10. Use the &-& definition of limit to prove the limit is 16. lim 6x-2 x 3

Q: Evaluate the multiple integral Л COS S. * S cos (1/14) 2 sin(x/4) y dy dx

A: First integrate with respect to y

Q: Solve the following differential equations. Show your complete and detailed solutions. dy xy-y+2x-2…

A:

Q: 10. Find the amplitude (a) and period (T) of the following function f(t)=2cos(720xt-6)

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Q: dz Use an appropriate form of the chain rule to find z = 7x³y³; x = 5, y = tº Enter the answer in…

A: To find the derivative of z with respect to t

Q: Consider the following equations. y = x² - 4 y = -x + 5 x = 0 x = 2 Sketch and shade the region…

A:

Q: Question 8 What is the order of the differential equation .x²dy/dx - 2xy"=0?? A) 1 B 2 3

A: The order of the given differential equation is 2

Q: 1. n=1 1 5n

A: Given query is to apply ratio test to find seqiia diverging or converging.

Q: 5) w(n) = -2n - 2; Find w(9)

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

Q: Use the graph of the function f shown here to evaluate the following expressions. ĭ -3-2 YA 5 8

A:

Q: Whenzeroismultipliedtothe lim - 3x 20 + 1 x²-16 , the answeris

A:

Q: Question 9 Which is equivalent to Inlyl=3x + Cwhen y is solved in terms of x? A B y=ce²x y = 3x + C…

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Q: 1 ² dx 1-x

A:

Q: y = ax²; xy' - 2y = 0

A:

Q: What is the general solution of the differential equation 2y''+y'-6y=0? (A) B O E y=C₁e² +C₂e y=C₂₁e…

A:

Q: You have the following data Y=12, 8,16, 7, 8, 9, 20, 4 The Skew modulus is

A: Skew modulus = 3(mean- median)/standard deviation

Q: The following function expresses an income tax that is 20% for incomes below $5000, and otherwise is…

A: To find out the taxes

Q: 8. Explain one difference in how & and 8 are used in the definition of limits. 9. For f(x) = 2x²,…

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Q: Eliminate the constant: y=cx+c²+1 Oy=xy' + (y) ²+1 O y'=xy + y² +1 Oxy"=x+ (y) ²+1 Oy=y'+x(y'¹) ²+1

A: The answer is given below

Q: How much work is done lifting a 20 pound object from the ground to the top of a 60 foot building if…

A:

Q: x²y" + xy' = x² + y 2

A: See this solution in below.

Q: n= 1 (2n)!

A:

Q: Determine the total differential dH of the function: H(x,y,z) = x^y+z

A: Given, H(x,y,z) = x^y+z

Q: PROBLEM 3 [COMPOSITE AND INVERSE FUNCTIONS]: Two functions p(x) and q(x) are nverses of each other…

A: Given that px=3x-24x+5  ,qx=2+5x3-4xSolution :Given condition…

Q: 4-3/x lim X→+* 2+5/x

A:

Q: 6. f(x) = sin(2x)

A:

Q: Let limf(x)=L(Lbeanyrealnumber) andnbe apositive integer. X→C Whichof the givenstatementsis/are…

A:

Q: Determine the value of k such that x²y=1+x is a solution to (x²y + k) dx + x³dy=0

A: We have to find value of k.

Q: Let f be the function given by f(x) = e + cos x - 1. What is the value of f' (2) ? A (B -1.281…

A: We need to find out the value of f'(2)

Q: 20. 198 14 n4 + 2 +2 n=0

A:

Q: 13. == H

A: Radius of convergence of a power series is ∑anxn is given by 1R=limn→∞supan1n.Then interval of…

Q: If lim g(x) = 6and lim- X-4 A B C D 3 6 √√3 √f(x)-1_√2 g(x) √6 ,whatisthe limf (x)?

A:

Q: 1 For each of the following problems, find the solution of the initial value problem in explicit…

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Q: 53. So 0 ex sin x dx

A:

Q: 1. ASSUME THAT Z IS IMPLICITLY DEFINDED AS A FUNCTION OF X AND Y. FIND THE FIRST PARTIAL DERIVATIVES…

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Q: 9. X n=1 10/22 2n²

A:

Q: 1. Find the exact numerical value of each expression (a) sinh(ln3)

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Q: 2 s x sin x²√√cos³ x² + 3 cos² x² + 3 cos x² + 1

A: I have stated the used formulas in the solution

Q: Prove the following limits x⁹y lim a) (x,y)=(0,0) (x6+y²)² b) = Does not exist x²y+xy² lim…

A:

Q: Find an equation for the plane through the points (5, 5, 2), (2, 1, 0), (1, 0, 2). The plane is

A:

Q: Find L-1 (s+2)2+16 2+16³.

A:

Q: Which of the following is the differential equation of the family of straight lines through the…

A:

Q: If a binomial distribution has p = 0.60, then what is the value for q? O 0.36 O 0.40 O 0.60 O 1.60

A: Solution is given below:

Q: dy Solve the differential equation cosx- -+ysinx=sinxcosx. dx A y = sinxlnl secxl+ Csinx B) There is…

A:

Q: What is the general solution of the differential equation y "'- 2y '+y=0? A There is no correct…

A: Here we have given a higher order differential equations.  Now we have to find its general solution.…

Q: Which of the following is the complete set of roots of the auxiliary equation for y"-3y+3y'-y=0. A)…

A: Given, y'''-3y''+3y'-y=0

Q: The null hypothesis for a binomial test states that p = 1/5. What is the z-score for X = 29 in a…

A: We have to find the Z score.

Q: Matrix A = [13],find Eigen values of 4².

A: First of all we will find A to the power 2, then we will find eigen values

Q: Question 2 Consider the graph of the function f below. 3 f 2 AX -6-5-4-3-2 12 3 4 5 6 -3 b. x = 0…

A:

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

A: A sinosoidal curve can be view as y=Asin(kx)+C, where A is the Amplitude, k is the period, and C is…

Q: A. Solve f(D)y=0, where f(D)= D(D² - 1)²(D − 1)³. B. Find L{3e-10t - cosht+t(6/3).

A: