Start your trial now! First week only $4.99!*arrow_forward*

Question

The proportion of carbon-14 still present in a sample after *t* years is e^{−0.00012t}.†

Estimate the age of cave paintings if the carbon with which they were drawn contains only 3.9% of its original carbon-14. (Round your answer to the nearest year.)

Tagged in

Math

Calculus

Find answers to questions asked by students like you.

Q: The instructions for the integrals in Exercises 1-10 have two parts one for the Trapezoidal Rule and...

A: Dear students, Since you have asked multiple questions in a single request, we will be answering onl...

Q: Cal Une see w the horizon from an airplane window from the height of 40,000 ft? C. How far can one s...

A: Click to see the answer

Q: Find the maximum of y = xa − xb on [0, 1], where 0 < a < b. In particular, find the maximum of...

A: Click to see the answer

Q: The following picture shows several regular n-gons (n = 3,4, 5, 6, 8 and 9) inscribed in a circle of...

A: Click to see the answer

Q: Find two positive real numbers x and y such that their product is 800 and x + 2y is as small as poss...

A: Given that, We have to minimize:

Q: Pls, explain this to me. thanks. c(x) represents the costs of manufacturing x staplers. C(x) = 0...

A: C(x) represents the costs of manufacturing x staplers where a) Marginal cost function is derivative...

Q: 60. Consider the region bounded by the graphs of y = Vx tan and y = 0 for 0 < x < 1. Find the volume...

A: We have to use Disk method to find the volume with radius = y= sqrt(x*tan^-1x) x is from 0 to 1. ...

Q: Find dy by implicit differentiation, given that eT° Y + 7 ln (x) = y. Your answer could involve both...

A: To determine the implicit derivative of the function.

Q: Problem 2: For the following incomplete statements, fill in the blank with a couple words (or a numb...

A: Disclaimer: “Since you have asked multiple question, we will solve the first question for you. If yo...

Q: Consider the function h(x), for whichh(5)=11 and h′(5)=−5. Find f′(5) for the function f(x)=h(x)/x

A: Given function is Differentiating both sides with respect to x using quotient rule of differentiati...

Q: True or False? If f (c) is a local min, then f'' (c) must be positive

A: If f (c) is a local min, then f'' (c) must be positive. We will disprove this with the counterexampl...

Q: An underground gasoline storage tank is leaking. The tank currently contains 600 gallons of gasoline...

A: Let g(x) gallons of gasoline be in tank and leaks in x days.

Q: The graph is like a semi circle, how would i go about setting up the integral?

A: The formula for the area of the polar region is

Q: For this problem, fill in each blank with the correct answer. Syntax example: to enter r? sin (), ty...

A: Click to see the answer

Q: In Exercises 1–4, show that each function y = f(x) is a solution of the accompanying differential eq...

A: Since you have asked multiple questions in a single request, we will be answering only the 1st quest...

Q: D. Explain why the CEO of this company should not be upset by the decreasing sales in month 6. 8. An...

A: Click to see the answer

Q: If it's possible could I get the percentage rounded to two decimal places please

A: Click to see the answer

Q: Are all sign transition possible? Explain with a sketch why the transitions ++ → −+ and −− → +− do n...

A: Click to see the answer

Q: The integrals in Exercises out using tables. converge. Evaluate the integrals with- dx dx x.001 1. 2...

A: Hey, since there are multiple questions posted, we will answer the first question. If you want any s...

Q: Sketch the graph of y = x2 − 5x + 4.

A: Given equation:

Q: Complete the Square Before Using Trigonometric Substitutions For Exercises 49–52, complete the squar...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: find a point c satisfying the conclusion of the MVT for the given function and interval y = cos x − ...

A: Click to see the answer

Q: Find the exact length of the curve. y2 = 16(x + 5)3, 0 ≤ x ≤ 1, y > 0

A: Click to see the answer

Q: 112. True, sometimes true, or never true? The area of the region be- tween the graphs of the continu...

A: Click to see the answer

Q: Evaluate the integrals in Exercises 1–14. dx 3 dx 1. V9 + x² 2. V1 + 9x² dx dx 3. 4. 4 + x² 8 + 2x2 ...

A: Hi there, the exact one was not specified. so, I have answered first question.

Q: 10.4-#33

A: Click to see the answer

Q: 25. Wing design The design of a new airplane requires a gasoline tank of constant cross-sectional ar...

A: Give the figure:

Q: It is given to you that an equation of the tangent line to the graph of y = g(x) at x = 9 is 7x + 12...

A: 7x+12y=-21 is the tangent to the graph of y=g(x) So, at x=9 the y value of the tangent will give g(9...

Q: Find the Surface Area rotating around the y-axis

A: Given curve is

Q: find all critical points of the function f (x) = xe^2x

A: Click to see the answer

Q: Using Integral Tables Use the table of integrals at the back of the book to evaluate the inte- grals...

A:

Q: help pls and thanks. find the equation of the line tangent to. f(x)= (2x^2-x)/x at point (1,3)

A: Click to see the answer

Q: Find the derivative of f (w) = (w2-2)" %3D Enclose numerators and denominators in parentheses. For e...

A: To determine the derivative of the function.

Q: 35. Triangular plate Calculate the fluid force on one side of the plate in Example 6 using the coord...

A: The fluid force is calculated by the formula, where a and b is the limit of the plates between whic...

Q: Reduce the integral to the integral of a rational function, then briefly describe how you would fini...

A: Click to see the answer

Q: L’Hôpital’s Rule to evaluate the limit, or state that L’Hôpital’s Rule does not apply.

A: Click to see the answer

Q: Each of the following functions solves one of the initial value prob- lems in Exercises 65–68. Which...

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question s...

Q: Differentiate f(x)=cos−1(5x). Use exact values. f'(x)=

A: Given,

Q: Find the area of the shaded region given the polar equations: r = sinx and r = cosx

A: Click to see the answer

Q: Give an example of numbers a and b such that a<b and |a| > |b|.

A: Click to see the answer

Q: Use the theorems on derivatives to find the derivative of the following function: ((5x3 - 4x2 + 3x -...

A: Assume A,B, and C and find their derivatives with respect to x.

Q: 2550 In(y) Find the derivative of f (y) Enclose arguments of functions, numerators, and denominators...

A: Given function

Q: Find the region bounded by y = x^2 +1, y = 10, x = 0 (in quadrant 1). For the following volume probl...

A: Click to see the answer