Evaluate the surface integral [[ 3. where S is the portion of the plane x + 2y + z = 2 lying in the first octant. z do,

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x² - xy lim (x,y) → (9,9) √x √4

A: The given limit function is lim(x,y)→(9,9)x2-xyx-y  We have to find the limit value .

Q: Use Integration by Parts to find 2x tan-¹(x) dx. df O r² (tan(x)) — 2(tan-'(x)) +C O r² (tan-¹) +…

A: Integration by parts

Q: 4) Set up the partial fraction decomposition of (x− 1)(x+2)(x² +1) Do not solve.

A: Given; (2x3-1)/[(x-1)(x+2)(x2+1)2].

Q: Given that f(x) (a) f(g(0))= (b) g(f(0))= = 8x + 8 and g(x) = 8 x², calculate -

A: We have  f(x)= 8x+8 and g(x)=8-x2

Q: Find the most efficient substitution for the integral textbook. Enter f(2). Answer: e²x dx 1+Ax /₁…

A: we know   ∫11+x2dx=tan-1(x)+cdexdx=exI=∫e2x1+e4xdx

Q: Please answer the question. Asap. Thank you.

A:

Q: Let C be the curve f(x) = the length of C, as follows: = In(x) 2 4 between 1 and x = e. Calculate…

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Q: Let f(t)= e¹t2 + cos(3 t) e5t then е L{f(t)} = ? O F(s) = F(s) = 2! (S-1) (s²+9) (s-5) F(s) = + 2! S…

A: Use property of Laplace

Q: If sec(a) O 4/6 6/4 = 250 88 88 13 find the value of cot(a) where a terminates in the first…

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Q: Textbook Videos [+] Farmer Jones, and his wife, Dr. Jones, decide to build a fence in their field,…

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Q: A farmer finds that if she plants 65 trees per acre, each tree will yield 70 bushels of fruit. She…

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Q: 4x² 16x – 9y² – 72y — 164 = 0

A:

Q: 19) Determine a particular solution of NHLDE (3D³-2D2-3D+2)y=10 b) Up = 5 10 3 d) p 10

A: Given differential equation ( 3D3 - 2D2 - 3D + 2 )y = 10 as we know that yp = perticular solution

Q: Newton's Law of Cooling. The initial temperature of an object is 37.8 degree C. If it took 10…

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Q: x = The position of an object at time t is given by the parametric equations y = 5t² + 1 Find the…

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Q: Question Which of the following is the Laplace transformation O L {f(t)} if f(t) = (cos(-3t))² ? s²…

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Q: The percentage of movie advertising as a share of newspapers' total advertising revenue from 1995 to…

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Q: Given f(1) = 5, fƒ'(1) = 7, if g(x) gʻ(1) = 0 x² 2 3f(t)dt then

A: Given that f1=5, f'1=7. We have to find the value of g'1 using gx=∫ax23ftdt.

Q: Suppose that f'(x) = e for x < 0, and f'(x) = x + 1 for x ≥ 0. Find fƒ(1) - f(-1). Round your answer…

A: we will find the required.

Q: the answer is wrong it is supposed to be negative after x!!!

A: yes you are right   according to Taylors polynomials f(a)=f(a)+x-af'(a)+(x-a)22!f''(a)a=0

Q: Simplify the trigonometric expression.   1 + tan(A) sec(A)  Step 1 Write tan(A) in terms of sine and…

A: Given query is to simplify the expression.

Q: Evaluate the limit, or type "DNE" if the limit Does Not Exist: x²-xy √x-√Y lim (x,y) → (3,3)

A:

Q: spe Let T be the linear transformation whose standard matrix is 1-2 3 A = -1 3-4 -7 -5 -6 Determine…

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Q: Determine the average value of f(x) over the interval from x = a to x=b, where f(x) = - 1 X The…

A: formula for average value is  favga=1b-a∫abf(x)dx∫1xdx=lnx

Q: The graph of f',the derivative of the function f, is shown below. Which of the following is true? +…

A:

Q: 17) The expanded form of the differential operator D(rD-1) is a) xD² b) D² - z e) zD² + 1 d) zD² -1

A: Given query is to find expanded form.

