Find the first partial derivatives of f(x, y, z) A. Caution: ay/bx and ay/(bx) are very different, the former equals axy/b. Parentheses are your friends! af Әх af B. = ду с. = 2 arctan af дz Зу

Q: Question Evaluate the sum of the series Provide your answer below: n=0 n+1 53n-1 = n+1 53n-1 Enter…

A: Let's find sum of given series.

Q: Question Find the Taylor polynomial p2(x) for f(x) Provide your answer below: p₂(x) = 6e² at x = 1.

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Q: Using a proper substitution, Bernoulli's equation dy dx - 5 xy = - 4x²y4 will be reduced to the…

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Q: By determining f′(x)=limh→0 f(x+h)−f(x)/h​, find f′(8) for the given function.   f(x)=2x2   f'(8)=

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Q: Let f(u)=u^3 and g(x)=u=6x^4+2. Find (f o g)'(1).

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Q: A) f(x, y) = x² - y. Sketch 4 level curves of f(x, y).

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Let A = {Dirk, Johan, Frans, Sarie}, B = {Frans, Sarie, Tina, Klaas, Henrika), C = {Hans, Frans).…

A: A=Dirk, Johan, Frans, SarieB= Frans, Sarie, Tina, Klaas, HenrikaC=Hans,  Frans

Q: 7) f(tan(2x) + cot(2x))² dx = a) tan(2x) - cot(2x) + C_ b)tan (2x) - cot(2x) + C c) tan(2x) +…

A: tan2u=sec2u-1 cot2u=csc2u-1 ∫sec2mxdx=tanmxm ∫csc2mxdx=-cotmxm

Q: The equation 2 dy x² dx is a first-order linear differential equation. Select one: O True O False -…

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Q: x+6y=12x6₁ dx for the above linear equation if the initial condition is y(1)=2, then the constant c…

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Q: Find an equation of the tangent line to the graph of f at the given point. f(x) = √√√x, (25, 5) y =

A: Given query is to find the equation of the tangent.

Q: Evaluate the integral using cylindrical coordinates: fff³ 3 sin(x² + y²) dx dy dz

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Q: Each side of a square is increasing at a rate of 2 cm/s. At what rate (in cm^2/s) is the area of the…

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Q: Consider the following. x = 3 sin(68), y = 3 cos(68), Oses" (a) Eliminate the parameter to find a…

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Q: estion 1 E Consider ta linear differential equation xy' + 3y = 2x³. ) Find the integrating factor of…

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Q: 7 √x Find the total cost of the first 100 units (of increasing production from x=0 to x=100) A…

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Q: If r(x) x-intercept(s) = x+4 x²-4 ,find the following: a. b. y-intercept c. Vertical asymptote(s),…

A: given function is  rx=x+4x2-4

Q: A rectangle is to be inscribed in a semicircle of radius 2. What is the largest area the rectangle…

A: We have to use a concept of derivatives

Q: -1 Find the domain and the range of g(x) = sin-¹(3x + 1). Domain: Range: << ≤ y ≤ <

A: NOTE: Refresh your page if you can't see any equations. . as we know, the range of the sine inverse…

Q: 10. Find an area between two curves of the given equations. 3 y=-x ²³+2, y=x-3, X=-1₁ X= 1

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Q: (1) If f(x) = = x², then f'(x)= (3) If h(x) (2) If g(x) = - 6x5, then g'(x) = = 1 = I then h'(x) =

A: formula used is   dxndx=nxn-1d dx(constant)=0

Q: Given s(t)=3t2+12t​, where​ s(t) is in feet and t is in​ seconds, find each of the following. ​a)​…

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Q: lim x to infinity (9x-ln(x)) using l'hospital's rule

A: Evalute the limit using lhopital rule limx→∞ 9x-lnx

Q: Find an equation of the tangent line to the curve y = 8 arccos (즐) at the point (1,7).

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Q: 4. [ sin* r cos* adr

A: Given integral:- ∫sin3xcos5xdx

Q: Given the graphs of f (x) in blue and g (a) in red below, find the values of the following. (a) (b)…

A: Topic = Functions

Q: Express the location of the point (5,- Sorry, that's incorrect. Try again? 7π 7). given in spherical…

A: The given coordinate: 5,π6,7π6.

Q: 3) The price of a house is $500,000. You make a down payment of $50,000 and take a 30-year mortgage…

A: Let's find monthly payment, total amount paid and interest over the life of the loan.

Q: Consider the function f(x) = a) Evaluate f(0) and f(10) 2300 1+4e-0.03x b) What is the limiting…

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Q: STRUCTIONS: Differentiat respect to x) using any method. (x) = √x + 2x X _x) = x sin-¹(x)

A: Topic:- application of derivatives

Q: ind the inverse Laplace transform "(t) = L−¹ {F(s)} of the function (s) : = S- 8 s² - 8s + 20 -1…

A: Topic:- application of integration

Q: Evaluate Definite Integral √x ³² (2x² + 1) ªdx 2.

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Q: Prove that for all values of λ and u, the planes 4x 3y 5+μ a b 2x y 2z x 2y 2+2+²-1+2 ² 2 ²-2) = 0 -…

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Q: (x) x + 1/2 Ax² + Bx + C (x² + D)²

A: Topic:- application of derivatives

Q: In a certain city the temperature (in degrees Fahrenheit) t hours after 9am was approximated by the…

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Q: Find and prove the limit or deteremine if the limit doesn't exist: n/(n2n-5)

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Q: A box with no top is built by taking a 6-inch-by-6-inch piece of cardboard, cutting ?- inch squares…

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Q: 9. Find Indefinite Integral. Show all your work ( sinh (1-2x)dx

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Bernoulli's Equation Obtain the particular solution when x=3 and y=2: 2xyy' = y² - 2x³

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Q: The differential equation dy dx is a Bernoulli's equation. x² Select one: O True O False + (2 - x…

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Q: x 6) Find the average value of f(x) = √x²+16 on [0,3]. a) 1 b) WIT 3 WIN c) 3/3 d) 3

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Q: A piece of wire 10 m long is cut into two pieces. One piece is bent into a square and the other is…

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Q: Let f(x) ƒ'(0) = 5e +2 +e-¹.

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Q: d²r Differential equation: = -32k -32k dt drl

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Q: Evaluate the following integral in spherical coordinates. (x² + y² + 2²) 5¹² dv; D is the unit ball…

A: So for cartesian coordinate to spherical coordinate the conversion formula isx=r sinϕcosφ,…

Q: Find the arc length parameter along the given curve from the point where t=0 by evaluating the…

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Q: 4 Evaluate the integral. [*¹²5√1-cos40 de

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Q: Question 1 differential equation Consider ta linear xy' + 3y = 2x³. (a) Find the integrating factor…

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Q: city of Pittsburgh. The Revenue function R(q) for the program was given by: -0.00381q² + 62.476q 100…

A: Formula for average rate of change

Q: Sketch the curve of the following:  y = ex/x2 *please use handwriting not typing, I understand it…

A: Given thaty=exx2To sketch :graph of curveSolution…