1. Find the indicated limit or state that it does not exist. (1) lim (x²y+3x) (2) sin(x+y) lim (x,y)-(0,0) 3(x+y)

Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find the average value of f over the given rectangle. f(x, y) = 3ey√√x + ey, R = [0, 10] × [0, 1] X…

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Q: Use Theorem 13.9 to find the directional derivative of the function at P in the direction of PQ.…

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Q: Find f(x) if f"(?) = 12x^2+6x−4 and f(0) = 4 and f(2) = 10

A: f''(x)=12x2+6x-4f(0)=4f(2)=10∫xndx=xn+1n+1+c

Q: Suppose that is a function which is continuous and differentiable. Given that f'(x) ≤ 5 for all x in…

A: Application of Derivative

Q: Find a plane containing the point (1,4,3) and the line of of the planes 7x + 5y - 8z = 27 and 5x +…

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Q: The diagram above shows the graphs of y = e-* (red) and y = x (blue). (a) State the equation in x…

A: Point of intersection refers to the point where the graphs intersect. Graph is a diagrammatic…

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: Problem #3: Find the work done by the force F = 9xy i+ 12y2j acting along the piecewise-smooth curve…

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Q: For the function f(x)= 5x x-4 find f'''(x), the third derivative of f, and f(4) (x), the fourth…

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Q: Find f'(x) and simplify. f(x) = 5x4 Inx

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Q: Consider the four graphs shown below. For each graph, select Yes if satisfies the following…

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Q: Present value. A promissory note will pay $65,000 at maturity 9 years from now. How much should you…

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Q: A manufacturer sells video games with the following cost and revenue functions (in dollars), where x…

A: Given: The cost function ( in dollarss) C(x)=0.13x²-0.00006x³ The revenue function (in dollars)…

Q: 6) Differentiate y=2 cos (z) + 6cos¹ (z).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 3x - 1 Let f(x)= X a. Make tables of values of f at values of x that approach x = 0 from above and…

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Q: Problem #3: In a mixing vat there are initially 200 litres of volatile liquid. 1 litres of fresh…

A: After the first hour, 1 liter of fresh liquid is added and 5% of the current content is lost due to…

Q: Use the equation y = x² - 17x + 72 to answer the following question. For what values of x is y ≥ 0?

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Q: find the area of the shaded region

A: Area OAB=Area under the curve OA in 1st quadrant+Area under the curve AB in 1st quadrant-Area under…

Q: Which of the following vector fields are conservative? (i) F(x, y) = (8x7y7 + 3)i + (7x7y6 +9) j…

A: Check the each options for the given field is conservative or not.

Q: 2. Locate the absolute extrema of the function g(x) = x² - 8x + 12 on the closed interval [0, 5].…

A: g(x)=x2-8x+12d dx(xn)=nxn-1d dx(constant)=0

Q: The masses m, are located at the points P. Find the moments Mx and M, and the center of mass of the…

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Q: Find the derivative. f(x) = 8√√2x² +7 f'(x) =

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Q: Find the point of diminishing returns (x,y) for the function R(x) = -0.3x³ +4.4x² + 4x where R(x)…

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Q: f"(0) = sin 0 + cos 0, f(0) = 1, f'(0) = 4 f(0) = -sin (0) - cos(0) + (0) + 2 x

A: Given query is to find indicated function.

Q: What are the solutions to the equation 3x² + 6x + 5 = 0? A B C D - 1 t −3+√6i 6 ± −1+ 3 i 2√6 ∙i w/²

A: 3x2+6x+5=0we know  -1=iwhere i is stand for iyota

Q: Find the extreme values of f(x,y) = xy subject to the constraint x² + y² - 20 = 0. The extrema are…

A: To find the extreme values of fx, y=xy subject to the constraint  x2+y2-20=0.

Q: y" - 2y + 2y = e secx; Y₁ = e cos x у1

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Q: Fully factor and find all of the specific zeros of the function f(x)=2x4-9x³ + 6x² - 9x +4 Show your…

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Q: /transcript Perform a first derivative test on the function f(x) = x (x-3); [-3,3]. a. Locate the…

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Q: A restaurant purchased kitchen equipment on January 1, 2017. On January 1, 2019, the value of the…

A: The given modeled is: Vt=14550 e-0.161t On January 1, 2019, the value of the equipment was $14,550.

Q: f the first derivative of a function is f'(x) = x(x − 3)(x + 2)², a. create a sign chart for the…

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Q: Find the extreme values of f subject to both constraints. (If an answer does not exist, enter DNE.)…

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Q: Find the gradient of the function at the given point. Function Point f(x, y) (4, 5) Vf(4, 5) = x +…

A: Given function:- fx,y=x+5yy+1

Q: Find the equation of the line passes through (-2,3) with y intercept 2/3 of the x intercept.

A: Given equation of line passes through ( -2 , 3 )  y intercept 2/3 of the x intercept

Q: 10) Consider the following two functions p(t) = and 7e-2)-7 t-2 P: R R if 0 2 q: R→R q(t) =…

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Q: Find all critical points of h(t) = t³/4 - 2t¹/4 and identify them as local maximum points, local…

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Q: Find the radius of convergence of the following power series: summation from n = 0 to infinity…

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Q: The following table records some values of f and its derivative. 1 1 2 3 4 5 6 2 0 1 3645 4-2 1 531…

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Q: Solve the given differential equation. 7ydx - 7xdy + x4 dx = 3dx The solution is. (Type an…

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Q: 5. Find the points of inflection and discuss the concavity of the function (x)=-8x-2 cos x on the…

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Q: 3. If F(x, y) = 3x¹y³ – 2x²y³, find F(x, y)/y²

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: Use l'Hôpital's Rule to find the limit. t³-4t+15 lim t→-3 t²-t-12

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Q: Consider the following. the volume of the solid that lies within both the cylinder x² + y² = 25 and…

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Q: 3 Find the open intervals where the function f(x) = -2x³ + 6x² +171x-2 is concave upward or concave…

A: given function is :-f(x) = -2x3+6x2+171x-2then we have to find point of inflection and concavity…

Q: Suppose that 336 ft of fencing are used to enclose a corral in the shape of a rectangle with a…

A: Length of rectangle=x ft Width of rectangle=y ft Radius of semicircle r=x2ft

Q: 5. (a) Find the parabola's vertex, focus, di i. (y + 2)2 = 8(x - 1)

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Use the equations m = (Σ*k) (Σγκ) - η Σ×κυκ -n and b = n (Ek-mΣxx) with all sums running from k = 1…

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