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Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A: This question can be solved using the concept of unit tangent vector and length of vector curve.

Q: (D - 2D + 4)y = 0 ; y= - 2, Dy = 8, D²y = 0, when x = 0.

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Q: Find the Taylor polynomial of order 3 generated by f at a. f(x) =x, a = 3 %D O A. P3(x) = 1 + 6(x-…

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Q: 1 2" 3" 1 Find the sum of the convergent series. n-4

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Q: Triangle BAC is a 30°°-60°°-90°° right triangle. 600 30° A C If BC = 15, what is the measure of AC?…

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Q: Find the area A of the sector shown in each figure. (a) 72° 4 A = (b) 0.5 rad 16 A=

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Q: You have been asked to design a rectangular box with a square base and an open top. The volume of…

A: Concept:  rectangular box volume : The volume of a cuboid is the amount of space it takes up in…

Q: Select the correct answer. The graph of the function fx) = x3 defined over the interval [0, 1] on…

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Q: Solve the equation on the interval 0s0<2r. cot 0+ 3 =0

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Q: Suppose z is a function of x and y, and tan Vy? +x² = ze6y. Solve for and dx ду

A: Here, given that z is a function of x and y and tan y2+x2=zxe6y⇒tan y2+x2=ex ln ze6y...(1)

Q: 1 (s +1)(s² + 1) - cos t + sint) + cost – sin t) Option 1 Option 4

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Q: 2 cosx+3 cosx=2, 0Sx<27

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Q: Use a calculator to find the approximate value of the expression. Round the answer to two decimal…

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Q: Triangle BAC is a 30°°-60°°-90°° right triangle. В 600 300 A C If BC = 15, what is the measure of…

A:

Q: dw I. Find dw and and ду aw (whenever possible) for the following functions. - - dz 1) w = 5x*y –…

A: Let's find.

Q: Find the average value of the function f(x): 14 over the %3D interval [1, e]. NOTE: Enter the exact…

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Q: A) What unique characteristic does the graph of y = e have? B) Why does this characteristic make e a…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y,z) = - 3 ex cos (yz),…

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Q: (a) Solve the equation on the given interval, expressing the solution for x in terms of inverse…

A: Let's find.

Q: 3s 14 82-4s +8 - 3e cos 2t + 4e2" sin2t 3et cos 2t –4e2" sin2t - Option 1 O Option 2 4e2t cos 2t +…

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Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = x² and…

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Q: Sf(x)dx = 2, f(x)dx = -5, and ſ g(x)dx = 1 . Evaluate the following 7. Suppose integrals. SF(x) +…

A: Here we have to find the given integral. I have appended the formula used in the solution part of…

Q: DEFINITION

A: We will find the Laplaces Transform.

Q: Use any method to solve the following system of equations. 2x2 +y? = 5 x2 - 2y? + 15 =0 Select the…

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Q: Find the Laplace Transform of the functions PLS ANSWER ASAP

A: We need to find laplace transform.

Q: Evaluate the integral using Part 1 of the Fundamental Theorem of Calculus. You must show your work.…

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Q: The interval of convergence of the series 41+2n (x+3)" is - -- 5n+1 16 16 Select one: O True O False

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Q: Find p1 and p2, the prices per unit (in dollars), so as to maximize the total revenue R = X1P1 +…

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Q: 125 when p n= 410, p=0.25, and q 1-p. Evaluate the formula z= pq (Round to two decimal places as…

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Q: Jk, when = & Case y: 2 Sing

A: Solution 1:

Q: Find the Taylor series generated by f at x = a. 1 a = 4 f(x)= x

A: We are asked to find taylors series of the function

Q: Find the net signed area between the graph of the function f(x) = |x +3| – 4 and the r-axis over the…

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Q: 3. Find where the curves intersect, draw a sketch of the region, and compute the volume when the…

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Q: In each part, evaluate the integral, given that {Ix- 61, x 2 0 x + 6, x < 0 f(x) %3D (a) f(x) dx = i…

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Q: 3. Find the curvature K of the space curve r(t) = (cos³ t)i + (sin³ t)j. (Note: Since you aren't…

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Q: 1 y = 6 2.x +

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Q: Let f: R2 → R. At some point, a , we have that f(a) = 5 and that Vf(a) : What is the equation of the…

A: answer is in next step

Q: Find the curve's unit tangent vector. Also, find the length of the indicated portion of the curve.…

A:

Q: x=t² +3t +5 Determine the arc – length of the curve: y = (2t- +2

A: solution:-given curve x=t2+3t+5y=232t+43/2+2dxdt=2t+3dydt=22t+4

Q: 3. S: 7 dy у2-8y+5

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Q: Find the area of a parallelogram formed by the vectors PQ and PR, where P = (- 3, 4, 3), Q = (6, 6,…

A: .

Q: A supermarket sells two brands of granola: brand A at $p per pound and brand B at $q per pound. The…

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Q: The following question is about the rational function (x + 1)(x – 2) (x + 2)(x - 9) r(x) The…

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Q: 2. For the parametric equation shown below, determine the value of (dy/dx) and (d²y/dx²). x = 3t? –…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Determine the sum of this convergent series.

A: This question can be solved using the concept of infinite geometric progression.

Q: n!(n+1): (2n+1)! n=0

A:

Q: the

A: We will find the distance.

Q: A supermarket sells two brands of coffee: brand A at $p per pound and brandB at $q per pound. The…

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