f(x)= x/pi + pi/2+ pi/x + 2/pi Find the derivative

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Q: If you invest $5000 compounded continuously at 4% p.a. how much will this investment be worth in 5…

A: The initial amount P=$5000 Rate of interest r=4%=4100=0.04 p.a. The time period t = 5 years

Q: M8 K-0 3 900+3k

A: Given, ∑k=0∞3900+3k

Q: Problem 2.7 Let Find the limit lim f(x). x 0 f(x) = x² if x is rational 0 if x is irrational.

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Q: Find the derivative of each function. Show all your work and simplify the result completely. a un…

A: We can answer both the question as below.

Q: Find and graph the level curve of the function g(x,y)=x^2+y^2-6x+2y corresp

A: the answer is given in step2

Q: Use an appropriate area formula to find the area of the triangle with the given side lengths. a = 14…

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Q: The integrating factor of the given DE are already given below. What is the value of “n” y2dx…

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Q: Let f(x, y, z)= = fz(x, y, z)= fy(x, y, z)= fz(x, y, z)= 2² - 2y² I y² + 4z² Then

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Q: H J A: x = B: x= C: x = D: x= E: x= F: x= G: x= H: x= Identify the points of the circle above. 1: x=…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: (iii) Given that |f(x, y) = e* sin(y) + x²y² = y + 10 a² f əxəy af ax Determine dx and Type your…

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Q: Find the vertical asymptotes of the function Then graph the function. Y x² +1 3x - 2x²

A: The given function is y=x2+13x-2x2

Q: NOTE: Enter the exact answers in terms of i, j and k. (a) Same direction as 2i + 5j. -2 √29 u v (b)…

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Q: Use cylindrical coordinates to evaluate the triple integral □ لاا √² + y²dV, where E is the solid…

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

A: Given problem:- Find a set of parametric equations of the line with the given characteristics. The…

Q: Use a triple integral to find the volume of the solid bounded by the parabolic cylinder y = 6x² and…

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Q: Determine whether the planes are parallel, orthogonal, or neither. 3x 15y 3z = 3 3x 15y 3z = -4 - -…

A: The given planes are 3x-15y-3z=3 and 3x-15y-3z=-4

Q: Find the function whose tangent line has the slope 8x² + 3 for each value of x, and whose graph…

A: To find the function:

Q: Determine the remaining sides and angles of the triangle ABC. What is the measure of angle B? 0° B…

A: This is a problem related to sine cosine rule of trigonometry. Please follow the procedure given…

Q: x, evaluate each expression.

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Q: 3 y = (²x2 ²³-6)9 Find day doc2

A: Solve the given differentiation

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Q: Rewrite the expression as a single logarithm. In 8-In 4 ○ In√2 ○ In (2)-6 咖啡 °)

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Q: 4. (x²-5x+6)y" - 3xy' - y = 0; Xo = 0

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Q: Use implicit differentiation in finding y' . x²y+xy² =6

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Q: 1. S sina de cos²x

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Q: f(x) =  5 x2 + 6 Describe the interval(s) on which the function is continuous. (Enter your answer…

A: Polynomial function are continuous every where so using this we solve this problem

Q: 4. A tank with a volume of 1800 gallons originally contains 1200 gallons of fresh water. The first…

A: Follow the procedure given below.

Q: A x Given that cosa= and 0 <a<, determine the exact value of cos 3 A cos = (Simplify your answer,…

A: All trigonometry ratio are positive in first quadrant .

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Q: 1. Find the respect y = 2x5-x² 3x - 20 derivatives with to X using dy using o 12-1

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the limit of the following sequence or determine that the limit does not exist. {n sin()}

A: Solve the following

Q: Suppose that the cost function for a product is given by C(x) = 0.003x³ +8x+11,440. Find the…

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Q: Find the derivative of f(x) = (2x+1)³(3x - 1)³. Show all your work and factor the result completely

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Q: Cut out squares (of the same size) from the four corners of a square cardboard of given side length…

A: The side of the square = L  let the length of the square = x,

Q: In 2020, the hourly minimum wage for a City of Madison worker was $11.15. Suppose the hourly minimum…

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Q: a) Find the derivative of each function. Show all your work and simplify the result completely. en…

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Q: Solve the equation for exact solutions in the interval [0°,360°). Use an algebraic method. (cot…

A: Solve the following

Q: Integrate using the fundamental theorem of calculus

A: Our Aim is to evaluate the integral given below using Fundamental Theoem of Calculus.∫01x4+12 dx…

Q: Average Cost Jesaki Water Sports incurs the following costs in producing a water ski vests in one…

A: Here we have to use the concept of derivatives

Q: 5. An object has a constant acceleration of 10 ft/sec², an initial velocity of -20 ft/sec, and an…

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Q: Find the inverse function (on the given interval, if specified) and graph both f and f graphs.…

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Q: h X f! 1-X.

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Q: Perform the matrix operation( multiplication of 3x3) 1 3 2 1 4 -3 02 3 LO 0 -4 [0 3 0 0 2 -1] 2

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Q: Given f(x) below, find f'(x). f(x) = z" t' dt √z

A: See this solution in below

Q: Find the equation of the tangent line to the graph of the function f(x) = (z² + 6) (z − 2) at the…

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Q: Complete parts a through f below to find nonnegative numbers x and y that satisfy the given…

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Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of the…

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