df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

Q: 22 Evaluate. (n - 1)!, where n = 3 2 5 6

A: This can be solved as follows:

Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions

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Q: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

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Q: 4 Which of the following is the correct expansion of (3x - 3y)2? 9 x2 - 18 xy + 9 y2 9 x2 - 9 y2 9…

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Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: The integral dx – 4 3 1 Vx2

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Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: Drag each set of column entrles to the correct locatlon In the matrix equation. Not all sets of…

A: This problem gives us the system of linear simultaneous equations. This system can be represented by…

Q: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…

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Q: can you say about the series a, in each of the following cases? |an+1 lim n- c0 (a) an absolutely…

A: We have to find the convergent test

Q: Use substitution to convert the integrals to integrals of rational functions. Then use partial…

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Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: 19. The region bounded by f(x) = -4sinx , x = n ,x = 2n, and y = 0 is rotated about the y-axis. Find…

A: This question can be solved using the concept of shell method.

Q: Find the length of the curve 7(t) = (4 cos(3t), 4 sin(3t), 4t) for – 4 <t < 2 Give your answer to…

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Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…

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Q: Σ nº +1 n=1 aluate the following integral. (If th dx x9 +

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Q: 1, g(z) VI+1 find the domains of (fg)(r) and (4)(). Is 3. If f(r) = VT (f9)() = V-1?(20 p) %3D Hinti…

A: Find your answer below

Q: 7. Lonsider the plane through the three polnts Po(1, 0, 0), Pi(1, 1, 0), P2(0, 1, 1). 7.1. Find an…

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Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

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Q: Two posts, one 8 meters high and the other 12 meters high, stand 15 meters apart. They are to be…

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Q: the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: Jx In x dx S x

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Q: The functiion?n f(x)=/x) is odd or even?

A: Explanation of the answer is as follows

Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: Green theorem satisfied if the region C is closed True O false O

A: Greens theorem

Q: * the differential equation (x+y)dy+xdx=o is Homogeneous equation None of the above exact equation…

A: A detailed solution is given below.

Q: George was required to repay a loan that matured to $4,550 on August 14, 2015

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Use the data in the table below to answer this exercise. Number of Length seconds elapsed (in…

A: We need to determine if the area of rectangle increasing or decreasing.

Q: 6 What is the recursive formula for the sequence 3, -12, 48, -192, 768,...? a 1 = 3, a n = (a n -…

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Q: Suppose the position of an object moving horizontally after t seconds is given by the follow a.…

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Q: By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain:…

A: Please see the answer below.

Q: ()6 = K 3- 0- 0. 3 6.

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Q: 13. Let f(x)= x +3x-9x-13. (a) Find the intervals where f(x) id increasing and decreasing; (b) Find…

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Q: Prove: If s S6sn for all n EN and if both sn Land un+ L, where LE R, then t - L asn- 0 as well. That…

A: We are given that sn≤tn≤un  for all n ∈ℕ and both sn and tn converges to L∈ℝ.We need to show that tn…

Q: Ion 14 Based on the graph, find the set of all x-values for which the points P(x, y) are on the…

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Q: * the Area that lies inside r=3+2 sin 0 out side r=2 is

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Q: 12. Let y = 4x-4x+3. %3D (a) Find the equation of the tangent line to the graph of the function at…

A: Solve the following

Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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Q: What is the solution of D.E y" – 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: The series 7 2n E,(-1)" 4 n= is absolutely convergent. Select one: True O False

A: Root Test : Suppose we have series ∑ an .Define,                          L = limn→∞ an1n .Then ,(…

Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1