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Q: 1. Evaluate the following and give the exact value: -π/2 сosy π-y π/6 sin(y+z) dz dx dy

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Given that lim f(x) = 4 X-2 lim g(x) = -5 X-2 lim h(x) = 0, X-2 find each limit, if it exists. (If…

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Q: Prove: २ tan² x sin²x = tan ²x -sin ²³ x ·

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Q: F(x) for f(x) is a function such that F'(x) = f(x). You might need to manipulate the function into a…

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Q: An object is thrown upward at a speed of 117 feet per second by a machine from a height of 13 feet…

A: Given: the height h of the object after t seconds can be found using thequation: ht=-16t2+117t+13

Q: Explain why the function is discontinuous at the given number a. (Select all that apply.) (x+5…

A: Given function,f(x)=x+5if x≤-12xif x>-1

Q: Directions: Find the derivatives using the definition of limits (4-step Rule). Show each step from…

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Q: 3. lim tan x x→2/2

A: Topic- Limits  3.)limx→π2tan x   exists only if limx→π2-tan x=limx→π2+tan x if limx→π2-tan…

Q: Set up the definite integral required to find the area of the region between the graph of y = 15 -…

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Q: Determine whether the following function is a solution to the differential equation. y = ₁x + ₂x³ +…

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Q: Find and sketch the domain of f(a, b) = √b² + 4a + 2 In (1 − a² − b²)

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Q: Find the solution of each of the following initial value problems. y(0) = 1 (a) y' - y = 2te²t, (b)…

A: As you have asked to solve part a only so I am doing only that one. a. Given differential equation,…

Q: · γ΄ = 4x2+y2 χν

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Q: Let f(x, y) = x² - y² y-1 Sketch the domain of f on the xy-plane.

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Q: e^x cos y dx - e^x siny dy = 0 is an exact DE, please solve its general solution with complete…

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Q: 41. What are the first three terms of the Maclaurin Series for √x³? A. 0 B. C. ²x+3x2² D. 1/x+x² E.…

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Q: Use the given conditions to write an equation for the line in point-slope form and in…

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Q: 32. Determine the particular solution of the following differential equatior y'=y²-e³xy² Where: x=0;…

A: Topic = Differential Equation

Q: Sketch the graph y = x3 − 6x2 + 9x. Provide all working for finding the intercepts and stationary…

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Q: 11. Complete the following b) y_dB = 100 dBW + 10 dBm 15 dBm

A: We have to complete the given expression.

Q: = 10 log x 10g 4 = (2)10 log x (2) log 4 (1 11 |1 10 1094 x - 12 log₂ x 11 = 2010gx log 8 1 8 log x…

A: To simplify the expression.

Q: 22. Draw the graph of y-cos(x).

A: We can draw the graph in the below steps.

Q: Ө 0 d 3 mĽ² 1+ 3 m[² Kp + KDS 3b mĽ² Kp + KDS P 2 S² S + S + $2 -S 3b 2 m[² S 3g 2L 3g 2L

A: Given data:- The given expression is, θθd=3mL2KP+KDss2+3bmL2s-3g2L1+3mL2KP+KDss2+3bmL2s-3g2L

Q: xy dx - (x² + 3y²) dy = 0.

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Q: 1. Use the graph of f(x) to find each of the following. a. lim f(x) = x-0 b. lim f(x): X→4- C. lim_…

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Q: * Evaluate (if possible) the six trigonometric functions of the real number. (If not possible, enter…

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Q: Use Intermediate Value Theorem to show 2x^2+5x^2-3x-5=1 has a solution on the interval (0,2)

A: Given equation, 2x2+5x2-3x-5=1That is7x2-3x-6=0Letf(x)=7x2-3x-6 Given function is quadratic equation…

Q: 37. At a certain construction site, the rate at which dirt is being extracted from a hole (in tons…

A: Given that the extracted dirt by excavator defined by D(t)=sin(t)cos(t)+32t also the removed dirt by…

Q: x+2 5. Find the vertical asymptote f(x) x+1 a) x = -2 b) x = -3 = c) x = -4 d) x = -1

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Q: KIndly solve number 2 and 3 general solution also and show complete solution.

A: As per Bartleby guidelines we only give first question answers. Please repost for other parts.

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

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Q: 10. Determine the particular solution of the following differential equation: dyxy+2y-x-2 xy-3y+x-3…

A: The given differential equation is: dydx=xy+2y-x-2xy-3y+x-3  ;      y(4)=2

Q: Show your complete solution. 3. Determine whether the following function y = C₁x + c₂x³ + 2x²…

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Q: Eliminate

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Q: Please show the full solution on how you end up with its general solution.

A: The given differential equation is; excosydx-exsinydy=0.

Q: If f(x) = 3x² − 3x + 5, find ƒ'( – 5). Use this to find the equation of the tangent line to the…

A: Equation of tangent line

Q: Show that f is continuous on (-∞, ∞). (₁-x² if x ≤ 1 In(x) if x > 1 On the interval (-∞, 1), f is…

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Q: 42. Approximatesin (x²+1)dx by integrating the 6 th degree power series for the function centered at…

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Q: 36. If the initial population of bacteria in a petri dish is 30,000 and it grows 6 population of…

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Q: 14. f(x) is a function with the following properties: f(x) has a local minimum at x=-1 f(x) is…

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Q: ermine lim -1- 2x³5x2 x² - 1

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

Q: demand functions for a pineapple is given by p=-10x+15.  a.) find the revenue function b.) how…

A: Given query is to find the revenue function and price that maximize the revenue and the number of…

Q: A particle is moving along a curve such that its speed at time t is (x (1), y(t)), where x (t)- and…

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Q: 16. (x-ylny + y lnx) dx + x(lny - Inx) dy = 0.

A: see below the answer and calculation

Q: 2. Find the absolute maximum and absolute minimum values of f(x) on the given interval (if they…

A: I am attaching image so that you understand each and every step.

Q: 1 - 3x + Σ+14 k=2 2! (k+ 2)! k!

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Q: Given the differential equation (4x2+y2)dx + x(x-2y)dy = 0  1. Verify that M(x,y) = (4x2 + y2) and…

A: Given the differential equation (4x2+y2)dx + x(x-2y)dy = 0  1. Verify that M(x,y) = (4x2 + y2) and…

Q: what is the vector representation of A ( 2, -5, 3) to the origin?

A: Concept: The representation of vector: The representation of vector is done by using the arrow. We…

Q: Given the differential equation (4x²+ y²) dx + x (x−2y]dy=0 1. Verify that M(x, y) = (4x²+ y²) and…

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Q: Find the solution of the given differential equations. 2xy x²-y² 1. y' =

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