Let z(x, y) = = xy where x = r cos(70) & y r cos (70) & y = r sin(-90). მ მ- მე მყო მყ მთ მყ Calculate & by first finding & , მ მძ მუ’მ’მ0 , 0 and using the chain rule. Note: To produce the ) symbol, type the word "theta". მ = მო მz ᎧᎾ =

Q: Write down the iterated integral which expresses the surface area of z = y cos³ x over the triangle…

A: The objective of the question is to find the iterated integral that represents the surface area of…

Q: Find the solution of the differential equation x In x = y(1 + √3 + y²)y' that satisfies the initial…

A: solution of the given question is like this:

Q: Ensure that  full solutions include a labelled diagram with units (where appropriate), variables are…

A: The objective of this question is to find the time at which the concentration of the medication in…

Q: x+7 3. lim (A) -1 is x-7 | x+7 (B) 0 (C) 1 (D) nonexistent

A:

Q: A particle travels along the x-axis such that its velocity is given by v(t) the position of the…

A: Step 1: Write the given. Step 2: Write the equation needed. Step 3: Do the algebra. Step 4: Finalize…

Q: Evaluate the surface integral F(x, y, z) =xi+yj+6k F. ds for the given vector field F and the…

A: Step 1:Step 2: Step 3: Step 4:

Q: Consider the following shaded region. УА y=ax-x² y=b.x x Find the area S of this region if a = 4, b…

A: To find the area between the curves (y=4x−x2) and ( y = 2x ), we need to determine the points of…

Q: 13. Explain how to determine the maximum and minimum of f(x)=12x-x³ on the interval xЄ[-3,5]. You…

A: To determine the maximum and minimum of the function f(x) = 12x - x³ on the interval [- 3, 5] you…

Q: 17. A spherical snowball is melting in such a way that it maintains its shape. The snowball is…

A: So, the rate at which the radius of the snowball is decreasing (dr/dt) at the instant when the…

Q: 2 Use the substitution u = x² +4 to evaluate the following indefinite integral. √2x(x²+4)³ dx Write…

A: Given Indefinite Integral is ∫2x(x2+4)3 dx. Given substitution is u=x2+4. The integrand in terms of…

Q: Do part C only without PMI.

A: Step 1: Part C. Without using the principle of mathematical induction (PMI). Given the…

Q: Given the following acceleration function of an object moving along a line, find the position…

A: To find the position function s(t) given the acceleration function a(t) = −24 and the initial…

Q: PLS HELP ASAP ON ALL

A: Step 1:​f(x)=3x−5​→(i)f′(x)=dxd​3x−5​Using the Power…

Q: do both parts of the problem , following each of the different directions properly and correctly,…

A:

Q: Given f(x, y) = 12√√/6x4 + 7y+ 3xy6, find fx(x, y) fy(x, y) = =

A: Step 1: Step 2: Step 3: Step 4:

Q: No handwritten responses. I need help with a step by step breakdown explaining each step for the…

A: Approach to solving the question: Given:p = D(x) = 25 - 0.001x2p = S(x) = 5 + 0.1x At equilibrium,…

Q: Consider the function below. f(x) =    x2 + 3  − x (a) Find the vertical asymptote(s).…

A: The objective of the question is to analyze the function f(x) = x^2 + 3 - x in terms of its…

Q: 1. Consider the area enclosed between the circle x^2 + y^2 = 4, the line y = 3, y = x, and y = -x…

A: Step 1: Step 2: Step 3: Step 4:

Q: Help me solve this with all steps

A: Ans(a):Ans(b):Ans(c):

Q: an animal breeder wants to create four identical adjacent rectangular pens, with a total area of…

A: Step 1:  Supposed that the rectangular fences are illustrated as below:Let a & b are the…

Q: H.W: replace the following polar equations by equivalent Cartesian equation, then describe or…

A:

Q: 3 Let x³ + 5y³ +5z³ - 5xyz + 581 = 0. Use partial derivatives to calculate point (—6, −5, —2). Əz…

A: Thanks for your patience.Kindly comment if you need any clarifications.

