Given: y = = 4 cot (3 - 2x) Find: dy dx 0-8 csc² (32x) O csc² (3-2x) 08 csc² (3-2x) -4 csc² (3-2x)

Q: Consider the following initial-value problem. 2y″ + 28y ′ + 99y = 0,    y(0) = 2,    y ′(0) = 0 Take…

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Q: Describe the advantages and disadvantages of using linear scale axes versus logarithmic scale axes…

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Q: Prove lim x-a 4x 4a, using the ɛ, 8 definitions of limit.

A: The given limit,   limx→a4x=4a

Q: f(x)=0.2+25x-200x² +675x³-900x¹ +400x³ a=0 ve b=0.8 a.) find the integral by using Simpson 3/8 Rule…

A: Concept: Simpson's rule: One of the numerical approaches for evaluating the definite integral is…

Q: On which interval is the function f(x) = x2 - 2x - 8 decreasing? A [-2, 4] B (-∞, 4) C…

A: Given, f(x) = x2 - 2x - 8

Q: (x²-x)dx

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Q: 2x+5 x-3' to y = = ( 2. For the rational function y = transformations compared write the equation in…

A: We have to solve given Questions.

Q: (d) Ꮭ /2 sin 6 er cos 0 r²dzdrdo

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

Q: Write the equation of the circle centered at (1, 10) with radius 3.

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Q: Find the midpoint of the line segment shown below. 6+ 4 Midpoint 11 224 -4 5 -6+

A: We need to find mid point.

Q: y= x² +9

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Q: ifferentiate the funtion y = 2 csc (1-3x)

A: Giveny=2cosec(1-3x)Aim: dydx

Q: 2. Evaluate: Lel el-1 dx

A: 2.The given integral,∫-12ex-1dx

Q: Calculate the value of the following limits algebraically, (if they 2x-1 a) lim x+1 X² 2x²-9x-5 b)…

A: Topic:- application of calculus

Q: Find the total number of permutations of the word 'ASSASSINATION', where all vowels are ALWAYS…

A: We have to find the number of ways

Q: 4. Which of the following is an exact DE? A. (x²+1)dx-xydy-0 B. xdy+ (3x-2y)dx = 0 C. 2xydx…

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Q: dx 8. √√√x+√x

A: We have to find out solutions

Q: Find the following rates of change using a graphical method using the graph shown. a) The average…

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Q: 14. √2-√x dx

A: SOLUTION-

Q: əz Find and ?х if x-z = = arctan(yz) defines z implicitly as a function of x and y. ду

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Q: So d e2x 0 e2-5 dx is equal to

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Q: 10- There is a rectangular playing field in Alaska Denali Park for a grizzly Bear with an area of…

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Q: g(x)=x-bx³ +a+c. Use calculus to: St (a) Find the critical points of g(x). (Round the y-value to 3…

A: We have to solve given Questions.

Q: lim (SC - S(T)) where f(x) = -x²+x+6 f(7+h)-f(7) h h→0

A: f(x)=-x2+x+6= limh→0 f(7+h)-f(7)h limh→0 -(7+h)2+(7+h)+6-[-72+7+6]h limh→0…

Q: Evaluate the integral So So -8 e dady by reversing the order of integration.

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Q: Determine whether the differential equation . (8x² − 2xy + 7) dx + (4y² − x² + 8) dy = 0 is exact.…

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Q: 8 The angle between 0 and 27 in radians that is coterminal with the angle -π in radians is 3

A: The answer is given below:

Q: Deriving the formula for volume generated by revolving the first- 8x and the line x = 2 about =…

A: Given problem:- Deriving the formula for volume generated by revolving the first quadrant area…

Q: Given: y² = 2x - 2 bounded by y = x-5. The points of intersection of these two curves are {A}…

A: y2=2x-2 bounded by y=x-5

Q: 8. y=x²³²₁ x=2, x-axis; about the y-axis ४.

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Q: 201 Q1: Locate the zeroes of the following functions and determine their order. 2) z³ sin(z - 1). 1)…

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Q: T(n) = (n − 1)!

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Q: f5(x³ + x)⁹ (3x² + 1)dx O 5(x³+x) ¹0+C 10 (x²³+x) ¹0 10 +C O 45(x³ + x) +C O(x³ + x)¹0+C

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Q: Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

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Q: above function is a solution of which of the following differential equations? y' = y² y' = y y' = 1…

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Q: For the function h whose graph is given, state the value of each quantity, if it exists. (If an…

A: As per our guidelines we are supposed to answer only first three parts. Kindly repost others parts…

Q: Find F(s). ℒ{t3e−4t}

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Q: Suppose that x² + y² = 82. dy (1) Use the method of implicit differentiation to find dx dy dx (2)…

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Q: Consider a plate (the plate has the same shape as the region enclosed by y = x² and y = 4) submerged…

A: Let's find force(F).

Q: Solve the equation |2x - 3| = 0 Rewrite |2x - 3| using the definition of absolute v

A: Topic:- algebra

Q: 28 Suppose cos(x) = and csc(x) < 0. Give all answers as exact values (no decimals 35 a. The terminal…

A: Use Trigonometric identities

Q: Use a graphing utility to graph the equation. Use a standard setting. y = x2 + x − 12   Approximate…

A: The given function y=x2+x-12

Q: Prove or disprove that the series below converges n-1 Σ(-) n=1

A: Let's prove that given series is converges or not.

Q: Evaluate the integral. (Remember to use absolute values where appropriate. Use C for the constant of…

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Q: 6. Obtain the TSE of f(x)=2x-² in powers of (x-1).

A: Solution is here

Q: Find the area of the region enclosed by the curves y=2 sin x y = 2 sin x and y=2 sin 2x for 0≤x≤ T.…

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Q: R is the region bounded above by the graph of f(x) = 4x - 2x² and below by the x-axis. Find the…

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Q: Find the values of a that satisfy the inequality a. (x-1)(3x) > 0 b.2< 3x+1 2x+4

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Q: 2x-x² dx

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Q: Given the equation y The amplitude is: The period is: The horizontal shift is: The midline is: y = =…

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