Given y=x2 ─5x+4, find: a) vertex b) x-intercepts(s) c)y-intercepts(s) d) axis of symmetry e) minimum or maximum point

Q: sketch the graph of the ellipse defined by each. the following equations. Transform the equation of…

A: We can find standard equation of ellipse and about ellipses.

Q: Write the equations in cylindrical coordinates. (a) 5x² - 7x + 5y² + z² = 7 (b) z = 2x² - 2y²

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Q: Integrate counterclockwise f²+2 dz, C: 12-11 = 4 Soz-2

A: The given integral ∮Cz+4z-2dz, C:z-1=4. We have to find the value of the integral.

Q: x and y intercept of the function

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Q: Q2 Use the method of undetermiend coefficients to find the general solution of y(3) - 3y" - y =…

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Q: 1. Solve the DE shown below using Reduction of Order; n = :2 y" - n²y = enx

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Q: Prove that essays (a) If A is open and B is closed, then A - B is open; (b) If A is closed and B is…

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Q: Suppose a pendulum of length I meters makes an angle of radians with the vertical, as in the figure.…

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Q: Find a function that models the simple harmonic motion having the given properties. Assume that the…

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Q: Find the Taylor polynomial of order 3 generated by fat a. f(x) = ln x, a = 6 O P3(x) = In 6 +X-6…

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Q: (a) V = R³, S = I 18 (b) V = R³, S = Y : 5x - 2y + 8z = 1 N 484 : x = y² S N Answer to (a): Answer…

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Q: Evaluate the given integral by making an appropriate change of variables. x - 4y 16.6. -dA, where R…

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Q: 19. y" + y = t, 2-t, 0, 0 ≤ t < 1, 1≤t < 2, 2 ≤ t < ∞0; y(0) = 0, y'(0) = 0

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Q: Let W be the subspace of R³ spanned by the vectors 1 and 0- Find the projection matrix P that…

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Q: Describe in words the surface whose equation is given. 57T 1 the plane perpendicular to the xy-plane…

A: Given: φ=5π6 Describe in words the surface whose equation is given.

Q: Find Fourier series of ?(x) = { TT, -IT, -1<x<0 0<x< 1

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Q: For this question, recall that a Carmichael number is a composite number n such that an-11 mod n…

A: Since you have posted a question with multiple subparts, we will solve the first three subparts for…

Q: salaries The monthly salaries of employees of a construction company is normally distributed and…

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Q: Find a parametric description r(t) for the full circle going through the point (0, 9). Provide your…

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Q: Plot the points whose coordinates are given. a. 2, 2п b. 1 3, п 3п '4 C S F1

A: The given problem is to plot the given points whose coordinates are given cylindrical and spherical…

Q: Find the Riemann sum for f(x)= sinx  0 ≤ x ≤ 3pi/2  with six terms taking the sample points to be…

A: The given function fx=sin x, 0≤x≤3π2. We have to find the Riemann sum using right endpoints.

Q: Consider the group S9, a group with 9! = 362, 880 = 27.34.5 7 elements. (a) Find a subgroup with 7…

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Q: Suppose A is a 5x5 singular matrix. What is the value of det (2A) ?

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Q: Donald owes the bank $9450. To repay his debt, he paid a fixed amount back to the bank each month.…

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Q: A duct from a furnace forks into two ducts. The air coming into the two ducts two ducts was 2,800…

A: The system of equations can be solved graphically or algebraically. The method of substitution and…

Q: Compute the pseudo inverse of A

A: Given: A=100101011111  To find: Pseudo inverse of A.

Q: 1 b) i) Find the stationary point of the function y = x. Note that e In(x). = ii) You are told that…

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Q: Sketch the graphs of the following functions. Show all work. a) f(x) = x √√x²-1

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Solve ∆ABC. Round to one decimal place where necessary. The “triangle” may have no solution or may…

A: We will use sin and cosine rule for triangle

Q: in this case, what is d?

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Q: Question Determine the degree of the Maclaurin polynomial necessary for the error in the estimate of…

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Q: Suppose c is any integer. If c mod 15 = 3, what is 10c mod 15? In other words, if division of c by…

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Q: Consider the function f(x) 1 = 1+24 1 1+24 (a) Find the power series representation of centered at…

A: Since you have asked multiple questions, we can solve first question for you. If you want other…

Q: Given V = {(x, y) |x>0} where (21, 31) (x2, Y2) = (x₁x2, Y₁ + y₂) and co (x, y) = (xe, cy), which…

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Q: Can the following scenario occur? Explain. There are 95 students who play at least one of football,…

A: Let the set of student who plays football is denoted by A, who plays basket ball is denoted by B and…

Q: Prove the statement, or give a counterexample. a) Every interval of real numbers with usual metric…

A: The given statements a) Every interval of real numbers with usual metric is a complete metric space.…

Q: 1 SS √ ₂ 20² + y² + 2² Evaluate x² + y² + ₂²: dV, where E lies between the spheres x² + y² + z² = 1…

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Q: Use cylindrical coordinates. Evaluate JJJ + y² dV, where E is the region that lies inside the…

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Q: Let T: R3→R3 be a linear transformation. Find the nullity of T and give a geometric description of…

A: The nullity of a linear transformation is the dimension of the null space of the linear…

Q: (8) For each function below, decide if it is injective, surjective, both, or neither. Justify your…

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Q: You choose how much time a day to devote to sleeping (s) and fun (f). Suppose you get utility, which…

A: Given maximization problem can be summarized as…

Q: A man wants to adopt a puppy from an animal shelter. At the shelter, he finds eight puppies that he…

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Q: ax+by = c. - 7 a The sum, S,, of the first n terms of an arithmetic progression is given by S first…

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Q: Consider the following infinite series. Complete parts (a) through (c) below. 4 Σ (4k-2)(4k + 2) k=1…

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Q: The amount of nitrogen (in lb/acre), phosphate (in lb/acre), and labor (in hr/acre) needed to grow…

A: (a)  Let x acres of honeydews, y acres of yellow onion and z acres of lettuce According to given…

Q: The parametric equations for a line L₂ are as follows: x = 2+6t y = -4-6t z=-1+2t Let L₂ be the line…

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Q: 1 E x² + y² + JIS Evaluate 2 x² + y² + z² dV, where E lies between the spheres z² 2 = 25 and x² + y²…

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Q: w using Exponential Shift; m = 2 & n =4 y" + 2y' + y = menx

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Q: y""+ 2y" 19y' - 20y = 0

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Q: n=1 (4)n-1 u6

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