Compute*cos(Inx)dx. 1 A.-—-e (cos1-sin1) - 2 2 1 B.- e 1 C.-e TT 1 2 e

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Q: Solve f(x + 1)(x + 2)²(x² − 1)dx with and without the even-odd theorems (show both solutions).

A: Solved below.

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A: projectile motion

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Q: (b) f is concave down on (-∞, 1) and concave up on (1, ∞). (c) lim f(x) = -∞ and lim f(x) = ∞. x-1-…

A: As per the guidelines we can solve 3 parts only

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A: Let's solve given integral.

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A: I have shaded the area green which is to be calculated

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A: Explanation of the answer is as follows

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A: The population of a town is decreasing at a rate proportional to its size.In 1980, the population…

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Q: 3 S ₁² √ (²√₁² - ²√+²) ³ dt

A: Given

Q: . Compute for the relation between the cubic inch and the cubic cm by taking the ratio of the volume

A: 1 inch = 2.54 cm    1 cubic inch  = (1 inch × 1 inch × 1 inch)  = (2.54 cm × 2.54 cm × 2.54 cm)  =…

Q: Find the derivative of f(x) = ✔ (6x¹ + x² − 1) 5.

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Q: 18. What is the length of the polar curve below? 3πt x = 8cos (0) for 0 ≤ 0 ≤ ³1

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Q: Find the limit of the following sequence that the limit does not exist- or determine. {(₁ + + )"}…

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Q: This answer is incorrect do you know why?

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Q: d/dx(arctanh(2x)) 2XIn2 A. 1-4X 2x B.- 1-4X 2 In2 C. 1+2x 2x D.- 1-2x

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Q: If a sphere passes through the points A(0, 1, 2) and B(−1, 2, 2) and its center C lies on the…

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Q: i can't understand your solution

A: We have to explain the solution.

Q: In x Compute -dx. 3√√/x 9 X 3 A²x²0 nx-x²²+ C A.- In 2/3 2 4 1 B.- - +C X 3 4/3 4 3 C.--(In x)x-4/3…

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Q: Determine the x- and y-intercepts for the given function. B(x)=5x+8

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Q: chie in 4126 123V5LICE 3. A parcel of land has an area of 5 hectares. Express this area in square…

A: topic - unit conversion 1 hectare = 107639 square feel

Q: Solve • ƒ²₂(x + 1)(x + 2)²(x² - 1)dx with and without the even-odd theorems (show both solutions).

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Q: Find the equation of the tangent line to the graph of the function f (x) = sin (7√) at the point…

A: Here we have to find the equation of the tangent line of the function…

Q: Find the derivative of f (y) = 8 tan (y) V √y 8 8 √Y y4

A: The given function is: fy=8tany-y8-8y4y As we know that; The Sum/Difference rule: f±g'=f'±g' The…

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A: We have to find the volume.

Q: ¯(x) = 6x - 4x x² +1 n [-3,0] on

A: Average

Q: Identify the surface area formed by revolving the graph of about the x-axis y = cosh x, 0 ≤ x ≤ 1

A: Graph of the function÷

Q: Solve ₂(x + 1)(x + 2)²(x²-1)dx with and without the even-odd theorems (show both solutions).

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Q: Ashley heard that he could triple his money in 12 years if he invested it in a large…

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Q: ds π Find a particular solution of =10csc² 2t determined by s= 2 when t = - dt

A: Given that the differential equation  ds/dt=10*csc^2(2t) Determine by s=2 when t=pai/4  To find the…

Q: 7 x = R¹, ƒ(x):=· + 3√x² 1-x 1+x² +ea² +1 +π².

A: see below the answer and calculation

Q: z is a function of x and y implicitly defined by Find and i at (x, y, z) = (0, 2, -1) əz Əx Əy y³…

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Q: Find the average value of the f(x) from z = 10 to z = 16 f(x)= √² - 100 I

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Q: dy Find by implicit differentiation, given that x²y – 2y6 = =-5. Your answer could involve both dx x…

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A: We know that surface area generated when the given curve is revolved about the given axis…

Q: Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression…

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Q: Let line 1: x = = = and point P(1,0,1). 2 ● Find the set of parametric equations of the line…

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Q: S N

A: Use ratio test for checking the radius of convergence

Q: xpand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of…

A: We  have simplify above questions

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Q: The equation implicitly defines y as a function of t. Find dy dt 1² sin (7 y) = -8

A: This question is based on implicit differentiation.

Q: II. Consider the polar curves C₁ : r = 3 (in blue) and C₂:r = 2-2 sin (in red) and let R be the…

A: Given that polar curves  C1 : r = 3  and C2 : r=2-2sinθ  we have to find all points of intersection…

Q: a. On a rectangular cartesian coordinate system, sketch the parallelepiped having the vertices (1,…

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Q: If C = {(x, y): 1 ≤ x ≤ 2, y = ln(x + √x² − 1)}, find the length of the curve. -

A: C=x,y: 1≤x≤2, y=lnx+x2-1