Solve the following exact differential equation (yexy + 3x²) dx + (xey − 7)dy = 0 Express your answer in the form F(x, y) = C, where F(x, y) has no constant term. F(x, y) == C

Q: Determine that each equation is a solution of the given differential equation. d²y y = A sin 5x + B…

A:

Q: Solve the initial-value problem. xy'−y=xlnx, y(1) = 5 O a. y(x) = 5x(In x)2 O b. C. y(x) = 5xln x +…

A: The given equation is; xy'-y=xlnx, y(1)=5.

Q: use the function lnx. find the area of the region enclosed by x=1 and y=5 above y=lnx

A:

Q: Total cost. A total-cost function is given by C(x)=2000(x2+2)1/3+700 where C(x) is the total cost,…

A:

Q: What is the slope of the tangent line to x³-2xy³-y²= -5 at (-2,1)? Select one: O a. 1 O b. O c. -1 O…

A:

Q: A rectangle's length L(t) and width W(t) (measured in inches) are varying in time (t, in minutes).…

A:

Q: Given the graph of y = J(2), shown as a red dashed curve, drag the green movable points to draw the…

A: given graph of y=f(x)  as a red dashed curve

Q: Question Find the points at which the following function is discontinuous. f(x) = 5x+4 -3x²-2 -7x² +…

A:

Q: The graph of y = f(z) is shown in blue. Draw the graph of y = f(2), shown in red, by determining how…

A: Given Graph:-

Q: Evaluate the limit. 2-x-1 lim 741 2²-1

A: To evaluate the limit

Q: If log (64) = 2, then x = If log (256) = 4, then x Number Number

A: Topic = Algebra

Q: Consider the function g(x) = a sin²(x)+1 kx+1 2x+1 if x T 2

A:

Q: 5. Prove that x + y ≤ x − y + x + y for all x, y € R. Hint: Use the triangle inequality.

A:

Q: Question Determine the intervals over which the function shown below is continuous. Enter your…

A: To determine the intervals over which the function shown below is continuous.

Q: Comet Brittany-1952 moves along an ellipse with equation 64x²128x +9y2 - 512= 0 (shown below)…

A:

Q: QUESTION 6 Let f(x)=√x_and g(x)=x² Find fg and state its domain ○ ƒ•g(x) = |x| Domain: [0, ∞0) ○…

A:

Q: Find the derivative of the vector function r(t) = tax (b + tc), where a = (5,-1, 3), b = (-1,-5, 3),…

A:

Q: Find the domain, range, intercepts, symmetries and asymptotes of the following function 1. y = x³

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Solve the following differential equations. dy 9. 10. 11. dx dy dx dy — dx = x³ + 2x MIX 3 == = 4…

A:

Q: choose the correct answer Which recursive rule best describes the sequence  -3, -1, 5, 23, 77 … ?…

A:

Q: ( if The vector is À = 21+ ai k - Find The value of (a). perpendicular to the vector B. where. BE4i…

A:

Q: Given the graph f(x) = || shift the two movable dots to display the following function:…

A: The graph of f(x) = |x| is given as

Q: EXERCISES 1.5 Is the function, whose graph is drawn in Fig. 7. continuous at the The following…

A: From the given graph, we have to find the graph is differentiable or not at the points x=0 and x=3

Q: If y=In (2-3x²) + 4e - 3x +9x, then f'(x) = 6x 2-3x² - 12 3.x e +9

A:

Q: What is f'(x) for f(x) = secxcscx? O sin²x-cos²x sin² x cos²x O sin x + cos x sin x cos x sin x cos…

A:

Q: when to use a trig subsitution?

A: Please see the below solution.

Q: The negative real solution to the equation is x = Number ex²_9_1 = 0

A: We have negative real value of x.

Q: Let v = (7,8). Suppose w E R² is perpendicular to v, and that ||w|| = 7. Find both possible vectors…

A:

Q: A stone is thrown from the top of a tall cliff. Its acceleration is a constant -32 (So A(t) = -32).…

A:

Q: Given y=In(2-4x2) + 2e-3x+9x, then y'= O True O False 8x 2-4x² 6 -3x +9

A:

Q: dy Find for ex+4y= y. dx

A:

Q: Find the derivative of the function. 3 2 + X g(x): = X + 93√x

A:

Q: y = 25x . 32x

A:

Q: Is the relation defined by the table functions of x? X y 1 -4 -4 5 2 3 LO 8 9 5 13

A:

Q: The values of A and B which make the differential equation (1 exact are: A = B e³y + 5 ln(5y)) dz +…

A: Ae3yx+5ln5ydx+6xe3y+Bxy+2dy=0 A differential equation Mdx+Ndy=0 called exact if ∂M∂y=∂N∂x and its…

Q: ind the indefinite integral. (Note: Solve by the simplest method-not all require integration by…

A:

Q: Determine the intervals over which the function shown below is continuous. Enter your answer in…

A: Consider the function

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A:

Q: QUESTION 6 For x-3, find f-¹(x) for f(x) = ln(x+3)

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If…

Q: A particle moves on the curve 4x2+52 = 24. When the particle is at the point (1, 2) its y coordinate…

A:

Q: Starting from the point (-3,-4, -1) reparametrize the curve in terms of arclength. r (t (s)) = i+ j+…

A:

Q: Calculate the derivative of the function. 6 √t (Express numbers in exact form. Use symbolic notation…

A: Topic- Derivative of a function We are given, h(t)=5t-6tand we know thatddxxn=nxn-1

Q: Consider the following. f(x) = 5 - 2x² - (a) Find f'(x). (b) Graph both f(x) and f(x) using a…

A:

Q: If y= X 1-x +7x+9, find y' .

A:

Q: A ladder 10 meters long is leaning against the wall of a house. The base of the ladder is pulled…

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

Q: For what values of k will the system of equations have: refer to the data below and show complete…

A: A system of linear equations Ax=b has  (i) Unique solution if Rank of augmented matrix [A:b]=Rank of…

Q: (5) The arc of the parabola y = r² from (3,9) to (4, 16) is rotated about the y-axis. Find the area…

A: We have to find the surface area.

Q: the answer is wrong

A:

Q: Find the limit, if it exists. (If an answer does not exist, enter DNE.) 8 lim (x, y) (0, 0) x 3 xy…

A:

Q: imat ******* w Orleans, Louisiana, and Memphis, Tennessee, lie approximately on the same meridian.…

A: New Orleans has a latitude of 30∘N  and Memphis has a latitude of 35∘N  Find the distance between…