x²y² 4 (x,y)→✈(0,0) x² + 3yª Show that the limit does not exist lim

Q: 4. Find the area of the region between the line y = x/2 and the curve y = x² − 4x + 4.

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Q: 1. Evaluate 3 S 0 |3a²- 12| da.

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Q: + a. 3x (x² − 5)³ dx determine the value of the following definite integrals. Cπ/3 b. л/4 cos²(x)…

A: As we know that, The Power rule: ∫xndx=xn+1n+1+C And Use the common integral. ∫cscxdx=-lncscx+cotx+C…

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A: Graph:

Q: Find the derivative of y with respect to z. y=7 (25) dy dz ||

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Q: Determine whether the series Σ=1 1 1+√n is convergent or divergent.

A: Series   ∑n=1∞  11+n

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A: NOTE: Refresh your page if you can't see any equations. . given functions are limit of x is  so…

Q: If where f(x) = c is a real number, then which statements are true? Select all that apply. O f'(x)=0…

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Q: Find a function of the form y= A sin(kx) + Cor y = A cos(kx) + C whose graph matches this one: -20…

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Q: Find all the values of a such that the given series would converge. (x - 11)" 11" n=1 The series is…

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Q: The number N(t) of supermarkets throughout the country that are using a computerized checkout system…

A: We can solve the given problem by using the variable separable method.

Q: III. Solve the differential equation [2x + ycos(xy)]dx + x cos(xy) dy = 0

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Q: Consider the following table xf(x)g(x)f'(x)g'(x) 02 502 11 -2 3 0 24 4 1 -1 33 -3 2 3 What is h' (2)…

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Q: Find the derivative of y with respect to x if y = dx In (3x) S sin (4e¹) dt.

A: Given query is to find indicated derivative.

Q: Find the mass of the one-dimensional object. A wire that is 5 ft long (starting at x =0) and has a…

A: INTRODUCTION Here, we shall use the integral to find the mass of the object. The main applications…

Q: Determine all the number(s) c which satisfy the conclusion of Rolle’s Theorem for the given function…

A: To determine the numbers which satisfy Rolle's theorem for the given function

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A:

Q: Use l'Hôpital's rule to find the following limit. 1 1 X-8 In (x-7) lim X→8+ lim x→8+ 1 X-8 1 In…

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Q: Find the Work (W) done by a Force (F) that moves an object from the initial point (1, 10, 8) to the…

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Q: List the critical numbers of the function in increasing order ƒ(x) = x¹/5(x − 4)²

A: To find the critical numbers for given function.

Q: For the real-valued functions g(x)=2x-1 and h(x)=√x+5, find the composition g oh and specify its…

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Q: Use l'Hôpital's lim x→0 lim X-0 Rule to find the following limit. 4 sin (x) - 4x 3x3 4 sin (x) - 4x…

A: Given query is to find the limit of the expression.

Q: 6. (1 + x)y' + y = √x

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Q: Differentiate implicitly to find d2y/dx2.   2y2-xy+3x2=9

A: Given query is to find indicated derivative.

Q: ★ 2. Use Green's Theorem to evaluate the integral [ (v²³) dx (y²)dx + (xy)dy along C, the boundary…

A: Greens theorem.

Q: Solve the following differential equation (find the general solution) using the method of "reduction…

A: Please see the below picture for detailed solution.

Q: Find the area of the region enclosed by the curves between their intersections. y=² and y Simplify…

A: The region bounded by the curves y=x2 and y=x32. We have to find the area of the region.

Q: 3. y=x+ 2x² at (1,3)

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Q: What is the tangent line to when x = 4.2? y = x 4.7√x

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Q: Find the exact length of the polar curve described by r = 6e-0 7 on the interval ≤ ≤ 8π. π

A: formula for are length is  L=∫abr2+(drdθ)2dθdeθdθ=eθ

Q: A woman at a point A on the shore of a rcular lake with radius r = 4 wants to arrive at the oint C′…

A: we will find the required.

Q: 18. 0 dy de 2y = 0³ sec 0 tan 0, 0>0, y(π/3) = 2

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Q: 1. (i) Obtain the differential equation in the form Mdx + Ndy = 0 for that has a solution of the…

A: We have to obtain the differential equation.

Q: Below is the graph of f', the derivative of the function f. Determine which of the following is/are…

A: Graph of the derivative function is given, we have to find the behavior of the function f at the…

Q: Find the area of the surface generated by revolving the curve about the given axis. x = 7 cos(0), y…

A: formula for surface area is A=∫0π22πxdswhere ds=(dxdθ)2+(dydθ)2

Q: Write in summation notation: the sum of the first 470 odd positive integers. 470 Σ(i-1) i=1 470 Σ…

A: NOTE: Refresh your page if you can't see any equations. . odd integers are the first term is  the…

Q: 2 Find the equation of the tangent line to the curvey == 2:² Give your equation in slope-intercept…

A: NOTE: Refresh your page if you can't see any equations. . here we have x=2 which means the point…

Q: If cos 0 should O QI O QUI O QIV O QIII 0 and csc 0 < 0, in what quadrant lie?

A:

Q: Evaluate the integral. 16 4 6 cosh (√x) √√x dx

A: Given query is to find the integral.

Q: Question 3 ( Consider the differential equation x²y" - 3xy' + 3y = 2x³ - 3x². (a) Verify that y₁ = x…

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Q: Find the area under the given curve over the indicated interval.   y=x2+5x+4​; [4,6

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Q: < Suppose that c(x)=2x³-8x² +24,000x is the cost of manufacturing x items. Find a production level…

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Q: 4. S 1 (x2 + y2 +z2^3/2 | dv with S bounded by x² + y² + z² = 4 and x² + y² + z² = 9

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Q: 2.2 Find the integral (and leave answer in simplified form) a) √x(x ² + 1)² dx

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: A company's revenue for selling x (thousand) items is given by R(x) = Find the value of x that…

A: I have solved step by step in detail by considering exact value....with no any approximation...go…

Q: True or false. The integral True -1 False 3 2 1 -1 f(x)dz gives the area of the shaded portion…

A: Here we have to verify whether the given integral for finding the area is true or false.

Q: Use l'Hôpital's Rule to find the following limit. sin (x)-x 3 8x lim x-0

A: SOLUTION-

Q: Show that T 9²²-x² dx ча In atx a-x +C

A: