Use the identities cos 20 = 1 – 2 sin? 0 = 2 cos? x – 1 to help evaluate the integrals. | NOTE: Enter the exact answers. sin? dx +C 2 cos - dx CoS 2 +C

Q: Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder r? + y? 64 and…

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Q: Given the power series expression Σ 4 n x" + 2 n (n - 2) x" n = 0 n = 3

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Q: Find the area of the triangle below. Carry your intermediate computations to at least four decimal…

A: area =s(s-a)(s-b)(s-c) where s = (a+b+c)/2 s= (12+17+9)/2 s= 19 area = 19(19-12)(19-17)(19-9) area =…

Q: Let f(T) 16 Using the definition of derivative at a point, f'(3) = lim f(x)- f(3) enter I - 3 the…

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Q: Betermine whether the Mean Value theorem can be applied to f on the closed interval [a, b)]. (Select…

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Q: Suppose f(x) = – 2x – 2x - 8. Compute the following: A.) f(- 3) + f(2) = B.) f( - 3) – f(2) =

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Q: Find a point on the hyperboloid x2 + 4y2 – z2 = 1 where the tangent plane is parallel to the plane x…

A: Given  and plane

Q: Find the equation of the tangent line to the curve (a lemniscate) 2( +y) = 25(x - y) at the point (-…

A: 2(x2+y2)2=25(x2-y2)2(x4+y4+2x2y2)=25x2-25y22x4-25x2=-25y2-2y4-4x2y22x4-25x2=-25y2+2y4+4x2y2different…

Q: graph of the function "arccot(x)".

A: We have to draw the graph of the function "arccot(x)".

Q: Find the arc length over the domain 0<t<5 7t 1 10) x= V-7t – 2, y=- + | 4 2

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Q: Suppose that the velocity v(t) (in meters per second) of a sky diver falling near the Earth's…

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Q: Are the following convergent or divergent? Show your work and state the reason 100 11) Ση n=0

A: The summation of n, n from 0 to 100.

Q: 2) With respect to the origin 0, the position vectors of points A, B, Cand D are given by OA = 1 OB…

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = 2(x+2)2…

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Q: graph for the function arctan(x).

A: f(x)=tan-1(x)

Q: Aldo deposits $60,000 into an account that pays simple interest at a rate of 2% per year. Melissa…

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Q: If a = - 5i – 3k and b = i+ 2j then: - 2a – 3b i+ j+ k

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Q: The intermediate value theorem can be used to prove that the equation x^2+7x+6=0 has at least one…

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Q: The velocity graph of a car accelerating from rest to a speed of 105 km/h over a period of 30…

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Q: 4. Find the area under the following curves over the indicated interval: (c) z = -3t2, y = 2t, for 2…

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Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2.…

A: The given function,   f(x)=a+3x+2x2if x&lt;24x2+6x+8if x≥2

Q: 7 on the interval [1,4], find a point c between 1 and 4 so that it satisfies the Mean 2x Given the…

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Q: Mrs. Galicia is creating a bunny farm. The farm starts with 820 bunnies and is growing at a rate of…

A: The given data is: Number of bunnies P=820 Growth rate r=20.75% How many months will it take for the…

Q: fx,у) %3D -2у + зху + 8у - 4х2- бх — 7 then f equals ху О Зу - 8х — 6 O -12y O Does Not Exist Оз…

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Q: Find the average value of the function over the given interval. f(x) =13–x² on [-3,3]

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Q: 7. The raidus of a circle is equal to 4m and is measured with an error of ±0.5m. Use differentials…

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: determine if it converges or diverges   a) cionverges by series p b) diverges by series p…

A: To solve the following problem

Q: Use APQR, as needed, to complete the given parts. Part 1: Let h be the height of APQR. Find the…

A: Using the given figure of the triangle PQR to find the answers of the given questions.

Q: dy: cos(y) + 7 Consider the integral This can be transformed into a basic integral by letting u =…

A: We can fill up the blanks as below.

Q: 12. SHOW ALL WORK For the given point (6/3, 6) in rectangular coordinates, find equivalent polar…

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: 8. (Section 4.3) A motorboat is traveling at a constant velocity of 5 meters per second when it…

A: Given,            A motorboat is traveling at a constant velocity of 5 meters per second when it…

Q: = [[[In(x² + y² )dxdydz

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Q: 2х x-1 lim X-3 6- 2х

A: Solving the problem by finding the value of the limit.   NOTE :: As per our Expert guidelines we are…

Q: 1/4+1/5-1/6+1/7-1/8

A: Given, -1/4+1/5-1/6+1/7-1/8

Q: Given P = (4, – 4) and Q = (3, – 4), find the components of PQ PQ =

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Q: A fence 4 feet tall runs parallel to a tall building at a distance of 2 ft from the building as…

A: Find your answer below

Q: evergreen nursery usually sells a type of shrub after 5 years of growth and shaping. The growth rate…

A: Given query is to find the height function and the height of the shrubs when the sold.

Q: Sketch the solid whose volume is given by the iterated integral and rewrite the integral using the…

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Q: Find all horizontal asymptotes for f(x) Vx2+3 %3D

A: Solve the following

Q: 5. S(-3 Vx- 6x Vx) dx

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Q: Solve the given differential equation by variation of parameters. y" - y' = xe*

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Q: Composition. Suppose we want to find the composition of a function with itself. Let g(x) = -3(x+5)2…

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Q: Find the area of the region that is bounded by the given curve and lies in the specified sector. r=…

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Q: A box with a square base and open top must have a volume of 442368 cm³. We wish to find the…

A: Solution: Let x be the side of the square while y be the height of the open box, then as per the…

Q: Electric Current. Suppose you have two electronic devices that have different currents when x = 2…

A: The solution is given below

Q: Suppose that in a certain country the life expectancy at birth of a female is changing at the rate…

A: We have to find an expression and life expectancy (in years) at birth of a female born in 2000.

Q: Solve the following differential equations of (2.xy² – 2y)dx +(3x'y-4x)dy=0

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Q: Find the area of the surface given by z = f(x, y) that lies above the region R. f(x, у) Va2 - x2 -…

A: Here we have to find the area of the surface given by z=f(x,y) that lies above the region R.

Q: Given the function f(x) = -8+8x, calculate the following values: %3D f(a) = f(a + h) = f(a + h) -…

A: Given query is calculate the indicated function.

Q: Solve (x2 + 1) + 2xy = dy 2 dx x²+1

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