Find the half-life (in hours) of a radioactive substance that is reduced by 40 percent in 20 hours. (include units) Half life = |

Q: 2 2Y と xe didy ーy

A:

Q: Sa -1 dx (1+x²) 12/2

A:

Q: 2X a) 12 S. Cos(スx) dydx

A:

Q: If f(x) = 10(sin(x))", find ƒ'(2).

A:

Q: Find d. dx (36x+4)

A: Find d/dx .

Q: af For the function f(t, x) = sin (9лt + 4x), find at af at (Type an exact answer in terms of t.)…

A: topic - partial differentiation

Q: 1014x + y – 3z = -3 0-x-3z = 13 Bx +5y-4z = 20 %3D

A: Given equations 4x+y-3z=-3              (1) -x-3z=13                   (2) 3x+5y-4z=20…

Q: Find and sketch the domain of the function. f(x.y) = /y- 6x – 4 Find the domain of the function.…

A:

Q: Evaluate: lim (1+sin 4x)cot ¤ x→0+

A: Topic:- limit calculus

Q: This is a weird polar graph question in calc II, I don't know how to answer it. If you can provide a…

A:

Q: Consider the second-order differential equation + 25y = 4.5 sin(8t). d²y dt² Find the Particular…

A: The given problem is solved below in detail.

Q: Confirm that the Integral Test can be applied to the series. Then use the Integral Test to determine…

A: Option (B) Diverges

Q: Find thearea bounded by x=y^2 and y=-x^2

A: The region is bounded by x=y2 and y=-x2

Q: Evaluate the integral. 3x In x' хр

A: Integration need to be done after proper simplification of the term.

Q: Answer the question in the space provided and in full details. . Answer in complete sentences, with…

A: The triangle law of the addition of vectors states that two vectors can be added together by placing…

Q: Find the derivative of the function * 15 f (x) = (18x + 23) 3 1 12x 12 f' (x) = f' (x) = (18x² + 23)…

A:

Q: The decay rate of a radioactive substance, in millirems per year, is given by the function g(t) with…

A:

Q: Over the interval shown above, the associated marginal cost is... O Increasing, then decreasing O…

A: given

Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

A: Given

Q: 5. Find the amount due on P 40, 000 in 4 years and 4 moths a. 10 % % converted semi-annually b. 11%…

A: We have to find the final amount.

Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

A:

Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, y) = 16 + x²-y²…

A:

Q: Graph the damped vibration curve for 0 ≤t≤. -t/ (5) d(t) = e cos (2t) Choose the correct graph of…

A:

Q: For each graph below, state whether it represents a function. Graph 1 4 2- Function? Function? -2 O…

A: We have to check the function

Q: Use Green's Theorem to evaluate the line integral (y - x) dx + (2x - y) dy for the given path. C:…

A:

Q: Use logarithmic differentiation to find dy/dx. y = (6 + x)x, x > 0 dy dx

A: This question is based on product rule diffrentiation and log properties.

Q: Write the first four terms of the sequence {an} defined by the recurrence relation below. an+1=3an -…

A:

Q: Test the sefes for convergence or diver 00 n! 145- Use the Select v and evaluate: lim = (Note: Use…

A:

Q: Given csc 0 = -3, sketch the angle in standard position and find cos 0 and tan 9, where e terminates…

A:

Q: Evaluate the following integral. Assume a and b are real numbers and n is an integer. Sx(ax + b) dx;…

A: By considering u=ax+b we can integrate it.

Q: Are the Following Vectors Linearly Dependent or Independent? 1) (3,4), (4,3) Ans. Independent

A:

Q: Q2/12 2 = と = COS e ) y= Sine find the %3D

A: partial derivative

Q: Suppose that the function g is defined on the interval (-2, 2] as follows. 1 if-2<x<-1 0 if - 1<x<0…

A:

Q: ecosh z √x+1 Let F(x) S 1. Find F(0). 2. Find F'(x). sin(1 t) dt.

A: Let's find value of given function.

Q: recurrence relation for the sequence {dn} that gives the amount of drug in the blood after the nth…

A:

Q: Show that the following series diverges. Which condition of the Alternating Series Test is not…

A:

Q: A statue 4.5m high is standing on a base of 5.5m high. If an observer's eye is on an average…

A:

Q: The director of the school play has to assign 6 lead roles. If the roles are being chosen from a…

A: Using permutations and combination

Q: Find the area of the region bounded by the graphs of the equations. y = 1+√√x, x=0, x= 8, y = 0…

A:

Q: determine the instantaneous rate of change in: a. surface area of spherical balloon (as it…

A:

Q: Identify the type of quadric surface defined by the equation 5æ? + 6y? + z = 30, and find all x-,…

A:

Q: Use the following information to complete parts a. and b. below. f(x) = 13 Inx, a = 4 a. Find the…

A:

Q: Kindly solve the following completely within 20 minutes and draw the figure/graph for each,…

A:

Q: Evaluate: x - 4 lim x-4x2 - 8x + 16 O Limit does not exist O 4 O1

A:

Q: 4) (1, 150°) 90° 120° 60° 150° 30° 180° 2 210° 330 240° 300° 270° 4.

A:

Q: Find the first five non-zero terms of the Taylor series for f(x) centered at x = 2. Written…

A: In order to find the first five terms, we need to apply the formula of Tailor's series entered at 2.

Q: of Find - for the following function. and 5xy f(x.y) = e In (3y)

A: Given: Now,        ∂ ∂ xe5xyln3yTreat y as a constant=ln3y∂ ∂ xe5xy=e5xy∂ ∂ x5xy=ln3ye5xy· 5y

Q: Find an equation of the hyperbola that has vertices (0, ±3) and foci (0,±4). Equation: = 1

A:

Q: . Given the triangle below, find the value of b to the nearest tenth. 33 1 b 110 6.2 units O 3.4…

A: We have to find the side

Q: Use the graph of g(x) to answer each question. O

A: