51. 53. Soz z dz (a² + x²)³ dz LAVET A

Q: f(x) = 10 In(x), X [1, e]

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Q: Find the area of region bounded by the curve y= 2x3+ 8x2-10x, the x-axis and the lines x = -2 and…

A: Given query is to find the area of the region.

Q: Using the integration by parts method, / -13x e ¹+13e ¹+C 13e ¹ + C O 13x e¹ O-13c e 13e+C O 13r e 2…

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Q: An object is moving with a uniform acceleration a = 2ms ², determine the functions for: c) a)…

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Q: Find the absolute extrema of the function defined by x² + y² ≤ 36. Round answers to 3 decimals or…

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Q: Find the derivative of the function. 14 logg(t) t g' (t) = g(t) =

A: Topic = Derivative

Q: Below are the polar coordinates. Find the Cartesian Coordinates. (0,5) (-5,0) (0.-5)

A: The polar coordinate is 5, 3π2 We have to convert the Polar coordinate to cartesian Coordinates.

Q: y'-(3+anx)y = 1

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Q: 1. A chord passing through the focus of x²= 8y has one end at the point (-8,8). What is the other…

A: As per our guideline we can solve maximum one question you can repost other question

Q: Find the limit of the rational function (a) as x→∞o and (b) as x→→∞. 6x³ +9 x³x²+x+3 f(x)=

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Q: 112 15 A rocket is being launched. After a while, it rises at a constant velocity of 10 miles per…

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Q: Find the absolute maximum and minimum of f(x, y) = x² + y² ≤ 16. Please show your answers to at…

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Q: A particle moves with position function s = t4 - 4t³ - 8t² + 25t, t≥ 0 (a) At what time does the…

A: Given query is to find the time where velocity is 25.

Q: Consider the region bounded by the curve y = 27x − x 4 and the x-axis. Use the trapezoidal rule with…

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Q: -4y5+4 dy +4 ]d-

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Q: The graph of y = g(x), shown below, consists of straight lines and a semicircle. Using known area…

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Q: Find the area of the region included between the parabola py2 = x and the line x + y = p.

A: The solution is given below

Q: limx→5 x²+2x-35 x-5

A: We need to find limx→5x2+2x-35x-5.

Q: If z² = x³ + y²₁ dt dx dt Please give an exact answer. || - Provide your answer below: - dy 2, = =…

A: Topic = Derivative

Q: 2 32 32 0-22 3 y=5x-x2 y = x 1 2 3 4 (4,4) G

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Q: Find the area of the shaded region. 74 +3 sin(e) 0 414 D-1 41 2 32 2 41 2 EN

A: Topic = Area

Q: radius of a sphere increases at a rate of 7 centimeters per second. Find the radius of the sphere…

A: Given query is to find the radius of the sphere.

Q: the lcm of 21 and 54

A: To find out the LCM of the given numbers.

Q: Let 2 sinx+7cos y = 6. dr

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Q: 7) Solve the equation 2x²-3x-2 x+2 = 0 for x.

A: Given data÷ Solve the equation÷   2x2-3x-2x+2=0

Q: Please solve ASAP. Show your complete solution. 1. The length of latus rectum of a hyperbola is 18…

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Q: Which equation represents a tangent function with a domain of all Real numbers such that x = π +…

A: We have to choose the correct option from the given options according to the given information

Q: questions:the solution sets is a)f(x)0 d)f(x) ≥0

A: We can find solution sets.

Q: Using integration determine the area between the curves defined by y=x^2-2 and y = 2x +1 , how would…

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Q: The altitude of a triangle is increasing at a rate of 2 centimeters/minute while the area of the…

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Q: Solve for x in the triangle. Round your answer to the nearest tenth. 40°

A: For angle 40° Base= 6 and hypotenuse= x

Q: Find the values of the following limits. If a limit does not exist, type DNE in the entry box. 2x³ +…

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Q: Let f(x) = 2x – 1, g(x) = 3x, and h(x) = x^2 + 1. Compute the following: a. f(f(x)) b. g(g(x)) c.…

A: Given query is to find indicated composite function.

Q: Find the indicated partial derivatives of f(x, y) = 9x³y² using the limit definition. The limits…

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Q: Given the equation y The amplitude is = The period (exact answer) is: The horizontal shift is: The…

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Q: Order One Differential Equations Solve the ff. DE Equations 1 3. (2x+3)y' = y + (2x + 3)² When x=…

A: As per our guideline we can solve maximum one question you can repost other one

Q: How do we call a function that is not a polynomial?

A: Topic = Function

Q: 60. 2 S.² u du 0 u' + 1

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Q: Let F(t) = (4t+2, - 4e*, 2e-4). Find the line (L) tangent to r(t) at t = 3. L: (x, y, z) - +t

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Q: an more work be shown on how to solve this

A: By using a scalar projection to find the shortest distance from the point 1,-2, 5to the plane given…

Q: Given e f* f(x) dx. evaluate f(x) = ²+1 HIN if 0<x< 1 if 1 ≤ x ≤ 3,

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Q: 4 g(x) 3 N 2 1 2 3 -1 0 4 5 6 7 x f (x) f'(x) -1 3 6 2 -4 5 3 4 -2 7 0 1 9. The functions f and g…

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Q: ) An object with a temperature of 75°C was stored in a room with a constant temperature of 20°C.…

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Q: Suppose sin(0) = -and that 0 terminates in Quadrant IV. Fin a) tan(0) b) cos(0) 2 D 13 Ag 1+ it

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Q: lim-→-1 O 0 0-2 0 - 12/1 x²+3-2 x+1 O None of the above =

A: To evaluate the following limit.limx→-1 x2+3-2x+1

Q: y' = x - 2y cot(2x)

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Q: In(a) = 2, ln(b) = 3, and ln(c) = 5, evaluate the following: (a) In () = (b) In √b¹c²a-2 =

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Q: S√8x³ +36x² +54x+27 dx

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Q: 4 The same capacitor circuit is now charged up to 12V and the instantaneous voltage is_v=12(1-e²²) .…

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Q: Find the slope of y= 1-x x² +1 at x = -4.

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…