Finding a Limit In Exercises 11–28, find the limit. Use a graphing utility to verify your result. 1+x- 1 20. lim 3x

Q: Find the mode.   51​, 44​, 49​, 48​, 51​, 33​

A: Given  51, 44, 49, 48,51,33

Q: it. notation and fractions where needed.)

A: We have to find the value of the given limit according to the rule of limit

Q: Consider the planes x – 10y – 2z = 3 and 2x – y + z =-13. Find the following. 1. The cosine of the…

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Q: Find * sin (In æ) cos²(ln x) dx. cos (In x) , cos³ (In x) 3 cos (In x), cos³ (In x) 5 3 5 Option 3…

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Q: Answer the following about the function F(x)=x^4-24x^2+700. Justify all your answers. A. Find the…

A: Given

Q: D write tue nesxt two apparent of tue sequence tems 1, 농 '5 27

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Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v= (4, 5) a = 3 b = 1

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Q: Find * dx | 473 + 4x² +x 1 In|x| + In|2x + 1|+; 2x + 1 -In/x| + In|2x + 1| – 2x Option 2 Option 4

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Q: Find a set of parametric equations of the line with the given characteristics. (Enter your answers…

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Q: * sin" (3y) cos" (3y) dy 10 (3y) dy COS 15360 111546435 256 156009

A: Given:   Given:    ∫0π6sin133ycos103y dy

Q: Find the area bounded by these curves. (All choices are in sq. units) y = x? y = 4x – x2

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Q: 5. a. Write in your own words a definition of a complex numbers and Modulus of the complex number.…

A: 5. a. The complex number can be considered as a vector pointing towards a point in 2-D space, where…

Q: Let D be the tetrahedron in the first octant bounded by the coordinate planes and the plane 6x + 3y…

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Q: dx. J x² + 2x + 5 x+1 11 arctan x+1 11 ;+ 2x – In [/r² + 2x + S- *+ 2x + In Vx? + 2x +5+, arctan 2 2…

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Q: I. DIRECTIONS:Compute for the degree freedom of the given data 1) n = 26 = df = 3) n = 18= df = 2) n…

A: We have to compute for the degree freedom of the given data  (1) n = 26 ⇒ df =

Q: What is the radius of convergence the power series solution to: for Cx?+Qx+17)y"+y?-y=0,centered at…

A: The given differential equation: x2+2x+17y''+y'-y=0 can be re-written as…

Q: Find an equation of the tangent line and normal line to the curve given by f(x) = x? – 6x + 5 at the…

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Q: Find the area bounded by these curves. (All choices are in sq. units) y1 =+4 Y2 = r-2x

A: This question is related to application of definite integration, we will solve it using given…

Q: Find the angle 0 between the vectors in radians and in degrees. - co) + sin() = cos 4 u = cos i +…

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Q: Evaluate * (1 – x²)3/2° 1 + c 3 1-x2 -1 + c /1 – x² O Option 4 Option 2 2 1 1 + c /1 – x² :+c 3 V1-…

A: ∫ xdx/(1-x2)3/2 here assume that  1-x2 = u -2x = du/dx xdx = -du/2 ∫ -du/2u3/2 ∫ -u-3/2du/2 2u-1/2/2…

Q: Evaluate * Vx² – 1 dx.

A: Given,  ∫ x2-1x2dx

Q: C. Trigonometric Substitution. 9-у 1. dx 2. e2x+1 r2+VZ 3. (2+vz х. 4х — х2

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Q: Please complete the question. How do I check the answer.

A: Apologies for the inconvenience.   We can check the answer by multiplying the matrices. We will…

Q: S sin x In(cos x) dx

A: Given problem:- ∫ sin(x) ln(cos(x) dx

Q: Use Lagrange multipliers to find the maximum and minimum values of f subject to the given…

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Q: EVALUATION Directions: Find the derivative of the following functions. Choose the best answer from…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction ||v|| =…

A: Solution of question is written in below steps.

Q: Find an equation of the plane that passes through the given point and is perpendicular to the given…

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Q: A Finding Horizontal Asymptotes In Exercises 89-94, use a graphing utility to graph the function and…

A: Given query is to find the graph of the function and horizontal asymptote.

Q: Find the distance between the point and the line given by the set of parametric equations. (Round…

A: Let's find.

Q: Solve the differential equation by variation of parameters. 2y" — 4y' + 4у %3D е* sec x y(x) = %3D

A: Solution is given below:

Q: (cof 5X + CSC 5Xdx

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Q: in. The length of the square-end edge is in. The box height is The greatest volume of the box is…

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Q: A balanced ternary string of length n is a function f : [n] → {-1,0, 1}. The weight of such a string…

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Q: 1 Sava (x³/3=1)/x dx (Hint : let x = u°)

A: Solution of question is written in below steps.

Q: Find dr. J (1+z²)3/2 - In Vx² + 1 + x| + In |Vx² + 1 + x| - Ja? + 1 +c Vx² + 1 O Option 3 Option 1…

A: Let I= ∫x21+x232dx Let x=tanθ ⇒dx = sec2θdθ Substituting this in I, we get

Q: Given the region bounded by y=×^3 ,X = 2, and the x-axis (in Quadrant I) is rotated about the line y…

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Q: O y" + y 0 O y" - 5y' + 4y = 0 O y" + 2y' + 2y = 0 O y" - 3y' - 4y = 0 O y" + 2y' + y = 0 O y" + 9y…

A: Curve

Q: (30.4) Apply the ratio or root test and state whether the series is convergent (2n)! n=1 or…

A: Given:     series ∑n=1∞12n!     Split the series:     =∑n=0∞12n!+∑n=00-12n! Since the bounds are…

Q: Šolve the following problems completely and accurately. Part 1: Solving Differential Equations (1)…

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Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

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Q: 1. Given: 7- 4r S(x) (z+2)² ' with f'(x) = (z + 8)(z= 2) and f"(z) = 8(7x – 4) (x+2)³ (z+ 2)* * e.…

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Q: After a fall, a 79 kg rock climber finds himself dangling from the end of a rope that had been 13 m…

A: We have to find stress, strain and Young's modulus.

Q: Determine whether the following equality is true or false. 2-x2 D -1 x where D = {(x,y)| xr² + y²…

A: ∫∫Df(x,y) dA = ∫x1x2∫y1y2 f(x,y) dy dx.

Q: endicular to the plane z + 3y – x = 7 and containing the points (2, 5, 0) and (0, 2, -1)

A: Here we have to find the equation of plane which is perpendicular to the other plane.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: dx 6. S; ezx+1

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Q: Find two unit vectors in 2-space that make an angle of 45° with 7i+ 6j. NOTE: Enter the exact…

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Q: Check the continuity of the function at x : = 0 and x = 1

A: Given,           The piecewise function is given below :            fx=-2; -4≤x≤-1x-1; -1≤x≤0x2;…

Q: 18g(x) - f(x)]dx =] %3D 2 (Simplify your answer.)

A: This question is based on substitution of given integral.