Determine the quadratic function of the form f(x)= a(x-h)² + k whose graph is given on the right. f(x) = 10 -6 -5,00 10 -5- 10 X 10

Q: A rock thrown vertically upward from the surface of the moon at a velocity of 36 m/sec reaches a…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: 2.) Evaluate the function for the given value of the independent variable. Simplify your answer if…

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Choose the correct graph for A and B

A: We have to choose the correct graph.From the conditions of Reimann sum we know that-If f is…

Q: 2.) Solve the following equations using the method of your choice. Write the solution set in exact,…

A: The formula to calculate the roots for the quadratic equation  is:

Q: Factor 1296x4-14641 and solve the equation 1296x4-14641 = 0

A:

Q: 3. The graph below shows the number of students, N, in Math Club t years after 1990, when the club…

A: If a question contains more than 3 sub parts we have to solve only 3 sub parts.

Q: Find the derivative. Enter your answer without fractional or negative exponents. -3x6 + 12x4 - 10 x3…

A:

Q: Each derivative represents the first li Please state this original function, f(x f'(x) = lim h→0…

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Convert the point (r, 0, z) = (2, 2π, -1) to Cartesian coordinates. Give answers either as…

A:

Q: 7) lim X-7 (x-7)2 using the precise definition of limits.

A: Given :- -1 /(x-7)2We can directly put the value of limit as it already simplified.

Q: −|x\, x≤-5 h(x) = {20 − x², −53

A: Given dataA function,

Q: Find proju if scalu = − 3 and v = ( − 1,4, - 8). proj, u = ( (Type integers or simplified…

A:

Q: Please assist with the steps below  Find the derivative of the function by using the rules of…

A: Given, F(x)=rules of derivatives are

Q: The position function of an object is given by s(t) = 2t³ – 3t² – 12t + 8, t ≥ 0 a) Find the…

A:

Q: In how many different ways can 5 identical green shirts and 5 identical red shirts be distributed…

A: 5 identical green shirts and 5 identical red shirts be distributed among 6 children such that each…

Q: Evaluate the definite integral. Hint: Let u = x + 1. 8 [° 7x √x+1dx

A:

Q: Given the differential equation y"+49y = −eºt, y(0) = 0, y'(0) = 0 Apply the Laplace Transform and…

A:

Q: Let v = (15, − 8). a. Find a vector in the direction of v that is two times as long as v. b. Find a…

A:

Q: Compute the second-order partial derivatives of f(x, y) = e4x2+6y? =e 011 (x, y) - ( 82f дхду 82f…

A:

Q: 2. Find the LU factorization of the following matrices without pivoting 2 3 1 b) A= a) A = 2 5 354 1…

A: Given:a)b)The aim of the problem is to find the LU factorization of the given matrices without…

Q: find the derivative by using the product and or quotient rule  g(w)=e^w(w^3-1)

A: Given that function  to find the derivative of the given function

Q: Find each of the following for the piecewise function: f(x) = f(-4)= 3 x² + 3 -2x + 4 x 2 f(-5) =

A:

Q: Find the quadratic function y = f(x) whose graph has a vertex (-5,3) and passes through the point…

A:

Q: Use algebraic methods to find as many intersection points of the following curves as possible. Use…

A: Given: we have two curves                      Explanation: we have two curves                   To…

Q: Find Dxy. 7) y = ln (sinh 11x)

A: Given the expression  of y.

Q: find the derivative of the following by first expanding or simplifying the expression…

A:

Q: 3) Given the functionf (x): = 2(x²-25) x²-4 a) Identify the horizontal and vertical asymptotes and…

A:

Q: Find the points at which the following polar curve has a horizontal or a vertical tangent line.…

A:

Q: 6. Refer to the graph of k below. -104 k(t) to- toliaupo oda y (a) Evaluate k(2). (b) Solve k(t) 27.…

A: The graph of the function is given.The aim is to find the a) Evaluate b) Solve c) Write the…

Q: A boat is pulled into a dock by means of a winch 12 feet above the deck of the boat. 12 4 ft/sec Not…

A:

Q: Textit) Find a formula for the parabola whose graph is given below: f(x) = (-2, 8) 4 (3, 8) (click…

A: To find the formula for parabola?Note- As per company guidelines for multiple questions posted we…

Q: Find each limit, if it exists. (If an answer does not exist, enter DNE.) x8+2 x→∞ x9-9 (a) lim x8+2…

A:

Q: Step 1 Let D be the distance between the origin and a moving point on the graph of y = sin 3x. D =…

A: y=sin(3x)dx/dt = 7

Q: Find the integral. Stan'xsec¹x dx

A:

Q: 12- (-11)= Express your answer as an integer.

A: Let,  D=12-(-11)

Q: Find the domain and range of 9x² - 196 2 4x²+ 13 2

A: The given expression is:

Q: 6. Consider the parametric curve x(t) = 1 + cost+cos 2t, y(t) = sint + sin 2t = sin t(1+2 cos t)…

A: Given that                Then            At  , we need to find the value of .

Q: d) dy x dx y The solution can be written in the form y² = g(x). Enter g(x) in the box below Do not…

A:

Q: Find the absolute extrema of the function on the closed interval. 3x²/3 - 2x, [-1, 1] minimum…

A:

Q: Convert the point (x, y, z) = (5,−1, −1) to spherical coordinates. Give answers as positive values,…

A:

Q: Math 151 Workshop 2 (trig functions and their inverses, calculation of limits) Some useful…

A: Note:-Since you asked multiple sub parts questions, according to our policy we can solve only first…

Q: Directions: Find the instantaneous rate of change. Make sure to show all your steps. 1) 3x3, at x=2…

A:

Q: Given the figure below... 18 what is the value of V. W? -18 6√5 -6√5 12 -12 6 -6 13 A 3√5 -3√5 √5 3…

A:

Q: Consider the differential equation y"-16y'+64y = 0. The characteristic equation is The solution(s)…

A: Consider the differential equation

Q: I. Family of Curves Obtain the differential equation of the family of curves, described and sketch…

A: We have to obtain the differential equation of the family of curves.

Q: Consider the following initial value problem: dy (t²- 20t+51) =y with y(10) = 1. dt A. Solve the…

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

Q: please asnwer all the questions please

A: Since you have asked multiple questions in a single request. As per guideline I will be answering…

Q: Solve these initial value problems; the differential equation is separable in each of them. (a) (b)…

A:

Q: 8. Compute two fully factored derivatives and determine the exact coordinates of any points of…

A:

Q: Find the solution of the differential equation xy' +9y = 48x 5lnx (x > 0) that satisfies the initial…

A: