Verify that the general solution satisfies the differential equation. Then find the particular solution that satisfies the initial condition(s). 4x² + 3y² = C 4x + 3yy' = 0 y = 5 when x = 2 4x² + 3y² = 0 Need Help? Read It Master It

Q: Find the work done by the following force field F(x, y) = 8(y+6)i + 72x (y + 6)8 j in moving an…

A:

Q: Sketch the graph of the quadratic function. f(x) = x² + 4x + 4 O S No Solution Help -10 9 8 7 6 5 4…

A: To sketch the graph of the following quadratic function.To indicate the coordinates of the vertex,…

Q: f(x) = (x² - 4) (x² +9)

A: f(x)=(x2−4)(x2+9)

Q: Find u x v, v x u, and v x v. u = 2i + 6k v = 5i + 9j - 2k. uxv (a) (b) vxu (c) vxv

A: You have posted multiple question in this question which are not interlinked so i have solved first…

Q: Sketch a graph of x = 3t-1, y=t-1. -5 -4 -3 -2 -1 Clear All Draw: 5 4 3- 2 1 -1 -2 -3 -4 -5 1 2 3 4…

A: Sketch the graph and orientation of the parametric equation.

Q: Find all solutions of the equation cos(x) sin(x) — 2 cos(x) = 0. The answer is A + Bk where k is any…

A: We have given a trigonometric equation We have to find the values of A and B.

Q: Find the general solution of the system x'(t) = Ax(t) for the given matrix A. A = x(t) = - 1 1 0 1 0…

A: A=

Q: 12. Estimating the Age of a Fossil A fossilized leaf contains 70% of its normal amount of carbon-14.…

A:

Q: Below are four sets of ordered pairs. Identify each using the following: n = the set of ordered…

A: Given that n = the set of ordered pairs does not represent a functionf = the set of ordered pairs…

Q: Evaluate the integuel 99.9 x dv the octant z ≤ 2-y iii) //2₂ i) 0 ii.) - 2 st 1 ivə 1 where OC VJ 4…

A:

Q: 1. y'(t) − y(t) = 1, Ans. y(t) = e' - 1 y(0) = 0

A: given IVP

Q: Evaluate the integral 4 (4x +2) In (4x+2) dx.

A:

Q: Graph the polynomial P(x) = x³ + x²-5x + 3 using calculus by showing the given st (e) Sketch the…

A:

Q: Consider the following. f(t)= t + cos(t), -2π st≤ 2.T (a) Find the interval of increase. (Enter your…

A:

Q: Given: (x is number of items) Demand function: d(x) 4563 √x Supply function: s(x) = 3√x = Find the…

A: For equilibrium quantity of the demand function, d(x) and the supply function, s(x) is when…

Q: Identify the inside function, u = g(x) and the outside function, y = f(u). (Use non-identity…

A: The objective of the question is to identify the inside function, u = g(x), and the outside…

Q: = Find the area under the curve y 2x over the interval [0, 5]

A:

Q: 2) Sketch the appropriate region and find the exact area between the curves y y = and y=0, x=1, x=9

A:

Q: a = (-5,3,7); <6,-8, 27

A: The given vectors are

Q: (7) Find the local linear approximation of f(x) = √2+3 at ro = - and use it to estimate the value of…

A: f(x)=1/sqrt(2x+3), x0=-1

Q: 2. Find the Wronskian of the following: b) (sin cos

A: We have to find the Wronskian for the given function.

Q: Compute the line integral f(x² + y)ds, where C is the arc of the circle x² + y² = 16 In the second…

A: To find The line integral, where C is the arc of the circle

Q: Use the half-angle formula cos² 0 = 16 V cos² cos2 Ꮎ ᏧᎾ 6 = 1/²/(1+ = 1/6/6/²2 ( ¹ + [ 1 8 ([ 1) + C…

A:

Q: 1 Consider the functions f(x) = 7x + 1 and g(x)= 7(x-1). (a) Find f(g(x)). (b) Find g(f(x)). (c)…

A:

Q: Write a function f(x) that has the given characteristics. f(-6) = f(8) = 0; f'(1) = 0; f'(x) 0 for…

A: The given conditions are .The aim is to find the equation of the function .

Q: Compute the directional derivative of the following function at the given point P in the direction…

A: To Compute the directional derivative of the following functions at the givenpoint P in the…

Q: Suppose sin(theta) = 3\5 and theta in quadrant 2. Find the exact value of the following. Solve with…

A: Since you have asked multiple sub parts in a single request so we will be answering only first three…

Q: Evaluate the following definite integral. Jo 0 F|+ ㅠ 4 3 sin x + 2 cos xd

A: The Sum Rule:The Constant Coefficient Rule:, where is the constant.And use the common integrals:

Q: Evaluate the following integral in spherical coordinates. 9/2 SSS (x² + y² +z²) Ⓡ dV; D is the unit…

A:

Q: Find the x-coordinate of the point on curve y=In(2x²-11x) where the tangent line is horizontal. Just…

A:

Q: view Policies Current Attempt in Progress Find the area between y = x + 14 and y = 4x + 1 between x…

A: Giveny = x + 14, y = 4x + 1 and x = 0, x = 2

Q: Find the volume of the given solid region in the first octant bounded by the plane 4x + 8y + 2z = 8…

A:

Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: The given function is.The aim si to verify the Rolle's theorem on the given interval.Rolle's…

Q: The function f(x) = x³ - 8x² + 4x + 58 is graphed below. Plot a line segment connecting the points…

A: The given function is

Q: The formula D = 25e-0.2h can be used to find the number of milligrams D of a certain drug that is in…

A:

Q: Current Attempt in Progress Find the total area between y = 9 - x² and the x-axis for 0 ≤ x ≤ 4.…

A: This is question of application of integrationHere is function is given We have to find area between…

Q: How many minutes does it take John to type y words if he types at the rate of x words per minute?…

A: Given,John types x words in 1 minute Find :- Number of minutes does John take to type y words

Q: A box is to be made out of a piece of cardboard 6 meters by 16 meters. Squares of equal size will be…

A: A box is to be made out of a piece of cardbord  meters by  meters. Squares of equal size will be cut…

Q: Find the values of a and b such that a = b + [¹ f(x) dx − [*f(x) dx = f*f(x) dx. - 11

A: Given,

Q: How about the solution for #5?

A:

Q: A circular plate with radius 9 m is submerged vertically in water as shown. Express the hydrostatic…

A:

Q: 49. Sigma notation Evaluate the following expressions. 10 Σκ k k=1 6 b. Σ (2k + 1) k=1 4 a. C. k2…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: (c) Two sides of a triangle have length 3 m and 1m. The angle be- tween them is decreasing at the…

A:

Q: a. What is the solution to the equation 4* x = the number that is X = b. The solution in part (a)…

A: To solve the following equations.

Q: and use these to calculate the Jacobian: a(x, y) d(u, v)

A:

Q: Given the graph ƒ(x), find ³5 f(x) dx using formula(s) from geomet

A: We have to find the integral value.

Q: a) (D-2D + 5D²-8D + 4)y=0

A: In multiple question i can only answer first question as per company guidelines. Request you to post…

Q: ²6² F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to verify…

A:

Q: Compute the line integral f(x² + y² +2²)ds, where C is the curve represented by C x=t, y = cos 2t, z…

A:

Q: Find any relative extrema of the function. List each extremum along with the x-value at which it…

A: