: Consider again the space curve c(t) = (1,9 cos t, 9 sin t). Compute the associated unit normal vector N(t). Enter the components of N(t) (in order) into the answer box below, separated with commas.

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A: Note: Since you have posted a question with multiple subparts. We will solve the first three…

Q: Q2: Find the inverse Laplace Transform of each of the following: K d) 5s-3 s²+4 - S $²+9 35+2…

A: (c) Given that

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Q: Q2) Solve two of the following: B) (1 + ecotx)csc²xdx

A: ∫(1+ecotx )csc2x dx Formula used: ∫xn dx = xn+1/(n+1) +c

Q: Problem #4: Consider again the space curve c(t) = (t, 7 cost, 7 sin t). Compute the associated unit…

A: Given a space curve if a vector function  then unit tangent vector and unit normal vector

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Q: dt √√3 3+t²

A: The given integral is 1/(3+t2), limit from √3 to 3.

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A: r=12+sin⁡θ

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Q: SUBMIT BY 12 PM of the tangent line r = 1 + 2 cos Find the slope at the > given 0 = π/3 point

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Q: Find the area of the region bounded by the hyperbola 25x2 - 4y2 = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3 Please see…

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Q: e) Using the coordinates from parts b)- d), graph the function on its mathematical domain. Check…

A: Given:function that defines the decline in population of birds is To find:graph of functionmeaning…

Q: given value of the parameter t. 17. r(t) = (t² − 2t, 1 + 3t, t³ + + 1⁄/1²), t=2

A: Given thatTangent vector:

Q: The graph below is the function f(x) L'n. -4 -3 -2 Find lim 2-2 5- 4 45 Find f(2) 2 1 thy -2 -3 145…

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Q: (1.) -|w4+1W ✓ 6 =dx 2 9 - 4x

A: Since you have asked multiple question is one window and as per guideline only one question is…

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Q: curve r(t) = f(t)i + g(t)j + h(t)k at t = tō is the line that passes through the point l to v (to),…

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Q: 1 N T² - 4x I-4 T² - I - 12 (f) lim

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Q: Prove that if 0 < a < 1 and b = 1-√1-a, then 0 < b < a.

A: To prove If  and  then

Q: d) Prove that if 3 < a < 5 and b = 2 + √a-2, then 3 < b < a.

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A: Given that the region is bounded by the curves

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A: A personal-computer salesperson receives a base salary of $916 per month and a commission of 5.2% of…

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Q: The dosage for a certain type of chemotherapy drug depends on several parameters of the particular…

A: The objective of the question is to find the rate of change of the dosage with respect to the weight…

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Q: If f is [Select] f(x) > [Select] [Select] on (a, b) and f(x) #0 for all x in (a, b), then either for…

A: This is a question on the properties of continuous function.

Q: Find a vector equation for the plane containing the point (0, 0, 1) and the vectors V1 = [] -T8H848)…

A: Vector equation of plane containing a point and two vectors: r= a+t1v1+t2v2 Where r is the position…

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Q: 8. Construct c=a+b by drawing and calculating th should be measured from the +r-axis. 8.0 45' (a)…

A: As per guidelines we support only first question in one request, because both are different from…

Q: A) The volume of the solid with a base bounded by the curve y = 9-² and the x-axis, and with…

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Q: A person starts walking from home and walks: 4 miles East 5 miles Southeast 3 miles South 4 miles…

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Q: Consider the following values. 1. lim p(t) t-t₂ 2. lim p(t) 3. lim p(t) t-t 4. p(t₂) Compute 3.…

A: The graph is given and we have to determine the limit of the function at some points. Limit of the…

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Q: Find the limit: 00 lim( t-0 e⁹t t 1 t11 10 t1211' 11+ t

A: Given:To find:Evaluate the limitTo find limit of a vector

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Q: If it is known that fo f (x) dx ff (x) dx. 41 13 -13 -41 14 and f f (x) dx = 27, find the value of

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Q: 3 13 (3.) [ 1 5 dx 2 x 1 - 16x

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Q: a) Graph the function f(x)=x² + 2x. b) Draw the tangent lines to the graph at the points whose…

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Q: O a. f'(x) = (lnx + 6) [ln] x 5 O b. f'(x) = (tgx + 6) [tg) x 5 O c. f'(x) = (inx + 4) [In] $2x 7 O…

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Q: The acceleration due to gravity, g(h), at a height h, meters above sea level is given by 3.99 10¹4…

A: The Acceleration fue to gravity g( h ) at a height h meters above sea level is given by