is given by the equation below, where x, y, and z are…

A: Solve #c

Q: A car is driving away from the base of a 30-meter-tall building. y 30 metres Car (a) Which of the…

A: We have given right angle triangle  Using Pythagoras theorem  (Hypotenuse)^2 = (Perpendicular)^2 +…

Q: Two objects moving along x-axis are starting at the same time. Their positions are measured in…

A: Given query is to find the the distance when velocity is same.

Q: Equation y= 2 aput Output y 21 2. 1 4 2.

A: Explanation and solutions is given below....

Q: y'=2+ye^(xy)/2y-xe^(xy) find the exact equation

A: Exact DE

Q: 4- The motion of a particle is described by the equation x = a + bt where a =15cm and b 3cm. find…

A: 4.  Given equation of motion of particle:-                                                  x=a+bt2

Q: 2) y-intercepts ± 12; foci at (0, -15), (0, 15)

A: Topic:- geometry  Note :- as per our guideline if more than one question uploaded than only first…

Q: 1. y%3D3X -4 y=Dx

A:

Q: Equation: I (b) Find y when x = 5.

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

Q: (D5 - 2D3 - 2D2- 3D - 2)y = 0. Auxiliary equation and general equation

A: