The half life of carbon-14 is approximately 5568 years. If we have 250 grams carbon-14 today, howmuch is left in 100 years. Note: Half-life = (Ln2)/k O a. 240.7 grams O b. 99.4 grams O c. 246.9 grams O d. 199.4 grams O e. None

Q: COS X xy + 4y = x3, x>0 A) y = B y = COS X + C x3 sin x + c ,X>0 X>0

A: Given differential equation xy' + 4y = cosx x3

Q: Use the binomial formula to find the coefficient of the p²x term in the expansion of (3p-x) ¹0 0 X S

A:

Q: Let F = (3yz)i + (7xz)j + (7xy)k. Compute the following: A. div F B. curl F 0 =0i+ C. div curl F j+…

A: As we know that, The expression for the divergence of the vector point function F→=F1i+F2j+F3k…

Q: Suppose that an object initially having a temperature of 20°C is placed in a large temperature…

A:

Q: If f(x) = 19x + 3, find the instantaneous rate of change of f(x) at x = -2

A: If fx=19x+3, then to find the instantaneous rate of change of fxat  x=-2.

Q: BOTTOM LINE What is the average velocity of a particle with velocity v(t)=4-t² ft/s from t = 1 to t…

A: NOTE: Refresh your page if you can't see any equations. . the velocity function is the given…

Q: irectional derivative of f(x, y) = sin(x + 2y) at the point (-5, -1) in the direction = π/4. ent of…

A: given function is   f(x,y)=sin(x+2y) then we have to find directional derivative of f(x,y) at the…

Q: A particle moves along the y-axis so that its position at time t is given by y(t) = t² tan() for t >…

A:

Q: Nick has lost faith in the banks, and has decided to diversify his portfolio by keeping some money…

A:

Q: dy 8. = dx y(xy³ - 1)

A:

Q: What can you say about the inflection points of a quadratic curve y = ax² +bx+c, a #0? Give reasons…

A:

Q: Evaluate the integral: S (2+6) (2-6)

A: given integration is I=∫dx(x-6)(x+6) using partial fraction formula's - 1(x-6)(x+6)=Ax-6+Bx+6…

Q: A jet is flying through a wind that is blowing with a speed of 45 mi/h in the direction N 30° E (see…

A:

Q: An employee earns $48,000 in the first year with a company. Every year, the annual salary increases…

A:

Q: Find the area of the region bounded by the parabola y = 4x², the tangent line to this parabola at…

A:

Q: art 5x √5 sin³ (5) cos 4 (5) dx 6

A: ∫03π5sin5( 5x6)cos4( 5x6)dxas we know that sin2x + cos2x = 1 cos2x = 1 - sin2x

Q: Determine the first two terms and the last two terms in the sum given below. Provide your answer…

A:

Q: The half life of carbon-14 is approximately 5568 years. If we have 250 grams carbon-14 today,…

A:

Q: Use the principle of mathematical induction to show that the statement is true for all natural…

A: Use the basic principle of mathematical induction to prove this statement.

Q: Find the linearization L(x) of the function g(x) = xƒ(x²) at x = 2 given the following information.…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: What lump sum do parents need to deposit in an account earning 14%, compounded monthly, so that it…

A: Topic - Compound interest We are given, Future value =FV=$90000 Time=18 years rate of interest =14%…

Q: Use the information for problems #6 & 7. Let A = {Bob, John, Sally, Fred, James, Heather, Anna} and…

A: Given information…

Q: Use the Shell Method to calculate the volume of rotation, V, about the x-axis for the region…

A:

Q: Find an equation for the parabola that has its vertex at the origin and has its focus at the point:…

A: Find an equation for the parabola that has its vertex at the originand has its focus at the point:…

Q: Solve f8x cos(7x) dx using Integration by Parts.

A:

Q: Find the differential equation characterizing the family of curves described. Sketch at least three…

A:

Q: The population of a herd of deer is represented by the function A (t) = 195(1.31)t, where t is given…

A:

Q: Which of the following equations has no solution? 5. a. b. − ²)(a b) = (19) (²2) -77²) (²5) = (69) a…

A: We know that value of determinant is zero when any two row (or column ) are identical. Here in case…

Q: The radius of a spherical tumor is growing bycentimeter per week. Find how rapidly the volume is…

A:

Q: 2. The population, P(t), of a herd of wildebeest is found to follow the model P(t) = 5000 + 2000cos…

A:

Q: A company estimates that the total revenue, R, in dollars, received from the sale of q items is R =…

A: NOTE: Refresh your page if you can't see any equations. . the given revenue function is  to find…

Q: Consider the function f(x) = 3x² + 2x² - 6x4 - 6. An antiderivative of f(x) is F(x) = Ax + Bx™ +…

A:

Q: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

A: A television camera is positioned 4000 ft from the base of a rocket launching pad. The angle of…

Q: Consider the following parametric equations. a. Eliminate the parameter to obtain an equation in x…

A:

Q: Find the solution to the differential equations xdt = (t³ — 3t) In² xdx

A:

Q: It costs 4 dollars to manufacture and distribute a backpack. If the backpacks sell at x dollars…

A:

Q: 3-t Let F(x) = √² + 40 (a) Find the value of a where F obtains its maximum value. x = dt for -∞0 < x…

A:

Q: (a) Find the average rate of change of the area of a circle with respect to its radius r as r…

A:

Q: valuate the integral f z² dz √25-2² using trigonometric substitution.

A:

Q: deposited at the end of each quarter in an account that earns 5% compounded quarterly until $70,000…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: A financial services committee had 60 members, of which 11 were women. If 10 members are selected at…

A: To determine the required probability

Q: A function f is given by ​f(x)=1/((x+2)2). This function takes a number​ x, adds 2​, squares the​…

A: f(x)=1(x+2)2for f(3) put x=3 in f(x)

Q: 9) The Mean Value Theorem shows that for a differentiable function the average rate of change over…

A: Since this is a multiple question, according to the Bartleby answering rule, only the first question…

Q: The demand for a commodity generally decreases as the price is raised. Suppose that the demand for…

A: Demand: Demand is the willingness and ability of a consumer to pay for a product at a particular…

Q: Locate all the critical points of the function f(x, y) = 6x - x² 3xy². (If there are several points,…

A:

Q: Given the graph of f (x) above, find the following limits To enter ∞o in your answer field, . When…

A: NOTE: Refresh your page if you can't see any equations. .

Q: A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4r² ) with…

A:

Q: DC The graph below shows two linear functions, f(x) and g(x). For values of x shown on the graph,…

A: We know equation of line passing through points x1,y1 and x2,y2⇒y-y1=y2-y1x2-x1x-x1

Q: dx by completing the square and using trigonometric substitution. √x² + 4x+8 Evaluate the integral e…

A:

Q: Find the annual percentage yield for an investment at the following rates. (Round your answers to…

A: