dx What is where dy' 3 x³ + y³ = 3xyusing implicit differentiation? dx y- dy dx = dy y²_ dx y+x² = dy y² +x dx y+x² = dy y²-x = 32

Q: using determination of integrating factors y (y^3-x) dx + x(y^3+x) dy=0 Attpemt only you can solve…

A:

Q: Find a number in [0,1] such that the difference of 1/3 the number from its cube is minimized.…

A:

Q: D Question 8 For the function y = (x - 2) Inx what are the two x intercepts, and between the two…

A:

Q: 4. Find the area of the region enclosed by x = 2y+3 and x = y².

A:

Q: Find the integral. [col³ (x) csc ³¹ (x) dx (Use symbolic notation and fractions where needed. Use C…

A:

Q: Solve this question yey = 1

A:

Q: Find the partial derivative of z with respect to x z = (3x² + 1) cos(x²y). əz = -2x (3x² + 1)…

A: Given function z=(3x2+1)cos(x2y)

Q: Find the volume of the solid generated by revolving about the y-axis the region in the first…

A:

Q: Consider the solid of revolution obtained by revolving about the x-axis the region in the first…

A: To find; The volume of the solid of the revolution obtained by revolving about the x-axis by disk…

Q: If the graph of f has a horizontal tangent line at x = c and f" (c) is negative, which of the…

A:

Q: On which of the following intervals is the function f(x) = x3 differentiable? (0, +∞0) 0 (-00, +∞0)…

A:

Q: what is Newton's method A. used for? B. Use Newton's method (3 iterations) to estimate the solutions…

A: Solution: A.) The Newton-Raphson method is one of the most widely used methods for root finding.

Q: A ball is thrown eastward into the air from the origin. The initial velocity is (50, 0, 80), with…

A: Solution  As per given data, Initial velocity 'v'=(50,0,80) Acceleration vector 'u'=(0,-4,-32) As…

Q: For the function f(x) given below, where x > 0, evaluate lim f(x). X18 f(x) = ln(9x³ + 10) - In(2x²…

A:

Q: e2x (x²-4) Given: y = Determine the following: a. Symmetry b. Intercepts c. Vertical Asymptote/s d.…

A:

Q: Find the area of the triangle with the given vertices. (Hint: 1/2 ||u ✕ v|| is the area of the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: d- dx3 ax d² y dx² +6- 15 dy dx Q.2-Solve the differential equation 100y = 0

A:

Q: Q.2-Solve the differential equation (answer three questions only) lo d. y""-6y" +12y' - 8y = 0

A:

Q: Find all the local maxima, local minima, and saddle points of the function f(x,y) = x² + xy + y² +…

A:

Q: Which of the following is/are given by f'(c)? I. the slope of the tangent line to the graph of f…

A: Given problem:- Which of the following is/are given by f'(c) ? I. the slope of the tangent line to…

Q: (a) Does the point P(1, 2, -1) lie on the line & given by the vector equation (x, y, z) = (2, 1, -2)…

A:

Q: If 2x + 3y = à and -x + 5y = 6b, express x and y in terms of à and b.

A:

Q: For the function f(x)=x^3-3x+1 defined on the interval -3 ≤x≤3. Find absolute maximum and minimum…

A:

Q: X-6 The equations x+y=6 and y 9 8 7 6 5 4 1 -10-9 -8-7 -6 -5 -4 -3 -2-10 -1 -7 -8 -9 -10 Determine…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Find the area between the y-axis and the graph X = 127 124 y² 2 1 -3 -2 -1 2 о T 4 3 0 -1 -2 1 on…

A: We are asked to find the area of the shaded region.

Q: A balloon which maintains the shape of a sphere is being inflated. The rate of change of its volume…

A:

Q: Solve the given differential equation by separation of variables. y In x dx x dx = (x + 1)² 12/2+2 =…

A:

Q: Find the first partial derivatives of the function. f(x, y) = x6y3 + 4x7y

A:

Q: 5 Sketch an angle 0 in standard position such that 0 has the least possible positive measure, and…

A:

Q: 11. f(sinx+x) dx

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: Given z = 7t - 43 and y = 49 sin t dy (i) de to (ii) (1₂)

A:

Q: Find the second order partial derivatives, a'z for the following equation дхду z = x cos y - y cos x

A:

Q: 3. f(x) = x-4 x+5

A:

Q: Consider the following graph of a function f(x) 4 A. For what value(s) x is f discontinuous? If f is…

A: Since you are asking a question with multiple subparts, therefore we are answering only the first…

Q: The revenue in dollars for a product is given by the function R(x) = 36x -0.01x² where x is the…

A: To find average rate of change in revenue as x varies.

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3, 3] is sho below:…

A: Here, the function is continuous on: (-3,-1)∪(-1,3)

Q: Assume and y are functions of a third variable t. If xy = 30 and 0-6 0-30/5/20 O-12 0- 10, find dt…

A:

Q: What is the limo+ sin(y) In(y)? For answers write... that are in decimal form and round off to…

A:

Q: Find the area under the graph of x = 4 - y² on the interval [0, 2]. -3 -2 -1 1 2 3 → 1 0 -1 16 3 16…

A:

Q: (y^3 - x^3) dy = (3y•(x^2) +1) dx Solve exact diff eq

A:

Q: 7. Find the volume of the solid generated by revolving about the y axis the area between the first…

A: Concept: According to the shell method, the volume by revolution about the y axis is…

Q: Given: xIn y + y²z + z² = 8 Find: дх дz -(x + 2y² z) y(y² + 2z) -y ln y x + 2y² z - In y у2 + 2z -у²…

A: Let's find derivative of given function.

Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity (feet/second) t…

A: To find the hight change.

Q: Let f denote a piece-wise defined function whose graph on the closed interval [-3,3] is shown below:…

A: we have given the graphf will be decreasing in itervals where its slope is negativewe can observe…

Q: Differentiate the following functions. You do not need to simplify, but you must show all your work.…

A: Differentiation with steps need to be done.

Q: Solve the Homogeneous Equation using the given substitution. State the value of a. a= x² - y² - xy =…

A: As per the given condition I have to use the substitution y=vx such that dydx=v+xdvdx

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Given

Q: Find the angle between two vectors: A=31+4j-5k, (1) Scalar product. (2) vector product. B = 3i+4j+5k…

A: To find the angle between two vectors: A→=3i^+4j^-5k^, B→=3i^+4j^+5k^ by using: 1 Scalar product2…

Q: 3 f(x) = x³ + 2 right left [-1,1] n = 2 9=1 & middle hand rule b =

A: find out the left, right and mid riemann sum.

Q: Question 4 Find the limit. Use L'Hospital's Rule where appropriate. If there is a more elementary…

A: We need to evaluate limit.