b) Sketch the graph and find the points on the cardioid r=a(1+cos) at which tangent lines are horizontal. Also, find its surface area by revolving about initial line.

Q: Find the critical numbers and then the critical points of the functions. 3x². = - 2x +2 3 +1 Skech…

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

Q: Differentiate f(z)=cosz if z=x-iy, giving the appropriate region on which, the function is…

A:

Q: Prove that every Rieman integrale is Lebesque integral but the coinver not heed'

A:

Q: n 1 of 14, Step 1 of 1 er the graph and determine the open intervals on which the function is…

A:

Q: 1. Determine all possible solutions of ²u ex² = d²u oy ² by using variable separable method. 7

A: The given problem is to solve the given partial differential equation by using the method of…

Q: Let A be an mxn matrix. Prove that W = {x ER" | Ax = 0} is a subspace of R", where W is the solution…

A:

Q: อ พ พ 2 de 3 dxdy + 2y tanw = 0

A:

Q: 4. A water glass is shaped like a cylinder with height 9 in. and diameter 4 in. How many times as…

A: Explanation of the answer is as follows

Q: R(x) EIN 2 X = (²³ dx| -

A: Given vector is R→x = ∫0π2 sin2x3x+1,   lnx2-1,  xx2+1 dx

Q: Consider the linear system 3x+8y= == 175 143 6x - y = 128 Solve the system of linear equations using…

A:

Q: A boat is on the top of a flat lake (the top of the lake can be pictured as being on the xy-plane,…

A: Solution is given below:

Q: if I invest 1000 at 2% interest how long will it take to double my money

A:

Q: An object in rectilinear motion moves with velocity v. The table shows u (in meters per second) for…

A:

Q: 8. Explain which rules of inference are used for each step. "Somebody in this class enjoys whale…

A:

Q: Find the following using the table below. AN X 1 2 4 1 2 f(x) 3 4 ƒ'(x) 1 3 g(x) 1 4 2 3 g'(x) 1 3 4…

A:

Q: (a) Use the Midpoint Rule with n = 6 to approximate integral 8 x-6 S6 dx x+8 Write your answer exact…

A:

Q: 3. Consider the following matrix A= 3 1 -1 1 -1 4 1 1 5 a) Show that the matrix A is positive…

A:

Q: Q4: The following data represent weights for 25 items construct a frequency distribution table: 15,…

A:

Q: calculator to perform row reduct A = 4 2 24

A:

Q: Which of the following is a potential function f for F(x, y, z) = (2x cos(yz). -x²z sin(yz) + 2yz?,…

A: The potential function of the function: fx, y, z is ∇f and it can be defined as: ∇f=∂f∂x, ∂f∂y,…

Q: Given that f(x)=-3sin (2x) and g(x)=-3e*² + x³. Therefore, the correct f(x) g(x) is represented as…

A:

Q: Express the series in terms of elementary functions and find the where the series converges. ∞ n=1…

A: Given series is S=∑n=1∞9-nx The above series is geometric series with initial value a=9-x and common…

Q: Find the maximum and minimum values of the function and the values of x and y where they occur. F =…

A: F=5x+36ysubject to 6x+4y≤354x+6y≤30x≥0, y≥0

Q: A rectangular tank with a square bottom has base side lengths of 3 feet and a height of 10 feet is…

A: Given that the base of the tank is a square and shape of the tank is rectangular. Also base side…

Q: QUESTION 8 The data given in the Table below is produced from a model of the form: Y = (aX+b) s. 4 2…

A:

Q: 4. Solve (D² -3D+2)y=2x²eªx +5e³x.

A:

Q: Iff is a ring homomorphism from Zm to Zn such that f(1) = b, then b4k+2=bk. O True O False

A: Given : f : ℤm→ℤn is a ring homomorphism such that  f(1) = b To find :  Whether the following claim…

Q: Find the Fourier transform x(t) for the following figure -T T

A: We find the Fourier transform for the given figure.

Q: Problem 1 (20 points). Find the determinant of matrix A. A = 5 2 4 40-7 07 5 ∞ Ne 51 2 30 8

A:

Q: Find the arc length of the curve below on the given interval. y = In (x-√x² - 1), for 1 ≤x≤ √442…

A: Given y=lnx-x2-1, for 1≤x≤442   To Find: The arc length of the curve given on the given interval.

Q: A number-theoretic function f is said to be multiplicative if f(m,n) = f(m)f(n): :Select one O For…

A: Introduction: When the domain of a function is the set of positive integers or more precisely the…

Q: Using Laplace transform, solve y" - 3y' + 2y = 6 y(0) = 2 " y'(0) = 6

A:

Q: Question 1 (a) The following information was reported form the survey collected on customers'…

A: ANSWER (A): This is a non numerical data with categories as A, B, C, D. So, it is a categorical…

Q: Question 1 Consider the points A(2,-1,0), B(3, 0, -2), and C(0, -3, -1). (a) Find the equation of…

A:

Q: Consider the triple integral of f(x,y,z)=(z²)(x²+y²+z²)¹/² over the solid region S where z is…

A:

Q: The Eigen value of matrix p is (solve) ГО 0 LO 1 0 0 1 -3 -4] (0,-1,-3) O (0,2,3) O (0,1,3) O…

A:

Q: Find a particular solution to the differential equation using the Method of Undetermined…

A:

Q: 4 0 -7 075 5 1 2

A:

Q: The following argument shows that the premises "If it does not rain or if it is not foggy, then the…

A: Given that "If it does not rain or if it is not foggy, then the sailing race will be held and the…

Q: C is the line segment from (-1,0, 3) to (1, 3, 4), and F(x, y, z) = zi+xj+yk, evaluate Jo F.dr.

A:

Q: Fast

A:

Q: (2xy¹e³ + 2xy³ + y) dx + (x²y²e³ − x²y² − 3x)dy = 0

A:

Q: Consider the equation below y Using the following method, determine the smallest positive value of x…

A: Fixed point iteration slowly convergent to the root.

Q: Q.1: Solve the differential equation below; y' = e²x-1 y²

A: The given problem is to solve the given differential equation. Given differential equation…

Q: 3. PDE r + a²t = 0, has the solution : (a) z = ₁ (y + iay) + 0₂ (y - iay) (b) ₁(y + iax) = z (c) _z…

A:

Q: Justify your answer. Which of the following sets of linear equations cannot be solved using an…

A:

Q: Solve the congruence x² = 79 mod91.

A: The given problem is to solve the given quadratic congruence equation. Given congruence x2=79(mod…

Q: Question [ a) - b) [ . Evaluate [º : Show all your work. If (x + 2)√√x - 2dx then find f(x). c) […

A: a) The given integral is: ∫26x+2x-2  dx Let t=x-2, then x=t+2. Find the derivative dxdt:…

Q: What are quadratic équations, what would be the simplest way to understand them and what can I…

A: The quadratic equation is always of the form ax2+bx+c=0 or ax+b2+c=0 where a, b,c are real constant…

Q: Consider the Initial value problem ry' = y + r ln(r); y(1) = 2 (a) Estimate y(1.5) using Euler's…

A: Euler's method uses the formula: yn+1=yn+hf(xn,yn) to perform the iterations and approximate the…