QUESTION 5 lim f(x.y). Find (K)- (0,0) Let f(x.y)= O b.1 OC. -1 O d.1/2 e. Does not exist.

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A: Topic:- differential equations  Note:- as per our guideline if more than one question uploaded than ...

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Q: Prove that for all x > 0 and all positive integers n x2 e* > 1+x + 2! +3 +: 3! x" + n! Recall that n...

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Q: x² – 3 dx x +1 Evaluate

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Q: 8:43 B O O * all all 73%t cln 10 Evaluate In 8 -dx et – 5

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Q: dt 七

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A: Given that: ∫dxx+x3

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Q: ne integrals might seem complicated. But they will simplify significantly if you look at m in the ri...

A: Numerator Cos3 θ+ 2 Cosθ sin θ  - 3 cos θ Cos θ(Cos2θ + 2 Sin θ - 3) Cos θ(1-Sin2θ + 2 Sin θ - 3) Co...

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A: Given problem:- ∫2x cos(2x) dx  Method:- we use integration by parts to this problem

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Q: 2 Ix sin'x COS X x² 2. (x sin?x? cos x? dx

A: ∫ xsin3x2cosx2dx

Q: Solve the linear differential equations dx= 4+5y =D 8 sin x when %3D x-0, y=0 y'=o Find y when x = T

A: See the details solution in below

Q: EVALUATE AND SOLVE THE LINEAR DE. (D5 – 15D3 + 10D² + 60D – 72)y = 0

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Q: Find the derivative of the function. 1 In(1 + 49x 14 y = x arctan 7x dy

A: Given y = xtan-1(7x) -114ln(1+49x2)dydx = d xtan-1(7x) -114ln(1+49x2)dxdydx = dxtan-1(7x)dx-114d(ln(...

Q: Consider the function f on [0,1] defined by f(x) = (t2 – t)dt. Is the function f (x) increasing or d...

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Q: ý dy マ/2 y+16

A: Given that: ∫y2dy(y2+16)3/2

Q: Find the values of c that make f continuous everywhere: ´x² – c² if a 9 smaller c = larger c = Use ...

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Q: Consider the region bounded by y = x and y = Vx, shown below. Find the volume of the solid obtained ...

A: This question is related to definite integration, we will solve it using given information. 

Q: Find the general solution to / + (xy)² = y²e%* .

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

Q: The following are qualitative variables EXCEPT A. plate number C. daily intake of chocolates B. zip ...

A: We are asked to find the which one odd

Q: Find the optimal Solution by 2. Two-Phase method MAX Z = 5x1 + 9x2 - 18x3 subject to 5x1 + 16x2 + 5x...

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Q: Evaluate the integral į. I. (1 - x - x² – y²)dA Where R is one-unit circle on the xy-plane.

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

Q: Solve the first order differential equation. dy - y ln(y ecos x) dx = y sin xdx

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Q: Find the critical numbers of the function. (Enter your answers as a comma-separated list.) g(t) = 6t...

A: Given query is to find the critical number of g(t).

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Q: 1. Find the integral

A: Topic:-  calculus

Q: 6. data are those that can be counted and assume only a countable number o values. A. Continuous C. ...

A: Use the definition of data and choose the correct answer

Q: Find the tangent to y = x-x+5 at x = 5. The tangent to y = /x -x+5 at x= 5 is y = || 2.

A: As we know that, The expression for the equation of the tangent line is: y-y1=mx-x1 Where, ''m'' is ...

Q: The consumer demand equation for tissues is given by q = (110 – p)², where p is the price per case o...

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Q: Use los, differentiation to find dydx X+3

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Q: V4 +x? xp

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Q: クメ- 2 dx +2x +17

A: Given that ∫033x-2x2+2x+17dxSolution : put 3x-2=Addxx2+2x+17+B3x-2=A2x+2+Bput x=-13-1-2=A-2+2+BB=-5p...

Q: Find the first and second order partial derivatives for z x2 sin (3x + 2y).

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Q: At what points is the following function continuous? 2-4x-5 x#5 f(x) = X-5 6, x= 5

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Q: Find all points (x,y) where f(x,y) has a possible relative maximum or minimum. f(x,y) =x² - 5xy + 6y...

A: Given that: f(x, y)=x2-5xy+6y2+3x-9y+8

Q: 5. Find the integral 1 -dx x -5x +6

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