Consider the following. 7|x - 21 x-2 Find the x-value (if any) at which f is not continuous. Is the discontinuity removable? (Enter NONE In any unused answer blanks.) ; nonremovable X = f(x) =

Q: Find the relative extrema of the function and classify each as a maximum or minimum. -2)2/3 5) f(x)…

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Q: The directional derivative of f(x, y) = xe + 2y at point (2, 0) in the direction of the angle = is:…

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Q: = 0, y = x, and x = 5. n, the region D expressed as type I is: = {(x, y)|0 ≤ y ≤ x,0 ≤ x ≤ 5} ect…

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Q: c²e-2x³ dx [ +C

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Q: Find c if a=3mi, b=3.5 mi and ∠C=40.2degrees. c=   mi;

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Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: Let f(x, y) = 3x² + 2y² − 2xy — 1. Find the local maximum and minimum values and saddle points of f,…

A: Double integral, Maxima minima

Q: III-Déterminer la dérivée de : a) f(x) = lnx lnx + 1 III- Determine the derivative of: ex +1 J b)…

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Q: a) Determine if the geometric series 8-1 gn+1 Σ n= is convergent or not, and find its sum if it is…

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Q: 13.) 2 automobiles start from the point A at the same time. One travels west at 60 miles/h and the…

A: Given Velocity of one = 60 i Velocity of second = 35 j

Q: Consider the surface described by Question the equation z² = √е¹-2y. a) Find the equations of the…

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Q: g and concave up on the closed interval [a, b]. The interval [a, b] is partitioned into 4 equal…

A: We will solve.

Q: Find an equation for the ellipse whose graph is shown. y 0 (10,5) 15 X

A: Consider the ellipse  Consider the graph

Q: The function f(x, y) = -2x² + 4y² - 12 has a local maximum at the point (0,0). Select one: O True…

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Q: Find the center of mass of the lamina bounded by the graphs of the equations x = 64-y² and x = 0 for…

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Q: Maximum Profit Yaster Gadgets manufactures and sells a smartphones per week. The weekly price-demand…

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Q: 9. Find if x (t) = t + sin(t), and y(t) = t - cos(t). doe

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Q: Find y' and the slope of the tangent line to the graph of (2x - 5y)7 = 3y2 -2 at the point (3,1).…

A: The used formulas are

Q: Consider the function f(x, y) = y ln x - x ln y - . a Find the directional derivative of f at the…

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Q: Find the vector v with a magnitude of 302.2 and a direction angle of 55.4°. Write the answer in the…

A: We have to find a vector v with a magnitude of 302.2 and a direction angle of 55.4°.

Q: The normal vector to the tangent plane for the surface xy² z³ 2 3 = -4, at the point (1, 2, -1) is:…

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Q: Let R be the region bounded by y = 2x, y = 2 and x = 0. Sketch the region R and evaluate the double…

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Q: •√ (2x + √₁ (2r+√16-r²) dr by interpreting it in terms of areas. 10. Evaluate

A: Bh

Q: 1. Evaluate the following: (ª) [e² (√π +6³) d dx

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Q: The half-life of cobalt 60 is 5 years. (a) Obtain an exponential decay model for cobalt 60 in the…

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Q: Consider the following. f(x) = 81 Find the x-values (if any) at which f is not continuous. Is the…

A: We know that discontinuity is a point where the function becomes undefined. The point of…

Q: a) [ Sketch the region R. 1 b) [] Set up the double integral that represents the area of the region…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

A: The given cost function of producing x calculators is Cx=6+2x+48 , 0≤x≤50

Q: Find the constant a such that the function is continuous on the entire real line. 2sin x a 11 g(x):…

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Q: Find the volume bounded by 3x+2y+z=12 bounded by x=0, y=0, z=0

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Q: (b) Determine whether the alternating series converges or diverges by using the alternating series…

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Q: Which one is the set of all critical points of the function f(x, y) = x²y + x² - 9y+1? 2 Select one:…

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Q: Solve the problem. 28) A kitchen remodeling company determines that the marginal cost, in dollars…

A: In this question we have to find the cost of installing an extra 9 feet of countertop.

Q: Evaluate the iterated integral: - 7 -X = S S e-* dydx е 8

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Q: Find the lim inf (xn) and lim sup (xn) of Xn = √1 + n² 2n - 5

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Q: The Integral fi fig(z,y) dyda can be written as: 21-9(x,y) dzdy Select one: O True O False

A: We can solve this as follows:

Q: Without using a calculator, for the following, sketch the graph of the polar equation and identify…

A: Follow the procedure given below.

Q: Use the graph to determine the limit. (If an answer does not exist, enter DNE.) -8 (a) lim f(x) =…

A: To find out the limits.

Q: Without using a calculator, for the following, determine the definite integral that represents the…

A: Here, the given curve is r=3-4cos θ. The graph of the curve is: To find the area of the shaded(red)…

Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

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Q: Find the one-sided limit (if it exists). (If an answer does not exist, enter DNE.) 6x²+x-1 Ilm…

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Q: 1. Find the gradient of the function f(x, y) = x² sin y.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Evaluate [/F F. dr using the Fundamental Theorem of Line Integrals. Use a computer algebra system to…

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Q: After a large number of drinks, person has a blood alcohol level of 200 mg/dL (milligrams per…

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Q: How many critical points the following function has, h(x, y) = 1 + x³ + x + xy²? Select one: O None…

A: We can find the answer as below.

Q: Find an equation of the tangent plane to the surface represented by the vector-valued function at…

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Q: The maximum value of the function f(x,y)=x+y-5, x² + y² = 2, is-7. Select one: subject to the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The Integral f f 1- y² dxdy is equal to: Select one: O None of them O оос 13 23 1|23|2

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Q: tank

A: Please refer to the image below

Q: Evaluate the iterated integral: I 7-x X -SS e dyda 8 7 2

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