Q: 2. (a) Given that (2 + x)" (1-x)" =+ pa³+qx²+7x+s, determine the values of P.4.9, and s. (b) Without…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL

A: Step 1:

Q: A person starts walking from home and walks: 5 miles East 3 miles Southeast 3 miles South 7 miles…

A: Step 1:Step 2:Step 3:

Q: Q2: Evaluate the following integrals 1) S dx sinx 2√√2x (5+√√x) 2)S x sinx cosx dx 3), (Vi-x2)sin-1x…

A: Step 1:

Q: 3. Sketch the curve with the given polar equation. (a) r = 2 sin 0 (b) r = 3(1 cos 0) (c) r=sin(30)…

A: Step 1: Step 2: Step 3: Step 4:

Q: t (minutes) 0 5 10 15 R(t) (people per minute) 100 100 75 55 55 55 5. During an evacuation drill,…

A:

Q: Find all points of intersection of the following pairs of curves and set up the definite integrals…

A: A) To get points of intersection between the 2 curves, we equate their equation:5+2sinθ = 3cscθ…

Q: dy 13. Let y = f(x) be the solution to the differential equation = x + 2y with initial condition…

A: If you have any questions let me know in comment box thankyou for your question.

Q: 30. If the power series Σa,(x-4)" converges at x = 7 and diverges at x = 9, which of the following…

A: Step 1:

Q: 4. |f x=47+2j-ky=-3i+5)+4k, and ----]+2k, determine 2x+4y-

A: Step 1: Step 2: Step 3: Step 4:

Q: Complete the proof of the identity by choosing the Rule that justifies each step. COS X s²x (1+ +…

A:

Q: A continuously decreasing function that is concave down on the interval [0, 4] is represented by the…

A: I hope the explanation is clear. Please let me know if you have any further doubts. I'm happy to…

Q: in his model for storage and shipping costs for a manufacturing process, a researcher develops the…

A: Step 1: First, simplify the equation of the storage.Step 2: Then, differentiate the equation with…

Q: (a) Find a parametric equation for the line through the point (1,6,2) and in the direction of ai +…

A: Thank you

Q: Find the sum of the series below with a simplifed answer.  Answer "DNE" if the sum doesn't exist

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the vector parametric equations for the line. in the direction of the vector 21 – 4j – k and…

A: If you have any questions let me know in comment box thankyou for your question.

Q: Write the following numbers in the polar form reio, 0 ≤ 0 < 2π: (a) 1 r (b) 99i r (c) -3-3i r , 0 =…

A: Step 1: Step 2: Step 3: Step 4:

Q: 9) (15 points) The internal energy U of a gas can be expressed in the form U=f(p,V,T) with variables…

A: Hope this is clear to you, if any query then raise it.Kindly do rate this helpful....Thank You

Q: Given log A=3.227 and log,B=0.201, evaluate log AB. A. 3.026 OB. 16.055 O C. 0.649 OD. 3.428

A: The objective of this question is to find the value of log AB given the values of log A and log B.

Q: Please answer the following parts a-c. If you can only answer two parts, please answer b and c.…

A: Step 1: a. Area of the region RStep 2:b.  Step 3c.

Q: Simplify the following expression using identities: sin(x + B) cos(a)cos(B) →Choose the best…

A:

Q: Write and evaluate the definite integral that represents the volume of the solid formed by revolving…

A: Step 1: Step 2: Step 3: Step 4:

Q: PLS HELP ASAP ON ALL

A:

Q: The weekly revenue realized by a company is approximated by the revenue function R(x, y) = 650x +…

A: Given:Revenue function: R(x,y)=650x+350y−5x2−4y2Weekly production range:Product A: 40 ≤ x ≤ 50…

Q: dy . Use Logarithmic Differentiation to find for the function given below and simplify. dx y =…

A: Step 1: Step 2: Step 3: Step 4:

Q: A greenhouse owner has 600 hostas available for sale. If he charges $4.00 for each plant, he will…

A: To determine the selling price that maximizes the greenhouse owner's revenue, we need to calculate…

Q: Find the absolute minimum and absolute maximum values of f on the given interval. f(t) = tsquare…

A: The objective of this question is to find the absolute minimum and maximum values of the function…

Q: The internal energy U of a gas can be expressed in the form U=f(p,V,T) with variables defined by: p…

A: Step 1:Use Ideal gas Law;PV=nRTInternal energy can be related to ideal gas…