Q: Find the length of the spiral r=0², 0≤0≤ √21. The length of the spiral is (Simplify your answer.)

A: Topic = Integration

Q: (b) n=1 3 2n-1

A:

Q: Find, or approximate to two decimal places, the described area. The area bounded by the functions…

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Q: <++++ -10-9-8-7-6-5-4-3-2 10- 9 8 Provide your answer below: it + 7 6 5 4 3+ 2 -5 (0,2√6) -8- -9 ++…

A:

Q: Perform the matrix operation. Let A = °[4 4 -3] -16-4] O 0-31 [0-12] O [d [-2 2 -8-8 O -4 -3 0 -12]…

A: Given query is to perform indicated matrix operation.

Q: Which of the following is NOT true about the exponential function y = a where a > 1? O Its range is…

A: The domain of exponential functions is all real numbers. The range is all real numbers greater than…

Q: Solve for 8: cos²0 (1 + 2cose) = 0 on the interval 0 sesn. = 06-1플 100-10. ㅠ 3 품 품 3 3 00-27, 0.ㅠ…

A: To solve the trigonometric equation cos2θ1+2cosθ=0 ; 0≤θ≤π.   As the general solution of the…

Q: A brick wall makes two legs of a right angle, one 32 feet long and the other 72 feet long. A…

A: Let's find maximum area and it's dimensions.

Q: ure 1 to evaluate the trigonometric function. he exact answer. B 16 Figure 1 6

A: Given query is to find the value of tanA.

Q: If C is a constant, and f(x) = | ƒ(x) = ln(Cx³), find and simplify the third derivative: ƒ'''(x) =

A:

Q: (Σ n=1 (−1)″r. 2n

A: NOTE: Refresh your page if you can't see any equations. . the given series is  substitute n+1 for…

Q: the function y = 2x+3 x+2 do the following. Asymptotes ntervals of Increase or Decrease Local…

A: We will find the required

Q: Given that f(x) = x² − 13x and g(x) = x + 6, find: a) (ƒ + g)(4) = b) (f g)(4) = = c) (fg) (4) = d)…

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Q: Find the one-sided limit (if it exists). (If the limit does not exist, enter DN 2x sec X lim…

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Q: O Find the points at which the polar curve r = 4cose has horizontal tangent lines.

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Q: 1) Let an = 3+2(n-1). Write the first 5 terms of an. Find Σ10% ακ k=1

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Q: 2) Consider the function: f(t) = 0, e-kt, 0 < t < 1 1 ≤t. A) Use the definition to find F(s) =…

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Q: Given the vectors →u=⟨−3,2⟩ and →v=⟨−6,11⟩, find the angle (in degrees) between them. Angle between…

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Q: What is 1 da x√9x² - 9

A: Given,            ∫dxx9x2-9

Q: A student council consists of 8 students, with 3 women and 5 men. a. In how many ways can a…

A: Members in student council = 8 Number of women in council(w) = 3 Number of men in council(m) = 5

Q: Evaluate the integral f(2x + by making the substitution u = x² + 3x + 8. 2x + 3) (x² + 3x + 8) ¹dx +…

A: Evaluate the integral. By making the substitution u= x2 + 3x + 8

Q: Let C be the curve f(x) = = the length of C, as follows: (2) Show that √1+ f'(x)² In(x) 2 1 2x x 2 4…

A:

Q: The formula V = kr4 is used to predict how much the radius of a partially clogged artery has to be…

A: Given V = kr4where V = volume of fluid flow k = constant r = radius

Q: ) If we would like to solve the following differential equation by variation of parameters 3x then…

A: We check whether the statement is correct or not .