Write the given expression in the form f(x)= a(x-h)² + k. Identify the vertex. f(x) = 2x² - 5x+1 Choose the equation below. O A. OC. 40x)=2(x + 2)² - 17 8 100)=2(x-2)² +1 ...... OB. OD. The vertex is (Type an integer or a simplified fraction. Type an ordered pair.) 5 23 16x) = 2 (x - 2)² - ²/3 106)=2(x - 2)²-1/72 8 19/06/2023

Q: Obtain the general solution (t+y+3)dt-dy=0

A: We have given that Obtain the general solution:

Q: 15. l im x-1 a. 1 2 tan a. 2 -1 16. Assume that f(x) = a. 1 17. If g(x) ≤ f(x) ≤ a. - 3 x-1 a. 1.02…

A:

Q: Convert -27 degrees Fahrenheit to degrees Celsius. 5 Use C = (F32) for the conversion between…

A: Let us convert temperature in degrees Fahrenheit to degrees Celsius using the convergence formula…

Q: The surface area of an open cylindrical tank is 68 m^2. If the diameter is 2/3 of its height, what…

A: Given  that the  surface area of  the open cylinder tank           and  the diameter  is  height  of…

Q: 9. For f(x) = sin(2x+)+2: (a) Complete a table of values for the "key" points. (c) Write a mapping…

A: Dear Student, According to Bartley by Guidelines we can answer only first three subparts. Please…

Q: Let f: [a, b] → R be a continuous and strictly increasing function which maps the interval [a, b]…

A: Given that  is a continuous and strictly increasing function which maps the interval [a,b]…

Q: A. Let V = L(R², R³). Let U = {T € V : T(x, y) = (ax, by, 0) for some a, b ≤ R}. a) Prove that U is…

A:

Q: Consider the following. y = f(x) (a) By reading values from the given graph of f, use five…

A: Thegraph of the function y=f(x). To find :The area of the region under the graph of the function…

Q: Give the equations of any vertical or slant asymptotes for the graph of the rational function. f(x)=…

A:

Q: Let K and E be the extension of a field F with  [K:F] finite and assume that both K and E are…

A: Given:- K is a Galois extension of F.- K and E are both subfields of some larger field.We need to…

Q: Let K be the splitting field of f(x) = F(x) and let p(x) be an irreducible factor of f(x) in F(x).…

A:

Q: The ancestors of vertex v are . The descendants of vertex t are . Draw the subtree of the tree in…

A: Let us write the definitions first :An ancestor of a node is any other node on the path from the…

Q: Solve the initial value problem. (cosx)(dy/dx)+ysinx=6xcos2x, y(pi/3)=(-4pi2/3)

A:

Q: A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations…

A: The revenue    of a company is given by the product of the price    and the quantity    of the goods…

Q: Evaluate ∞ 0 COs ax x² +1 2 -dx

A: Here we have to evaluate the given integral.

Q: Let R be a commutative ring with unity and let S ‡ R be an ideal of R. Then R /S is an integral…

A: Integral domain and prime ideal.

Q: Calculate Riemann sum for function f(x) = x2 - 1 for interval [-1; 3]. For this use partition P =…

A: The given function in the interval .We have to find the right endpoint Riemann sum using the…

Q: Find the given inverse Laplace transform. e-² [5²2²25) a. −1+e²t b. e²t+2sin(2t) c. 2(1-e-²¹) d.…

A:

Q: diverges. Find the exact value that the series converges to, or else conclude that the series b) √n…

A:

Q: Mnty f(x)=(x-3)^(3)+7 The domain is , and the range

A:

Q: Question y A Physician Orders 0.75 oz of liquid antacid 4 times per day for a patient. How many…

A:

Q: A) D which of the matrices below represents the linear transformation from 1² n² to 1² which rotates…

A:

Q: (1) What are the mean and standard deviation for statewide Math SAT scores? (2) What are the z…

