S S( 3x² +x³y)dxdy

Q: The orthogonal trajectory for x^ 2 =ce^ x^ 2 +y^ 2 is

A: Orthogonal trajectory

Q: Given a vector A = 3a, - 2a, - 16a, find its components normal to the plane 2x + 2y – z + 8 = 0 and ...

A: We have to determine component normal to the plane

Q: Let y – 8y + x² = 8. Use implicit differentiation to find the derivative. Find the tangent line at (...

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Q: Find (f-1)'(a). f(x) = 3x³ + 2 sin x + 3 cos x, a = 3 (f-1)'(a) = Need Help? Read It

A: Given:- f(x) =3x3+2 sin(x) +3cos(x)  To find:- (f-1)'(a) 

Q: The half-life of plutonium-239 is 24,360 years. If 10 g of plutonium is released into the atmosphere...

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Q: 1= y - 4y (-3, 3) z = 2y – y -1.

A: Given the query is to find the area bounded by the curve.

Q: Integrate: J 4xvx- 3dx

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Q: Evaluate the integral using the indicated trigonometric substitution. (Use C for the constant of int...

A: The given integral is: I=∫x3x2+36dx

Q: Activity 6: You are testing an electrical device which can be modelled by the following equations: I...

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Q: Suppose f is a one-to-one differentiable function and its inverse f-1 is also differentiable. If f(3...

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Q: y f 4 (a) f-1(2) 5 (b) f-1(5) 2 Enter an exact number. .........

A: Given graph of function, 2,5 To be found- f-1(2) f-1(5) f-1(6)  

Q: 10 y =x X log. Cax+1) logon Do

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Q: 43-46. Arc length Find the arc length of the following curves. 12. 4V2 3/2, 2t ), for 1 < t < 3 3 fo...

A: (46). The given curve is: r(t)=t, lnsec t, lnsec t+tan t ;          0≤t≤π4

Q: The figure shows an angle 0 in standard position with its terminal side intersecting the unit circle...

A: As x =r cosθ and y=r sin(θ)Point (x,y) lies on the circle and 'r' is the radius of the circle.

Q: Find the area of the sector of the circle. r= 28.35 ft, 0=24.401° O A. 345.28 ft2 O B. 171.14 f? O C...

A: We can find the area of the sector as below.

Q: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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Q: 152 CHAPTER 2 LIMITS AND DERIVATIVES temperature is 75°F. The graph shows how the temperature of the...

A: To find the rate of the change of the temperature after an hour.

Q: Differentiate implicitly e2zy = y³. Select one: О а. dy ye2ry 2y3 – xe?zy dx O b. dy 2ye2zy dx 3y2 О...

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Q: x2 y2 Q1) Write the equation of the ellipse+ = 1 shifted 4 units to the left and 3 - 16 9. units up....

A: NOTE: Refresh your page if you can't see any equations. . the graph of the given ellipse shited lef...

Q: If y= 4sqrt(9x^3+10), then y'=

A: according to our guidelines we can answer only first question and rest can be reposted. 

Q: Calculate the work W against gravity required to build a right circular cone of height 3 m and base ...

A: Here, height =h= 3m         base radius =r=0.9m        density = 600kg/m3

Q: the following. Show solution using the basic formulas.

A: Given that:

Q: a. use sum and difference identities to expand and simplify the following b. if g(x) = cos(2x) find ...

A: Here we have to use the basic sum and difference Angle formulae of trigonometric ratio

Q: In two or more complete sentences describe how to determine if the function f (x) = cos(x) is even b...

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Q: Find the extrema and inflection points of f(p) = 900 p - 30 p2 using derivatives.

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Q: please

A: Please refer to the image below

Q: - 2 lim,→8- х — 8 X

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Q: Logarithms as anti-derivatives. 4 ¤(In z)2 Hint: Use the natural log function and substitution.

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Q: The polynomial of degree 3, P(x), has a root of multiplicity 2 at x=5 and a root of multiplicity 11 ...

A: Given the query is to find the polynomial from the data provided.

Q: c) f (x) = -(0.75)4x+2 – 5

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Q: 1-3 please!

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Q: Direction: Find the derivative of the function. g(z) = (3 – 2") (zª - z + 1) Select one: g'(x) = -bx...

A: Given that: g(x)=(3-x2)(x3-x+1)

Q: (36 – x² \dx Evaluate the definite integral:.

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Q: Evaluate the integral. (Use C for the constant of integration.) 7 V 1- sin(x) dx

A: Evaluating the indefinite integral

Q: In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the f...

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Q: Select the function that is odd. f(x) = 3sin(x) f(x) = 3sin 2(x) f(x) = 3sin(x) + 3cos(x) f(x) = 3c...

A: We can find the odd function as below

Q: Sketch the region of integration and change the order of integration. -25 * " f(r, y)dydx S S f (x, ...

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Q: 1. y = V(x2 + 2) – x (x² +2) - х

A: Topic = Derivatives As per guidelines, At a time only one question can be answered out of different ...

Q: | Vx In x dx; u= ln x, dv = \x dx

A:

Q: 2. Let f be the function f(x)= arctan.x. (a) Find the third Maclaurin polynomial for f. (b) Approxim...

A: To find the maclaurin polynomial for f.

Q: Given that f(x) = x1°h(x) h( – 1) = 3 h'( – 1) = 6 - %3D Calculate f'( - 1).

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Q: 8. In triangle ABC, the point D is the midpoint of BC and E the midpoint of AC Vectors are marked as...

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Q: e2x dx 4 + e4x 13.

A: We have to find the integral of the given function. 

Q: Use the method for solving homogeneous equations to solve the following differential equation. 80 se...

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Q: II. Differentiate the following functions. Use any applicable method unless otherwise specified. 3) ...

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Q: How much work is done raising a 6 kg mass to a height of 18 m above the ground? (Use decimal notatio...

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Q: dz az C. Find ax and 4. 5x*y?z-y cos xz = 2x°+y

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Q: Question Evaluate the following integral using a trigonometric substitution. • 14 1 dx 36x2 – 1296 B...

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Q: Find the solution to dy/dt = 6y Satisfying y(1)=7 y = ?

A: Firstly , separate the variables and then integrate and solve. ∫1ydy = ln(y) +C ∫tn dt =tn+1n+!+C

Q: F.M: 15 1. Use second derivative test to classify each of the given critical numbers as a relative m...

A: 1. A) f(x) = e-x(x² - 3x + 1)  So, f'(x) = e-x(2x - 3) - e-x(x² - 3x + 1) So, f'(x) = e-x(2x - 3 - x...