A. Directions: Use the figure below in naming four pairs. 12 2 11 3 10 4 9 5 8 1. alternate interior angles 2. alternate exterior angles 3. corresponding angles 4. angles on the same side of transversal 5. linear pairs 6. vertical angles

Q: Determine Whether the series is convedesnt Lo divegent. Write the exact Lrt that you Us e, Sin(-2

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Q: Let fix) be a function that is continuous on the closed interval [0, 4]. Using the information in th...

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Q: ffis a one-to-one function with f(4) = 6 and f'(4) = 3, find the equation of the line tangent to y =...

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Q: 3X1+ 5X2-3Х3-9 2X1+6X2+4XЗ-14 -5X1+2X33D10

A: This question is based on solution of linear equation in three variables.

Q: Detemine whether the series is absolutely Convergent fonditionally convegent, ordivergent. 2²+2n+3. ...

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Q: If the first term of an AP is -10 and the common difference is 2 At which term will the value equal ...

A: an = a + (n-1)d  Here a =-10. , d = 2 and an = 0  Then find n 

Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) h(x) = si...

A: To find the critical numbers of the given function.hx=sin2 x+cos x, 0<x<2π  

Q: Find df, dg, ď²f and d g, if sing f +g = x+y, sinf

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Q: A baseball is batted straight upward. Neglecting air resistance, the velocity v (in feet per second)...

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Q: Find each of the following derivatives. g(2) = 2:7 – e* In(z) f(t) = In(ct+3) + cos(3*) 1 g(x) = 2* ...

A: This question can be solved using sum rule,product rule and chain rule of derivatives.

Q: Solve the difTerential equation. Write your answer in the form F(y)=G(y) do not attempt to sole for ...

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Q: Find the vector component of v = 2i – j+ 3k along b = 6i + 6j + 7k and the vector component of v ort...

A: I am attaching image so that you understand each and every step.

Q: Find the area of the region bounded by the curves y = 2 - x2 and y = -x. Select one: а. 11/3 O b. 9/...

A: This question can be solved using the concept of area between two curves.

Q: a) sin ) co () - c) tan 4) cot (- *) - ) me (- *) - sec

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Q: Solve using optimization 2. Find a pair of non-negative number that have a product of 162 and minim...

A: Solved below

Q: F(rn) = ¤n - | f(In) for For the function f(x) r2 + 2, write Newton's formula as In i 1 = f (In). so...

A: By the Newtown formula to find the Xn+1.

Q: Make the indicated u-substitution, and then use the Table of Integrals to evaluate the integral. e6x...

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Q: Find the mass and center of mass of the lamina that occupies the region D and has the given density ...

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Q: Evaluate: S (In(2æ – 1) – (5) + 25 ) dx - Limits: [1, 6] Using Trapezoidal, n = 30

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Q: Find dy/dx of the following function using Chain Rule. y=(x3 + 3)5

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Q: Find  v  if  r = 3  inches and the point rotates at  15  rpm.

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Q: The follamng expression shaws an eqution of a conic section such that he ordered pair (Vx, Vy), corr...

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Q: Find the centroid of the shape with endpoints (0,0),(0,4),(-2,4).(-2,6),(2,6),(2,3),(4,3) and (4,0) ...

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Q: Determine h' (x) when it is given that [h(2x)] 16

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Q: Example 5: Find the equation of the plane passing through the points (1, 2, -3), (2, 3, 1), and (0, ...

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Q: Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120

A:   Express the following radian measure to degrees. 1) 150 2) 210 3) 100 4) 120 

Q: Find the area of the region bounded above by y = -x2-3x-2 and below by y = -2. AY 51 4 3 54 32 t 1 2...

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Q: Evatuate the function at the given value of the independent vaniable. Simplity the results x) -- x) ...

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Q: Find the sum by adding each term together. Use the summation capabilities of a graphing utility to v...

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Q: Using ɛ-6 argument, prove that f(x) = x-[x] is continuous at all x ERexcept the integers. (Note: [x]...

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Q: Vx2 – 1 2

A: ∫x2-1x2dxIntegrate by parts ∫fg'=fg-∫f'gf=x2-1, g'=1x2f'=xx2-1,g=-1x

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not ex...

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Q: Find the centroid of the solid of revolution bounded by the curves x2y = 4, x = 1, x = 4 and y= 0, r...

A: Find your answer below 

Q: Find the volume of the solid generated the area bounded by the line through (1, 3) and (3, 7), and t...

A: Let's find. 

Q: Use left endpoints and 6 rectangles to find the approximation of the area of the region between the ...

A: Let's find. 

Q: Given that e* and e5x are solutions to the differential equation y" - 4y' - 5y - 0, find the possibl...

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Q: Evaluate: / (In(2r – 1) – () + 25) da + 25 ) dx | Limits: [1, 6] Using Trapezoidal, n = 30

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Q: What is the area of z=3.24?

A: We have to find area of Z=3.24 by Z table. 

Q: How to avoid getting an estimate that is closest to the largest root when using Bisection Method to ...

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Q: Find the extrema of the following function on the given interval, if there are any, and determine t...

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Q: a. Consider the circle, x2 + 6x + y? + 18y + 89 = 0 i) Write the equation of the circle in standard ...

A: "Since you have asked multiple question, we will solve the first question for you. If you want any s...

Q: Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Wher...

A: This is a problem related to numerical method. Here two ways are given to solve differential equatio...

Q: Given three points A(4, 3, 2), B(-2, 0, 5), and C(7, -2, 1). a. Specify the vector A extending from ...

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Q: Find the differential dy of y = tan x for x = π/4 and dx = −0.1.

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Q: 1 2 3 v(t) 30 50 40 60 The table above gives the velocity v(t), in miles per hour, of a truck at sel...

A: from given table t0=0, t1=1, t2=2 and t3=3v(t0)=30, v( t1)=50, v(t2)=40 and v(t3)=60Distance travele...

Q: h(x) = sin? x + cos x 0 <x< 2n X =

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Q: (d) State the domain and range of f and f-1. (Enter your answers using interval notation.) (-10, o0)...

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Q: A firm is most likely to engage in horizontal FDI, as opposed to exporting, when trade costs are and...

A: Topic:- algebra

Q: ^

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Q: S 3x° /1 – 2r3 x3 – 3x 1. Let f(x) = if a 0

A: solution:-f(x)=3x51-2x3   if x≤0     x3-3x              if x&gt;0∫-11f(x)dx=∫-10f(x)dx+∫01f(x)dxnow,...