əz Use the chain rule to find and Əs дz Əs дz at || n(=), z = tan əz at u = 5s + 9t, v = 9s - 5t

Q: Use a definite integral to find the area under the curve between the given x-values. from x = 1 to x…

A: By using a definite integral to find the area under the curve between the given the given…

Q: Find all the second order partial derivatives of g(x,y) = x³y + 3 sin (y) + 3y cos (x).

A:

Q: 3.2 Problems The linear systems in Problems 1-10 are in echelon form. Solve each by back…

A: Back substitution means putting the vale one of fixed variable into other.

Q: Find f''(x). 6 f(x) = √(x² + 3) 5 f''(x) =

A: To find double derivative of the given function.

Q: Find the limit. lim (x, y) → (4, -2) X (x²y + 6xy² + 3)

A: Given query is to find indicated limit.

Q: Use the shell method to find the volume of the solid generated by revolving the region bounded by…

A:

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of…

A: Topic - derivative of a function We are given that 4x2+xy+2y2-40=0 , (1,4)we know…

Q: 1. Let h(x) 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists a value c between…

A: Let's find value of x by using intermediate theorem.

Q: Find an antiderivative of x > 0. 9 x²–5 x4 x5 Antiderivative = in the variable x where Remember to…

A:

Q: Given the following approximation (1−2x)1/3 ≈ 1 − 2/3 x − 4/9 x2 , find the approximate value of…

A:

Q: Decide whether the given functions are inverses. x f(x) x g(x) 5 5 5 5 -6 4 -4 -9 6-2 4-6 -9-4 -2 6…

A: To determine whether the functions f and g are inverses to each other. x fx 5 5 -6 4 -4 -9…

Q: Evaluate the following limit. Enter the exact answer in fraction form, if necessary. To enter ∞o in…

A: NOTE: Refresh your page if you can't see any equations. . the given function is  the degree of the…

Q: Let the function f be defined as follows. x² x - 20 x = 5, 10, x = 5 Which of the following…

A:

Q: The slope of the curve f(x)=x^(2)+4 at point (-1,4) is

A:

Q: Solve the exact equation ( 1⁄2 + 2x) dx + ( + + 2y) dy = 0. x Y The solutions are of the form F(x,…

A:

Q: (a) Estimate the area under the graph of the function f(x) = from x = 0 to x = 4 using a Riemann sum…

A: Given: f(x)=1x+4 from x=0 to x=4 and n=10

Q: Find the general solution of the differential equation: What is the integrating factor? μ(t): = Use…

A: The given differential equation is;  dy/dt - 3y/t = t3et.

Q: Find the area of the region enclosed byyy=2, and the y-axis.

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

Q: unit is $580 per month, all 50 units are occupied. However, when the rent is $625 per month, the…

A:

Q: The curvature of the helix r(t) = (a cos t) i + (a sin t)j + bt k (a,b20) is k=- 2,2 a+b What is the…

A: Given helix:- rt=acostiasintj+btk

Q: 2. Draw a graph of a function that has a horizontal asymptote at y = 2 and two vertical asymptotes,…

A: To draw a graph of a function that has a horizontal asymptote at y=2 and the two vertical…

Q: ector equation for this line is r(t) = (5, -4, 3) + t1, 4, - ½)

A:

Q: Use the given information to find the indicated probability. A and B are mutually exclusive.  P(A) =…

A: GivenP(A)=0.8P(B)=0.1A and B are mutually exclusive   We are required to findP[(A∪B)']

Q: For the function f(x,y,z)= In (4x + 7y + 10z), find fx. fy, and f₂.

A: Detailed solutions are given below.

Q: Using the definition, calculate the derivative of the function. Then find the values of the…

A:

Q: Write out the form of the partial fraction decomposition of the function (See Example). Do not…

A:

Q: Write the area A of an equilateral triangle as a function of the length s of its sides. STEP 1:…

A: Given A = area of the equilateral triangle s = side length b = base h = height

Q: Use a graph of f or some other method to determine what, if any, value to assign to f(a) to make f…

A:

Q: Əw du aw expressing w directly in terms of u and v before differentiating. Then evaluate and ди Əv…

A:

Q: = x = 4√y,x= -7y, Use the shell method to find the volume of the solid generated by revolving the…

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

Q: Find the values of the constants A and B if cosh() dx = A ln(3+√8) - B√2

A: Given: ∫39cosh-1x3dx=Alon3+8-B2 To find: The value of A and B

Q: Q.#7 Source: Stewart Ed. 8, adapted from P. Wilkinson et al. The average blood alcohol concentration…

A: We have given value of c(t).

Q: 1 b Given: (x is number of items) Demand function: d(x) = 370.3-0.4x² Supply function: s(x) = 0.3x²…

A:

Q: find the integra

A: we hav to evaluate the integration ∫x4+x-4x2+2 dxsince  the expression  x4+x-4x2+2 = (x2-2)+xx2+2

Q: 1. Let h(x): = 4x³ + 3x - 2. Use the Intermediate Value Theorem to show there exists x = 1 and x = 2…

A: Given query is to apply IVT.

Q: Find the limit. x²y + xy² lim (x, y) → (3, −2) x² - y² X

A: We need to find out the given limit.

Q: find equation for line parallel to y=4x-6 with y-intercept (0,3)

A:

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) |x|…

A: As we know from the absolute rules: 1). -x=x, where x>0 2). x=x, where x≥0 3). xy=xy   Given:…

Q: Use properties of limits and algebraic methods to find the limit, if it exists. (If the limit is…

A: here we have to find the limits.

Q: Match the graph with its corresponding function. +++ -10 -5 ņ O g(x) = (x - 3)2 O g(x)=x²-3 O g(x) =…

A:

Q: 3. Evaluate the limits. Determine ±∞ when appropriate. Be sure to show intermediate steps. (a) lim…

A:

Q: Use technology to find f'(3), f'(16), and f'(-3) for the given function when the derivative exists.…

A:

Q: Q1: Gasoline sold for RMB 8.72 per litre in Beijing and US$ 5.49 per gallon in Seattle. Find the…

A: Using converter price and quantity

Q: In an effort to reduce its inventory, a warehouse runs a sale on its least popular Blu-ray discs.…

A:

Q: number of 3D movies released in a country in recent years is approximated by f(x) = x². 29 and…

A: Given query is to find rate of change in 2029.

Q: Use the following two complex numbers to answer the remaining questions: z1= 3cis(30°) z2=…

A: Given that , z1=3cis30° and z2=4cis-120° Convert to rectangular form. Then graph both complex…

Q: (-2i)+(4-3i) Write your answer as a complex number in standard form.

A: Given that : (-2i) + (4-3i) and we write this as a complex number in standard form.   We know that…

Q: In each of Problems 9 through 16: a. Find the solution of the given initial value problem in…

A: Given that a initial problem and we find its solution and plot the graph of this problem solution.…

Q: Find the indefinite integral. Remember to include a "+ C" if appropriate. Enclose arguments of…

A:

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9