Ho Find (dy/dx) for: tanh-¹(x y) + e(x+y) 5 cos(y)

Q: 4. Evaluate √x² - 2x + 1dx

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Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Given:      fx,y=9y2e6x The gradient of a function z=Fx,y is denoted by ∇Fx,y The direction of the…

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

A: Let's find maximum and minimum rate of change.

Q: = [ (23a)" e1¹0z da, Consider the integral n is a natural number greater than 1, When applying…

A: Given problem:- J = ∫ (23x)n e10x dx

Q: S dt e2t 6-2e²t

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Q: When applying substitution (u=tan(x)) to [s sec¹(x) tan(x) dx is equivalent O a) [ (u³ + u) du O b)…

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Q: un J-2√√2+x (c) Let u₁ = x² - y² and u₂ = x³ - 3xy². Show that u₁ and u₂ are harmonic functions and…

A: Solution

Q: Problem 1 Give a general solution of the differential equation y""+3y"=0. m

A: As per guidelines we have to solve one question Please repost other questions again

Q: 7- cos y dx + (x siny-cosy)dy = 0 8- (1+ y²)dx + (2xy + y² + 1)dy=0

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Q: The result of A-(B x C)+ Ax (B.C) may be: × O 21+3j O D 21+2j-k O

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Q: e. The line through (1,1,1) parallel to the z-axis. f. The line through (2,4,5) perpendicular to the…

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Q: Describe the transformation that can be applied to the parent function g(x) = e to obtain the graph…

A: Explanation of the answer is as follows

Q: A company determines that its weekly online sales, S(t), in dollars, t weeks after online sales…

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Q: Given functions f(x)=√x + 13 and m(x) = interval notation. Domain of f(x) m(x) Domain of f(m(x)) :…

A: To find out the domain of the functions.

Q: Find the given limit. 2 X-4 lim 7-x X--7 Select the correct choice below and, if necessary, fill in…

A: Find the limit

Q: Sketch the function and Ensure you are finding everything you can about the function (ie.…

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Q: 2. Compute [²√x by first changing it to polar coordinates. 1 -√3x (x² + y²) ² dy dx

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Q: 3) Find equations for the lines: a. The line through the point P(3,-4,-1) parallel to the vector…

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Q: 2-¹ {; -} 18-7 s²+48 +9, In the process of calculating you obtain an equivalent expression given by:…

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Q: Given f(x) = = Domain: 1 x + 2 and g(x) = 6 X - 4' find the domain of f(g(x))

A: We have to find the domain

Q: 3. Find the integrating factor e∫Pdx then find the general solution. 2(y - 4x2)dx + xdy = 0

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Q: Y=t-2√√√x + X Find domin and ringe

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Q: Find the differential equation such that y(x) = c₁(x-4)³ + c₂ln(x-4) (x-4)² 64x²d²y + 2 +60x+y=0 dx²…

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Q: Find the integrating factor e∫Pdx then find the general solution. 2x(y - x2)dx + dy = 0

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Q: Concentration of a Drug in the Bloodstream The concentration of a certain drug in a patient's…

A: Explanation of the answer is as follows

Q: A number x is selected at random from the interval [4,20]. The probability density function for x is…

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Q: For the function f(x): - 5x² + x - 7, evaluate and fully simplify each of the following. f(x + h) =…

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Q: Q3. Use the integral test to determine whether the series, n=1 divergent. 1 (n+1)√n+1 is convergent…

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Q: Find the point(s) on the graph of the following function where the slope of the tangent line is…

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Q: x TC Q2\ Find The Area under the curve Y= 4sine between X= and 2 X= π by the double integral method.…

A: Let's find area by using double integral method. Small mistake in given question, there should by…

Q: 3. Given u =(3, 10,-8) and v = (-1,6,4), a) find 3v--u

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Q: dy dx 3y x+1 || (x + 1) 4

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Q: Find the intervals where the function f(x) = 2cosx + 1/ sin2x, 0≤x≤ 2π is concave up.

A: Let's solve.

Q: Find the area bounded by the curve y = x + 3 and y = x²+x-13, from x=1 tox=3. a. 23 sq. units b. 20…

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Q: Given x³ + xy - 4x = 4: dy (a) Find by differentiating implicitly. Do not substitute for y. dx dy dx…

A: Explanation of the answer is as follows

Q: The graph of f (the derivative) is pictured below. Determine each of the following. (If infinite,…

A: As per our guidelines, I can answer maximum three sub parts of a question. Since there are four sub…

Q: 3 use the definition of latlace transforms to find £{+²H (E-5) } JINO

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Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

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Q: Solve the given differential equations: == 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = 2

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Q: 1 : In ( + 3) and g(x) = ₂ ² 9 ₁ x-9 Let f(x) = In

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Q: ) Find (dy/dx) for: tan-¹(x² + y) - eln(x³y) =

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Q: Find cosh² (t) sinh5 (t) dt.

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Q: (c) Find the Inverse Laplace transform of the function. 1 s² + s-5 H (s) = (s−2)² +3 s (s² + 2s + 5)…

A: Given H(s)=1(s-2)2+3+s2+s-5s(s2+2s+5)To find Inverse Laplace Transform.

Q: Consider the function f(x) = x²-4 x²+2x-8 (a) Find the x and y intercepts of f(x) (b) State the…

A: Explanation of the answer is as follows

Q: Find the directions of maximum and minimum change of fat the given point, and the values of the…

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Q: te the function for the given values of 3) [-2x+5, for x < -1 f(x)=x²-4, for-1 ≤x<3 for x ≥3 12, (a)…

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Q: If y = ecos(x) then y" + sin(x) y' +cos(x) =

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Q: -1₁ - S. -3√ 42² + +81(1+z)² dy .dz y = Z =

A: The answer is given below:

Q: Certain radioactive material decays in such a way that the mass remaining after t years is given by…

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Q: Consider £ {y(t)} = Y(s) when solving the following equation: ty' (t) + 23ty(t) = 0 con y(0) = 0…

A: L