1) f sin ¹x dx

Q: Given the vector →u=⟨6,5⟩, find the magnitude and angle in which the vector points (measured…

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Q: The equation below gives parametric equations and parameter intervals for the motion of a particle…

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Q: Find the indefinite integral. (Use C for the constant of integration.) 8x [(ellx + e- x) dx

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Q: Use cylindrical coordinates to find the volume of the solid. solid inside the sphere x² + y² + z² =…

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Q: Compute the following integral [x x5√x³ + 1dx

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Q: Use the Shell Method to compute the volume obtained by rotating the region enclosed by the graphs as…

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Q: Find an equation for the conic that satisfies the given conditions. hyperbola, vertices (−1, −5),…

A: If the general equation of the hyperbola is: -(x-h)2a2+(y-k)2b2=1 Then, vertices are at (h, b+k),…

Q: (x-8)" 6" Consider the series Σ n=0 (a) Find the series' radius and interval of convergence. (b) For…

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Q: Use a Maclaurin series in this table to obtain the Maclaurin series for the given function (x) = 9x…

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Q: Rewrite the Cartesian equation y = 4x² as a polar equation. T(0) = Lots for Aif needed.

A: Polar and cartesian coordinate system are related each other as follow x = rcosθy = rsinθ

Q: Find the area of the region that lies inside the first curve and outside the second. r=…

A: The given curves are: r=7-7 sinθ      and       r=7

Q: Find the volume of the solid generated by revolving the region bounded by the given curve and lines…

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Q: Find a positive number a such that the sum of 4x and is as small as possible. x Does this problem…

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Q: 67cos(x) is incorrect

A: It is not 67cos(x). It is 6zcos(x).

Q: Find the divergence of the vector field F - div F = =

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Q: The cost C'(x), where x is the number of miles driven, of renting a car for a day is $53 plus $0.65…

A: Given: The cost C(x), where x is the number of miles driven, of renting a car for a day is $53 plus…

Q: If an = F(n) and Eidn is Series of positive terms d Convergent ว Based only on the comparison test,…

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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: An auto insurance company classifies its customers in three categories: poor, satisfactory, and…

A: An auto insurance company classifies its customers in three categories:   poor, satisfactory…

Q: Given the following graph of f(x), graph the function of (1/ f(x))

A: Some things to note before we proceed: f(x) and 1f(x)  have same sign, i.e. when one is positive,…

Q: Consider the function f(x) = arctan(5x). Show that the graph y = f(x) and its tangent line y = g(x)…

A: Given function, f(x) = tan-1(5x) (1) The line tangent to y = f(x), y = tan-1(0) = 0 The point at x =…

Q: Find the indefinite integral. (Use C for the constant of integration.) [19+ (9 + x + 6ex) dx

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Q: Use Green's Theorem to evaluate the line integral along the given positively oriented curve. [8 8y³…

A: Green's theorem is given as  ∫( F1dx + F2dy ) = ∬( ∂F2∂x - ∂F1∂y )dxdy

Q: Lake Cachuma is stocked with 2000 rainbow trout, and after 1 year the population has grown to 4500.…

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Q: Determine a definite integral that represents the area of the region endosed by r = 5 sin 0. So 4 =…

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Q: 4 -2 -3 -4 1 At the point shown on the function above, which of the following is true? O f'>0 and…

A: To solve the following

Q: D:

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Q: x = -3 sec (t), y = 3 tan (t), 4- 2 <t< 2

A: We know that the formula sec^2(t)-tan^2(t)=1

Q: 5.; Let E be the solid bounded in the first octant by the cylinder y² + z² = 9 and the planes x = 0,…

A: Given: Cylinder:y2 + z2 = 9plane xy:            z =0plane yz:             x =0plane:            y =…

Q: Given the Taylor series et =1+x+ + ++ x³ 2! 3! n! the following at c = 0. Express your result using…

A: The given function is: f(x)=x4e-5x

Q: 2 3 [² x (x² - 1)³² α) dx 0

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Q: (x(t) = 6+t Find a plane through the point (2,7,-5) and orthogonal to the line y(t) = -4+7t…

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Q: To find local extrema (maximums and minumums), the first step is to find critical points. Critical…

A: (i) To find local extrema (maximums and minimums), the first step is to find critical points. To…

Q: Evaluate the integral using integration by parts with the given choices of u and dv. (Use C for the…

A: let,   H=∫xcos(3x)dxgiven,  u=x  and  v=cos(3x)dx

Q: Give your answer in a +bi form

A: Calculate 4+2i and give your answer in a+bi form.

Q: 5. Evaluate [[ (x² + y²)³dzdy where is the region enclosed by the cardioid r = 1 + cos(0)

A: given,  ∬(x2+y2)2dxdy  =∫02π∫01+cosθ(r2)2.rdrdθ=∫02π∫01+cosθr5.drdθ =∫02πr6601+cosθdθ…

Q: Find the arc length of the polar curve described by: T = 10 + 10 cos

A: Equation of polar curve,

Q: 25. [2.x² 2x² + y² = 18 = = 4 xy =

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Q: IM 2008 20 1+n 2 + n 240

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Q: 2 2y³) e³¹-7y²dy. Evaluate (7y - 2y³) (7y -

A: let ,  G=∫(7y-2y3)e(y4-7y2)dy

Q: The function f(x) = −2x³+42x² −270x +9 has one local minimum and one local maximum. This function…

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Q: Authorities conducted an investigation and found that the chemical Trioxin was illegally dumped into…

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Q: Consider the vector field F = (6x + 2y, 2x + 3y) Is this vector field Conservative? Select an answer…

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Q: Find the area between y=(x-6)e* and the x-axis from x = 6 and x = 9. www Start by identifying the…

A: Area under the curve f( x ) from x = a to x = b is given as  A = ∫x = ax = bf( x )dxGiven function y…

Q: Convert the Cartesian coordinate (2,-5) to polar coordinates, 0≤θ0 r= Enter exact value Theta=

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Q: Describe the given region in polar coordinates. ww. -10 AY 10- -10 10

A: The given graph is:

Q: Find the inflection points of thefunction f(x) = e(23 - x²). INTERMEDIATE WORK f'(x) =…

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

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Q: 4. Use Green's theorem to find the circulation √1+x³dx+2xydy с along the triangle C with vertices…

A: According to Green's Theorem                 ∮ P dx + Q dy     =  ∫∫R ∂Q∂x - ∂P∂y dxdywe have to…

Q: Solve the initial value problem. 1 x + 1 y' + y = x=², y(1) = 2

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