Consider the following. X+6 x²-x-42 Find the x-value (if any) at which is not continuous. Is the discontinuity removable? (Enter your answers from smallest to largest. Enter NONE In any unused answer blanks.) [removable x = f(x) = non-removable

Q: The gradient vector of the function f defined by f(x,y)= In(1+7x² +5y²) is equal to Select one: O…

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Q: Evaluate the following iterated integral without technology. 642 SSS (-4x+5y+z) dxdydz 000

A: To evaluate the following iterated integral without technology.∫06∫04∫02-4x+5y+z dx dy dz

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

A: We will solve.

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Q: Evaluate the integral using NOTE: Enter the exact answer. [ 5x²e²³ dx = appropriate substitution. +C

A: We can evaluate the given integral by using the substitution u= x3 and the following formula.

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A: Concept: Area of the square: A=side2 The diagonal of the square is : d=2side Area of circle: A=πr2…

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Q: Use the functions below to find the given value. f(x) = x - 2 8 g(x) = x³ (gof)(-2) =

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Q: 10. Determine whether the series converges or diverges by using the integral test: Σnt n=1

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Q: Find the average value over the given interval. 32) y = 5x2; [-1,2]

A: We can find the average value as below.

Q: Evaluate I = √³/ 1-2i 2 (2Z+3) dz Ans 17+191 along the path x=2t+²₂ y=4t²_t_2 F ostsi

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Q: √x dx for n=4 is equal to Using Simpson's method 0 Blank 1 (use 2 decimal places with proper…

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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: Determine L-1 (-1(1+81) S³ 1 (a) =—=t+2₁² (b)t+4t² (c) t+8t² 1 (c) t+8t²

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Q: Find the lim inf (xn) and lim sup (x₂) of Xn = COS nπ

A: I have calculated the limits

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Q: 6. Find the area of one loop of the polar curve r = 2 sin 30

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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

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Q: Which one of the following gives the area of the region enclosed by the lines x = 0, x= 3, y = 0 and…

A: Given that the lines x=0 ,x=3 ,y=0 and y=-3+x. We find area enclosed by this given lines.     Here i…

Q: Find a closed form for the infinite arithmetic sequence given by the recurrence system:  x1 = -1,…

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Q: Find the graph of the polynomial function f(x) = -x3.

A: we write a table for x=-3 to x=3 and calculate the values of f(x) for all these values and plot the…

Q: Given: f(x) = x³ – 6x² − 15x + 7. Find the LOCAL MINIMUM point of f (x). A. (5, ƒ (5)) B. (−1, ƒ…

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Q: The table of values represents a polynomial function. X -3 -2 -1 0 1 2 -3 The function is a) quartic…

A: Let's find.  Table of value given.

Q: 2 ƒ² ƒ² (x − 3y²) dydx = −12. - Select one: O True

A: ∫02∫12x-3y2dydx=∫02x-7dx=-12

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Q: Find the area of the triangle. (Round your answer to one decimal place.) 2

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Q: Evaluate the integral and check your answer by differentiating. x² +8x4 1 x6 1² dx +C

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Q: Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y…

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

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A: Basic partial differentiation is used.

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Q: ⁹1 9x + 7 8x5 dx || +C

A: Given: ∫9x+78x5dx

Q: where R= [1, 2] x [-1, 2] is equal to Select one: None of them √ [₁3x²- (3x² - 2y), R 0 1 18 24

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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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