Double-angle Formulas (d) sin 20 = 2 sin cos 0 (e) cos 20 (f) tan 20 = cos²0-sin² 0 = 1-2 sin² 0 = 2 cos² 0 - 1 2 tan²0 1-tan²0

Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: 2) A: By using partial method solve [2x² cos x dx

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Q: 1 -1 -2 Use the figure below to find the exact values of the following definite integrals. 6 8 10…

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Q: Find the Do not include "f'(x) =" in your answer. derivative of f(x) = (-x³ - 2x² - 2x) sin (x).

A: Given f(x)=(-x3-2x2-2x)sin(x)

Q: write this on paper. I need a step by step handwritten work not just the online calculator

A: Given the series,     ∑k=1∞3k3+3k2+5

Q: Suppose you are taking a multiple-choice test with c choices for each question. In answering a…

A: We have to find the conditional probability.

Q: 1. Find an equation for the set of points whose distance from the plane y = 2 is the same as the…

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Q: For the initial-value problem: y = 1+2, 1st≤ 2, y(1) = 2, h = 0.25, the mesh points (t) can be…

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

Q: Suppose w = x³yz + xy +z+3 and x = 3 cost, y = 3 sint, z = 2t. Then dw dt t= . [Show solution.] =

A: Given :w=x3yz+xy+z+3x=3costy=3sintz=2t

Q: Express 3p 12pq+4q² -1- 8p² 6p² +2pq as a single fraction in its simplest form.

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Q: Find a result by using undetermined coefficients for ý - 5ý +6v = xả + e2x + 3 sin2x

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Q: Estimate the slope (slope = rise/run) of the tangent line to the curve. Ay 10 9 8- 7 6 LO 5- 4 3- S…

A: Here we will find the slope,

Q: For the function f(x) = 7x³ − 2x² + 2x + 9, find f''(x). Then find f''(0) and f''(9). f''(x) =…

A:

Q: 3 fx²³√₁² + x² dx X 2 a

A: Sol

Q: 2. Find the square roots of the complex number: Z=3+4√7 i

A: Square root of complex number

Q: d. Suppose that the cylindrical tank in the accompanying figure is filled to a depth of 4 feet at…

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

Q: x+2y+xy'=0  solve thisODE w/o using the Exactness Method. use another method. what method ?

A:

Q: 3. Find the general solution of the following DE. y' = 3 (y + 1) O y = ce³x - 1 3y = ce³x - 1 Oy =…

A: Use variable separable to Solve this problem.

Q: 8. Given the space curve r(t) = (sin²t, cos't, tant), find an equation of the tangent line in…

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Q: Question 3. The parametrization of a curve C is given by r(t) (a) Find r' (π/6). = (sin(t), cos(t),…

A: To find parametric equations of the tangent line to the given curve.

Q: Find the mass of the portion of a sphere in the first octant with radius 1 and density function…

A:

Q: Find the points on the graph of y = (2x²+1)(x-5) 4 where the tangent line Slope is 1. 0=y= (2x²+1)…

A: We an find the point if the given function where the slope of the tangent line is 1.

Q: Find the absolute extremum within the specified domain. 21) Minimum of f(x)=(x2+4)2/3; [-2,2]

A: According to our policies we are allowed to solve one question at a time. Kindly repost other…

Q: on what intervak of x is the graoh is g(x) increasing? justify your reasoning

A: To determine the interval of x for which the graph of gx is increasing.

Q: X The variable h is the height of the ladder's top at time t, and x is the distance from the wall to…

A:

Q: tank has pure water flowing into it at 10 liters/min. The contents of the k are kept thoroughly…

A: Please refer to the image below

Q: 6. Find the (xy + 1) dx + x (x + 4y − 2) dy = 0 integrating factor and solve DE. In x + xy + 2y (y −…

A: A detailed solution is given below.

Q: 59. A. If ey dy = 3x² and y(1) = 2, then the particular solution y(x) is dx y = ln x³ +2 C. y = ln…

A:

Q: Given f(x) below, find f'(x). Do not include "f'(x) =" in your answer. f(x) = (3x³ + 3x² - 4).x²

A: Given, f(x)=(3x3+3x2-4)x2

Q: For the function below, find (a) the critical numbers; (b) the open intervals where the function is…

A:

Q: 2. Letf: R→R be defined by f(x) = 4x -x2. Let B be the range of f. (a) Find B. (b) Fins f-1([0, ∞…

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Q: A conical tank has height 3 m and radius 2 m at the base. Water flows in at a rate of 2 m³/min. How…

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Q: For the function f(x) = 7x³ - 2x² + 2x +9, find f''(x). Then find f''(0) and f''(9). f'(x) = Select…

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Q: 8. Solve the ff DE y" -9y = 0 y = c₁e³x + c₂e-3x y = c₁ cos 3x + c₂ sin 3x y = ³x (c₁ cos 3x + c₂…

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Q: Q2.B. A bag contains 19 tickets numbered from 1 to 19. A ticket is drawn and then another ticket is…

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Q: 1. Find (A-1 B-1), If 0 -2 1 A = [] and B = [ [²4] 0

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Q: (x), a, and L. Select the correct answer below: Of(x) = -x + 2; a = -1; L = 3 O f(x) = -x + 3; a =…

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Q: Use the graph to find the following limits. a. lim f(x) b. lim f(x) X-3 X-1 a. Find lim f(x) or…

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Q: dh dth-19 1.4324 Incorrect Incorrect m/min m/min

A: Follow the procedure given below.

Q: 47. Find the sum of the values of a and b such that f(x) = 2ax² + bx + 3 has a relative extremum at…

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Q: Find the absolute extreme values of each function on the interval. 1 F(x) = - 0.5 ≤ x ≤2 x2, =…

A: Topic:- application of derivatives

Q: 1. Prove Trigonometric Identity (a) cos (sec) - cos 0) = sin2 0 cose (b) (c) 1-sin 0 1+cos 0 cose =…

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Q: Ex3. Find the absolute maximum and the absolute minimum values of the function f(x, y) = 2 + 2x + 4y…

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Q: T² T³ T Y pln(y+z) e dxdzdy = [Show your solution.]

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Q: S x² + x x³ − x² + x - 1 - dx

A: We have to solve given integration by partial fraction decomposition.

Q: 1 (√x² – 9)5 dx

A: To find the value of given indefinite integral.

Q: 77. an = (In 3 In 2) + (ln 4 − ln 3) + (ln 5 − ln 4) + - - + (In (n − 1) - ln (n − 2)) + (lnn − ln(n…

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Q: Use sigma notation to write the Taylor series about x = 3 for the function. ON X 1

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Q: -a cos y + ze-1/(1+y²), then If f(x, y, z) = el- of ?x ; |(1,0,п) = fæ (1, 0, 7).] (Show solution.)…

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Q: R is the region bounded above by the function f(x) = −3x/4 + 7 and below by the function g(x) = −x/2…

A: Solution of given question is written in below steps.