2 Show that the following limit does not exist. lim Ty Cos y (r.9)-(0.0) 3r+ y²

Q: 9. Sze4z²dz

A:

Q: 2 x y ey + y² e*v° +1) dæ + (æ² e**v +2 x y e" ° – 2 y) dy = 0

A: We have to solve given differential equation.

Q: Consider the following equation. 4x + 3y = 14 Step 2 of 2: Find the equation of the line which passe...

A: Given query is to find equation in of the indicated line.

Q: The gross domestic product (GDP) of a country is $78 billion and growing at the rate of 4.41-1/3 bil...

A:

Q: • f(x) = -1 when r 2 • f(0) = 1. 1 2 ) Define the function f on the interval [-2,2] such that f is ...

A: (i) We can take fx=x+1-2≤x≤0-12x+10≤x≤2. Note it is obtained by connecting the known points via line...

Q: Evaluate f w?sin(10w)dw using integration by parts W

A:

Q: Consider the following. cos(x) + Vy = 3 (a) Find y' by implicit differentiation. y' = (b) Solve the ...

A: Derivative

Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

Q: Find the solution of the given initial value problem. ty' + 4y = t – t+ 5, y(1) = 5, t> 0 |

A:

Q: 3) Natalie works as a playground supervisor for 8 weeks during the summer at a rate of $15.27/h. She...

A:

Q: 8. Solve for all sides of the triangle. 12 40° 95 A

A:

Q: Determine the constants A, B: 2.х — 3 A В (x – 3)(x – 4) x – 3 x – 4 - - +

A:

Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

A: We have to solve this given bernouli equation. 

Q: Which of the following is the general solution to the differential equation Су(х + у) %3 х У(х + у) ...

A:

Q: Given the function: f(x, y) = 3æ°y – 7x*y+ 5x – 4y Find the folowing: show complete solution a. fz(1...

A:

Q: The temperature, in degrees Celsius, at a point (x,y) on a metal plate is given by T(x,y) = 20-4x^2 ...

A: Given Temperature on a metal plate at point (x,y)T(x,y)=20-4x2-y2

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Base on the general formula of the work we will calculate the total work required for pumping fluid ...

Q: 5. Find fx, fy, and fz given x®y? f(x, у, 2) z4 %3D

A:

Q: The exponential growth model of a population in a certain city is A= 20e0.05t where A is the size of...

A: As per our company guidelines, we are supposed to answer only the first 3 sub-parts. Kindly repost o...

Q: If f(x,y,z) = z In(x²ycosz): then fz is

A: Here, the given function is: f(x,y,z)=z ln(x2ycos z) Using the properties of the natural logarithm: ...

Q: A trough is 3 m long, 5 m wide, and 4 m deep. The vertical cross-section of the trough parallel to a...

A: Find your answer below 

Q: Find the derivative of y(x) = In (9(ln(x))’). (Use symbolic notation and fractions where needed.) dy...

A: To find the derivative of yx=ln9lnx7.  

Q: 7. Determine which of these positive integers are a) 1,5,7,11,13,17,19,21, 23,25, 29,31 b) 1,5, 7,11...

A: We know that  Two numbers are said to be relatively prime if their greatest common divisor is one. F...

Q: For the given p-series, identify p and determine whether the series converges. -8/7 .Therefore the s...

A: The given series,       ∑k=1∞k-87

Q: -x' + 2 Find the slope of the secant line between x = -3 and x = 3 for the function f(x) = (Enter yo...

A: Given that a function f(x)= (-x3+2)/(2x-2). And we find secant slope of line between x=-3 and x=3 fo...

Q: The curve y = f(x) has a y – intercept of 3. The tangent to this curve at the point (x, y) has an x ...

A: Based on x and y intercept value we will find out equation of the graph. 

Q: asider the function f(x) = e" on [0, 2), %3D

A:

Q: The number of bacteria "N" present in a culture increases at a rate proportional to the number prese...

A: Topic:- function

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

A:

Q: Suppose Gavriel's utility depends on the amount of time spent playing on Xbox (X) and the amount of ...

A:

Q: 16

A:

Q: 2- 1- -4 -3 -21 0 2 3 Graph of f The function fis continuous for -4 <x <4. The graph of f shown abov...

A:

Q: A trough is 40 ft long and has semicircular ends, with the flat side facing up. The semicircles have...

A:

Q: Use the ratio test to determine whether the series converges or diverges. If the test is inconclusiv...

A:

Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at (...

A:

Q: 3 аx2а (x2а +1)" dх a:

A:

Q: Solve the given differential equation. All solutions should be found. dy ° – 6y NOTE: Use c for the ...

A:

Q: Solve the given differential equation. All solutions should be found. (8y" + 20°y) dx – (7xy° + x") ...

A:

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (– 1)k+12 Σ 00...

A:

Q: 50 -40 -30 -20-10 10 20 30 40 50 Based on the pattern you see in the graph answer the following ques...

A: The symbol limx→af(x) represents the value of f(x) as x is nearing the value a irrespective of appro...

Q: Find the inflection points of each of the given curve.  y = x3 – 3x2 + 4

A: ⊙a function y=f(x) is said to have inflection point at x=a, if its second derivative i.e. d2ydx2 cha...

Q: Evaluate the following integrals. 1. 4x sec .3 -1 x dx

A:

Q: 2. Let g be the function whose graph is shown below. 3 2 1 y = } -1 -1 (a) Evaluate lim g(x), lim g(...

A:

Q: Evaluate lim -2x csc (-5x).

A:

Q: This case study is about fitting data to various exponential-type functions. (Chapter 5) A commercia...

A:

Q: use Substitution method to schve (3メ -2Y +1)dx -(X-2Y-3)dy=o

A: We have to solve it by substitution method. 

Q: Find the local maximum and minimum values and saddle point(s) of the function. You are encouraged to...

A:

Q: 8xdx 1 — 4еx?

A:

Q: Find the Maclaurin polynomials of orders n = 0, 1, 2, 3, and 4 and then find the nth Maclaurin polyn...

A: