Exercise: Find af af дудх for f(x. y) = sin xy² x²+1

Q: Let f(x) = 3x(3 − x)²

A: The given function is ;f(x)=3x(3-x)2Find the slope of the function and find the equation of the…

Q: Compute In (7x) x4 S dx.

A: given integration

Q: Using the table of standard transforms, find the inverse Laplace transforms of the following…

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Q: (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0

A: The given differential equation is

Q: Use linear approximation, i.e. the tangent line, to approximate 18.22 as follows: Let f(x) = x² and…

A: f(x)=x2, x=18Approximate 18.22.

Q: Use Stokes' theorem to evaluate F. dr where C is oriented counterclockwise as viewed from above.…

A: Given that a function f and we evaluate integral use stokes' theorem.

Q: 1 (sec hr)2 1+tan ha 6 B=? +0 B e² +1 da = A + ln- (sec hx)² dx = Apen B e²et letanhx

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Q: If 0 < p < 1 then the integral is equal to: Ор 7- 82

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Q: Suppose F(x, y) = (2x – 2y, 6xy) and C is the line segment starting at (3, 0) and ending at (5, —4).…

A: The line segment C is defined by its two end-points:(3, 0)(5, -4)The equation of the line segment…

Q: Find the area of the region under the graph of f(x) = e-x/2 from x = 6 to x = 10. 1 eº (e¹ - 1) O e…

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Q: You now have the bacteria needed to create the fuel. "Computer, what is the next step in this…

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Q: Find the volume of the solid graduated by revolving the area bounded by the given curves about the…

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Q: A square based box is to be constructed such that its volume is exactly 1.8m³. The following…

A: Since you have posted multipart questions i can do first three subparts as per our company…

Q: Evaluate π/4 S [" In x cos 2y dx dy

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Q: For the given cost function C(x) = 48400 + 300x+x², =

A: C(x)=48400+300x+x2

Q: Determine whether or not the vector field is conservative. If it is conservative, find a function f…

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Q: The area of the bounded region enclosed by y= x³ and y = O True O False 4x is given by ²₁44 - x³ dx.…

A: To determine whether the following statement is true or false.The area of the bounded region…

Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x,…

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Q: Find the length of one arch of the cycloid = 5(t — sin(t)), y = 5(1 — cos(t)). - X

A: Given that,.Now,

Q: kindly answer it

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Q: Graph both the sequence of terms and the sequence of partial sums on the same screen. Use the graph…

A: Solution is following in step 2.

Q: Practice Problems: Find the CENTROID of the region bounded by the given set of curves. 1. x = −y² +…

A: The centroid of the region is bounded by the given set of curves. and the y-axis.

Q: Using the Law of Sines to solve the triangle if ZA = 43°, ZC = 70°, b = 11: LB is degrees; a= You…

A: By using the Law of Sines to solve the following triangle.

Q: Find the area of region enclosed by x = t-t², y=t- t¹, 0 ≤ t ≤ 1 using Green's Theorem.

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Q: 3. 2(x-y +2) dx +x(x - 2y +2)dy = 0

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Q: The average value of v(x) equals 4 for 1 ≤ x ≤ 5, and equals 15 for 5 ≤ x ≤ 8. Find 8 (³ v(x)dx = 32…

A: Let a function f( x ) Average value of the f( x ) in interval [ a , b ] is given as follows Average…

Q: Use implicit differentiation to find the equation of the tangent line to the curve xy³ + xy = 12 at…

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

Q: When a model rocket is launched, the fuel burns for a few seconds, accelerating the rocket upward.…

A: We have to find the velocity and time from the given graph.First we will conclude information from…

Q: Determine whether the line _x=3+8t, y=4+5t, z= −3−t is parallel to the plane x-3y + 5z = 12.

A: The line  and the plane  are parallel if

Q: (x) = √√√√x, a = 4, n=2, 4≤x≤ 4.5 ) Approximate f by a Taylor polynomial with degree n at the number…

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Q: The purpose of this discussion is to use curve-sketching Techniques. Consider the rational function…

A: Given that a function:-  f(x) = (x2 + x - 6)/(x2-x-12).  We find the domain of f(x)  and intercept…

Q: 5400 at 7% compounded quarterly for 5 years

A: Compound Interest Formula is given as follows Where A is the final amount after time t P is the…

Q: A company has found that the number of items sold, x, depends upon the price, p at which they're…

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Q: Locate the stationary points of the function. f(x) = (z-1)² +6 f'(x) = Find when f'(x) = 0, hence…

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Q: (a) Calculate lim f(x) if it exists. If it does not exist write “DNE”. x→4 lim f(x) x →4 - (b) Find…

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Q: Find the equation of the tangent line to the curve y = Oy=3e-³x+3e-² Oy=-3e-³x+6e-¹ Oy=3e ³x-3e-²…

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Q: Consider the plane curve defined by the parametric equations x= x(t) and y = y(t) where x(t) and…

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Q: If 5 11 f(x)da = 9 then the average value of ƒ(a) on the interval [5, 11] is 3/2. True O False

A: Given a statement  if then the average value of f(x) on the interval  is

Q: If the demand function for pills is p = D(x) = - 4x + 47 and the corresponding supply Function is P…

A: To determine the producer surplus at the market equilibrium point, we first need to find the…

Q: series. 36 + 12 + 4 + find the sum of the infinite geometric 4 4 + + 3 9 -810 + 540-360+240-160+...

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Q: Use Laplace Transforms to find the solution to the initial value problem y′ − 3y = u1(t)((t − 1) +…

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Q: 14 Find the point (s) on the ellipse 4x² + y² = 4 that are farthest from (1,0). (Show your work)

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Q: Integrate ƒ (x, y, z) = xyz along the curve r(t) = 2ï +(3 sint) j+(3cost)k, 0≤t≤ 2

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Q: Let F = LF C is the triangle with vertices (7,0,0), (0,7,0), and (0,0,7), oriented counterclockwise…

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Q: ƒ'(x) = = x - 1 (2 - x)³ f"(x) = = 2x - 1 (2 - x) 4

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Q: 5. (xy + 1)dx + x(x + 4y - 2)dy = 0

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Q: A: The plane Ax - By + Cz - 1 = 0 pass through non collinear points (1,1,0), (2,0,-1) and (2,9,2).…

A: Given that the plane  passes through non collinear points

Q: 1. Evaluate each limit: lim x+5 3x x² +1

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Question 2. Find the global maximum and global minimum of the function f(x) = x²eª on the ellipse x²…

A: To find: The global maximum and global minimum of the function on the ellipse .

Q: S.Sº Which one of the following Riemann Sums approximates da using 4 subintervals of equal x length…

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