The amount of carbon 14 present after t years is given by the exponential equation A(t) = A, e kt with k= In 2 A sample from a refuse deposit had 58% of the carbon 14 found in a contemporary living sample. How old was the sample? 5600

Q: Jが 10x° - 24メクt9 dx

A:

Q: Evaluate the following indefinite integral. dx

A: Here is the solution

Q: 3. use integr al test to determine given rerie s wheth er the is conver gent diverg ent . Or a. n=1

A: Given problem:-

Q: Use the tabular method to evaluate the integral fa (x³ + 2x-1) cos(4x)dx COS

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: HiW:-solve the P.D.E Uxx+ Uyy-lolx++lo) U lox) = UC013) = ULY20) = U1Y,3) = c %3D

A:

Q: -2ln(cosx) 03. lim, »0 x2

A: The given limit is: limx→0-2lncosxx2   As we know that; The Chain rule: fgx'=f'gx·g'x

Q: Q2 ) Use the Simpson's rule with (n = 4) to estimate thef²n sinx dx . 2

A:

Q: dx S- VVx+1

A: As per the company's guidelines, we are suppose to answer only first question. Kindly repost the…

Q: Find the cofactor of the element a22- 3 4 4 - 2 -1 1 1 4 1 О А. -8 О в. 8 С. - 1 O D. 1

A:

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: Perform the operation or operations when possible. - 2 [14]: 4]+| 8 O A. They cannot be added. Ов.…

A:

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove…

A: see below the answer and explanation

Q: 2. The equation of the horizontal asymptote of the exponential function f(x)=7(0.5*4)–-1 is: A) y =…

A: The equation of the horizontal asymptotes of exponential equation f(x)= 7(0.5x-4)-1

Q: 1-Find the area of the region R under y=x2 +3x + 2 Between x-1 and x=2

A: Here we have to find the area of the region R under y=x2+3x+2 between x = -1 and x = 2

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f(x) = L = 1| 8 oProve that…

A:

Q: 4 2. y =,x = 1,x = 4, and y = 0 is revolved about the y – axis. (Answer: 24n C. u. )

A: This is a problem related to volume generated by solid revolution. Based on the general formula and…

Q: Write in logarithmic form. 45/2 = 32 log 232 O A. = 4 log 54 5 O B. log 432 = 5 Oc. log 54 = 2 5 O…

A: We want to write the given expression in logrithmic form.

Q: e2z dx 4e2a – 8ez + 5

A:

Q: R is the region bounded by the lines y = x, y = -x, and x = 1. %3D

A:

Q: The value of the triple integral 6zdV where E is the upper half E of the sphere of x² + y? + z? = 1…

A:

Q: Solve the given DE: dy e* – 2x cos y eу — хx2 sin y' dx ||

A: Differential equations is solved.

Q: 6) By implicit differentiation find a) xy + y² = 2 find d²y/ dx² %3D b) sin(x²y²)= x find dy/dx

A:

Q: Find the tangent line to the curve y = x + 2x3-2x2 -3x + 3 which is perpendicular to the line x- 3y…

A: Given :y=x4+2x3-2x2-3x+3Line : x-3y=2

Q: Q2: Solve the following linear differential equation: y' + y = x+

A: We can solve this as follows:

Q: b) Let G be a group of order 2p, where p is prime number. Prove that every proper subgroup of G is…

A: Given

Q: Find the following definite integrals. sin a dr

A:

Q: Findithe equation fthe plane entrining the point (7-2-5) and uperpendcular to the line through the…

A:

Q: 11. Given đ = (2, x, –3) and b = (5,–10,y), for what values of x and y are the vectors collinear?

A: We have to find the values of x and y for which bothe the vectors are colinear

Q: 4. The range of the function h(x)=0.5f(-x) +2 where f(x) = 4* is: A) {y eR|y>2} B) {yeR|y>0.5} C)…

A:

Q: 2tan 'x -x (-) 2x – sin 'x 02. lim, -1

A: Given limx→02tan-1x-x2x-sin-1xTo evaluate the limit:

Q: If f(z, y) = e" sin(4y) then: V f( – 1, 1) =

A: Given function is f(x, y) =e4xsin4y.  We have to find ∇f(1, -1 ). The vector differential operator ∇…

Q: 1 lim x COS X

A: See this solution in below

Q: In reference to the function: g(x)=x^2 +2x−6 (−1 ≤ x ≤ 3) Show that the inverse function g−1 has…

A: We have to find the inverse of the function g(x).

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c(x) = 3x…

A:

Q: 2x 5. The y-intercept for the function g(x)= 2 +3 is: A) 2 B) C) 3 D) 5

A:

Q: Lit Pibrithe plane comtrining the porente (1-1:0). (1:0-1) and (0-1-1)- and Pabetheplane usith…

A:

Q: 8 Given a function: f(x) = (х-7)(х-1) Write down the definition that lim f (x) = L -1| х-5 (х-7)…

A:

Q: Graph the function. 6x + 4, if x< 0 f(x) = 5x2 - 3, if x20 OA. OB. Oc. OD.

A: given function is f(x)=6x+4, if x&lt;05x2-3,if x≥0 so we calculate the values of f(x) for few values…

Q: 8. The (2*+1 – 2k) = %3D k=0

A:

Q: Q1: Find the Integration using Gamma Function Method: 00 x*e-3xdx

A:

Q: 9) Evaluate || sin (y') dA , R: the region bounded by y=Vx, y=2 R & x=0. Š įysinx'dxdy ans:-(cosl-1)…

A: Note :As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A:

Q: Given F(x) below, find F'(x). 3x2 F(x) = -dt t-1 3 Provide your answer below: F(x) = %3D FEEDBACK…

A:

Q: For the points P and Q, find the coordinates of the midpoint of the segment PQ. P(-2, - 2), Q(4,2) O…

A: The given two points are P-2,-2 and Q4,2.We need to find the coordinates of the midpoint of the…

Q: Evaluate the integral: 2 x2 ) dx (23+1)? Input answer as decimal. Round off to 2 decimal places.

A:

Q: Assume a population of fish grows exponentially. A pond is stocked initially with 500 fish. After 6…

A:

Q: Cassandra has the following information about f(x) and g(x): f(æ) = x →4 - 4, lim g(x) = 6. x →4 lim…

A: This is a problem related to limit. Based on the limit properties we will answer the question. As…

Q: 8 Given a function: f(x) (х-7)(х-1) Write down the definition that lim f (x) = L = -1| 8 Prove that…

A: