lim Find the limit. Show all work algebraically. *→-5x² +4

Q: 2. xy=-x³y-csc (xy)

A: Given differential equation:- x4y'=-x3y-cscxy

Q: 5. Determine if the following series converge conditionally, converge absolutely, or diverge.…

A: According to the guidelines,  I can answer maximum three subparts of a question. Since there are…

Q: If f(x) and g(x) are continuous functions and use the table below to evaluate c'(-2). x f(x) g(x)…

A: Use the chain rule of derivative and put the value from the given table.

Q: Determine the set of points at which the function is continuous. xy f(x, y) = x² + xy + y² 0 # o…

A: Given function is f(x,y)=xyx2+xy+y2if (x,y)≠(0,0)0if (x,y)=(0,0)

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

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Q: The height​ (feet) of a ball launched in the air t seconds after it is launched is given​ by:…

A: The height (in feet) of a ball is launched in the air t seconds after it is launched is given​ by…

Q: √ x2 (4x² + x² − 1) ³. Find the derivative of f (x) = =

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Q: Part A is incorrect. I put in 0, it marked me as wrong. I also tried these combinations for answers…

A: Please see the below picture for detailed solution.

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: x(t) Find the point at which the line y(t) z(t) = = = 4 - 8t -4+ 5t intersects the yz plane. 6 + 2t

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Q: Use l'Hôpital's Rule to evaluate lim t→0 lim t-0 5 sin (416) - 4t = 5 sin (416) - 4t (Type an exact…

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Q: Draw the line with an x-intercept of -7/4 and a y-intercept of 3/2

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Q: 2 For the function f(x)=√x+25, find f''(x). Then find f''(0) and f''(3). f(x)=0 www

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Q: find the equation of the line 9. Through (2, –50) with equal intercepts 10. Through (–7, –4) with…

A: Coordinate geometry

Q: sing the following graph of the function f, aluate the limits (a) through (i). 10 -2 8t 6- -2 -4 y X…

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Q: Consider the following. Rewrite the given integral as an iterated integral. A = B = J (x - y) dV,…

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

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: (a) Find an equation of the tangent plane to the surface at the given point. z = x² - y², (3, 2, 5)…

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Q: Use the given feasible region determined by the constraint inequalities to find the maximum and…

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Q: Find u and v if u+3v = 3i − k and 6u − v = i +j+ k.

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Q: Find an equation of the tangent plane to the surface at the g h(x, y) = In √√x² + y², (6, 8, In 10)

A: Given: h(x,y)=lnx2+y2  at (6,8, ln10) To find: The equation of the plane to the surface

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 the triple integral Ex dV by converting to cylindrical coordinates. Assume that E is the solid…

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Q: The graph of y=AsinBx has amplitude=​_______ and period=​_______.

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

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Q: Use the method of cylindrical shells to find the volume generated by rotating the region bounded by…

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Q: Use spherical coordinates to integrate f(x, y, z) = 4√√x² + y² + z² over the solid E above the cone…

A: Use spherical coordinates to integrate f(x, y, z)= 4(x2+y2+z2 over the solid E above the cone z=…

Q: In 2012, U.S. consumption of renewable energy was 8.45 quadrillion Btu. Since the 1960s, consumption…

A: Solution: Given: f′(t) = 0.004t + 0.062 To find f(t), we need to integrate the given rate of growth…

Q: Use cylindrical coordinates. Evaluate x² dv, where E is the solid that lies within the cylinder x2 +…

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Q: Ο 16 Σo (-4)*2 (-1)"2n 4"+2 το 2n=0. που Σ 16 =0 (-1)" ²n 4+2 Σo (4)"an 16 Σño (4)"a2 mari Find a…

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Q: A roadside wall has a zigzag pattern on it as shown. The two longest lines are each 2 m long, then…

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Q: The point x = 0 is a regular singular point of the given differential equation. Find the equation…

A: To solve the following problem

Q: For the following function, find (a) the critical numbers, (b) the open intervals where the function…

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Q: x(t) Find a plane containing the point (8,-4,8) and the line y(t) = z(t) = = || - 4 - 6t 6+t - 5+ 4t

A: It is given that, The plane contains the point 8,4,-8 and the lines x=-4=6t, y=6+t and z=-5+4t.…

Q: Use the Chain Rule to find dw/dt. w = xeylz, dw dt = e y 91²2 x = tº, y = 5-t, 6xy 2² Z X Z X z = 7…

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Q: In(y) Find (1-0) КК - e +y In(x) √x dya dydx.

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Q: Find the mass of the intersection of two rods with constant mass density p that is formed by the…

A: We can solve it as follows

Q: The sides of a square baseball diamond are 90 feet long. A player is between second and third base,…

A: The sides of a square baseball diamond are 90 feet long. A player is between second and third…

Q: Find [." ["v y arctan (1) dydr. dydx. Hint: Use integration by parts.

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Q: Determine whether the series is convergent or divergent by expressing the nth partial sum s as a…

A: We can prove the convergence by using nth partial sum of the given series.

Q: Use implicit differentiation to find the equation of the tangent line at the given point x² + y² =…

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Q: Draw the line with the given of x and y intercept respectively; -1/4,2/5. Write the equation of the…

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Q: 3 ·Ỹ (²³)". n=0 Consider the series Σ a. The first four terms in the sequence of partial sums for…

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Q: Find all the local maxima, local minima, and saddle points of the function. f(x,y) = 2x² - 4xy+3y² -…

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Q: Compute the discriminant D(x, y) of the function. f(x, y) = x³ + y4 - 6x-2y2² +4 (Express numbers in…

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Q: The graph of a function f is given. Use the graph to estimate the following. y local maximum local…

A: Consider the graph of the function

Q: Evaluate the difference quotient for the following function. f(x) = 4x²-x First, find f(x + h) −…

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Q: Video Example Evaluate = √√√elt². Solution e(x² + y² + z²j3/2 where B is the ball: B = = {(x, y, z)…

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Q: 2. Express the integral as a limit of Riemann sums using right endpoints. Show right endpoints x;…

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Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = x²(x-12)5 f'(x) =…

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