A: As per our Question and Answer guidelines,we can answer only first question and rest can be reposted…

Q: 3–11 A vertical plate is submerged (or partially submerged) in water and has the indicated shape.…

A:

Q: What is the rate of change of the volume of a sphere with respect to its radius when the radius is 5…

A: The concept that we are going to use to solve this problem is differential calculus. In this…

Q: 2.1 Distinguish between special orthogonal group SO(2) and special orthogonal group SO(3) by making…

A: As per the question, we will distinguish between two important mathematical concepts: the special…

Q: I'm currently facing difficulties in solving this problem using matrix notation exclusively, and I'm…

A: Definition:

Q: Evaluate the limit using continuity. (Use symbolic notation and fractions where needed.) lim (x²y -…

A:

Q: Find the orthogonal projection of v = projy(v) = [8] -25 H -7 onto the subspace V of R³ spanned by…

A:

Q: 4. Each loop in the graph of r = cos(20) which is given below has the same shape and area as each of…

A: Finding the values of theta:

Q: Fast pls solve this question correctly in 5 min pls I will give u like for sure Nid…

A: a)We have to Write a direct variation equation that relates x and y. So that means we have to write…

Q: Suppose that an satisfies a recurrence relation, and that an is an approximation to an with relative…

A:

Q: Match each of the following with the correct statement. A. The series is absolutely convergent. C.…

A: Give the 6 series,We have to test which series are absolutely convergent , which are not absolutely…

Q: Consider the system of linear equations 2x + 7y = 40, 2x - 9y = 110. Write this system in matrix…

A:

Q: 7-18 Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson's Rule to approximate the…

A:

Q: Solve the given initial value problem. y'' + 2y' +10y=0; y(0)=3, y'(0) = -2 y(t) =

A:

Q: Find a symmetric 2 X 2 matrix with eigenvalues λ1 and λ2 and corresponding orthogonal eigenvectors…

A:

Q: Test algebraically whether the function is even, odd, or neither even nor odd. 9 f(x)=√x The…

A:

Q: Question 6 Find the direction in which the maximum rate of change occurs for the function f(x, y) =…

A:

Q: If a loading ramp is placed next to a truck, at a height of 8 feet, and the inclined portion of the…

A:

Q: Consider function g(x) = 4 - x2 on interval [0; 2]. Compute approximations to area under curve,…

A: Given function is  on interval .Also given partition is  .Using Upper sum formula :

Q: If L and U are invertible, then (LU)²001-U001L001 Find A001 from the given LU factorization: = -2 0…

A:

Q: The point x = 0 is a regular singular point of the given differential equation. Find the equation…

A: The point  is a regular singular point of the given differential equation…

Q: Graph the rational function. f(x)= 5x+15 x+2x-15 2 Start by drawing the vertical and horizontal…

A: To graph the rational function f(x) = (5x + 15)/(x^2 + 2x - 15), we can follow these steps:Step 1:…

Q: Use cylindrical or spherical coordinates, whichever seems more appropriate. Find the volume V and…

A: We have to find the volume and centroid of the given problem.

Q: An element of K which remains invariant under each member of the Galois group G(K,F) of K over F is…

A: Given: Galois group .We have to prove that An element of  which remains invariant under each member…

Q: Consider the following system of linear equations where k is a scalar.  (a) For which values of k…

A:

Q: Find the general solution of the differential equation. y(4) - 30y (3)+225y'' = 0 y(x) =

A: Given the differential equation:  To find:The general solution   The given equation is a…

Q: Find the lim inf an and lim sup an for the sequence {an}, where n→∞ n→x 2n an = (-1)n5 (−1)n ²n +1 n

A:

Q: Find the absolute maximum and minimum values of f on the set D. f(x, y) = x² + y² + x²y + 5, D = :…

A: To find the absolute maximum and minimum values of the function f(x, y) = x^2 + y^2 + x^2y + 5 on…