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Q: Given that Vf(15, -6) = 4i – j, find the directional derivative of the function f at the point (15,…

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Q: Express the following sums using sigma notation. a. 4 + 5+6+7+8 b. 6+ 12 + 18+24 +30 +36 c. 12 +22 +…

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Q: / (22* + 3,/5 +) Calculate the indefinite integral: dz

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Q: 6. For each function determine: i) the critical values ii) the intervals of increasing or decreasing…

A: 6 A)

Q: -3, Plot the point whose polar coordinates are (-). In the graph below, use the options to change…

A: Here, the given polar coordinates is: r,θ=-3,-π6

Q: Determine the equation of the tangent plane to the surface z = cos(x + 2y) at the point (2,-1,0).

A: Tangent plane to f(x, y) at (x0, y0) is given by below:

Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DNE.) 1 lim X→-8+ X + 8

A: Given query is to find the limit of the expression.

Q: Onelogin - Section 104 Homework…

A: Given curve, r=2+3cosθ

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A: We have to find out solution

Q: 5. Determine the horizontal asymptote. x³ +2x² -6 а. У- x? x* +3x° +x² –7 b. y: x* - 3x³ +8

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

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Q: | 13t – 41° + 4 dt = +C.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: (2х - 9)4 dx

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Q: Evaluate the following expressions. 12 6. a. Σk b. Σ ( 3k+ 2 ) d Σ (2+) с. k= 1 k = 1 n = 1 8 4 5m…

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Q: This matrix is a 0 0 4 0 [ 4 0 0 zero matrix square matrix diagional matrix unit matrix O

A: Given problem:-

Q: 1 in LA 3 in 2 in 12 in R 3 in B R2 in Use the Pappus-Guldinus Theorem to estimate the volume of…

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Q: %24 #3 %3D (Copy) Questic Find all vectors u that satisfy the equation (1,1,1) xu = (-2,- 1,3).…

A: The solution is given below

Q: Consider the following. 2 f(x) = -x2 + 4 Find the x-values at which f is not continuous. Which of…

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Q: The surface area of a closed box is 200 square feet. If the width and height have the same…

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Q: Use the Ratio Test to determine whether the series is convergent or divergent. Š (-7)" n2 00 n = 1…

A: ∑n=1∞-7nn2 Here an=-7nn2 and  an+1=-7n+1(n+1)2 limn→∞an+1an=limn→∞-7n+1(n+1)2-7nn2…

Q: Find the area of the shaded region. 24) f(x) =x3 +2x2- 3x, g(x) = 0 -4 -3 -2 -1-1 4 -5 47 A) 12 81…

A: Topic = Area

Q: dr 14. J z(x+1)²

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Q: bFhctc.instructure.com%2Fcalendar%23view_name%3Dmont... Find a cartesian equation for the curve 0 --

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Q: Use a familiar formula from geometry to find the length of the curve described and then confirm…

A: Recall:  L=∫abr(θ)2+r'(θ)2dθ We have, r=7sinθ+2cosθ, a=0, b=π

Q: A spring has a natural length of 0.14m. If a force of 0.05Newton is required to keep the spring…

A: We want to find the work done.

Q: e angle, the quadrant of the terminal side, and the sine and cosine of each angle. If the angle is…

A: we have find the reference angle then sine and cosines of both. here i am giving my handwritten…

Q: Match the graphs with the corresponding formulas. 1. Sn = 2 – 1/n 2. Sn = 2+1/n ? v 3. Sn = 2+…

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Q: dx If the derivative dy (instead of 2) exists at a point and = 0, then the tangent line at that…

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Q: Onelogin - Section 10.4 Homework courses/46921/assignments/1001688?return…

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Q: Find the horizontal intercepts, the vertical intercept, the vertical asymptotes, and the horizontal…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

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Q: y 6- 7 fX) = x² +3 4 2 (2, 1) -4 -2 2 4

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Q: Determine the, 5 a.) E [3xyi - 10] |=1

A: Sum

Q: 9) |x² cos(5x? )dx

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Q: Given the curve y = x´ and the lines y = 0 and y = 2 –x. Find the abscissa of the centroid X of the…

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Q: Evaluate the following integral. 3T s²x dx CoS Rewrite the second of the two integrals found above…

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Q: 1 5. Determine by the limit comparison test if Zn=2 converges or diverges. Vn-1

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Q: Your weekly cost (in dollars) to manufacture x bicycles and y tricycles is C(x, y) = 29,000 + 50x +…

A: To find the marginal cost.

Q: Find the volume generated by revolving the region bounded by y = - cos x and y = 0, from x= - 2x to…

A: Here, the curves y=-cos x & y=0 from x=-2π to 2π revolved about the x-axis.

Q: TC 2 esin(xdx, for n=8 Evaluate: using (a) Trapezoidal method, (b) Simpsons Methoe

A: For (a), Trapezoidal Rule:

Q: wings V tano do %3D 2)

A: Reupload questions one by one according to bartleby guidelines

Q: 17. Find the interval of convergence for E(-1)"-1÷) x'

A: To find the interval of convergence.

Q: 4) Find the sum =1 an for the geometric sequence an = 10 - 3 %3D

A: The geometric sequence, an=10.3n-1

Q: 1 dt 7+t+3t2 y =

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Q: Use the Root Test to determine the convergence or divergence of the given series or state that the…

A: answer is in next step

Q: x² b. x²-4

A: Given: So,             f''(x)=x2x2-4''          =-8xx2-42'          =-8-3x2-4x2-43 Concave Up:…

Q: Find the function F that satisfies the following differential equations and initial conditions.…

A: We will find the function.

Q: plve the equation: u = a u, Uxx 0 0 (x, 0) = f(x), u(0,t) = u(L, t) = 0

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Q: Use symmetry to evaluate the following integral. | (6- |x)) dx - 1

A: The given integral,     ∫-116-xdx

Q: Using appropriate substitution tan3. dx sec5x tan³x is equal to

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