C. f(x)=2x² - 6x +3+cos (x²-1) at C = 1.

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A: Consider the function fx=5-3x2 , -5≤x≤1.

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A:

Q: 3. A movie theater charges $9.00 for adults and $6.00 for senior citizens. On a day when 331 people…

A: Let x be the number of adults and y be number of seniors

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Q: Consider the function f(x) = arctan(6x). Show that the graph y = f(x) and its tangent line y = g(x)…

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A: Integral use trigonometry substitution

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Q: Let u = (-6, 2) and = (3,-2). Compute the following: u.v= v. u= ||||²= 7 (u-v) = = (7u). v = ú. (7v)…

A: NOTE: Refresh your page if you can't see any equations. . here we have

Q: Find the side labeled x. (Round your answer to one decimal place.) X = 48° 8 12 X

A: according to cosine law→⇒ c2=a2+b2-2abcos(C)

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Q: π Find the arclength of the curve x = 7 cos(2t), y = 7 sin(2t) with 0 ≤ t ≤ 12 Submit Question

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Q: Consider the function f(x) = 3-6x² on the interval [-5, 5]. (A) Find the average or mean slope of…

A: fx=3-6x2

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Q: Find div F and curl F if F(x, y, z) = 14yºz5i – 7x³z¹ºj – 5xy¹k. div F= curl F=

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Q: 2. Solve the system of equations. If the system has no solution, say that it is inconsistent. 16x -…

A: for solving given problem:

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A:

Q: A rectangle is constructed with its base on the x-axis and two of its vertices on the parabola y =…

A: A rectangle is constructed with its base on the x-axis and two vertices on the  parabola y=196-x2.…

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Q: exist that fit the following criteria? C=75°, c=4, a=7

A: C=75°, c=4, a=7

Q: The function f(x)=1200x-100x represents the rate of flow of money in dollars per year. Assume a…

A: f(x) = 1200x -100x2 r = 4%

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Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: If you have 240 meters of fencing and want to enclose a rectangular area up against a long, straight…

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Q: Consider the function f(x) = 2x³ - 6x² interval [-4, 9]. Find the average or mean slope of the…

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Q: 1 = [0) R : R-xd= xp

A: given,  dydx=ex-y  and  y(0)=1

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Q: The series Σk-o_gk 100 (-1) k is convergent. How many terms do we need to add in order 11 to find…

A: We have to find the number of terms required to get sum correct to 3 decimal places.

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

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Q: Use Green's Theorem to evaluate F. dr. (Check the orientation of the curve before applying the…

A: Given F( x , y ) = ( y - cosy , xsiny )  Green's Theorem  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy…

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Q: Solve the following linear system of equations using Gauss elimination with partial piv- oting…

A: 8x2+2x3=-73x1+5x2+2x3=86x1+2x2+8x3=26

Q: dt +5i = 7 o=(0)h(

A: The given differential equation is: didt+5i=7 ;              y(0)=0

Q: Evaluate the triple iterated integral. /4 π/4 cos e [*¹* [*¹²ª [ * * p². 10 p² sin cos o dp de dé

A: The given integral is: ∫0π4∫0π4∫0cos θ ρ2sin φ cos φ dρ dθ dφ

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A: Given that ∫ 3t-13 dt

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Q: Determine the intersection of the line defined by [x,y,z]=[2,-5,3] + t[3,0,5], t and the plane…

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Q: 4. Let D be the region bounded by the line x = 0, outside the semicircle x = -√ y and inside the x =…

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Q: Match each graph with its equation > D O ha Q Q a. r = 5 + 4 cos(0) b. T = 4 + 4 cos(0) C. T = 4…

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Q: Please explain the rules applied in each step of the solution

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Q: Find the area of the region bounded by: r = 5 cos(20) 0 ≤ 0 ≤ 2π

A: Given;

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Q: The parametric equations and parameter intervals for the motion of a particle in the xy-plane are…

A: Parametric equation x=cos2ty=sin2t0≤t≤π

Q: 11. Find the gradient of the tangent to the graph: y = 3x²-7x-5 at (2, -7)

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Q: PROBLEM NUMBER 5 Evaluate +2. 1 82³ dz.

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Q: -Evaluate fx(x-5)¹²dx. A. 0.456 B. 0.556 C. 0.656 D. 0.756

A: