For each of the following integrals find an appropriate trigonometric substitution of the form x = f(t) to simplify the integral. a. 2 | (4x2 - 4) 3/2 dr - x=

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A: Given

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A: Given ,  Circle P has radius 8 . Points Q and R lie on circle P and the length of QR is 4π . We have…

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A: Given  D(x) = 2375x2+5134x+5020 For D(x) = 50000, x=? 50000 = 2375x2+5134x+5020 2375x2+5134x-44980 =…

Q: Use implicit differentiation to find dy/dx and d?y/dx?. x? + y? = 9 dy O A. x a?y y' dx2 x² + y? y3…

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Q: Sketch the space curve. Vector-Valued Function r(t) = (4 sin t, 5t, 4 cos t) O <-15 -10 Interval [0,…

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Q: 2y + 6x = 3 y+3x = 2 How many solutions (x, y) are there to the system of equations above?

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A: given AB=x cost of laying cable under dry ground =$ 100 per meter cost of laying cable under river…

Q: Find T, N and B for the curve r(t) = (4 cos(5t), 4 sin(5t), 2t) at the point t = 0 Give your answers…

A: To find T→, N→, and B→ for the curve r→t=4 cos5t, 4 sin5t, 2t at the point t=0.

Q: Use the inner product (f,g) = f(x)g(x) dx in the vector space Cº [0, 1] of continuous functions on…

A: The inner productGiven  onto the subspace .Now....(1)again.....(2)

Q: 3. What domain D in space maximizes the value of the integral (1 – 22 – y? – 2) dV Explain your…

A: As the integrand is spherically symmetric, we will transform the integral in spherical co-ordinates.

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A: Given: 0.5  inch→18  miles2.5  inches→?

Q: Which is the length of MPNV expressed in terms of ? M. 5 44 A O A. 257 B. 316 C. 79 O D. 79 45

A: In the given circle  Small angle MAN = 44° Radius = 5 units

Q: If a - b = 5 and a2 + b2 = 45, then the value of ab is: %3D

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Q: Find the arc length (portion of the circumference) of the

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Q: Plot 5x² +20x-1 showing all the transformations. Check out the vertex with the graph.

A: The given function .The aim is to sketch the graph of the function using the transformation.

Q: I. Proving Triangles Congruent: 1. Use AAS to prove the triangles congruent. Given: AD|| BC, AD a CB…

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Q: Calculate the integral of C being the curve given below. y= 3+x y= 3-x 6x dS C

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Q: 3). A slingshot is used to propel a stone upward to that its height h in feet after t seconds is…

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Q: Consider the following linear programming model: maximize z = 2x1 + x2 + 3x3 +7 subject to -2x12x2 -…

A: (a) The given model can be expressed in canonical form as follows:   maximize z = 2x_{1} + x_{2} +…

Q: Which expression is equivalent to 2(d + 4)? 8d 8d + 2 2d + 8 6d Submit

A: Given expression  is 2(d+4) To get equivalent expression multiply 2 with (d+4)

Q: Question 10. A point moves anticlockwise around the circle x² + y² = 1 at a uniform speed of 2 m/s.…

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Q: 2 ds ,2

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Q: Book Problem 21 Use Simpson's Rule with n = 4 to estimate the arc length of the curve y = 1.5e-2, 0≤…

A: The curve

Q: 3. SQ = x ; ST = 22 ; SP = 12 ; PR = 4x+8 x =

A: AS PER OUR GUIDELINES WE ARE SUPPOSED TO ANSWER ONLY ONE QUESTION

Q: (b) Gaussian process: i. X ~ f(x) is a continuous stochastic variable with E[X] = 4, ox = 2. Use the…

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A: Cloud Cover The table shows frequency of cloud cover in Minneapolis We have to find what percentage…