घा 13) convergant or Divergant A) Each tem is less Ehan that of a converget Bach tem is less Anon Ehat of a conagant e-saies CFach tesn is greater Ehon that of a divergent pser DEach Gem is greaber Ehan that of a divergont 4+9^ e hamonic sesies

Q: 9 Select the conic section represented by the equation. 4y - 3 = 0 parabola line ellipse…

A: We will find the conic section which is represented by the equation.

Q: 00 3+n converge absolutely, converge conditionally, or diverge? n- Does the series E (- 1)"- n= 1…

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Q: Use the given information to find the indicated probability. An B = Ø, P(B) = 0.1, P(A U B) = 0.1.…

A: Solution - Given:-  P(A U B) = 0.1 ,  P(B) = 0.1  P(A) = ?

Q: 1 1. S dx х2-5х+6

A:

Q: The directional derivative of the function f(x, y, z) = x²y° – 2z° at the point (1, 1, 1) in the…

A: We want to find directional derivative in the direction of the vector

Q: Find a power series solution of the differential equation

A: Use power series for finding  solution.

Q: Use any method to determine if the series converges or diverges. Give reasons for your answer. Σ…

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Q: The tangent plane and the normal line of the surface y = x² + z – 6 at the point (2, -1, 1) have the…

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Q: An object moves along a coordinate line with velocity U(t) = ((9 - 1) units per second. Its initial…

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Q: You have been asked to design a rectangular box with a square base and an open top.The volume of the…

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Q: 2 let C be an arbiterery curve from l0,0) to D). (2,4) Evala vute: (3x² oy, x-2)- dio

A: To find the value of the given line integral.

Q: A farmer wants to construct a fence around an area of 7776 square feet in a rectangular field and…

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Q: Calculate following derivative if y(t) 21-3 + 712. (Use symbolic notation and fractions where…

A: Given problem:- if y(t) = 2t-3 +7t2 find d2y/dt2 at t=2

Q: 1 dr r²Vr² – 9 -2.

A: answer is in next step

Q: Determine whether the function is one-to-one. {(2,6). (3,9). (– 7,3), (1, – 5)} Is the function…

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Q: Select the conic section represented by the equation. 16x 2 - 9y 2 + 64x + 18y - 89 = 0 circle…

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Q: If C denotes the curve parametrized by x = t, y = 2t2, z=t°, 0 <t < 1, then fx dz +y dy + z dx C O…

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Q: Let ü = and v =. If üxi = then determine the value of 3A+B+C. Answer: Finish attempt .

A: Find 3A+B+C=??

Q: Question Find dy and evaluate when x = -2 and dx = 0.5 for the function y = 10 sin (9x). %3D (Enter…

A:

Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: Completion Status: A Moving to another question will save this response. Question 5 Suppose a rock…

A:

Q: The position s of a point (in meters) is given as a function of time t (in seconds). 1 ;t = 1 S =…

A: The position s of a point in meters,   s=73t2-1t; t=1

Q: Write the logarithmic equation y = In (4x) in exponential form. The equivalent exponential form is

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Q: Let ü = and v =. If ü xö = then determine the value of 3A+B+C. Answer: Finish attempt..

A:

Q: Please

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Q: In(3x) Find the function f(x), such that f'(x)= f(1)=1.

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Q: 1. Determine the type and stability of the critical points of the homogeneous systems: dx (a) = x –…

A: we have to check stability of critical points

Q: 12 f(x) dx = | f(x) dx = f(x) dx where a = Σ and b = Σ

A: Use additive property of integral to simplified the integral.

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

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Q: Write an equation for the lowest-degree polynomial function with the graph and intercepts shown in…

A: Consider

Q: 3. Which of the following is always true for any real numbers x, y? For real e > 0, if Ix-yl se,…

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Q: 3. Consider the function f (x) = B - x/4 for 1 s x s 2 and f (x) = 0 otherwise. Determine the value…

A: Explanation of the answer is as follows

Q: Suppose k is a non-zero real number. Evaluate the limit algebraically. If it does not exist, explain…

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Q: Find the Taylor polynomial p1 (x) for f(x) = 8x2 at x = 5. %3D Provide your answer below: P,(x) = O

A: To find the taylor polynomial p1(x) .

Q: Find the limit of f as (x,y)→(0,0) or show that the limit does not exist. Consider converting the…

A:

Q: dx Vx² + 8x An appropriate trigonometric substitution to simplify this integral is x = f(t) where…

A: In the given question we have to find a suitable trigonometric identity to substitute in place of x…

Q: Suppose that csc(t) = and that tis in quadrant IV. Find the exact value of cos(t). -3/2 V5 V5 3 -2/3…

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Q: For the curve defined by F(t) = 4 cos(t)i + 4sin(t)j + 5tk evaluate s = ||F"(«)||du to find the arc…

A: see below the answer and explanation

Q: Please do 9 and 13

A: Use antiderivative formula for finding 9 and 13

Q: Directions: Evaluate the following integrai. Show your complete solution. 1. 1 2. dt 3. (3x? – 1)(x+…

A: 1. ∫x2x dx2. ∫1t2+1t3+1t4+1t5dt3. ∫3x2-1x+1 dx Note:     Multiple questions with multiple subpart…

Q: Without using a calculator evaluate the definite integral. | (10x - 6x +6) dx = Σ

A:

Q: 2. Find a power series solution of the differential equation y' = 4y

A: Use the power series for the solution.

Q: Sketch the region enclosed by y RV-eand r-1. Find the area of the region.

A: Region is bounded by the given curve y=e2x , y=e7x  and  x=1

Q: Find the area of the shaded region Blank 1 Note: Enter exact answer x = y 20 1000 y? 20 ||

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Q: Find the area of the region bounded by: r 9 cos(80) 0 < 0 < 2T

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Q: Here are three functions that are related to each other. Correcti Tries: 3 One is f(x). Another is…

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Q: The function, that is O everywhere except at t=0, is know as: None of these O Unit step O Delta O…

A: topic - functions

Q: Write out the first four terms of the series to show how the series starts. Then find the sum of the…

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Q: 4 Determine whether the alternating series E (- 1)"7 converges or diverges. 9 Inn n=2 Choose the…

A: FOLLOE NEXT STEP

Q: 33. f'(t) = sec t (sec t + tan t), -/2<t<T/2, f(T/4) = -1 %3D %3D 34. f'(x) = (x + 1)//x, f(1) = 5…

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