Find the second derivative of fx Fx= -4/square root x + 4x3

Q: Find the directional derivative of f(x, y) = √√xy at P(3, 5) in the direction of Q(3.920, 0.795). 1.…

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Q: Solve the given differential equation by separation of variables. (ey + 1)²e-y dx + (ex + 1)²e¯× dy…

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Q: The growth rate of a town's population after t years is P'(t) = 420 t². If the town's current…

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Q: 4. At x = 4, the function f(x) = (x², x ≤ 4 (4x, x>4 A. continuous but not differentiable B.…

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Q: For the matrix B shown below, determine the value of the element b32. If the element is not defined,…

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Q: A certain population of squirrels is represented by the function P(t)- 31(e), where P is the number…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: # √² + y = 2 Y = 10 + 3X

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Q: 9. Determine the Cartesian equation of the plane that contains the intersecting lines: -2 y 2+3 x-2…

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Q: Q6) Find the Area bounded by the curves y = √√√x and x = 2y - y² ,with sketch.

A: Let's find area between two given curves.

Q: 12. Which of the following is the vector equation of a plane that contains the line 3+2-¹ and the…

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Q: dx 4 sin x 3 cos x

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Q: 6. Find the derivative of y= 2x² (3x-4). A. 6x³ - 8x² B. 18x² - 16x C. 15x² - 6x D. 6x-4

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Q: Evaluate the following integral. 1 tan (√3x) 1 2 (3x)² +(3x)² - 13 0 MIN 3 dx

A: Here we have to find the integral

Q: In a random check on an assembly line, the probability of finding a defective item is 0.005.…

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Q: 27. Check whether the points (0, 7, 10), (-1, 6, 6) and (-4, 9, 6) are the vertices of a ight angled…

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Q: 7. A spring is stretched 200 mm by a 15-kg block. If the block is displaced 100 mm downward from its…

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Q: 1. Find the length of arc of the curve y = () from the point where x = to the point where x = 2.

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = ·S dx (x - 1)².…

A: The integral is y=∫ 2x2-3x+2(x-1)2(x-2)dx

Q: 1. A spring is stretched 175 mm by an 8-kg block. If the block is displaced 100 mm downward from its…

A: NOTE: Refresh your page if you can't see any equations. . the given mass is   kg . the spring…

Q: write the aufubal accleration du d= df dw: 2dt WA S St dwp = 0 gelateen, (3+ + 2) d+

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Q: Use the ratio test for absolute convergence to determine whether the series converges or diverges.…

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Q: Find the limit if it exist if it does not exist right DNE limit X to zeros in 2x/4x

A: This question can be solved using the concept of limits.

Q: find the slope of the tangent line to the graph of the following function at the given point fx…

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Q: Consider the following function. Function f(x) = 8x4 - 6x³ - 165x² - 37x + 60 (a) Verify the given…

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Q: Q5. Check whether the given points A (1, 2, 3), B (3, -1, 4) and C (-2, 3, -4) are collinear.

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Q: (6) Using suitable transformations, evaluate closed region in the first octant bounded by the…

A: We have to solve given Questions.

Q: 4. A plane travels on a bearing of 15° at an air speed of 655 km/h. It encounters a wind blowing at…

A: Given the air speed of the plane is 655 km/h at a bearing of 15°.  The wind speed is 45 km/h at a…

Q: 4. Determine a value of k for which the line L₁ : x=2s, y = 1+ks, z = 2-s, se R and the line…

A: Topic = Geometry As per guidelines , At a time only one question can be answered. please repost for…

Q: f(x)=4-x², y = 4, x = 2 Find the volume of the solid obtained by rotating the region A about the…

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Q: A horizontal trough is 1600 cm long and its ends are isosceles trapezoids with an altitude of 4 m, a…

A: I am attaching image so that you understand each and every step.

Q: As a result of losing a tug-of-war match, Mr. T is in the middle of a ditch. A group of people…

A: This question can be solved using the concept of vectors.

Q: Which of the following describes the graph of g(x) = -In(4 — x)? 8 7 5 4 2 2 -30-9-8-4 -6 -10 6 8 9…

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Q: 1) Write a differential equation that models this situation. Let V represent the volume (in gallons)…

A: Note: as per guidelines we support only three subparts of the questions.kindly repost next…

Q: List a value of X in quadrant ii that makes csc(x)=2 . Explain how you got your answer.

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Q: Find the second derívate of x Fx=-8/square root of 3x+6

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Q: let f(x) equals three sin X plus cosine 4X; (pi,1) find the derivative find the slope of the tangent…

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Q: 1) The Arc Length of the curve f(x) = coshx, 0≤x≤ In3 is: d. 1/1/22 4 12 a. b. ³/1 3 2) The Volume…

A: Given

Q: Find the cumulative density function for the given probability density function. k(x) = 0.8 -0.8x,…

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Q: Q6) Find the Area bounded by the curves y = √x and x = 2y-y² ,with sketch.

A: First we find the limits of integration.

Q: 4x+5 x2+x-2 5) 6) 2=1 +1 7) fx.tan-1x.dx dx =

A: To evaluate the given integral.

Q: c) sketch its graph

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Q: 3) If = 11, ||= 17, and the angle between and is 50°. Find 12+ and its direction. If necessary,…

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Q: Question 9: Use left-endpoint approximation to approximate the area under the curve…

A: Solve the following

Q: By using the differential operator D and it's inverse, solve this equation: y"" - y" - 6y' = ex ex…

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Q: Q2: Fill the blank: 1) lim (1+)5x x48 4x 2) lim x.e-3x = X-8 3) (csch-¹x³) = = 4) ₂° e-*dx 5) S-…

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at…

A: The given sequence is ∑n=0∞-1n+1n+6xn=∑n=0∞an

Q: 7) Write an expression that can be used to find the average value for the function g(x) over the…

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Q: Q5) Evaluate the following integral by using Partial Fractions Method 2x²-3x+2 y = √ ₁²₂²³² Sa dx…

A: Given problem:-

Q: The half-life of Palladium-100 is 4 days. After 24 days a sample of Palladium-100 has been reduced…

A: We have to determine the value of initial amount

Q: Q1: solve the equations below: 1) S dx Jellt vast (1+

A: Given, ∫1x(1+x)2dx