Use a change of variables to find the area of the region R enclosed by the lines x + y = 4, x + y = -7, y = 7x, and y = 7x + 7.

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Q: 5. Given F"(x) = -4 sin (2x) and F'(0) = -4 and f(0) = 2 Find f(1/2)

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A: given function is f(x)=6+cx  for x<19+2lnx   for x≥1 given f is continuous at x=1

Q: 7) Let u = (2, -4, 1) and = (-4, 3, 5). Find 0, the angle between u and 7.

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A: We use the conversion from rectangular to polar coordinates to solve the given problem.

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Q: A-Find the area of the region enclosed by the f curve y=4x³ and the 3 line y = x³.

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Q: Determine the value of k so that ū = [-5, k, 3] and = [1,2,- 7] are orthogonal.

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Q: Consider the helix r(t) = (cos(−2t), sin(−2t), 1t). Compute, at t = A. The unit tangent vector T = (…

A: Note : As per our Guidelines , we can solve first three subparts as your all parts are not small .…

Q: 5. Find the minimum distance from the magnet and the wire depicted below using a projection and the…

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Q: 1. AY y=0 zx9-X=( 16 x+

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Q: Given that 7 ≤ f(x) ≤ 8 for 4 ≤ x ≤ 8, estimate the value of 8 O≤ff < f(x) dx ≤ 8 f(x) dx

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Q: in (m) find the distance traveled. during interval 2 V (t) = + ² + 2 +-15 the given time 0<+≤5 m/s

A: Vt=t2+2t-15 m/s ,0≤t≤5 Graph

Q: 23. Find the angle between the vectors u = [-9,1, 3] and = [0,2,-5].

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Q: Create a problem where you have to find the inflection point that is equal to 1. Please show work.

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Q: Calculate r' (t) and T(t), where r' (t) = 6 T(t) = ( 2 -4 r(t) = (7 + 6t, 5 — 4t, 2t - 5). " 2

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Q: 3. DETAILS PREVIOUS ANSWERS 625T 2 SCALCET9 6.3.016. Use the method of cylindrical shells to find…

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Q: 12. Some lifeguards want to construct a rectangular safe swimming area along a beach with a string…

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Q: 6 Suppose s f(x) dx = 18 and f f(x) dx = 14 2 O 2 Find S ²fQ) dx

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Q: Test the series below for convergence. Σ(-1)*41, 6+n² 3+2n² A. The series is Select an answer B.…

A: ∑n=2∞-1n+16+n23+2n2

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Q: Question #13 Let_ƒ(x,y)=3x²y³ +2x−3y² +5. Find the following...

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Q: Use linear approximation, i.e. the tange as follows: Let F(x)=√x. Find the F(x) at x = 64 еди L(x)=…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=64 which means that…

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Q: 2- Sketch the graph of the following ellipsoids in space 1 x² + y² + 4z² = 4 4x² +9y² + z² = 36

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Q: 207. Enclosed by the inner loop of r = 3 + 6 cos 0

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Q: Question #15 Derivative to find f'(x) Let f(x) = −3x² + 5x+1. Use the Limit Definition of the

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Q: Find the area of the shaded region. -6 x = y² - 5 -4 -2 y 3 2 -2 -3 y = 1 (= e ²₁ X= 2 y = -1 4 X

A: The graph of the curves is To determine: The area of the shaded region.