Convert the following equation to Cartesian coordinates. Describe the resulting curve. 9 3 cos 0+2 sin 0

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A: Note:- according to the company policy we can attempt only one question so please upload the next…

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Q: Use the formula k(t) k(t) = "(t) || ||r' (t)||³ r(t) = 11 cos(3t)i + 11 sin(3t)j + 2tk ||r' (t) = to…

A: The given formula is; κt=r't×r''tr't3 And rt=11cos3ti+11sin3tj+2tk   As we know the Chain rule:…

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A: Topic:- application of integration

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Q: ******* +70+ -10 -8 -6 -4 -2 ✔ +10+ y H 6 8 10 Q Write the standard equation for the hyperbola…

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Q: Use the graph to determine the intervals on r concave downward. 10 4 1.5 X 10 а.

A: Here we have concave upward and concave downward.

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Q: C: boundary of the region lying between the graphs of y = 0, y = √x, and x = 9

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Q: Find the value of (2) for a solution (x) to the initial value problem: y" + 4y + 4y = 2x + 6; y(0) =…

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A: Given :  g(x)=2x+10x≤-3x2-5x>-3   for the function to be continuous

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A: Given the query is to find the equation of the the function after transformation.

Q: Solve: x"(t) + 2x'(t) + x(t) = 3t e-t x(0) = 4, x'(0) = 2 Evaluate: F(2) = Evaluate: f(1) =…

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Q: Determine the smallest degree of the Maclaurin polynomial required for the error in the…

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Q: (Question #1, 2, 3, 4, f(x)=x²e* f(x)=et' inx f(x) = ln(4x³ + x) f(x)=In√√5x-7 1. 2. 3. 4. ror the…

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Q: Calculate the indicated Riemann sum Sn​, for the function ​f(x)=x2−9x−4. Partition [1,7] into six…

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Q: Find r(t) if r'(t) = 6t³¡ + 7tºj + √tk and r(1) = i + j.

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Q: -9-8-7-6-54-3-2-1 8 7 > Next Question 1 65 6 4 3 2 + -2 -3 -5- 5 7 -6 7 -8- 9 y be 1 2 3 4 5 6 7 8 9…

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Q: Find the following values. Round answers to 3 decimal places as needed. csc(-13°)~ sec(5)≈ tan( -8)…

A: Basic trigonometric transformations are required

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Q: Calculus Question

A: Given data:- From the above figure we can observe that, C'D'=4 unitsA'B'≈1.3 unitsCD=12 unitsAB=5…

Q: Find curl curl (5z i + 6x j + 8y k) i 5 i i 6 (5z i + 6x j + 8y k). 8 = ( )i + ( )j + ( )k

A: Given that a vector 5z i^ + 6x j^ +8y k^ We have to find a curl of this given vector. Curl of a…

Q: Find curl (82 i + 9x j + 6y k). curl (82 i + 9x j + 6y k) = = ( )k )i + (i )j + (

A: To Find : curl(8z i + 9x j +6y k)

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Q: Question 1 Evaluate the following limits: lim x-3 (x³+4x-13) lim x →-6 lim x²-36 x+6 2x² + 3x³ - 2x²…

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Q: Evaluate the line integral curve C′ : x = 4 cost, y = 8 sint (0 ≤t≤7) NOTE: Enter the exact answer.…

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Q: A trader buy's 80 mangoes. she finds that 8 are bad and a further 22 are unripe ,show on a pie chart…

A: Given data:- Total number of mangoes = 80 Bad mangoes = 8 Unripe mangoes = 22

Q: 768 on the interval [-20, -10]. Find the H plute extrema for the function on the given interval.…

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Q: Let y = tan (2x + 6). Find the differential dy when x = 4 and dx = 0.2 Find the differential dy when…

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