A radioactive substance decays exponentially. A scientist begins with 130 milligrams of a radioactive substance. After 20 hours, 65 mg of the substance remains. How many milligrams will remain after 27 hours? mg Give your answer accurate to at least one decimal place

Q: 5. Let f(x) = (x+14 kox² if x ≤2 if x > 2 Find the value of k that will make f continuous on (-∞,∞).

A: Concept :

Q: Find the curvature of the curve y = x at the point (1, 1).

A: To find curvature of given curve at (1,1) point.

Q: The function given by ƒ(x) = (x² −3)³ has exactly one positive critical number. What is that…

A: Given query is to find the critical point.

Q: The joint density function for a pair of random variables X and Y is given. (Round your answers to…

A:

Q: the absolute maximum and minimum of the function f(x,y) = 2x² - 4x + y²-8y +1 on the closed…

A:

Q: Suppose the second derivative of a function f(x) is f"(x) = 2x - 1. Suppose x = 1 is a critical…

A: Given that: f''(x)=2x-1

Q: obuc pat app stond 4404 pat & T 7-xc (2) 40 pun

A: Please see the below picture for detailed solution.

Q: The demand for a product is given by D(x) = 200e-0.025x, where x is the number of units sold each…

A:

Q: Mx = My = (x, y) = (

A: Follow the procedure given below.

Q: Find Ay and dy for the given values of x and Ax. y = x²x₁ x = 2₁ dx = 0.2 2, Ay = dy =

A: We have to find asked quantities.

Q: Evaluate the given integral by using three terms of the appropriate series. 0.7 0 sinx²dx 0.7 S…

A: let  J=∫00.7sinx2dxwe know series of sinx is sinx=x-x33!+x55!

Q: Use sigma notation to write the Taylor series about x = Taylor series about x = -2: f(x)= = -2 for…

A:

Q: For the following telescoping series, find a formula for the nth term of the sequence of partial…

A:

Q: Let f(x) = cx + In(cos x). For what value of c is f'(π/4) = 7? C =

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

Q: true? Select one or more: Two lines perpendicular to a third line are parallel. Two lines parallel…

A: Solution: Statement 1: Two lines that are perpendicular to a third line are parallel to one another…

Q: The following function is quadratic. f(x) = 3x² - 5x True False

A: Quadratic function

Q: Use sigma notation to write the Taylor series about Taylor series about X = 1 3 : f(x) = Σ k=0 X = 1…

A: The function is given as , fx=cos-5x and x0=-π10 Write the Taylor series about x=x0.

Q: Exercise 8 2. Find a 3rd order taylor polynomial based on a for the function which are given a.…

A:

Q: Evaluate

A:

Q: Use the appropriate limit laws and theorems to determine the limit of the sequence. e6-n² bn = (Use…

A:

Q: The following graph is the graph of a quadratic function. 134 tel -51 -10 O True O False

A: Find the equation of the graph.

Q: The two vectors u = and v=: Select one: O have the same direction have the same magnitude O have…

A: Two vectors a and b are said to be parallel if  a=kb , where k is a scalar. Given two vectors are:…

Q: a. 4- (-1,3) -3 (2,1) X Q

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: In tracking the propagation of a disease, a population can be divided into 3 groups: the portion…

A:

Q: Use log differentiation to find the derivative of y = √x e5x³

A:

Q: 4. Differentiate the following expressions with respect to z (a) Insinh(r+ coshr) - (b) Insinh(r –…

A:

Q: 2. Use the Limit Comparison test to determine convergence or divergence. 1 Σ n=1 n√√√n+1

A:

Q: (b) State the rule(s) of differentiation that is most appropriate, explain why and differentiate…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the equation for the tangent to the graph of y at 6, y = sin X 12 R6 T The equation of the line…

A:

Q: Greta wants to send her daughter to college in 7 years. Find how much money she needs to be deposit…

A: future value=$2800time=7 yearsrate=3%formula for compound continuoslyA=A0ert

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. nº Σn=1…

A: use ratio test to check the convergence of series

Q: Find all the values of x such that the given series would converge. Answer: Note: Give your answer…

A:

Q: the image has cut off, and can you explain in further detail and verify the answer?

A:

Q: Mike has created a function explaining the productivity of his company. He knows his employees…

A: GivenNumber of bicycle parts ready to be shipped=500Number of bicycle parts produced by the…

Q: At which of the following polar coordinates is/are the tangent line(s), on the polar curve = eº,…

A: NOTE: Refresh your page if you can't see any equations. . the given curve is  take derivative

Q: Use linear approximation to approximate 8.2 to 6 decimal places

A:

Q: Suppose f is a differentiable function. If f(5) = 3.1 and f'(5) = 5.4, then estimate the value of…

A: given  f(5)=3.1f'(5)=5.4using linear approximation f(x)=f(a)+f'(a)(x-a)

Q: Find the derivative of sec(x)x²(x + 7)5. Answer:

A:

Q: A population numbers 19,000 organisms initially and grows by 8.5% each year. Suppose P represents…

A:

Q: √(√x6 + 8 √√x³ - 10 √x²) dx

A:

Q: Suppose that f(x, y) = 1x¹ + 1y¹ - 1xy then the minimum is Submit Question

A:

Q: List the three critical numbers of the following function in increasing order. F(x) = x¹/5(10x -…

A: Given F(x)=x45(10x-40)2   We are required to findThe three critical numbers of the following…

Q: List the two critical numbers of the following function in increasing order. g(t) 50t2/3 +10+5/3 =

A: g(t)=50t23+10t53for critical numbers put  g'(t)=0d dt(tn)=ntn-1

Q: Q/ for 8 ER, use the power series for the exponential function e² to show that (-1) ¹ (2n)!…

A: Please see the below picture for detailed solution.

Q: A population numbers 11,000 organisms initially and decreases by 7.5% each year. Suppose Prepresents…

A:

Q: Find the solution of with y(0) 4 and y' (0) = 7. y (43/9)-(7/9)^(-9t) + 6sin(9t) -8cos(91) y+9y=162…

A: Given the initial value problem  y''+9y'=162 sin(9t)+1134 cos(9t)y(0)=4 and y'(0)=7

Q: Question 3 of 12 View Policies Current Attempt in Progress A chemical processes a reagent whose…

A:

Q: Find the equation of the tangent line to the curve y = 15xe at the point (0, 0). The equation of…

A:

Q: Electric charge is distributed over the rectangle 0 ≤ x ≤ 4, 3 ≤ y ≤ 6 so that the charge density at…

A:

Q: The three points P(8,7,6); Q(9,6,7) and R(10,7,8) are on the same line. Select one: O True False…

A: