A particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 5, S(0) = s(0) = 4, 4, v(0) = -5 s(t) =

Q: IV. The dimensions of a closed rectangular box are measured as 10cm, 11cm, and 18 cm with a possible…

A: Closed rectangular box has dimension 10cm , 11 cm ,18 cm. Let , L=10cm , B=11cm , H=18cm…

Q: Example 2: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: a)limx→1f(fx) limx→1f(fx)=flimx→1fx ⇒f(3) =2 limx→1ffx=2

Q: 3. The D.E. whose solution is y dy dy A. B. = xy dx dx XI> y Scanned with CamScanner Cx is I D dy dx…

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A: Use the double integral separate the variable

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A: f(x)=11+x Power series representation of function  about  is given by When

Q: /n³ + 1 n=1 3n³ + 4n² + 2 00 EXAMPLE2 Σ Since an is an algebraic function of n, we compare the given…

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A: We have to find the direction angle of the given vector. First as direction angle we will measure a…

Q: 7. Let F = x² + ²² − x² + y² j Find the line integral of the tangential component of F, from (-1,0)…

A: We have to evaluate the line integral. According to our guidelines we can solve only one question…

Q: Solve the trigonometric equation for all values 0 < x≤ 6. 2 sin 2x = √3 ******

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

Q: dr. Give your answer in an exact form (using surds, indices and fractions as necessary, do not…

A: To evaluate the following integral by taking k=3. ∫0∞e-kx2ekx+1 dx

Q: Find the area of the region enclosed between ƒ(x) = x² − x + 7 and g(x) = 2x² + 1. - Area =

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Q: Find the indefinite integral. (Remember to use absolute values where appropriate. Remember the…

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Q: 10) The graph of h(x) is shown below. Find the average value of h(x) over the interval [0, 10].…

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Q: . z = 12i + 16j

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Q: 65. an (1 + 1/1) n

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Q: x-3 x²-3x-18 f(x)=-

A: It is the behaviour of a graph of a function is how the graph behaves as x approaches to positive or…

Q: Suppose that f(x) and g(x) are given by the power series f(x) = 2 + 5x + 5x² + 4x³ +... and _g(x) =…

A: Given power series  f( x ) = 2 + 5x + 5x2 + 4x3 + ......g( x ) = 2 + 9x + 2x2 + 4x3 + ......h( x ) =…

Q: Example 1: Consider the graphs of the functions f(x) and g(x) given below. Find each of the…

A: "Since you have posted a question with multiple sub parts, we will provide the solution only to the…

Q: (b) So = x-4 r2 – 52 + 6 dx

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Q: Use the integral test to determine whether each of the following series converges or diverges. For…

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Q: Find the arc lengths of the curve y = ln (1-x²) on the interval 0≤x≤ decimal places. S= 1 Round your…

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Q: Find the following for p =, q =, and r = Find 8r+ 3q Answer: ^ Submit Answer

A: p=-7, -6q=-1, -11 andr=0, 9

Q: 99. Determine the concavity of the curve x = 2t + ln t, y = 2t - In t

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Q: 71. an = 1 Vnt tr 1 √2n4 san s 1 √²n²

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Q: Determine if the vector pair are orthogonal or not. a = 6i 18j and - b = -8i + 3j

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Q: 9) Use the table of values below to find the average value of f (x) over the interval 0≤x≤ 20. Show…

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Q: find a unit normal vector to the surface at the indicated point

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Q: S x³ +1 x² + 1 - da

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Q: Use the limit comparison test to determine if the series converges of [ 30².6 n-o O Converges O…

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Q: Find a polynomial f(x) with leading coefficient 1 such that the equation f(x) = 0 has the given…

A: Given: Polynomial f(x) has a leading coefficient of 1, has a degree of 7 andhas roots 4,5,3-i and…

Q: Determine the area of a triangle having the following measurements. C = 82° 34', a = 11.0, and b =…

A: Here the measurements  are given for a triangle . Now we have to find it's area.

Q: Evaluate the integral. Jarctan arctan(3t) dt

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Q: Find a quadratic equation with the given roots. Write your answers in the form Ax2 + Bx + C = 0.…

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Q: Given the two vectors u = (2, -4, 5) and = (-4,-2,-2), calculate the following. Write vectors in…

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Q: water faucet can fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the sink…

A: Water faucet can be fill a sink in 8 minutes, whereas the drain can empty it in 7 minutes. If the…

Q: 3) Curve Stretching Let F(x) = x 4-12x² +36x. use all significant Features (Domain, X and…

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Q: 79. Give an example of a divergent sequence {a,} such that lim |an| converges. n→∞

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Q: 61. an = nsin RIS n

A: We find the limit of given sequence.

Q: Find the first five non-zero terms of power series representation centered at x = 0 for the function…

A: The given series is: f(x)=51-x4

Q: 3) Find the average value of the function y(x) = 4 sec ² x over the interval [0, π/3].

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Q: Determine the number of triangles with the given parts. a = 4, b = 7, c = 11 O 0 1 2 3

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Q: A function f is said to have a removable discontinuity at a if: 1. f is either not defined or not…

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Q: 14) A student attempts to find the average value of y = x¹ on the interval [-2, 2] using the…

A: Given the function y=x-1 over the interval [-2, 2].

Q: ly the Ratio Test to determine convergence or divergence, or state that the lim n→∞ an+1 an n n² + 1…

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Q: graph the function f(x)= T 2 ax 2 X-4 if a 40

A: Given :-   f(x) = ax²/(x²-4)                   a &lt; 0 Now plotting the graph

Q: Find the centroid of the region bounded by the graphs of the functions y = 2x² x² +1 Y = The…

A: y=2x2, y=x2+1

Q: (c) dx So ² (x² + 1)²

A: we have given integration ∫ 011x2+12dx

Q: Find st not the X values (if any) Where snon ultues отх 9-х F(x) ) x + 5 X²³-25 f 04 X at which f(x)

A: