For what value of x does the function g(x) = x³ – 2x² attain the point of inflexion? A. x = -1 ن نے C. x = -2 A OB OC OD B. D. x = 0 x = 1

Q: Q5. Find the integrating factor of the differential equation.< (cos³x)y dy dx tan ¹(sin x + cosec x)…

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Q: -3 6-2x 5. f 2 dy dx 6. -2y 2²²(x² + y²) dx dy

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Q: Let dx dt x(t): = 3et 2. Find x(t) such that x(0) = 2.

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Q: Use the divergence theorem to find the outward flux of F across the boundary of the region D.…

A: As per as our guidelines i can answer only one question please repost remaining questions.

Q: Find the work done by the force field F in moving an object from P to Q. F(x, y) = e-i-xe- j P(0,…

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Q: particle is moving with the given data. Find the position of the particle, s(t). a(t) = 2t + 9, s(0)…

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Q: 33. y = ln (sin t+1)

A: given y=lnsint+1formula used (i) d dx(lnt)=1t(ii)  d dt(sint)=cost(iii)  d dt(constant)=0

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Q: 8. Evaluate the triple integral of xyz dz dy dx for the following limits: z from 0 to y, y from 0 o…

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Q: A cylindrical can is to be constructed to hold 600 cubic centimeters of soup. The material for the…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

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Q: Compute the derivative. Use logarithmic differentiation where appropriate. d dx (2x) 4x d dx (2x)…

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Q: -8x + 9x Let f(x) = x3 F(x) = Find F(x), where F(x) is the antiderivative of f(x) that passes…

A: fx=-8x6+9xx3 fx=-8x3+9x2 fx=-8x3+9x-2 F(x) is the antiderivative of the function f(x)  Fx=∫fx dx…

Q: Evaluate c (xy + y +z) ds along the curve r(t) = 2ti + tj + (9 − 2t)k, 0 ≤t≤ 1. Sc (xy + y +z) ds =…

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Q: Suppose the rectangular coordinates are (-1,-√3). Find two sets of polar coordinates for the point…

A: Rectangular coordinates -1,-3 To find Two sets of polar coordinates

Q: 33. Let g be the inverse of f(x) = x³ + 2x + 4. Calculate g(7) [without finding a formula for g(x)],…

A: Let g be the inverse of fx=x3+2x+4.

Q: Determine two co-terminal angles, one with positive measure and one with negative measure, to 0 = 5.…

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Q: Evaluate cos (35 6

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Q: The fourteenth value of a geometric progression (GP) is 45. Determine the first value of the GP. O…

A: We need to find the first term of geometric progression with the given data.

Q: I am confused on the riemann computing part. 2*4^2+3*4+6 Where did we get the 2 to multiply it by…

A: I understand your doubt  . So we have the following integration . ∫28f(x)dx

Q: Solve: 2 (4³) + 9 = 169

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Q: Let f(x) = x3 - 2x2 - 9. If f(3) = 0, then (x-3) is a factor of f(x). O True O Fals

A: fx=x3-2x2-9

Q: Find the area contained between the line y = x and the curve y = x².

A: The line is y=x and the curve is y=x2

Q: Complete the table for the radioactive isotope. (Round your answer to two decimal places.) Half-life…

A: Isotope  Half-life (in years) Initial quantity   amount after 4000 years 239PU 24,100 ...g 2.6 g…

Q: Evaluate xy dx + (x+y)dy along the curve y=x² from (-2,4) to (1,1). с

A: Expression I=∫cxydx+(x+y)dy Along the curve, y=x2 From (-2,4) to (1,1)

Q: A B C D 2/3 43 Let R be the region in the first quadrant bounded by the graphs of x = y² and x = 2y,…

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Q: Find the value of f(0) when f'(x) 4e²x, 2x = f(ln(2)) = 3.

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Q: Consider the equation y=x^3-16x^2+2x-4 a. Determine all intervals over which the graph is concave…

A: For a function y = f( x ) For concave up f''( x ) &gt; 0 For concave down f''( x ) &lt; 0  Given…

Q: e linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

A: Thickness of paint = 0.01cm Diameter of hemispherical dome is 60 meter

Q: In which Quadrant does the terminal side of an angle whose measure is 0 = 4 fall? 3

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Q: 18) A sports company has the following production function for a certain product, where p(x,y) is…

A: Given: p(x,y)=2000x45y15wherep(x,y) is the number of units produced with x is the units of labour…

Q: a. Use implicit differentiation to find the derivative b. Find the slope of the curve at the given…

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Q: Use spherical coordinates. Find the volume of the solid that lies within the sphere x² + y² + z² =…

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Q: Use L'Hôpital's rule 1. lim x →+∞ sin 1 ~|8| 2 x

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Q: Use Cramer's Rule to solve each system. Show your matrix equation 3x + 2y = -26 5x - 3y = -18

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Q: Find the equation of they hyperbola with center (6,1); vertices at (4,1)(8, 1); and foci at (0, 1)…

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Q: Find the exact location of all the relative and absolute extrema of the function. (Order your…

A: To find out the maximum and minimum.

Q: Solve the separable differential equation for u Use the following initial condition: u(0) = 10. u=…

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Q: The Spacecraft Password Entering the room, you see the spacecraft. Finally, you will be able to…

A: Derivative of a function is  -8sinx. F'x=-8sinx

Q: 4: A radioactive substance decomposes at a rate proportional to the amount present. If one-half of…

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Q: Use Euler's method with step size 0.5 to compute the approximate y-values y1, 92, 93, and Y4 of the…

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Q: 11. Suppose water is flowing into a tank where the base of the tank is a octagon with side length x,…

A: a) The domain of the volume of the water as a function of the height of the water is the set of all…

Q: Evaluate sec(). Give your answer in exact form (no decimal equivalents).

A: According to bartleby guidelines we supposed to do the first one of multiple questions  kindly…

Q: Find the value of f(-1) when ƒ"(t) = 6(2t − 1) and ƒ'(1) = 6, ƒ(1) = 1.

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Q: 4. (a) Find the second derivative of the function f(x) = e-x². (b) Use the second derivative to find…

A: To find out the second derivative of the function, inflection points, and maxima and minima.

Q: x² - 9x³ x-00 6x³ + 4x Find Lim A. 00 C. 312 B. 0 0010 D.

A: limx→∞x2-9x36x3+4x To find the value of the limit.

Q: 21. Let f(x) = x² + x + 1. a. Show that f¹ exists (but do not attempt to find it). Hint: Show that f…

A: (22)  f(x)=x7+x+1we know d dx(xn)=nxn-1

Q: Car north = x miles , car east =x+4 miles. distance btw both = 20 miles

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