S16 -X2 メー dy dx + x?+yz

Q: Find the area bounded by the parabolas y^2 = 4 –x and y^2 = 4 – 4x.

A: I am attaching image so that you understand each and every step.

Q: Find sets of parametric equations and symmetric equations of the line that passes through the given…

A:

Q: Solve the given initial-value problems. te dx +(y-1)dy=0; y(0) 0 4.43.

A: identify the differential equation and solve it.

Q: Direction: Solve the following equations using separation of variables. 5. y*y' + y' + x2 + 1 = 0

A: To solve the following differential equation by using separation of variables. y4y'+y'+x2+1=0

Q: 11.(Straightforward) Find a particular solution to each of these ODES by using the method of…

A: As you have asked for question 11 c only. So I am solving that only. Thank you.   Two solutions y1,…

Q: Find the orthogonal trajectories of the given family of curves. Draw a few representative curves of…

A: For orthogonal trajectory we replace dy/dy by -dx/dy

Q: Find an equation of the tangent plane to the surface at the given point. h(x, y) = In Vx2 + y2, (6,…

A:

Q: x(1-x')y = x' + y-2xy? ソ=

A:

Q: Show that the set is linearly dependent by finding a nontrivial linear combination of vectors in the…

A:

Q: Integrating Factor by Inspection: (1) y(x² + y² – 1)dx + x(x² + y² + 1)dy = 0

A:

Q: J arctan x dx A C In(x2) + C In(x² + 1) + C x arctanx x arctan X - | 1. x arctan x +- In(x2) + C x…

A:

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: To determine the point of intersection of the given line and plane.

Q: Evaluate using Linear Equations. v(dx/dv)=6ve2v+x(2v-1)

A:

Q: For an integral of the form f sin™(x)cos"(x)dx, saving one sine factor and converting the rest to…

A: Given data÷

Q: Evaluate by using homogeneous D.E. 3 (3x? + y²) dx – 2xydy = 0 O ao3 = C(9x³ + y³) O ap3 = C(9x² +…

A: ANSWER: OPTION 2nd

Q: We use Law of Sines and Law of Cosines to solve for a triangle. When we say solve for a triangle, we…

A:

Q: ocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the initial…

A: We are asked to find the height of the Rocket

Q: Determine whether the planes are parallel, orthogonal, or neither. 4x – 20y – 4z = 4 3x – 15y – 3z =…

A:

Q: Which of the following is NOT a solution to the trigonometric equation sin 0 + cos 0 = 1? O Option 1…

A: Substitute the values given in the options and verify.

Q: statements is NOT true?" a = 230, b = 150, C = 95° The length of the third side is 25.13 unite The…

A:

Q: Use Lagrange multipliers to find the indicated extrema, assuming that x, y, and z are positive.…

A:

Q: Which of the following is not equivalent to sin 0?

A: We are asked to find which is not equivalent to sinθ

Q: A cubical container that measures 2 inches on a side is tightly packed with 8 marbles and is filled…

A:

Q: x = y² – y, x = y – y² |

A: The solution is given in the next step.

Q: g (x) = sin(x) Compute IT IT + g' + g" 2

A: This question is based on derivative of a function.

Q: Select

A:

Q: dy Find for the following expressions: dx а) y = x³ In(3x) b) y = 2 cos (+ 2x3) X 3x2 + 7x + cos (x)…

A:

Q: 3m 5. rad 9. 1.1 rad 13. 1.6 rad 4 6. rad 10. 3.1 rad 14. 2.1 rad 2- rad 3 11. 0.50 rad 15. 0.091…

A:

Q: Find the gradient of the function at the given poin w = x tan(y + z), (6, 15, –13) Vw(6, 15, –13) =

A: The given function is w=xtan(y+z) ............................................. (1)  We have to find…

Q: r(3x² x + 8x – 12)d: .3 x' +7x +12x

A: Given:          ∫3x2+8x-12x3+7x2+12xdx Factor the denominator:       =∫3x2+8x-12xx+3x+4dx The form…

Q: 2z2 + 7z +4 Let f(z) = 1³ + 2x² + 2z [1] (a) Write the general form of the partial fraction…

A:

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: 4) represent the jollowing angles an higono metric cirde a7. + K2n 3. 4. c7 t. Eld

A:

Q: 7y" - 18y %D

A:

Q: Question Use the First Derivative Test to find the location of all local extrema for the function…

A:

Q: Let à =, B = and Č = a) (à · B)č b) Ả · (2C) Find C)

A: A→=1,-2,3, B→=0,2,4, C→=5,-1,-3a)…

Q: The length of a rectangle is two-fifths of the radius of a circle. The radius of the circle is equal…

A:

Q: Direction: Find the differential equation of the family of curves described. 1. Find the…

A:

Q: A solid spherical steel ball, 20 cm in diameter, is placed into a tall vertical cylinder containing…

A:

Q: Derivatives of trigonometric functions Find the derivative. 1. y = 3sin x +3 cos x - tan x

A:

Q: Solve the given initial-value problems. 4.43. re dr +(y-)dy 0; y(0) 0

A: x ex2 dx + (y5-1) dy =0x ex2 dx =(1-y5) dyvariable separable;∫ x ex2 dx=∫ (1-y5) dyx2=tx dx =dt212∫…

Q: dx Assume that x= x(t) and y= y(t). Let y =x +4 and -5 when x= 1. dt dy Find when x= 1. dt

A:

Q: olve the differential equation with the appropriate method. Finalize answer free of fractions and…

A:

Q: Solve the following items and show your solutions. a.) Find the general and particular solution of…

A: x dydx+2 y =4x2dydx+2x y =4xComparing with Bernouli's equation;y'+P(x) y = Q(x)P(x)=2x, Q(x)=4x

Q: Find the volume of the solid generated by revolving the area of a circle. (x-3)²+y²=9; about the…

A:

Q: 2. Consider the graph shown on the right. a) What is the minimum and the maximum value? b) What is…

A:

Q: Find an equation of the plane with the given characteristics. The plane contains the y-axis and…

A: Plane in 3D: The equation of a plane in 3D is ax+by+cz=d If by is removed, the graph of the…

Q: Which of the following is not equivalent to tan"? 2 1- cos 0 csc 0 + cot 0 sin 8 O Option 1 O Option…

A:

Q: 6. * Sx3 V4-x2 dx

A:

Q: Question 12 V3 sin(0 + m) What are the solutions for the equation cos(o + 1) = 1,

A: