Je* sin 2x dx cos xdx S (3-cos²x-3 sin x)

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Q: = n²-7n +3 What is the 50th term of the sequence represented by n a n for n ≥ 1?

A: Given sequence, an=n2-7n+3 , n≥1

Q: 6. Compare and contrast the properties of the 1st Derivative of various functions with its 2nd…

A: The first derivative is the slope of the function, and the first derivative test is used to find the…

Q: Problem 1 Solve (x + ex sin y) dx - (y + e* cos y) dy = 0

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Q: f(x)=x2-3,P(4,13) a.find mtan b. Determine an equation of the tangent line at P. c. Plot the graph…

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Q: Sketch the region bounded by the curves, and find the centroid of the region. =0,2 = 1, y = 0, y =…

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Q: ƒ (₂) If lim fx x-0 = L then which of the following must be true?

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Q: Find the volume of the solid generated by revolving the area of a circle (x − 2)² + y² = 4; about…

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Q: Assessment Evaluate each indefinite integral. 1. f(6x² + 14x-5) dx

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Q: What function will you differentiate to get each function? 1. f(x) = 4x³ - 6x² - 10x + 1

A: Given function, f(x)=4x3-6x2-10x+1

Q: ii) √²√³ xy² S¹S. -dydx -3 x² +1

A: Evaluate the iterated double integral.        ∫01∫-33xy2x2+1dydx

Q: Additional Activities What function will you differentiate to get each function? 2. f(x) = 8x74x³ +…

A: Let differentiation of F(x) leads to the function f(x)=8x7-4x3+2x-3 So, F'(x)=f(x)=8x7-4x3+2x-3

Q: QI\ A\ Find Domain and Range for this function y √x²+2

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Q: Identify any vertical, horizontal, or oblique asymptotes in the graph of y=f(x). State the domain…

A: Graph of the function is given, we have to find its asymptotes and domain

Q: Explain why the calculation (axb). (ĉ. d) is not meaningful.

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Q: Find the average rate of change of the function y = 2e2 with respect to x over the interval from x=0…

A: As we know that; The average rate of change between the interval a≤x≤b is given by; Avereage rate of…

Q: need

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Q: 1. Given the function f(x)=2-4x+ -. Please find the intervals of increase or decrease, absolute…

A: SOLUTION-

Q: 8. Evaluate: fdx a. x + x+In+C b. In(x²-1) + C C. x + tan ¹x + C d. 1+In+C x-1

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Q: 7. Which of the following are anti-derivatives of f(x) = sin x cos x? I. F(x)= sin²x 2 II. F(x)=…

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Q: Find the modular residue of the product. 9,512,667 2,183,321 (mod 5) 9,512,667 2,183,321 (mod 5) =…

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Q: . Evaluate Jo So fixy³ dydx

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A: We need to find time.

Q: Determine the instantaneous rate of change of the function y = 5x + 2x² 1 with respect to x at x-4.…

A: Find instantaneous rate of change

Q: Which of the following integrals are improper? (Select 3 L₁x²-1 dx 3x - 1 1 06²/21 x ² = 1 dx 2x 00…

A: Topic:-  improper integration

Q: Question 4. Continuity Exercise 2.5, Problem 26 a. Show that f has a removable discontinuity at x =…

A: We have to show f has removable discontinuity at x=3 and find the value of c

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Q: Find the volume of the solid formed by rotating the region enclosed by about the x-axis. Answer:…

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Q: . Consider the following: a. Write an equation of a plane in Cartesian form that contains the point…

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Q: .3 Using the prepaid option, he would pay per second. Using your answer from question 4.2 to…

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Q: H. Evaluate coordinates. 4-y² 4-x²-y² 1 x²+y²+z² So dzdxdy by using spherical or cylindrical

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Q: Use the table of integrals to evaluate the integral. (Remember to use absolute values where…

A: ∫3 sec5(x) dx=3∫sec5(x) dxApply reduction formula: ∫secn(x) dx=n-2n-1∫secn-2(x) dx+secn-2(x)…

Q: kx +5 for x ≤ 2 Let fx = = x-1 for x > 2 Find the value of k for which f(x) is continuous at x=2.…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = √ 1 + ex,…

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Q: If a vector has an initial point of (−3, −2) and a terminal point of (5, 9), what is the magnitude…

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Q: 2

A: We will solve the problem

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Q: Determine the absolute extrema of the given function on the specified interval. 1.) f'(x) = 1 + 80x³…

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Q: Which interval notation represents -3 ≤x≤3? 1) [-3,3] 2) (-3,3] 3) [-3,3) (-3,3) 4) 1 O O O O a b n…

A: From the convention of interval notation, We can write: a≤x≤b  as x∈[a,b] which represents x which…

Q: Find a function f such that for any real number x such that 2√x + tan-¹x In csc x [₁₁ (1) dr = 3 +…

A: To find a function f such that for any real number x such that ∫-1xft dt=2x+tan-1 xlncsc x+π

Q: During a fireworks display, a starburst rocket is shot upward with an initial velocity of 34.5 m/s…

A: According to the company policy we are supposed to answer only first three sub parts and rest of the…

Q: 3) 2x (1+y²) dx -y (1+2x²) dy=0 4) dx + x lnxlny dy =0

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Q: A rate of change of H is given by Solve for k where H> -25. O 0.458 0.346 0.255 0.144 ап = k (25 +…

A: This question can be solved using the concept of differential equation.

Q: 1) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: Find the distance between line 2xy + z = 4.

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Q: What is the common ratio of the sequence 832, 208, 52...?

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Q: 4) The student population at a certain school here in Dagupan can be modeled by the logistic growth…

A: You must have idea about growth model to understand it better.