t 9dz 9dz The infinity in the can be eliminated by lim (1– 3z)4 (1- 3z)4

Q: ng If C(t) = 62.5t e -0.19t measures the concentration, in of a drug in a person's system t hours af...

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Q: Suppose f(0) = – 4, f'(0) = – 2. Approximate f(0.03). - f(0.03) - (enter your answer rounded to two ...

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Q: (2v² + 4u²v)du + (4uv + 3u³)dv = 0

A: The given differential equation is; (2v2+4u2v)du + (4uv+3u3)dv=0.

Q: To evaluate the integral 1 dx x2 – 16 2х — we use the partial fraction decomposition of the integran...

A: Explained below

Q: Given revenue and cost functions R(q)=80q−0.2q2 and C(q)=13q+500​, find the maximum profit that ca...

A: Profit is given by P(q) = R(q)-C(q)Given R(q) = 80q-0.2q2C(q) = 13q+500P(q) = 80q-0.2q2-13q-500P(q) ...

Q: It is determined that the temperature​ (in degrees​ Fahrenheit) on a particular summer day between​ ...

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Q: Given polar curve r = −6 sin(θ) do the following. (a) Find the Cartesian equation for this curve. (b...

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Q: 1. April started her homework at 4:29 p.m. and finished at.5:25 p.m. Andy started his homework at 5:...

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload...

Q: 1) Let 7(t) = (t, 2 cos t, 2 sin t), -4 <t< 4. Find the length of the curve.

A: In

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e, x = 0, x 2, an...

A: We use the formula for volume=π integration of y2 from x=a to x=b.

Q: Question 7 Which of the following is an improper integral? (А) -dx -4 x2-x - 2 --X In (3e) xe cos (x...

A: I am going to solve the given problem by using some simple calculus to get the required result of th...

Q: Let y(x) be the solution to the following initial value problem. x³ y' + 4x² y In(x). x > 0, y(1) = ...

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Q: 5x2 + 3x – 4 If h(x) find: 4 – 5x = (x),4

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Q: Find the indefinite integral. (Use C for the constant of integration.) 1 dz 4 (6 – z). + Need Help? ...

A: We know, (i)∫xndx= x(n+1)/(n+1)+C, for any real number n and any constant C.

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a p...

A: Here is the solution

Q: Differentlate. sin(0) e) = 1+ cos(0) f() = -. Write a decimal correct to 4 d.p

A: topic - derivative of a function

Q: bacteria culture initially contains 2000 bacteria and doubles every half hour. Find the size of the ...

A: Given query is to find population of bacteria after indicated time  

Q: True or False: By the partial fraction decomposition, we should write 5x + 2 A В + х2 +x — 12 х — 3 ...

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Q: Suppose the temperature of a metal plate is given by f (x, y) = the temperature of the metal plate i...

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Q: f(x) – f(1) - If f(x) = log2(x) , then lim a-1 (A) in(2) (B) In(2) (C) 0 (D) 2 (E) 1 8:49 PI

A: We can solve the question as below

Q: Find a solution for y in terms of x that satisfies the differential equation and passes through the ...

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Q: For each part, use a short sentence to explain why the expression does not make sense. S, So e* cos(...

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by ...

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to se...

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Q: Which of the following integrals is equal to ( 3x – 5) dx if u=3x – 7? (A (u) du / (u+2) du B © :/ (...

A: We know by properties of definite integrals, if a-b=(p-q)/m then, ∫baf(x)dx= 1/m * ∫qpf(x)dx  

Q: The Series - 3. ハニ1 A) Diverges by the Direst compurisont

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Q: Given revenue and cost functions R(q) = 90q – C - 0.4g and C(q) = 15q + 550, find the quantity when ...

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Q: Now, suppose this is actually the graph of g'(x). Answer the following questions about the function ...

A: As per the guidelines when multiple sub part question are posted in single pic then we are supposed ...

Q: 7. Find the volume of the solid formed when the graph of the region bounded by y = e", x = 0, x 2, a...

A:

Q: Given cost function C(q) = q° - 135q + 2500q, what quantity minimizes average cost? It would be item...

A: Given, The cost function C(q) = q^3 - 135q^2 + 2500q Differentiate with respect to q, we  get C'(q) ...

Q: 4. Consider the surface S parametrized by R(u, v) = (uv, sin u, cos v). Find an equation for %3D the...

A: The given curve S is parametrized by: R→(u,v)=uv,sin u,cos v Now, to find the equation of the tangen...

Q: e* What is the integrable form of dx? e* – e ¯* A (u²– 1) ² du (в du D

A: The given integral is: I=∫exex-e-xdx=∫exex-1exdx=∫e2xe2x-1dx=∫exe2x-1dx

Q: Given cost and price (demand) functions C(q) = 110q + 42,000 and p(g) = - 1.9q + 860, What price sho...

A: NOTE: Refresh your page if you can't see any equations. . the cost function is  and the demand func...

Q: d?y =6- 9x and which passes through the points (0, -1) and (2, 3). dx2 Find the equation of the curv...

A: Given problem:- Find the equation of the curve for which and d2y/dx2 = 6-9xwhich passes through the ...

Q: 5. y = xArctanx - In V1+x²

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Q: et f(x) = 3x 1, 6). 3x? + 6. Find the equation of the line tangent to the graph of y = f(x) at the p...

A: Given query is to find the equation of the tangent.

Q: w = x18yz14 + sin(yz)

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Q: Find the equation of the curve for which d-y -=6- 9x and which passes through the points (0, – 1) an...

A: Equation

Q: Solve the differential equation by using integrating factors. xy' = 3y + x2

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Q: 1. The velocity of a plane is modeled by v(t) = –1+ cos (+ 3 sin (), measured in miles per minute, f...

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Q: Find the indicated derivatives, using the following information: g(3) = 10 g'(3) = – 3 f(3) = 4 %3D ...

A: Given: So,        fg'(3)=f'(3)g(3)+f(3)g'(3)          =(-1)(10)+(4)(-3)          =-10-12          =...

Q: Find an арprozimation of 1000 i=1

A: Find your answer below 

Q: ng of a drug in a person's systemt hours after the drug is administered. -0.22t If C(t) = 53.3t e me...

A:

Q: If f(x) = (2x + 8)-', find f'(x). Find f'(2).

A: topic - derivative of a function

Q: Use the Gauss-Jordan method to solve the system of equations. If the system has infinitely many solu...

A: We have to find the solution set for the following equations using guass Jordon method.

Q: nded by the curve y2=4x and the lines x = 1 and x = 4.

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Q: Replace ? with an expression that will make the equation valid. d 1 In (x8 +9) : %D dx 8 x° +9- The ...

A: Given query is to find the derivative of the expression.

Q: Find the indicated derivative of the function. for y = -4 cos X dx4

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Q: 1. Let {an}1 be a convergent sequence such that V5 and an+1 3D V5а,. a1 = Compute lim an. n→∞

A: ann=1∞ be a convergent sequence such that a1=5 and an+1=5an

Q: The integral of (10*/ cos 10*)dx may be written as A ln | sec B* + tan B* |+ C. Where A, B, and C ar...

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