(x²-1, x<0 2. Graph the function y=2-x, x=0 √x, x>0 Determine the domain and range.

Q: -1 Suppose y = sin ¹x. Then y arcsin 1 Oy= sin a Or = siny Or=

A: Given that:- y= sin--1x. Then  Topic:- inverse trignometry

Q: A light year is the distance light travels in a year. What is a light year in km? The speed of light…

A:

Q: 1. The graph of f '(x) is continuous and increasing with an x-intercept at x = 4. Which of the…

A: Let's solve.

Q: Find the domain and range of the function. (Enter your answers using interval notation.)…

A:

Q: Find the set on which the curve is concave upward. Answer (in interval notation): = [₁² F 1.² 2 t² +…

A: A function y=f(x) is said to be concave upward on an interval if d2ydx2&gt;0.

Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: Below table contains position-time data for a runner during the last 0.25 s of a 100 m sprint. Time…

A: Given: table is given in the question we have to find the value of acceleration at 99.44 meters

Q: 393. lim x x → 0+ 1/x

A:

Q: 1. Find the general solution to the differential equation x' = t cos(t²). Find the particular…

A: The given differential equation x'=t cost2use the integral formulas, ∫dx=x+C∫cos x dx=sin x+C

Q: A random variable, z, has p.d.f. f (z) = e¯², 0 =<2< 1. Calculate the expected value of z. a. b. C.…

A:

Q: The radian measure of an angle of 244 degrees is

A:

Q: The rate at which water flows into a tank, in gallons per hour, is given by a differentiable…

A: Given Table:- t(hours) o 2 3 7 8 R(t)(gallons per hour) 1.95 2.5 2.8 4 4.26

Q: An electromotive force E(1) [120, [0, 0t 20 t> 20 is applied to an LR-series circuit in which the…

A: Let's solve current at time t by using diffrential equation.

Q: There is a ready polar formula for negative one (-1) and also a ready polar formula for negative i…

A:

Q: Find the area of the parallelogram determined by ?=⟨5,0,0⟩v=⟨5,0,0⟩ and ?=⟨0,−5,9⟩.and w=⟨0,−5,9⟩.…

A:

Q: A discrete random variable has probability distribution: x= 1, 2,3,4, 5 and P(x) =0.12,0.15, 0.23,…

A:

Q: Question 2 A tank contains 800L of water with 10kg of dissolved mineral. Pure water is injected into…

A: As per our guidelines we are allowed to solve only 3 sub parts. kindly repost others. THANK YOU…

Q: Determine the value(s) of k such that the system of linear equations has the indicated number of…

A:

Q: Book Problem 15 Find the average value of the function f(x) = -3x³ on the closed interval [-1,3].…

A:

Q: B-Prove that the solution of the following differential equation xy' + y = xis y = In(ex*), when…

A:

Q: If y arcsin(4x4), dy da ||

A:

Q: Simplify [cos 20-i sin2018[cos 30+ i sin301² [cos 40+ i sin40 1³ [cos 20-i sin2015 using De Moivre's…

A: This question can be solved using the De Moivre's theorem which says eix=cosx+isinx

Q: Please find attached

A: To sketch the graph of the equation given.

Q: In Problem 1-10, write the given sets by extension. when possible 1- 2 A= {x/e B₂{x|x is a 3- C =…

A:

Q: Question Find the area bounded by f(x) = x³ + 3x and g(x) = 4x on x € [−1, 1]. Submit your answer in…

A: The area between the curve is given by ∬dydx.see below the answer and calculation

Q: A, B, and C are mutually exclusive events and P(A) = P(B) = and P(C) ½, "(B'n c'). = find

A:

Q: = Find the area of the region pictured below that is bounded by the functions f(x) = x² - 9x + 20…

A:

Q: The angle between 0° and 360° that is coterminal with the 1545° angle is degrees.

A: Ans = 105 degree  For detail go through the solution ...I have solved in detail

Q: Which of the following satisfies the statement f(x) is O(g(x)) when x5log(x+1) f(x) = +16x²? -5x3…

A: Given data:- fx=x5logx+1-5x3-2x33+16x2

Q: The graph of the function g is formed by applying the indicated sequence of transformations to the…

A: To reflect the graph of a function f(x) in the x-axis, we simply change the sign of the…

Q: 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0   2. Complete the graph using the…

A: Given problems:- 1. Sketch the graph of the equation. x2 + y2 + 10x − 4y + 29 = 0 2. Complete the…

Q: 393. lim x → xl/x 0+

A:

Q: If y = arcsin(ln(3x – 4)), dy

A:

Q: 1. Evaluate the following integrals. d. f(r+1)³dr C. 3/4 fese xcot xdx /4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: If your weekly cost, C, (in dollars) to manufacture L laptops and D desktops is: C(L, D)= 5000+50L…

A:

Q: Hello good people, how are you, I need you to write these numbers in polar form for the complex in:…

A: Note that, if z=a+ib then z=reiθ=r(cos θ+i sin θ) where r=a2+b2 and θ=tan-1ba

Q: Find the determinant of the matrix.

A: Concept: Determinant: A square matrix's components can be used to calculate the determinant, a…

Q: B- Use power series to evaluate the integral sin.x X -dx

A: We want to find integral of sinx/x using power series.

Q: Find f+g, f-g, fg, and f/g and their domains. f(x)=√16-x², g(x)=√x+3 Find (f + g)(x). Find the…

A: The given function is: f(x)=16-x2 , g(x)=x+3

Q: Let f(x)=10-3x². Find the average rate of change of f(x) on each of the following intervals. (S…

A: Function

Q: Use the chain rule to help you find dy/dx for each of the following functions: 10. y = (x²+4)³ 12. y…

A:

Q: Question Find the area, in square units, of the region bounded on the left by the line g(x) = 2x +…

A: We need to find Area.

Q: The random variables A and B have variances Let T= 5A-2B. The 0.3 and 0.4 respectively. variance of…

A:

Q: Determine if the graph is a function. y=x²-4x-5 Using the vertical line test, is this the graph of a…

A:

Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

A: We have to find volume generated by revolving R1 about line AB.

Q: In how many ways can we of 12, of which a particula included? a. 904

A: Topic:- permutation and combinations

Q: 27. A large tank is partially filled with 100 gallons of fluid in which 10 pounds of salt is…

A:

Q: The functions f and g are determined by f (x) = 2x-4 and g (x) = 1 / 2x + 3. The area of origin…

A: Given: f(x) = 2x-4  g(x) = 1/(2x+3)             the area of origin f is Df:{x| 2&lt;x&gt;6}…

Q: Question Find the area of the region pictured below that is bounded by the functions u(y): the area…

A: The region is bounded by the curves u(y)=y-3 and v(y)=y2-2y-13 on the interval -2≤y≤5 use the…

Q: Find the value of c such that enc=14 n=0 Enter an exact value BD

A: Given :∑n=0∞enc=14