1. Find the equation of the tangent line (s) to the following set of parametric equations at the given point. x = 7sint and y = t² + 1 at (0,3)

Q: b.x = evt and y = t – Int? at t = 1

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: Find the profit function for the given marginal profit and initial condition. Marginal Profit…

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Q: WHAT IS THE FOURIER EXPANSION OF THE PERIODIC FUNCTION WHOSE DEFINITION IN ONE PERIOD IS : F(t) = 0…

A: Solving

Q: Evaluate the line integral along the path C given by x = 2t, y = 4t, where 0 sts 1. + dy

A: Line integral

Q: e consider the non-homogeneous problem y" +4y =-32(3x + 2) First we consider the homogeneous problem…

A: We need to solve IVP.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

A: Evaluate the indefinite integral

Q: The acceleration after t seconds of a hawk flying along a straight path is a(t) = 0.3 + 0.16t ft/s2.…

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Q: Among all the points on the graph of z=7-x-y that lie above the plane x+3y+8z=D0, find the point…

A: Hee, the given surface is z=7-x2-y2 and the plane x+3y+8z=0 which passes through the origin. So, the…

Q: Graph the feasible region. x + y 2 3 -x + y 2 1

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Q: ||r(t) × r"(t)|| ||r(t)||* Use the formula k(t) to find k(t). r(t) = 4 cos(7t)i+4 sin(7t)j+ 3tk K(t)…

A: By using the formula kt=r't×r''tr't3 to find kt.rt=4 cos7t i+4 sin7t j+3t k

Q: 3. Calculate the line integral S F - d7, where F = (x²y³, x³y?) and C is the path given by C 7(t) =…

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Q: ||r(t) × r"(t)|| Use the formula k(t) to find «(t). r(t) = e*i+etj K(t) =

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Q: Estimate cos E- 0.1) + cos

A: Follow the procedure given below.

Q: Find Inz3 dz

A: LetI=∫lnz3zdzLet z3=udifferentiate 3z2dz=duDivide 3z2 on both sidedz=du3z2dz=du3z2Divide z oboth…

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: To find the area of the region enclosed between the two curves.

Q: Question The piecewise function f (x) is graphed below. Use geometric formulas to evaluate the…

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Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

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Q: nd the linearization of f(x)= {Vx at c = 64. Use the linearization to approximate 64.05.

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Q: Find the position function s(t) given acceleration a(t) = 2t if v(2) = 0 and s(2)=1.

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Q: m²-m Find S (m1) dm

A: Given; I=∫m3-m-1mdm   As we know that; The Sum rule; ∫fx±gxdx=∫fxdx±∫gxdx The Power rule;…

Q: Jen would like to use the first week in May to visit one city, and the first week in June to visit…

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Q: Find the absolute maximum and absolute minimum values of f on the given interval. F(x) = xe¬x²/128,…

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Q: 3"x" Σ ,x € R, is: n! A primitive for the function f(x) = n=0 Choose an option: 3n+1n+1 (n+ 1)! n=0…

A: Solved below

Q: What is the difference between contanity? Unforly contanity ?

A: This question is from real analysis & our topic is uniform continuity .

Q: Find the arc length of the graph of r(t) = ev2ti+ e¯v2tj+ 2tk, 0<t< v2 In 5 NOTE: Enter the exact…

A: Let's find.

Q: 5. Use the Laws of Logarithms to expand the expression. x + 2 3 (a) log (b) In y (c) log. x(x² + 4)

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Q: Calculate the derivative (implicit derivative): y + 19xy = Cos(7x – 5y) %3D |

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Q: d Calculate ri(t) · r2(t)] and ri(t) × r2(t)] first by differentiating dt dt the product directly…

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Q: In a recent survey, 52 said they had a dog, 64 said they had a cat and 25 both pets. How many…

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Q: Let f be a function defined for t 2 0. Then the integral L{f(t)} = e-stf(t) dt is said to be the…

A: Given problem:-

Q: S csc2xdx cosx O sinx+C O -cotx+C O -cotx

A: By using standard formula.

Q: 4- Find lim,: ( -) 10 20 (You cannot use numerical table method). tan(2)-1 tan?(2)–1)

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Q: the integral dx Va? – x? e may use x- educe the integral to a sine and dx= a cose de substitutions…

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Q: The series (-1)"+1 is: n³/2 n=1

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Q: 2- Calculate y": y = 5x2 Sin (3z) - 2x Cos (5x)

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Q: DEFINITION 7.1.1 Laplace Transform Let f be a function defined for tN 0. Then the integral L{f{t)}…

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) a + bxº dx 10ax + bx10

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Q: 2t2 + 3, y = 6t – 1 at the point whose 3. Find the equation of the normal to the curve defined by x…

A: Explanation of the answer is as follows

Q: Write an equation for the function graphed below. Use the smallest powers possible to meet the…

A: To find the equation of given graph.

Q: Consider the function f(x) = -4xi + V24 -x on the interval [7, 27]. Find the absolute extrema for…

A: We want to find absolute maximum and minimum.

Q: Find the limit. lim (t i - 7 j+1² k) t-5 lim (t i - 7j+ k) i+ i j+ i

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Q: The acceleration function (in m/s²) and the initial velocity v(0) are given for a particle moving…

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Q: f(x)=x-4/x^2+2x+17 What monomial expression best estimates the behavior of x-4 as x→± ∞ ?…

A: Given problem:- f(x)=(x-4) /(x2 +2x+17)    What monomial expression best estimates the behavior of…

Q: A. Identify if the given limit is NORMAL, OSL-RIGHT, OSL-LEFT or DNE. x-2 1. lim x--4 x2-2x x+4 2.…

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Q: A bacteria culture is growing at a rate of r(t) = 8e0.6t thousand bacteria per hour after t hours.…

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Q: Given 1 2 3 0 14 X y 5 6 0 W Find the value of "w". NOTE: Just give the answer for w. Answer:

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Q: 1. メーメー2 xペー5x+6

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Q: nswer.

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Q: Q1/0fin t the Tulorssevies at- for F(): Sinメ Iat ○ F(対 ak y=1 f(x) =

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Q: Solve the following problems. 1. A thermometer reading 18°F is brought into a room where the…

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