The function below is discontinuous at which of the following values? Select all correct answers. Select all that apply: f(x) is discontinuous at -3 f(x) is discontinuous at -2 None of the above f(x) = 2x -x² + 3x + 6 if x ≤-3 if -3 < x≤-2 if -2

Q: A biologist has two brine solutions, one containing 2% salt and another containing 8% salt. How many…

A: The objective of this question is to find out the amount of each brine solution needed to create a…

Q: 256x The volume of a sphere is increasing at a rate of 3 cm³/sec. Find the rate of change of its…

A: The expression for the surface area of the sphere is:Where r is the radius of the sphere.The…

Q: M8 ηχη n=1 3"

A:

Q: Consider the following function. T 3 π f(x)=sinx, a ==, n=4, 0≤x≤: 6 a) Approximate f(x) by a Taylor…

A:

Q: Write the expression as a sum and/or difference of logarithms. Express powers as factors. 14 In (x¹4…

A:

Q: Find an antiderivative of the function h(y) = 3y² — y6. An antiderivative is

A: .

Q: Let y = f (x) be the particular solution to the differential equation with the given initial dy dx…

A: The given initial condition is .The aim is to find the tangent line to approximate to .

Q: I had that first answer but it was wrong and I also had 2 sin theta cos theta but as my second…

A:

Q: Refer to the graph shown below and evaluate Ĵ 1941 CH - 4 f(t)dt.

A: Consider the figure

Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A:

Q: Find the domain of the function. f(x) = -5x + 3

A: f(x)=-5x+3

Q: Write v as the sum of two vectors, one in Span {u₁) and one in Span (u₂,43,44). Assume that…

A:

Q: DRAW THE GRAPH OF A FUNCTION WHERE limr-a f(x) DOES NOT EXIST FOR SOME INTEGER a. EXPLAIN WHY THE…

A:

Q: Let y = ln(1 + x²). Find the differential dy when x = 1.4 and dx 0.6. = Enter your answer as a…

A: Let .To find the differential  when .

Q: At what value(s) of x on the curve y=-7+90x^3-3x^5 does the tangent line have the largest slope?

A: y=-7+90x3

Q: The price-demand equation for a particular flashlight is given by p= 114 -0.004x, where x is the…

A: We need to find consumer and producer surplus.

Q: 37. se sec² (10x + 7) dx

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

Q: Find the domain of f(x). f(x) = Interval 3x - 5 x² + 2x - 35 Answer Attempt 1 out of 2 2 Answer…

A:

Q: x 1 (a) Sketch the graph off. (b) At which numbers is f discontinuous? (c) At which of these numbers…

A: The given function is .The aim is to find the a) Sketch the graph of the functionb) At which number…

Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

A:

Q: Find the radius of convergence and the interval of convergence of the power series. n=0 nx 3…

A: The solution is following in explanation step.

Q: Suppose Find the product AB. AB= Find the product BA. BA= -9 - [3] and 9 A = and B = help (matrices)…

A:

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WORK FOR BETTER…

A:

Q: The function f(x) = 6(1.2) is an exponential function. Af(x) Ax a. Determine the value of the ratio…

A: The given function .The aim is to find the value of the ratio  over the given intervals.

Q: 4. Find the function given by the power series n f(x) = Σ + ²)", x+2 when -7 < x < 3. 5 n=1/

A:

Q: number. Fr 11. The sum of the measures of the three angles of a triangle is 180°. The middle-sized…

A:

Q: 5. Example: The graphs of f and g are given. Use them to evaluate each limit, if it exists. If the…

A: A graph of the functions  and  are given.The aim is to find the following,(a) (b) (c) Note:  Since…

Q: Evaluate the following improper integral. So e 0 e-bt sin (at)dt, where b=2, a=1 Round your answer…

A:

Q: A water tank has the shape of an inverted cone with height 9 m and top radius 8 m. If V and h…

A:

Q: 1 Answer the following questions about the curve: 2x³ - 3y² = 16 a) Find dy/dx. b) Find d²y/dx². c)…

A:

Q: 1-√x)³ 3 √x dx

A:

Q: Find the linearization L(x) of f(x) at x = a. f(x)=x+, a= 2 3 O A. L(x)=x+1 3 2 23 OB. L(x)= x+3 5…

A:

Q: Prove that the equation is an identity. (sin 0 - cos 0)² + 2 cos 0 sin 0 = 1 Working from the…

A:

Q: 6 Use efºxc x² dx = 72 to evaluate each definite integral without using the Fundamental Theorem of…

A: Since you have posted a question with multiple sub parts. As per guidelines we are supposed to…

Q: Express in terms of logarithms without exponents. log(x³y4z)

A: Let,C=

Q: Let g(x, y, z) = 0.03x + 0.04y - 0.01z - 0.05. Complete the following sentences. (a) The variable g…

A: Given function

Q: Starting with an initial value of P(0) = 50, the population of a prairie dog community grows at a…

A: The growth rate of population of prairie dog community is P(0)=50

Q: Find an antiderivative of the function g(t) = e-³t. An antiderivative is

A:

Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

A:

Q: Find the solution of 4x²y" - 6x²y + y = 0, x > 0 of the form Y₁ = x¹(1+₁x + €₂x² + 3x³ + ...) Enter…

A:

Q: Write the following expression in expanded form. +5 log X+7

A:

Q: The position of a particle moving along a coordinate line is s=√52+4t, with s in meters and t in…

A: The position of a particle moving along a coordinate line is s=52+4t, with s in meters and t in…

Q: Find the vertex, focus, and directrix of the parabola with the given equation. Graph the equation.…

A: The given equation of parabola is The vertex form of parabola with the vertex  is

Q: 1. Find the area bounded by x = y²; x = −2y² +3

A: To find the area bounded by

Q: Evaluate the definite integral. 5 J 1+162 -dx

A: To evaluate the following integral.Note: Since you have posted multiple questions, we will provide…

Q: Find the critical numbers and the open intervals on which the function is increasing or decreasing.…

A: The objective of this question is to find the critical numbers and the open intervals on which the…

Q: Is the series ∑(1/(n + (1/n))), from n = 1 to infinity, comparable to the series ∑(1/(2n)), and can…

A: Solution is following in explanation step.

Q: SOLVE THE FOLLOWING PROBLEM AND SHOW YOUR COMPLETE SOLUTIONS. EXPLAIN YOUR WO FOR BETTER…

A:

Q: Express the function as a power series by first using partial fractions. f(x)= 2x+5 x2+5x+4

A: Given: f(x)=2x+5x2+5x+4let's first factor the denominator and then use partial fractions.The…

Q: Convert the rectangular coordinates of the point to polar coordinates (r,0) with r>0 and 0 ≤0<2.…

A: We need to convert rectangular corrdinates to polar coordinates.