Find the absolute maximum and the absolute minimum of f(x,y)= 3xy-3x-6y+1 on the closed triangular region whose vertices are (0,0), (6,0), and (0,4).

Q: The great Swiss mathematician Leonhard Euler sometimes reached incorrect conclusions in his pioneeri...

A: Euler deduce that 12=1-1+1-1+1-1+......and-1=1+2+4+8+......by substituing x=-1 and x=2 in the formul...

Q: 8) For this problem, consider the function f(x) = e". (a) Find P3(x), the third-degree Maclaurin pol...

A: Find your answer below 

Q: Write the equation of a sine function that has the given characteristics. The graph of y = Vx, shift...

A: The graph of y=√x shifted 4 units to the right

Q: Analyze and sketch the following curves. Indicate critical points and label your graph. I. 1. у%3D 1...

A:

Q: Find the x vals of all pnts where the function over the given interval has any relative extrema & fi...

A:

Q: ACTIVITY 1 Direction: solve and analyze each of the following problem in neat and orderly manner. Do...

A:

Q: Solve eX =9 for x. ... The solution is x (Type an integer or decimal rounded to four decimal places ...

A: Consider  ex=9

Q: 1. f(x)=sqrt(x-5);x≠5 and g(x)=x+3. find the domain of (gof)(x) a. all real numbers greater than 5 ...

A:

Q: Test the series for convergence or divergence. 3.7.11 (4n – 1) · (5n – 1) * 4. 9. 14... n=1 Part 1: ...

A:

Q: Consider the surface given z = f(x, y) = e*#v. Then, af 1. af 2. dy 3. The equation of the tangent p...

A:        

Q: dy re: (e + e-")- = y² (separation of variables) da

A: Given that: (ex+e-x)dydx=y2

Q: If f(r) 5 sin (2²), find f'(x). Find f'(0.5).

A:

Q: y" – 2y' + 2y = 0, y(0) = 1, y (T) = 1 -

A:

Q: Evaluate the ff: 23 D S fda, given f 6)- and acx) F 1 3+3 X

A: Let's find. 

Q: Find the distance between (1, 2, 3) and (-1, 3, 4)

A: Consider the points  1,2,3  and   -1,3,4  

Q: A doctor prescribes 100 milligrams of a therapeutic drug that has decayed to 40% of its original qua...

A: We use radioactivity decay law 

Q: Write -4 +3i in polar form A) 5 L 38.87° B 5 L<216.87° (c) 5L<323.13° D) 5 L<143.13°

A:

Q: 23.) A spherical balloon is inflated with gas at the rate of 800 cubic centimeters per minute. How f...

A:

Q: 22.) Find the slope of the tangent to the curve, y = 2x – x? + x³ at (0,2).

A:

Q: Find the Taylor series generated by f at x = a. 4 f(x) = , a=D1 %3D O A. 4 E (-1)"(n + 1)x" n 0 O B....

A:

Q: ACTIVITY 1 onl Direction: solve and analyze each of the following problem in neat and orderly manner...

A:

Q: Use the Ratio Test to determine if the following series converges absolutely or diverges. 00 n!3 Sn ...

A: Given series ∑n=1∞(-1)nn2(n+8)!n! 35n

Q: Differentiate. y = In (8x? -7x+8) y':

A:

Q: Sketch the graph and find the area bounded by the curves for y = 2x² and y = x² + 4

A: Given query is to find the area bounded by the curves.

Q: Given the side length c = 9 and the angle A = 47° on the triangle below, find the lengths of a and b...

A:

Q: Consider the power series (-1)"(2æ – 5)" n=1 Vn + 5

A:

Q: Determine the general solutions of the following non homogenous linear equations. 1. (D² + D)y = sin...

A: As per the instruction, we will be answering the first one. For (1),         D2+Dy=sin x The charact...

Q: lim 2 tan 2/ TC 2. 8IN

A: Solving the problem by finding the value of the limit.

Q: Use a calculator to solve the following equation for 0 on the interval [–90°, 90°]. 3 sin (0) 4 Roun...

A: We can find the value in the interval as below.

Q: 3. Complete the table for the function: y 21 Xy a 0 b 4 C 6 a= b= 2.

A: Topic = Function a=2 b=4 c=5

Q: Show that the given differential equation is exact and then solve the given IVP: (3y² – t² \ dy t 0,...

A: Given equation 3y2-t2y5 dydt+t2y4=0   ; y(1)=1

Q: Determine whether the series converges, and if so find its sum. 00 1k+2

A: Given that: ∑k=1∞4k+27k-1

Q: 21.) Give the slope of x'y=8 at the point (2,2).

A:

Q: Question 9 What is the exponential form of the complex number 4 + 3i A) 5 e 153,130 B) 5 e 136,870 C...

A:

Q: Let y be the part of the curve y = x² running from (-1,1) to (2,4). Calculate xy dx + (x + y) dy.

A: (1)

Q: n(-7)" Use the ratio test to determine whether converges or diverges. n! n=7 (a) Find the ratio of s...

A:

Q: Find the Taylor series at the given center. f (x) =x³- 5x, a=2

A:

Q: Find the differential of each function. (a) y = x2 sin(4x)

A:

Q: A particle moves along a straight line so that s = 3t^3 – 4t^2. Find the time (in secs) to attain ma...

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Q: Use the substitution method to find the power series representation of the function using the formul...

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Q: Show that the coefficients of the given differential equation are homogeneous and solve the give dif...

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Q: Use Green's theorem to evaluate s cy? oy)dx + (y²rlo4") dy where Cis s hoon belbw, N y = 2-x² G,1)

A: The given path contains 4 curves: C1:  from (1, 1)  to  (-1, 1)C2:  from (-1, 1)  to  (-1, -2)C3:  f...

Q: Calculate SN given by Simpson's Rule for the value of N = 6. dx x4 + 8 (Round your answer to five de...

A:

Q: (x – 2)(x + 2)(x +1) (x+ 3)(x+1)

A:

Q: the value of tan-(tan m) where m = radians? If undefined, enter Ø. your answer below:

A: Please refer to the image below

Q: In the 1990s, significant numbers of tourists traveled from North America and Asia to Australia and ...

A:

Q: x*+2х+3

A: We can find the integration as below.  

Q: cos x dr 4 sin x

A:

Q: gent subsequer O an = (-2)" O an = 1+ (-1)" · 10(-1)"-n n sin () %3D O an = O an = 1+2· (-1)"

A:

Q: y" + y' + 7Y e (sin 3x - cos 3x) (undetermined coefficients)

A: Given