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Q: for convergence, you vill K=1 use the limit comparison test comparing it to the p series. 5 Now by…

A: The given series is summation of 1/(6k5+4k11) , k from 1 to infinity.

Q: Evaluate & A 2.1 y²dx + 3xydy

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Q: Sketch the graph of f(0) = -3tan(20) +1. q PENCIL THIN BLACK 4 3 2 1

A: We need to plot the graph of : f(θ)=-3tan(2θ)+1

Q: Find AB given that: 2-4 and B= 0 -2 3 8 170 A = 4-[-33] -3 5 11

A: Given data

Q: 35 T At what point does the terminal side of an angle, with a measure of 6 the unit circle? A B C D…

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Q: 4. Find the derivative and integral for xn n=1_ n Σm=1

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Q: For the curve given by r(t) = (5 sint, -5t, -5 cos t), find the unit tangent vector and the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the direction in which the maximum rate of change occurs for the funct f(x, y) 4x sin(xy) at…

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Q: A cylindral drill with radius 3 cm is used to bore a hole through the center of a sphere with radius…

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Q: Find numbers a and b, or k, so that f is continuous at every point. 3) x2, x 2 A) a = -2, b = -8 B)…

A: We need to find the values of a and b such that the given function is continuous: f(x)=x2,…

Q: Question 2 Let I= S“ S² 7 dydx. siny y 0 X c) Evaluate the integral using any order.

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Q: Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television…

A: Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television…

Q: Starting from the point (−4, −2, −4) reparametrize the curve in terms of arclength. r (t (s)) = i+ r…

A: Arc length.

Q: Q = 3x² + 5y² 1 , where x+y=8. Minimize

A: Qx,y=3x2+5y2 and x+y=8

Q: Find the divergence of the vector field F div F = = 2

A: The vector field is given by F→ = yx6, xy2 To determine: The expression of div F→.

Q: Evaluated along the cum 0≤ t ≤ 2 Consider the vector field F = F(t) = t²i+t³j,

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Q: Question Analyze the following graph of f(x). Select all of the intervals over which the function is…

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Q: . Find the equation of the tangent to the curve y = In(2x+1) at the point where x = 0.

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Q: Consider the vector field F = Evaluate √ F F(t) = t²i+t³j, 0≤t≤3 Fdr along the curve C:

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Q: At an Oregon fiber-manufacturing facility, an analyst estimates that the weekly number of pound…

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Q: a B Find: b C A Note: Triangle may not be drawn to scale. Suppose a = 12 and A = 5 degrees.

A: a=12 , A=5°

Q: Suppose a company's revenue function is given by R(q) = -9³ +350q² and its cost function is given by…

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Q: 4. If f(x,y,z) = 3x²y - xyz + y²z² find each of the following: a. f(x,y,z) b. f, (0,1,2) c. f (x, y,…

A: *Note – when finding the partial derivative w.r.t one variable, other variables consider as…

Q: Find d ſf (x + 4y)dA where D = {(x, y) | x² + y² ≤ 25, x ≥ 0}

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Q: a = 34, b = 69, a = 74°

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Q: 1. Find all the first partial derivatives of each function a. f(x,y)=(2x−y)* b. _ƒ(x,y)=(4x−y²)²″…

A: (1)  (a)  f(x,y)=(2x-y)4

Q: A 5.00-ft-tall man walks at 8.00 ft/s toward a street light that is 17.0 ft above the ground. At…

A: Given data is as follows  A 5 ft tall man walks at 8 ft/s towards the street light that is 17 above…

Q: 11) Find the smallest number n of terms needed to obtain an approximation of the series 5 K4…

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Q: 5. S (x²-5x+4) dx. Find the integral.

A: Given    ∫(x2 -5x +4)dx

Q: Find zdy + yda, where C is the arc of the curve y = e² for 0 ≤ x ≤1

A: To find the given integral , change complete integral in the function of 'x' .

Q: 3.Describe the largest set S on which it is correct to say that f is continuo a. f(x,y) =· x² + xy-5…

A: Given function is f(x,y) = x2+xy-5x2+y2+1 we have to find the largest set S on which f is…

Q: Find the volume of the region under the surface z = 25 and above the triangle in the xy-plane with…

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Q: Evaluate fry³dz ry dx + x³dy, where C is the rectangle with vertices (0,0), (6,0), (6,2), and (0,2)

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Q: Evaluate Soy y ds, C: x = t², y = t, -2≤t≤ 4

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Q: The parametric form of the tangent line to the image of f(t) = (3t², ½, t + 1) at t = 5 is L(t) =

A: We have the parametric form of the tangent line to the image of f(t)

Q: Drum Tight Containers is designing an open- square-based, rectangle box that will have a of 137210³.…

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Q: of the parabola with the given characteristic(s) and vertex at the origin. 49. 9 V0.09 (3,6) 9 50.…

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Q: Given f(x, y) = 6x² + 1x²y¹ + 6y5, find fz(x, y) = fy(x, y) = fax (x, y) = fry(x, y) =

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Q: tered at x = 0 and then give the first 5 nonzero terms of the power serie f(x) = T 9x8 + 1 T (Give…

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Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: Use Green's Theorem to evaluate F-nds, where F = √+4y, 2x + 4y) C is the boundary of the region…

A: We have to evaluate the integral ∫CF→·n→ds, where F→=x+5y,4x+5y. Where C is the boundary of the…

Q: Y Suppose that f(x, y) = 1+x at which {(x, y) | 0 ≤ x ≤ 2, - x ≤ y ≤ √√√x}.

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Q: 2.Find all the first partial derivatives of each function _x² - y² C. f(x,y)= xy d. f(x,y)=e* cos y

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Q: F-dr along the curve C: Consider the vector field F Evaluate F F(t) = t²i+t³j, 0≤ t ≤ 2 PARKING

A: Change the given integral in terms of 't' .

Q: Find the limit lim (z,y) → (0,0) 13x7 + sin y 7x7+y7 along two different paths.

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Q: Find a parametric representation for the surface. The part of the plane z = x + 2 that lies inside…

A: To solve the following

Q: Evaluate the following expressions. Your answer must be a ㅠ ㅠ angle in radians and in the interval…

A: Evaluate the following expressions . angle must be in radian and in the interval -π2, π2 a)…

Q: Express the vector as a product of its length and direction. 21+4j+4k O A. 6 OB. 6 18 + gi+? OC.…

A: The given vector is  2i + 4j + 4k we have to express vector as a product of its length and…

Q: Replace the Cartesian equation xy = 7 with an equivalent polar equation. The equivalent polar…

A: Given equation is: xy=7  We know that ,to convert Cartesian equation into polar equation. Put…

Q: An asteroid of mass 1.6×105 kg, traveling at a speed of 30 km/s relative to the Earth, hits the…

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