Find the limit. Enter DNE if the limit does not exist. x²y lim (z,y) → (0,0) x² + 7y²

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Q: marginal cost for a company to produce q items is given by MC(g) = 0.005q^2 - 0.7q + 650. The…

A: Given query is to find the cost at production level 14.

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Q: Use the ratio test to determine if the series converges or diverges 2n n! Σ=1

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Q: Evaluate the integral. 3 1₁²₁x² +2 (x² + 2x - 5) dx

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Q: The marginal cost for a company to produce q items is given by MC(q) =0.003q²-0.8q+615. The…

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Q: 3. (y² - xy)dx + x²dy = 0

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Q: Use implicit differentiation to find d2y/dx2 in terms of x and y.  3x2+2y2 = 5

A: The given differential equation is  3x2+2y2=5 We have to find the d2ydx2.

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Q: Find the average value of the function f(x) = 3x¹ on the interval 2 ≤ x ≤ 5. Round your answer to…

A: Given query is to find the average value of the function.

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Q: 5) increase in altitude. See diagram below. A road is inclined at an angle of 5°. After driving…

A: Given: A road is inclined at an angle of 5 degrees.

Q: Find the arc length of the curve on the given interval. (Round your answer to three decimal places.)…

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Q: Evaluate 15 C3.

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Q: Find all values of x for which the series converges. (Enter your answer using interval notation.)…

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Q: = 4 + 6x + 2y that lies inside the cylinder Find the surface area of the part of the plane z = x² +…

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Q: Find the smallest perimeter and the dimensions for a rectangle with an area of 4 in ²2. The smallest…

A: let the dimensions are length = y breadth = x Given area ( A ) = 4

Q: Find the volume of the solid obtained by rotating the region bounded by the given curves about the…

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Q: 6 5 4 3 2 1 779799 -3 -4 2 3 4 5 6 7 8 10 1 The graph above shows the base of an object. Compute the…

A: Solution: The Graph is made with a cylinder and cone.

Q: Evaluate the indefinite integral. (Use C for the constant of integration.) sec³(x) tan(x) dx

A: Evaulate the indefinite integral

Q: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

A: Find the average value fave of f(x)=x^5 between -1 and 1, then find a number c in [-1,1] where…

Q: ds Given the velocity v= and initial position of a body moving along a coordinate line, find the…

A: use integration for finding the  position

Q: to demand curve for a certain product is given by p(q) = 541-q^2. The supply curve is given by p(q)…

A: NOTE: Refresh your page if you can't see any equations. . the given demand function is  the given…

Q: Find the length of the curve F(t) = (3 cos (3t), 3 sin(3t), 2t) for-9 ≤ t ≤ 5 Give your answer to…

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Q: A company's revenue from selling x units of an item is given as R=1000x-x^2 dollars. If sales are…

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Q: 3 5 4 3 2 1 -1 -2 -3 -4 -5 I V = 2 3 4 6 The graph above shows the base of an object. Compute the…

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Q: Express the limit as a definite integral. IP-O Σ (32-6ck+7) Axk, where P is a partition of [-9, 2] {…

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Q: b. The equation of a circle of radius r, centered at the origin (0,0), is given by r² = x² + y² •…

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Q: A forest fire is found at midnight. It covers 1200 acres then. It is spreading at a rate of f(t) =…

A: given  rate is  f(t)=3tinitial covers is  1200 acres∫tndt=tn+1n+1+c

Q: ΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑΑ 2 3 4 5 6 7 8 9 με Graph of f 2 O -2- - 15. The graph of a…

A: Solution:f is continuous and h(x) = ∫0xf(t) dt and graph of f is given aboveFrom the graph,h(6) =…

Q: In this question, you will investigate whether the improper integral [ 21/12 converges or diverges.…

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Q: Find the roots of (D4 +D²+1) Oa 1± √3 1± √√3 1±i√3 fro 2 O b. b − 1 ± √3¸ −1 ± i√3 2 2 2 EM=130 01 ±…

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Q: Pizza House offers 2 different salads, 2 different kinds of pizza, and 4 different desserts. How…

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Q: Determine which of the following is the particular solution for the differential equation (D²-…

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Q: The marginal cost for a company to produce g items is given by MC(q) = 0.005q^2 - 0.7q+ 620. The…

A: Marginal cost for a company to produce q items   MC(q) = 0.005q2 - 0.7q + 620   Company's cost =…

Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

A: Use differentiation to find the horizontal tangent line.

Q: A piece of tissue paper is picked up in gusty wind. The table shows the velocity of the paper at 2…

A: The given table for the velocity of the paper is given as                     Time…

Q: 1 25 + 45+20 +20)

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

Q: Basic rules (sum, product, quotient, power) DO NOT USE THE DEFINITION anymore. Use the shortcuts.…

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Q: The number of people that attended the annual street fair this year was 1230. It is estimated that…

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Q: 11. 7(t) = (cost, e¹, Int)

A: Given rt=cost,et,lnt We know that dcostdt=-sintdetdt=etdlntdt=1t

Q: B If angle C measures 3(2x + 2) degrees, and angle A is 30 degrees, what is a? x =

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Q: Question 10 (D2 + 5D + 4)y=3-2x, Find Yp O a. 11 X 3 O b. I 11 8 OC. 11 + O d. 11 X + 8 3 e. none…

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Q: f(x)=xe^-x How can you use limits to decide which of the two factor functions in f(x) dominates as…

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Q: Inverse laplace 1/(2s^2+4s+20)

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