If P(t) is measured in dollars/hour and t is measured in hours, what are the units of P'(t)? O hours? dollar dollars hour hours dollar O dollars dollars hour?

Q: dy 2. When does the differential equation Cekt represent exponential growth? exponential dt decay?

A: We need to explain growth and decay.

Q: Consider the function g defined by 1 g(x, y) = cos (Tx VT) + log3 (x – y)" Determine

A: We can solve this as follows:

Q: Question 2. (a) ( Evaluate the triple integral z dV, where E E = {(x,y,z):0<x<2, 0<y<2, 0Sz<3). (b)…

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Q: valuate (3x + 2)In(x) dx

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Q: Find the solution of each inequality in the interval [0, 277). (Enter your answers using interval…

A: a)sin(x)≥0.5first and second quadrant:x≥π6, x≤π-π6[π6,5π6]b)cos(x)≤-0.5second and third…

Q: S16 sin?x cos?x dx .2.

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Q: complete

A: Please refer to the image below

Q: Use either integration by substitution or integration by parts as needed to evaluate x²+1 B A x3+…

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Q: What is the critical point?

A: The objective of the question is defination of critical point.

Q: Evaluate the summation 4i + 4. i=1 140 116 224

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Q: Vr2 – 2x – 3x (x² 4. lim 4x + 5 (72 25) ten2(r1 2)

A: first we will take x common from numerator and denominator, then take limit.

Q: Find * L(e2t t2)

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Q: Let f(r, y) = -Vx² 4 (a) Find the domain and range of f. (b) Draw a contour map of f for k = -3, -2,…

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Q: To find a particular solution for y" - 36y = 44 sin(21) %3D with the method of variation of…

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Q: Lagrange Multipliers will be used in order to solve the following: Maximize f(x, y, z) = 4x + 2y + z…

A: We want  to maximize the function.

Q: Find the area of the surface generated by revolving the curve about each given axis. X = 4t, y = 8t,…

A:

Q: Find the series' radius of convergence E (3x)n n=0 O1 00 O 3

A: This question is related to infinite series, we will solve it using given information.

Q: 3 of its radius. 4 Mohamad Salah poured orange juices into a cylindrical red tank whose height f the…

A: Topic:- application of derivatives

Q: 4. -1 y%3D 3x-9

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Q: 1. How will you compare exponential growth from exponential decay? Present your answer using a…

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Q: In the standard (x,y) plane, what i the distance between (3, 4) and ( 2)?

A: Topic:- geometry

Q: inal the @ e w and cone an ave cof the Cuarve?

A: here i am providing my hand written solution

Q: Use the above formula to write each of the following limits as an integral (a) 172 ポ+パ lim (nj)2 +…

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Q: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

A: The area of the base of a rectangular prism is equal to the area of the base of a cylinder with an…

Q: Evaluate the function at the given value of the independent variable. Simplify the results. (If an…

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Q: S 16 sin?x cos?x dx x cos²x

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Q: 217-a3-1 limx → 6 Solve x2 –5x-6

A: Please refer to the image below

Q: 1) Use the Integral Test to determine whether the series is convergent or divergent. п (Зп — 1)2 c)…

A: Given problem:-

Q: Suppose 200 trout are seeded into a lake. Absent constraint, their population will grow by 70% a…

A: Given problem:- Suppose 200 trout are seeded into a lake. Absent constraint, their population will…

Q: Using Lagrange multiplier method to find the maximum and minimum value of the function f (x, y) = xy…

A: We have to find the minimum and maximum value of the given function.

Q: 4) Find the area of the region common to the interiors of the cardioids r = 1 + cos 0 andr%D 1 - cos…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Solve a3 -4x2 +4x lima→234 –12.a³ +12a²

A: We have to solve the given limit.  We can use Factorisation method.

Q: (x)dx = (Type an integer or a simplified fraction.) a

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Q: For | cos 3x cos 4x dx :

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Q: y" + 25 y = 10(cos(5t) – 2 sin(5t)), y(0) =1, y'(0) = 2. %3D %3D

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Q: Find the following for the vectors u= 10i – 8j + V5k and v= - 10i + 8j- /5k. a. v•u, lv], and Ju| b.…

A: This is a problem related to vector's dot product. Based on the general formula and concept we will…

Q: Find the area under the graph of the function over the interval given. 13) y =ex; [-9,4] A) e 13 B)…

A: We can find the area as below.

Q: tere Set Netation Dae Teher Name Leve OdeLeve el whether esch of the foleing stetenent is…

A: Please reupload other questions

Q: Consider the following. f(x, y) = xy2 4 r= 4 r= 3 (a) Set up an iterated integral in polar…

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Q: ĐUseThe Gulerwae method's Sove the: より xCi+メ)) y(6)=3 ,h=o.2

A: We have to find the solution using eulers equation.

Q: 1 .! Determine if the vectors 0 and 1 span R³. -2 3 Can these three vectors form a basis for R.

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Q: Find an eigenbasis and diagonalize. (Show the details.) 101 72 9. -144 -103.

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Q: dy da = y+ Vx² – y? O y = x cos(ln|æ|+ C) O y = x sin(n|x| + C) sin-1 (를)-In|미=C coS-1 (2) -Inl피 =C

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Q: (D2 + 4)V=4 cot 2x

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Q: y = x2 – 7, y = 2x + 10, y = 10

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) = x? + x + 1, a = 5 O P3(x) = 1 +…

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Q: Evaluate the following integrals. Show all the necessary solutions. 5 - 4x² dx 4. 3 + 2X

A: Here we have to integrate the given Integral.

Q: Solve the initial value problem (3+x2)y/" + 4y = 0, y(0) = 0, y (0) = 12. |3D If the solution is y =…

A: Please see the below picture for detailed solution.

Q: y 21 5 6 -2 -1 %3D1 -D2 3, (N

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Q: Problem #6: Find the equation of the line tangent to f(x) cos? x – sin? ( at x =

A: