23. The accompanying figure shows the graph of y = -x² shifted to two new positions. Write equations for the new graphs. -7 Position (a) y=-r Position (b)

Q: Which of the following equations is NOT a variable separable differential equation? O A. 2xydx + (x²…

A: Option D is not a variable  separable  differential  equation .

Q: If (OM-ON) 1/12 - - 5, = ?х M y OA. e5 O B. OC. y5 O D. e-5 O E. -5 then what is the integrating…

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Q: State whether the equation is ordinary or partial, linear or non-linear, and give its order and…

A: See this solution in below.

Q: Find the volume of the solid bounded by the planes x = 0, y = 0, z = 0 and the plane 3x +2y + z = 6.

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Q: Determine the set of points at which the function is continuous. 1 + x² + y² 5 x² - y² F(x, y) = = D…

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Q: If F(x) = f(g(x)), where f(-3) = 5, f'(-3) = 2, f'(1) = 3, g(1) = -3, and g'(1) = 5, find F'(1).…

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Q: Degree of homogeneity of the functiom f(x,y) = (x²-4y²)^-1/2

A: To find the degree of homogeneity of the function.

Q: Solve for the value of constant C in the equation: (2x + 3)y' = y + (2x + 3)¹/² when x = -1 and y =…

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Q: Solve for the IF of the equation y(x + y + 1)dx + x(x + 3y + 2)dy = 0 OA. O B. ey O eLny °A O D.Y O…

A: given    y(x+y+1)dx+x(x+3y+2)=0

Q: Find the derivative of the function. F'(x) F(x) = (4x + 8)³(x² - 5x + 8)4

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Q: 9. For what value of a is the following function continuous at every x? a x+6a, x22 8, x<2 Select…

A: Given query is to find the value of "a" that makes function continuous everywhere.

Q: Question 16 Eliminate the arbitrary constants of y=c₁e³+₂x4-sin 3x

A: We are given a differential equation,  y = c1ex +c2x4 -sin3x   ... @ We havet o eliminate arbitrary…

Q: Evaluate the following integrals: 8 3 S(4 + 3√x) (2x + √x ³) "dx

A: SOLUTION-

Q: e correct answer below. , because f(x) has a limit as x approaches c if and only if and only if it…

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Q: 38. Critical Thinking How many students receive each grade? Each student receives a grade of A, B,…

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Q: Find the equation of the plane through P(2,-1,1) that is parallel to II: 2x + 3y +z - 12 = 0.

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Q: A car sharing service offers a membership plan with a $30 per month fee that includes 10 hours of…

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Q: Solve for the value of C in the equation: O A. 1 OB. 2 O C.3 O D. 4 E. None of the Choices dy dx…

A: Find integrating factor of linear differential equation

Q: ch of the described curves, decide the an equation for the curve. (a) A line through the origin that…

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Q: Which of the equations below is a second order nonlinear differential equation? O A. 2 ¯\x²y - (1 -…

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Q: Use the Gauss-Jordan method to solve each system of equations. 4x + 4y-4z= 36 2xy + z = -3 x - 4y +…

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Q: Find the y-coordinate of the point (a + 1, ?) if this point lies on the graph of the function f (x)…

A: Given: f(x) = x3 The points are: x = a+1 y =? Formula Used: a+b3 = a3+3a2b+3ab2+b3

Q: Which of the equations below is a second order nonlinear differenti A. 2 |x²y - (1 - dx)² = e ²x B.…

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Q: The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The…

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Q: 5. Show that dy ay of dx of arccosx -1 √1-x²

A: Given that dydx of arccosx=-11-x2 We have to prove this derivative.

Q: Solve for the value of C in the equation: dy − (y + xy5)dx = 0 when y(0) = 1

A:

Q: Biologists stocked a lake with 400 fish and estimated the carrying capacity (the maximal population…

A: a) Assuming that the size of the fish population satisfies the logistic equationdPdt=rP1-PN

Q: What is a suitable integrating factor that can be used to solve the equation dy x+2y - 4xy - e *…

A:

Q: 7. Find (a) the slope of the c y=9x² -1; P(4,143) (a) The slope of the curve (Type an integer or a…

A: solution:-y=9x2-1slope= dydx=ddx9x2-1=18x(a)slope of tangent at point P(4, 143)slope = 18(4)=72

Q: If f (x) = x2 - 2x, find f (a + 1) and f (a + 2).

A: Given fucnction, fx=x2-2x

Q: Which of the following is a non-homogeneous function?

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Q: the cable of a suspension bridge hangs in the form of a parabola. the distance between two towers is…

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Q: Which of the following equations can be made into a linear diff O A. (x² + xy)dy - (lnx - Iny)dx = 0…

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Q: A central angle in a circle of radius 8 is subtended by an arc oflength 10pai. Find the angle’s…

A: Given: Length of arc, l=10π units Radius , r=8 units To find the central angle’s radian and degree…

Q: 111 Solve for the actual solution of y''' = 2x + 1 when y(2) = 1, y'(2) = − 4, y''(2) = 7 X 12 6 X 4…

A:

Q: p(x)=3x^3−x^2−8x−25 k=3 Use synthetic division to determine if the given value for k is a zero of…

A: The given polynomial is  P(x)=3x2-x2-8x-25  check whether k=3 is a root of the polynomial or not.

Q: 1. Given the vectors a³ = (2, −1, 3), b` = PQ` where P(1, 1, 1) and Q(5, 1, −1) and c³ = i̇ + j³ +…

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Q: Which of the following equations is NOT an exact equation?

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Q: In this problem you will calculate the area between f(x) = x² and the x-axis over the interval [3,…

A: a) ∆x=b-an

Q: Find the limit, or show that it does not exist. 2x - y lim (x,y) (0,0) y + x²

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Q: What is the standard form of this linear equation in one variable: (y + 1)dx + (4x - y)dy = 0? None…

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Q: Find the derivative of the following function. f(x)=√coth (2x)

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Q: The degree of homogeneity of the function ƒ(x, y) = (x² − 4y²)−1/² O A. 1 OB. -1 O C. -1/2 O D. None…

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Q: 1. Given that lim f(x) = −1 and lim g(x) = 8, find the following limits. x-3 (a) lim (2g(x)-4f(x))…

A: This question can be solved using the concept of limits.

Q: Find the derivative: f(x) = (4 sin x + 8 cos x)tan -1 X

A: To find the derivative of given function.

Q: Find the limit of each of the following sequences, using L'Hopital's rule when appropriate. √n Vn+1

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Q: 0 PERTA C 2000 A television camera at ground level is 2000 feet away from the launchin to take off…

A: Let distance between camera and rocket =s ft

Q: Is the point (3, 12) on the graph of the function f (x) = (x - 12)(x + 2)?

A: Given data:- The given function is, fx=x-12x+2 And the given point is, 3, 12

Q: - 4- ن 2+ ا ? " ? تان 4. - At each of the following points, choose the selection that best describes…

A: We have to find the nature of continuity at the given point according to the given information

Q: (5) Find the center of mass of the region bounded by y = sin x between x = 0 and x = 7 above the…

A: