Find the distance between the pair of points (5.5,7.2) and (-0.5,4.2). If necessary, express the answer in simplified radical form and then round to two decimal places. The distance between the given points is units. (Simplify your answer. Type an exact answer, using radicals as needed.) The distance between the given points is approximately units. (Type an integer or decimal rounded to two decimal places as needed.)

Q: H.W: Evaluate the integral 30 [ (x²y - 2xy)dydx 0-2 1. 3. 5. 3 1 [ [(2x - 4y)dydx 2π π [[(sinx +…

A: 5.The given integral,        ∫π2π∫0πsinx+cosydx dy

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A: To evaluate the integral.

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A: You must have idea how to find distance under v-t curve.

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A: We have to calculate the least squares line.

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A: To evaluate the given limit .

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Q: 2. Approximate √64.1 by using linearization and use a calculator to compute the percentage error.

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Q: No calculators. Find the exact length of the curve. y=2+2x³/2, 0≤x≤1

A: In this question we have to find the length of the curve.

Q: 10. √x(x² + 3x-8)dx A. -4 B. -404 105 D. -28 105

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A: Given :  3 credit college course for 15 weeks. Which requires 10 hours per week

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A: The given data is: A pizza company is building a rectangular solid box to be able to deliver…

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A: Simplify given equation in z then  two times partially differentiate z

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Q: b). Find the equation of the plane that passes by P(1, -2,3), Q(1,0,1), and the Origin O(0, 0, 0)

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Q: 12. For an object whose velocity in ft/sec is given by v(t) = cos(t), what is its distance, in feet,…

A: Topic = Integration

Q: Q3 Let A(1,0,-1), B(-1,2, 1), and C(1,2,-2) are the three points in a 3D coordinates system. a)…

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Q: Consider the region B under the graph of y= * E[5,7], and above the x-axis. 2² +7 x+5 } Estimate the…

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Q: find f f'' (x) = 2 + cos (x) , f (0) = 7 , f (pi/2) = 2.   f (x) =

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

Q: Example Two tanks T₁ and T₂ each contain 100 gal of water each. In T₁ the water is pure, whereas 150…

A: AS WE KNOW THE GENERAL FORMULA IS dy1dt=inflowminconcentration of…

Q: 2-x Evaluate: 44-3 dx A. In 4x² + 4x-31+ In 2+ 8. In 4x² + 4x-31+In+C c. In 4x² + 4x-31+In++C D. In…

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Q: What is the radius of the circle defined by x + y - 6x + 4y - 1 = 0

A: Given : x2+y2-6x+4y-1=0 To find radius of circle

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Q: Describe the given region in polar coordinates. The lower portion of the region is (Type an exact…

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Q: Solve differential equation dx -(2ln5y+x-¹) 2xy-1

A: Solution is given below:

Q: Let r(t) = (et, t2 + 1, h(t)). If |r' (0)| = √2, which of the following is a possible h(t)? O sin(t)…

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Q: In (x² + y²) 2 2 VX x+y Integrate f(x,y)== over the region 1 ≤ x² + y² ≤e5.

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. 8. f(x) = 2³3r² -…

A: In this question we have to find the absolute maximum and absolute minimum.

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Q: Determine whether S is a basis for P3. S= (3-t, t3, 9t2, 8t + t, -1 + 3t) OS is a basis of P3. OS is…

A: Please see the below picture for detailed solution.

Q: Find the limit, if it exists. If the limit does not exist, explain why. limx→∞ x / √x^2+x+1

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Q: Evaluate: fx 3* dx if a is equal to the first digit and bis equal to the second digit of the sum of…

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Q: Use the estimate to approximate f(99). (Use decimal notation. Give your answer to four decimal…

A: Given :fx=1x

Q: (The vectors A=i-j,B=j-k, and C = 3i-k, find triple dot (AXC). B

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: As per the trigonometric substitution x = 4 sin 0, the following triangle is obtained. sin 0 = X x²…

A: In this question we are going to fill these blank up.

Q: Using the Factor Theorem, which of the following is a factor of the polynomial function f(x) = 5x² +…

A: Given polynomial function is f(x)=5x3+5x2-60x

Q: Question 1 a) Find the value(s) of y such that the vectors U₁ = and u₂ = are parallel. b) Find the…

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Q: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

A: Assume that x1, x2 and x3 are the zeros of the polynomial p (x) = x3 + ax2 + bx + c. Determine the…

Q: Write a recursive formula for the arithmetic sequence an given below. an= and a1= 10,19,28,37,46,…

A: To write a recursive formula for the arithmetic sequence given below.an=? and a1=?10, 19, 28, 37,…

Q: 2. Find the equation of the line tangent to the circle x + y + 6x - 2y - 15 = 0 at the point (1,-2).

A: x2 + y2 + 6x -2y -15 = 0  given we have to find equation of tangent line to circle  for that first…

Q: If y=mx+b is the equation of the tangent line the curvey=x²-3x+5, which is parallel to the secant…

A: Let's find slope and y intercept.

Q: A cable is to be run from a power plant on one side of a river 900 meters wide to a factory on the…

A: pythagoras theorem = H2= B2 + S2 WHERE H= HYPOTENUSE B=BASE S =SIDE

Q: Given f″ (x) = 4x−5 and f′(−1) = −6 and f (−1) = 5. Find f′(x)=  and find f(4)=

A: We have to find f′(x) and f(4).