Find the length s of the arc that subtends a central angle of measure 40 degrees in a circle of radius 13m. (Round your answer to two decimal places.)

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A: Given problem:- Determine the volume of solid obtained by rotating the region bounded by y = x2 – 2x...

Q: 43-46. Arc length Find the arc length of the following curves. 12. 4V2 3/2, 2t ), for 1 < t < 3 3 fo...

A: (46). The given curve is: r(t)=t, lnsec t, lnsec t+tan t ;          0≤t≤π4

Q: s Vã(4 – x)dx

A: Given: I=∫19x4-xdx We know that; The Power rule: ∫ax+bndx=ax+bn+1an+1+C ; n≠-1 And ∫c·fxdx=c·∫fxdx, ...

Q: When multiplying matrices to produce a new vector matrix, what must the dimensions of the matrix to ...

A: Suppose the origin matrix be A to multiply it with B to get the new vector-matrix C. That is BA=C

Q: (12) х4 Яу + 2x3у -1 + 2x3у %3D 1 dx

A: For the solution follow the next step.

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A: As x= r cosθ  and  y=r sin(θ), then          r = x2+y2    and  θ=tan-1yx

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Q: S Vxi + 2x² + x dx

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A: The objective of the question is determine the least positive coterminal angle with A.

Q: dy (10) (8у — х?у)+x- ху? — 0 dx

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

Q: Find the value x=a where the function is discontinuous. For the point of discontinuity, give (a) f(a...

A: Given the query is to find the point of discontinuity and find indicated limits.

Q: Which of the following graphs represents y = 3sin(2x)? /2 3n/2 2x 32 O A O B y y MAP /2 72 3x 2 -1 3...

A: Solving the problem by finding the correct graph.

Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: Given f(x,y) = xy-3xy. Evaluate [ fdy O 14y-27y + C 6 O -6y +8y/3+ C O 6x2 – 45x + C 4 O 2x2 – 12x+C

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Q: 1. Evaluate the following limits. x² + 3x+ 2 lim, →-1 x' +4x +3 2 а. х? — 2х lim,→2 b. Vx? +5 – 3

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Q: Find the volume of the solid that results when the region in the first quadrant bounded by the curve...

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Q: The prism is bisected by the xz-plane. If P = (5, 2, 4), what is the area of the rectangle formed by...

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Q: Calculate the work W against gravity required to build a cylindrical column of height 6 m and radius...

A: Formula: Weight = mass×gravity ×hight  

Q: Using the definition of the derivative, find f'(x). Then find f'(-4), f'(0), and f'(4) whenm f(x) = ...

A: We can find the derivative as below.

Q: Below is a value of cosh x. Use the definitions for hyperbolic functions and the identity coshx- sin...

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Q: Function g is graphed below. Select all correct statements about g at x = 3 a. Both lim g(x) and lim...

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Q: Find z dV, where E is the solid tetrahedron with vertices (0,0,0), (1,0,0), E (0,4,0), and (0,0,2)

A: The vertices of the tetrahedron are (0,0,0),(1,0,0),(0,4,0),(0,0,2).  x varies from x:0→1y varies fr...

Q: dx

A: Let  x-2 = t  Differentiating both sides dx= dt  

Q: a. f(x) = 6 Select the correct choice below and fill in the answer box if necessary. C A. The deriva...

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

Q: 16 3. Find an equation in Cartesian coordinates for the conic from with equation r = Identify the ty...

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Q: find an equation of the curve that satisfies (dy)/(dx)=45 yx^14 and whose y-intercept is 2 y(x) =

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Q: Create a formula for the sequence Show how you get the -2,0,3,8,15 using the formula Find the series...

A: Difference between nth and (n-1) th term is nth prime number. 

Q: (x-G -0 +2) dx + 2(x+2y+2) dy:

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Q: The vectors x and y are each of length 3 units (ie. |x| = |y| = 3)). If |x+y| = square root 17, then...

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Q: 器+4+5y = 8 sin x when dx X -0, y=o y'eo Find when x = T

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Q: Find the x-value(s) where the graph does not have a derivative. Ay The x-value(s) where the function...

A: We have to find value of x where function is not derivative.  

Q: Find the first derivative or h'(s) of the function below using the techniques of integration: 4 h (s...

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Q: Analyze and apply statistics Find the derivative of the following:  a. y = 2x³ - 3x² + 6x – 5      b...

A: As we know that; The sum difference rule: f±g'=f'±g' The Power law: ddxxn=nxn-1 The Product rule: f·...

Q: Evaluate each limit using the appropriate algebraic methods. Vx + 8 a) lim- x-1 x+2 b)

A: Since you have asked multiple questions in a single request we would be answering only the first que...

Q: Evaluate the integral: S (3x-3 + 3)dx Choose the most appropriate answer.

A:     ∫ 3x-13+3dx=∫ 3x-13dx+∫ 3dx=92x23+3xAdd a constant to the solution=92x23+3x+C

Q: dy +Zy =0 du

A: Given: dydx+2y=0   We know that; ∫1ax+bdx=1alnax+b+C And ∫a·fxdx=a·∫fxdx, where 'a' is the constant....

Q: only 8 please

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Q: Q5:- Evaluate the following limits x²+8-3 1. lim X→-1 x+1 x+3 2. lim x→-3 x2+4x+3

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Q: 42) Find the surface area of the solid that results when the region in the first quadrant bounded by...

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Q: (2r+3, ifx 0

A: limit of function exist if left hand limit =right hand limit Consider left hand limit limx→0-(2x+3)=...

Q: Find the degree of the term – 5: - Find the degree of the term 6x°: Find the degree of the term læ?:...

A: To find the degree of the polynomial.

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Q: nd all valuesx=a where the function is discontinuous. For each point of scontinuity, give (a) lim f(...

A: Given the query is to find indicated limits and discuss the continuity of the function.

Q: Direction: Find the derivative of the function. S(p) = VP – 1 VP +1 Select one: 1. f'(p)

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Q: Use the properties of limits to help decide whether the limit exists. If the limit exists, find its ...

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Q: The value of tan is -1 1 undefined

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Q: MOse the intermediate value Fun ction to Show that ex=3X Somewhere between X=0 and X=1.

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Q: CONSIDERING THE SYSTEM OF LINEAR EQUATIONS REPRESENTED BELOW, CHOOSE THE ALTERNATIVE THAT CONTAINS T...

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Q: e is an angle in standard position with T(-20, -21) on its terminal ray. Find cota 21/20 -20/21 20/2...

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