Given f(x,y)= x³(x²y³-2y²), find all of the first and second partial derivatives.

Q: luate the indefinite integral. /x0 dx x(ln (x))6 press numbers in exact form. Use symbolic notation…

A: Topic:- application of integration

Q: 2 S²₁ (x² x) dx ,

A: To find out the integration.

Q: Evaluation. Find the antiderivative of the following exponential expression. Show complete solution.…

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Q: Suppose that the graph of the velocity function of a particle is as shown in the figure, where t is…

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Q: 3. Evaluate III. 62² dV where G is bounded by x + 2y + 4z = 8 in the first octant.

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Q: Let R be the region enclosed by the curves y = x³ and y = 2x². If we revolve R about the line y =…

A: The equation of the curves are given by C1: y = x3C2: y = 2x2 The volume of the solid generated by…

Q: Find the values of xER for which the function given below is both defined and continuous. f(x)= In…

A: We need to find interval where function is defined and continuous.

Q: ©√ √16- Evaluate 1 √/16 - 16x2 -doc

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Q: 2. Consider the function F, that assigns x in its domain to x² - 1 F(x) |x-1| In its domain. a. What…

A: The given function is:Fx=x2-1x-1

Q: aximum profit is d to nearest integer.)

A: Topic:- application of derivatives

Q: Q.14) A sequence {()L a) converge to 3 b) diverge lecreasing

A: According to the guidelines, we are answering first question. Please repost the remaining.…

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim X-6 - (8 - 1—² x )…

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Q: •La Evaluate doc (1+√

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Q: H.W: Find the center of mass of a solid of constant density & bounded below by the disk R: x² + y²…

A: We need o find center of mass.

Q: For the function f whose graph is given, state the value of each quantity, if it exists. (If an…

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Q: ormation to answer the next question. The graph y = f(x) has undergone one reflection and one…

A: The given function y=f(x) undergoes 2 transformations to map the graph of y=f(x) on to the graph of…

Q: The marginal cost function for a commodity is given by C'(x) = x² + 2x + 1 where is the number of…

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 5? x+5 for -5≤x≤5 f(x)= 2x…

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Q: 4. Find the area of the triangle whose vertices lie at A, B and C whose coordinates are (4,1), (6,2)…

A: Given A(4,1), B(6,2) & C(2,-5)To find area of triangle:

Q: 3. Evaluate III 622 dV where G is bounded by r+ 2y + 4z = 8 in the first octant.

A: see below the answer

Q: Let R be the region enclosed by the curves y = x³ and y = 2x² The area of R using horizontal element…

A: The area of the region R enclosed by the curves, y=x3 and y=2x2 is given by Area=∫cdg(y)dy

Q: If f is a one-to-one function with f(1) = 5 and f'(1) = 7, what is the value of (F-¹) (5)?

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Q: (Laplace transform method) حل نمائید. (x) = = - [ (x -tut )dt 6

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Q: Find the regions where sinx sx.1

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Q: f (x) Sketch the graph of a single function that satisfies all of the following conditions. Use the…

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Q: 4. Evaluate the following integral using cylindrical coordinates: /16- *** z dz dy dr

A: A detailed solution is given below

Q: Evaluate the limit, if it exists. (If an answer does not exist, enter DNE.) lim (5x - 7) X→-6

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Q: A street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward the pole with a…

A: Given problem:- street light is at the top of a 13 ft tall pole. A woman 5.75 ft tall walks toward…

Q: x + 7x5 +15x4 +32 x³ + 23x² + 25x - 3 (x² + x + 2)² (x² +1) ² 2 dx

A: SOLUTION-

Q: (x²-x)dx

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Q: Determine whether the given differential equation is exact. If it is exact, solve it. (If it is not…

A: Let's solve given diffrential equation.

Q: 4. dx x4 √1+x² S=

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Q: Q.3) 3+4x+20 dx = a) Q.4) f sin5x sin4x dx = tan-(+) 4 a) = (cosx - cos9x 9 cos9x c) (cosx +°%$*) +…

A: ∫1x2+4x+20dx∫sin5xsin4xdx

Q: 4. fx(1-x) dx

A: Given ∫x(1-x)9dx

Q: Q2 Find the area of surface generated by revolving the curve y=√x+1,1< x≤ 5 about x-axis

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: б бу-гу2 -14-292 y dx dy

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Q: sin X SS € y dy dx

A: To evaluate the value of given double integral.

Q: The answer is Blank 1. Blank 1 Add your answer Let R be the region enclosed by the curves y = x³ and…

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Q: Find ay dx 3. 4. 5. y = 2e³x5tanhx y = xln(5x-2) y = sec ¹(log 7x)

A: Given :y=2e3x5tanhx4. y=xln(5x-2)5.  y=sec-1log7x

Q: Q.2) If a-1.a +3,a+12 are consecutive terms in geometric series, then the value of a is: 이쁨 이렇

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Q: 7) The solution of 5-2x = 3, is: a) In b)logs (3) d) logs (3)

A: As you mentioned question no 7 solved

Q: In how many ways can a team of 5 people be formed from a group of 5 Germans, 3 French, and 4…

A: Such prolems can be solved by using permutation .formula used in permutation is:-Prn=n!(n-r)!where…

Q: Write the equation to represent the distance of the rider from the vertical axis after t seconds?

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Q: (4-x²) dx

A: SOLUTION-

Q: Show that 0 π/2 st sin? xdx TT/2 [ 0 cos? rdr 2

A: A detailed solution is given below.

Q: 70- 60- 50 40 30 20 10- -10 10 20 30 40 10. Lamont is a lifeguard and spots a drowning child 40…

A: Given ,  Lamont is a lifeguard and spots a drowning child 40 m along the shore and 70 m from the…

Q: 2. Find the area bounded by curves: a. x = 1 - y² and y = -x - 1. b. x = 0 and x = 25 - y²

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Q: Evaluate the integral f sin²(3x) cos (3x) dx.

A: SOLUTION-

Q: Question # 01 Solve the following Differential equation using variable separation method. dy 1)…

A: Concept: Variable separable method: Any differential equation in which variables may be separated is…

Q: You've been asked to calculate the mass of a conical pile of sawdust measuring 7 meters high with a…

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