What is the value of k so that the equation (y³+kxy4 - 2x)dx + (3xy² + 20x²y³)dy = 0 becomes exact? A. 5 B. -5 C. 10 D. -10 E. None of the Choices

Q: 3. Evaluate the following indefinite integ a) f dx 1 x ln(X)

A:

Q: The associative properties state that (a + b) + c = -= a(bc). and

A: Given data:- The associative property states that, a+b+c=??=a(bc)

Q: The radius r of a sphere is increasing at a rate of 4 inches per minute. (a) Find the rate of change…

A:

Q: Find the length and width of a rectangle that has the given perimeter and a maximum area. Perimeter:…

A:

Q: 2. Identify an inner function u = g(z) and an outer function y = f(u) of y=e=¹+2 3. Express Q(z) =…

A: Solution

Q: Solve the following differential equations. Question 5 ( cos2x - y cos x ) dx - ( 1 + sin x ) dy = 0…

A:

Q: 2. The schooner Roseway travels due east for 7 nautical miles. Then, the schooner changes course and…

A: Pythagoras theorem is used

Q: Evaluate the integral: x = 49 tan (0) 49 sec (0) F 0x = 30x² - dx (A) Which trig substitution is…

A:

Q: The limit  lim  x-> 0  e^x-1/x  equals a derivative f' (c), for some function f(x) and some real…

A:

Q: On part b does it say north west? Or north east?

A:

Q: Evaluate the integrals. Making use trigonometric Substitutions. dx (a^² + x²³²) ³/2₂ St

A: The given integral is 1/(a2+x2)3/2. Repost the next questions.

Q: Standard Equation Axis of Symmetry Vertex Focus Directrix Direction of Opening Length of Latus…

A:

Q: 2. xdy-√√x² + y²dx = 0

A:

Q: ● The term marginal is used in business and economics to indicate a rate of change, and therefore, a…

A:

Q: A tank contains 2240 L of pure water. A solution that contains 0.07 kg of sugar per liter enters a…

A: Given initial amount of water in tank is v(0) = 2240 L Let v is volume in L, x is amount of sugar in…

Q: Consider the equation y" - 36y = 6 cos (6t) + 6 + e6t. According to the method of Undetermined…

A: Please see the below picture for detailed solution.

Q: Calculate the lengths of all of this triangle's sides. X = y = Z= 64 cm² y x 225 cm²

A: area of square = (side)2

Q: Consider the function f(x) = S|1-x²| cos(x) x ≤ 0 x>0 (a) Evaluate the function at x=2. Enter your…

A: The given function fx=1-x2x≤0cosπ2xx>0 We have to sketch the graph of the function and find the…

Q: 4. Which of the following quadratic functions have roots at x=3 and x=-2? Choose all that apply. (A)…

A:

Q: 47xy Compute the second-order partial derivative of the function g(x, y) = (Express numbers in exact…

A: The given function is g(x,y)=47xyx-y ..................................... (1)  We have to find the…

Q: Initial condition. 14. Differential equation: Initial condition: dr dt r(0) = i + j = (t³ + 4t)i +…

A:

Q: List the intercepts of the equation y = x2 - 9.

A: The given equation, y=x2-9

Q: What is a periodic function? Give examples. What are the periodsof the six basic trigonometric…

A: Function: In mathematics, a function is an expression, rule, or law that establishes the…

Q: Find the extrema and/or the saddle points of the functions. a) f(x, y) = 9 - 2x + 4y − x² − 4y²

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Eliminate the Arbitrary Constant in the ff. equations: 3 a. x - 2 3x y = C

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

Q: A car rental agency charges $200 per week plus $0.20 per mile to rent a car. a. Write an equation…

A: Given data : Car charges by rental agency $200 per week and $0.20 per mile to rent a car.

Q: A construction worker pulls a five-meter plank up the side of a building under construction by means…

A:

Q: determine if it diverges or converges 2. n=1 2n e²n n

A: See this solution in below.

Q: Find (without using a calculator) the absolute extreme values of the function on the given interval.…

A: Given function is defined on closed interval and function is continuous and differentiable on the…

Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2 9x + 5x + 10 [⁹x² +…

A:

Q: 1. y = x³ (sin(lnx) - cos(lnx)) 2. y = ln 1+sinx 1–sinx (use properties of logarithms)

A:

Q: Use the Chain Rule to compute the partial derivative. ə -In (6u² + uv) = 0 du

A: To evaluate: ∂∂uln6u2+uv According to chain rule : If y = f(g(x)), then y’ = f'(g(x)).g'(x)

Q: D. Solve the Bernoulli's DE: dy dx 4y³ (x²+4). ·+ 4xy¹ = (x² + 4)²

A: The given equation is; 4y3(x2+4)dy/dx + 4xy4 = (x2+4)2.

Q: Find the union: (7, 8, 9, 10, 11} U {6, 8, 10, 12}.

A: To find the union of 7,8,9,10,11 ∪ 6,8,10,12 .

Q: [12] On the open interval (0,47), find the domain of the vector function r(t)= cot 20 ( 121 ) ₁ +…

A:

Q: Question 25 Given the function: f(x) = O a= =7,6=3 O None of the choices O a=-3, b= O a = 3, b=²…

A: This question is related to continuity, we will solve it using given information.

Q: please indicate email and solution. thank you

A: To find whether S is linearly independent or not.

Q: Evaluate the integral: 0x = 10 tan (0) 10 sec (0) 100 sec (0) (A) Which trig substitution is correct…

A: As per our guidelines we can answer only 3 subparts of the given question. So kindly repost the…

Q: Evaluate the limit: limx→ N|C 00 0 3 None of the choices 0 ∞ 3x²-4x+5 2(x+1)²

A: To evaluate the given limit of the function.

Q: For the function y = (32-2)(3x+3Az-2) 2+A+3 2043 Ja+Aa-2 $8-2 Ar O None of the choices -13…

A:

Q: An air traffic controller spots two planes at the same altitude converging on a point as they fly at…

A: We can solve the given problem by using the implicit differentiation.

Q: Solve the ff. first order DE using Exact Equations b. (y² − 2xy + 6x)dx − (x² - - 2xy + 2xy + 2)dy =…

A: To solve Differential equation.

Q: 1. Let y=f(x)=x² 4x + 1 (a) Use the definition of the derivative to find the derivative f'(x). No…

A:

Q: Consider the second order differential equation dy Answer: dx Note. Your answers should be functions…

A:

Q: The weekly demand equation given by p+ x + 4xp = 55, where x is the number of thousands of units…

A: Given query is to find the rate of change of demand.

Q: 5. y = x²lnx 6. y = e-*csc2x

A:

Q: TT/4 10. 1. [sec ti + tan² tj-t sin tk] dt Initial Value Problems

A:

Q: b. For each of the following, determine whether f is a bijection or not. If so, prove it. If not,…

A:

Q: Find the equation of the plane that is perpendicular to the curve  C(t) = at t = π

A:

Q: Solve the ff. first order DE using Separation of Variables 2 a. xy¹dx + e*dy = 0

A: