Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of decay is proportional to the amount of the substance present at time t, determine the half-life of the radioactive substance. (Round your answer to one decimal place.) 136.5 hr

Q: In 2008, 25 million teenagers owned a cell phone. In 2009, 28 million teenagers owned one. Assuming…

A:

Q: In a typical diabetic, the level of insulin might be given by the following function: if 0≤ t ≤4 if…

A:

Q: 23. (주)

A:

Q: 3 2 (x+2) dx (x-1)3

A:

Q: Find the second derivative of the function. f(x) = 5x + 26x F"(x) =

A:

Q: A volume is described as follows: 1 1. the base is the region bounded by y = 1 - 25 2. every cross…

A:

Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

A:

Q: Find the derivative of the transcendental function. 6e* y' =

A:

Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

A:

Q: If f(x) and g(x) are integrable on the closed interval [a, b], and k is a constant, which of the…

A: fx and gxare integrable on the closed interval a,b and k is the constant. we have to find the false…

Q: 4. y = esec²z (A) sec²rtan resec² z (B)-2 secrtanrx sec²z 5. y= Arccos(x²) 2x (A) √1-2¹ 2x √1-x² (B)…

A:

Q: Find the area of the region bounded to the right by x = -y + 4 and to the left by x = y. 2 J] -2- 4-…

A: The objective is to find the area of the region.

Q: Please answer completely. Step by step. Evaluate. S arccos x dx

A: I have stated the used formulas in the solution

Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 6, 12…

A:

Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

A:

Q: The base of a three-dimensional figure is bound by the circle x² + y² = 1. Vertical cross-sections…

A:

Q: The bird flu is considered dangerous when the number of people getting sick is growing at a rate…

A:

Q: What is the average value of f(x) between x = 0 and x = 2 for f(x) = 1.609 0.805 0.693 O 0 2 2x+1 ?

A:

Q: Find the derivative of the function. q=5√x³+3x q' =

A:

Q: Find the volume of the solid that results when the shaded region is revolved about the indicated…

A: We have to find  the volume of the solid that results when the shaded region is revolved about the…

Q: 7. 8. I. lim f(x) = -0. 8118 II. lim f(x) = ∞0. 818 I. f is continuous at x = 2. II. f is continuous…

A:

Q: The minimum value of N such that the remainder estimate given in the text guarantees that SN…

A:

Q: 2. Determining Taylor polynomials from given derivative values. Suppose g is a func- tion which has…

A: Let's find taylor series of function g.

Q: Use linear approximation to approximate cubrt(28)

A:

Q: x-intercept =

A:

Q: 20

A: I have stated the used formulas in the solution

Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

A:

Q: Find the formula for the total distance traveled by an object with a velocity v(t) = 2t² – 8 on the…

A: The objective is to find the correct option.

Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

A:

Q: 6 5 4 3 2- - 1 1 1 0 1 y = f(x) lim I-1 lim 2 h→0 T 3 4 5 6 7 8 Enter each answer as a whole number…

A: (i)  limX→2+ fx-5fx+4 = limx→2fx-5limx→2fx+4                          = limx→2fx-limx→25limx→2fx+4…

Q: A chain lying on the ground is 10 m long and its mass is 60 kg. How much work (in J) is required to…

A:

Q: 20. Which of the following is always true about the graph of f(x) on (-1,2)? (A) f(x) has an…

A:

Q: If a horizontal element is used to find the area bounded by y=√√x, x=4 and the x-axis, the limits of…

A: we have to find limit of function  here function is given y = x x =4 and x axis  x axis means x = 0…

Q: A region bounded by f(y) = √√√y + 1, y = 1, y = 4, and x = 0 is shown below. Find the volume of the…

A:

Q: Consider the function below. 2²-2ry² + y² = 5 (a) Differentiate with respect to x (y is a function…

A:

Q: Find the derivative of the function without using the Quotient Rule. Step 1 Rewrite the equation so…

A: Given y=1112x5

Q: A region bounded by f(x) = x, y = 0, x = 1, and x = 4 is shown below. Find the volume of the solid…

A: The objective is to find the volume of the solid formed by revolving  the region about the x-axis.

Q: Use the Quotient Rule to find the derivative of the function. f'(x) = f(x) x X-5

A:

Q: Which of the following formulas would be used to calculate the trapezoid approximation of 0.2 3 0 T₁…

A: Here we using trapezoidal rule.

Q: Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 62°21'7" 62.36°…

A:

Q: Find the area bounded by y= 2x³ and y=x³ + 3x²=4.

A: 2) To find the area bounded by the curve f(x)=2x3  & g(x)=x3+3x2-4. To find the intersection…

Q: 14

A:

Q: III. Open-e 21. Two lines intersect each other in a circular plane with an equation x² + y² + 4x-6y…

A: Given: the equation of circle is x2+y2+4x-6y=12 and two lines intersect at the center of the circle…

Q: Find the area between the graphs x = X A = sin (5y) and x = 1 - cos (5y) over the interval - ≤ y ≤…

A: The objective of the question is determine the area of the given graph.

Q: Find the percentage rate of change of f at the given value of x. 3/2 1(x) = (1 + ² + 3 + 2 + 3x + 14…

A:

Q: The graph of the function shown below is of the form y = cos(x − d) or y = sin(x - d) where d is the…

A:

Q: sec²x - 1 sec²x 0-1 sinx

A: We will solve.

Q: Evaluate the integral by interpreting it in terms of areas. In other words, draw a picture of the…

A: Solve the following

Q: If f(x)=x²-4, which of the equations below describes the average value of f(x) over the interval [4,…

A: To find the average value of f(x).

Q: You have the option to take out a 30 year mortgage with an APR of 4.9% what will your monthly…

A: