Evaluate the following expression. Your answer must be in exact form: for example, type pi/6 for DNE if the expression is undefined. arcsin sin (²7) 5 = or

Q: 17. Use the method of disks/rings to determine the volume of the solid obtained by rotating the reg…

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Q: an = arn+1 an arn-1 Option 4 The general term of geometric progression is an=arn a" = arn-1 Option 3

A: Topic = Series

Q: he time it takes an average athlete to swim 100 meters freestyle at age x years can be modeled as…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is  take derivative

Q: Three numbers are in the ratio 2:5:8. If their sum is 60, what is the smallest of these three…

A: Given three numbers are in the ratio 2:5:8. consider these three numbers are 2x,5x,8x. Also given…

Q: If f(x) = Σ n=0 M8 n=0 n + 1 -x" and g(x) = = n+ 2 ∞ Σ n=0 (-1)"+1", find the power series of(f(x) -…

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Q: Find the center and radius of the sphere with equation (x + 3)² + (y + 1)² + (z − 1)² = 64 Center:…

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Q: If v=3i+2j+ k,w=3i+ 4k and the angle between v and w is 90, find v.w (solve)

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Q: Evaluate the expression under the given conditions. sin(20); sin(0) ==, in Quadrant II 0

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

A: A tank contains 240 litres of fluid in which 50 grams of salt is dissolved.pure water is then pumped…

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

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Q: Find the radius of convergence for Σ (sin²n)x". n=1

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Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: However, the answer is (1/2, 0).

A: Given curves:- y=x+2 , y=x2 -4  find center of mass

Q: 1 2 1 Q2. If A = 200 31 2 find A¹.

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Q: Write an equation for the transformed logarithm shown below, that passes through (2,0) and (1,3) N 4…

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Q: Let à . Find al.

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Q: 1₁ f(x)dx = 6 ln([x]) - 6 ln(|x]) — -—-cos(5x). -cos(5x) - 3e + x² + 6x + C

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Q: The intervals on which f(x) = x² lnx is increasing and decreasing, and the intervals of concavity…

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Q: Suppose that csc a = -(√5)/2  and 180° < a < 270°. Find the exact values of sin a/2 and tan a/2…

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Q: Given the function of f(x) = 2x² - 10x +9 on the interval [-2, 0], find a point c between -2 and 0…

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Q: a.) S (t² – 9) (4 – t²) dt from 2 to 3 b.) fx dx from 1 to 2 c.) f (x² - d.) f sin 0 de from 0 to…

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Q: For the function f(x)= (8+2x, if x5) A) use definition of continuity at a number (3- step test) B)…

A: Concept: These are the three requirements for continuity: 1). The equation for the function is x =…

Q: Compute the given improper integral. Enter the exact value of the answer. 1 /x² 400 29 So - dx =

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Q: Solve the equation. dx dt 2xt² C An implicit solution in the form F(t,x) = C is =C, where C is an…

A: To find the solution of given differential equation.

Q: The Maclaurin series of the function f(x) = 2x² sin(9x) can be written as f(x) = Σcna" 71=0 where a…

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Q: 4- If w=e³x+4y cos 5z then Wxx + Wyy+Wzz 5- The general solution of y"+4y+3y=0 6- The series=(1+)…

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Q: find the tangent line of the function below f(x)=x+4/x and (2,4)

A: This question is based on finding slope to find out tangent line at a point.

Q: Find the distance between the points A(-5, -6, 2) and the plane that includes the y-axis and the…

A: As per Bartleby guidelines rule I am answering only first question as both question is not a…

Q: Find the curvature K of the plane curve at the given value of the parameter. (Give your answer…

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Q: Numerically estimate the slope of the line tangent to the graph of the function f at the given input…

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Q: a. Find an equation for the secant line through the points where x has the given values. p. Find an…

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Q: Using Rolle's theorem for the following function, find all values c in the given interval where…

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Q: Find the daily consumer surplus if the demand equation is given by p=−0.3·q+120, and the business…

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Q: Given that 2+i is a zero of f, find all other zeros. (Enter your answers as a comma-separated list.)…

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Q: Find all solutions of the equation 2 sin² x The answer is x₁ = COS x = 1 in the interval [0, 2π). ,…

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Q: Convert the rectangular coordinates to polar form (√8,√8) (4,5) (√2,72) Option 4 O (2,37) (4,5)…

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Q: X = [₁,√38² - 1 db y = v √314 - 1 dt, -2 ≤x≤-1

A: Firstly find  derivative of y then find length of curve

Q: a) Find all values of x where the function is discontinuous, and (b) graph the given function f(x) =…

A: Here, the given function is: f(x)=2x+2            if x≤0x2-2x+2   if x&gt;0

Q: * The differential equation 2ydx-(3y-2x)dy=0 is Exact homogenous and linear Exact and linear but not…

A: The answer is given below:

Q: A. Using convolution to find L-¹ [(5+2)(5+4)]. B. Test the divergence of the following series 00 n

A: Note:- according to the company policy we can attempt only one question so please upload the next…

Q: bounded by the curve. Find the area y=2x+₁²₁ y=10x-x²

A: Given:  the curve is y=2x+12                               y=10x-x2

Q: B: e²+² dydx Jo Jo

A: To solve the integral ∫0∞ ∫0∞ ex2+y2dydx

Q: If b) [ f(x)dx = = n(x)) = 1 then find f(x). = + = 2 x ² + 6x -tan(x) - 4e + + 6x + C

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Q: c) [1 graph of : Estimate the area under the f(x) = x² + 1 from x = 0 to x = 2 using four…

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Q: If 7 (² then f(x)dx = 7 and is equal to Select one: O 5 O -5 O-2 2 7 [²50 none of the others 5…

A: Topic = Integration

Q: A company can produce a mini optical computer mouse at a cost of $7.50 each while fixed costs are…

A: A To find; The average cost function. Given information; The company cost function is Cx=7.5x+80.…

Q: Question 2 Consider the point P(-2, 1, 4) and the vectors a = and b=. (a) Find the unit vector u…

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Q: A tank contains 240 liters of fluid in which 50 grams of salt is dissolved. Pure water is then…

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Q: Find all values of x in the interval [0, 2(pi)] that satisfy the equation.  14 + 7 cos(2x) = 21…

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Q: Put the following program in standard matrix form: Z = X₁ + X₂ X1+ 5x2 <5 2x₁ + x₂ ≤ 4 maximize:…

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