If ye cos x 8 lnx, find f'(x).

Q: 2. Simple Chemical Conversion Radium decomposed at a rate proportional to the quality of radium…

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Q: Determine the area of the triangle bounded by the coordinate axes and the tangent to ² - y = 0 at x…

A: Let's find area (A).

Q: A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.  How fast does the tip of…

A: Given that, A 6-ft man walks away from a 16-ft high lamp post at the rate of 4 ft/s.

Q: B/A block of ice in the shape of a right circular cone is melting in such a way that both its height…

A: rate of change of volume of cone

Q: Determine the intervals on which the given function is concave up or concave down and find the…

A: Given,f(x)=4xe-9xWe know that,An inflection point is a point on the graph at which the second…

Q: 7. Which of the following is the differential equation satisfied by the given by the particular…

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Q: 2) Use Rolle's Theorem on f(x) = 2x3 - 6x² - 2x + 6 to find all numbers c in the interval (1, 3) for…

A: Here is the solution:

Q: Question 1 A body cools from 60°C to 50°C in 5 minutes. How much more time (in minutes) will it take…

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Q: SOLVE THE FOLLOWING PROBLEMS SHOWING EVERY DETAIL. ENCLOSE FINAL ANSWERS. dx xy+3x-y-3 1. Find the…

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Q: The general solution of the equation (D4 +D²)y= -12 is A y=c₁ + c₂x + c3cosx + casinx+3x² B y=c₁ +…

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Q: The function is x z = y² What is 8²% dy² 2/21/23

A: Let's find second partial derivative of given function.

Q: 15. The piecewise function -t+ + 0 st < 1 f(t) = ²+1 1st <2 -3 t22 can be expressed in terms of a…

A: This is a problem related to heaviside function which is also known as step function. Based on the…

Q: y=Arccos (x²)

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

Q: The length of a rectangle is given by 4t - 3 and its height is √27, where t is time in seconds and…

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Q: Written Activity Related Rates Expanding Rectangle The length of a rectangle is increasing at a rate…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Find the area bounded by : f (x)=e*, g(x)=ex and x=3. (e²+ 1)² A sq. units e2 B (e³ + 1)² e3 sq.…

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Q: Vector-valued function R(t) = 1. Reparametrize R using the directed arc length s from the reference…

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Q: 2. Find the area under the curve y = x² from x = 0 to x = 3. -y-x² (1,1) x-1 (3,9) x-3

A: Solved below.

Q: Evaluate [C sin(x + y)dxdy. Answer: 0

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Q: 10 Σ (3n – 1): 125 n=1 10 Σ–1 (3) -1, 125 Σ (3n – 4): 125 10 Ο Σ(3n – 4): 125 Ο Ο O e Θ

A: Verify all the option   then find the sum.

Q: The general solution of (D²-2D+1)y=2sin x y=C1eX + C>XeX + sinx By=c₁еx+c₂xe* +2sinx Cy=c₁еx+c₂xe* +…

A:

Q: Lim X-0 √1+x-√1-x x

A: evaluate the limit limx→01+x-1-xx

Q: 1₁ (16-x²) dx -1 What is the approximate area of the given function using the Right Riemann Sum…

A:

Q: 29. A body temperature of 50°F is placed outdoor where the temperature is 100°F. If after 5 minutes…

A: As per our norms we have to write one question at a time kindly repost remaining questions

Q: Write TRUE or FALSE before each statement. Solve+Q=4. independent variable. the above differential…

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Q: The function is z = Determine ე3 2 əyəwəx wx²y + xy² + tan (wx)

A: A detailed solution is given below.

Q: H.W // find the integral _1=√15 e-x³².dx. using 7. dx. using two and three points of Gaussian -1.5…

A: In numerical analysis, the Gaussian Quadrature method approximates the definite integral of a…

Q: HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^3 – 2D + 4)y = 0 ; y = –2 , Dy = 8, D^2y = 0, when x =…

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Q: Question 2 Given a differential equation as d²y-5x dy +9y=0. dx² dx By using substitution of x = e'…

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Q: dy Reduce the linear DE (2xy + x²+x¹) dx = (1+x²) dy=0 to standard form dx (A) +y dy dx -2x 1+x² =x²…

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

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Q: If find the value of a. 3 S₁ S² (x + 2y) dydx = 10, 0 a

A: Given: ∫01∫a3(x+2y)dydx

Q: Iff and g are continuous on [a,b] and f(x) ≥ g(x) for all x € [a,b] th then A True B False [ f(x)dxz…

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Q: 2. Radioactive isotope Carbon-14 decays at a rate proportional to the amount present. If the decay…

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Q: 9. Find the area between y = √x and y = √x+1, over the interval 0≤x ≤4

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Q: ind the indicated maximum or minimum value of f subject to the given constraint. 2 2 2 Minimum:…

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Q: Solve the integral: feln(2x² + 3x-4)³ (4x+3) dx

A: This is a problem related to integration. Based on the general formula and concept we will answer…

Q: What is the approximate area of the given function using the Midpoint Riemann Sum placing 5…

A: This is a problem related to integration. Based on the reimann mid point sum formula we will answer…

Q: 4 [*(16-x²) dx

A: Using left reimann, approximate area is evaluated.

Q: Calculate the points of intersection of the curves x² = 4y and bre yavas r3 099wied biloa 9d1 to 9…

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Q: 3. Look at the figure below. Find the value of x and the measure of each angle. n 1.x = 2.42 = 3.26…

A: We know that alternative interior angles are same Therefore 5x-14=3x+18 Subtract 3x+18 from both…

Q: May I ask why there is a plus 8 in the final answer?

A: We have to explain why there is 8 in final answer.

Q: 3x+ +4x +4y² = 25x³

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

Q: Let f be a function such that -² ≤ f(x) ≤ x² for all x ER. Show that f is differentiable at x = 0…

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Q: If 9 = {(1, y) |1 ≤ x ≤ 3,3 ≤ y ≤ 6}: D then: 11,3 dr dy

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Q: In ( x² + 3x -=-7) dx X-2 Evaluate the integral: Se Ⓒ + A x² 2 =+ + In|3x-6|+C ℗ +² +5x+3n|x-2/+C B…

A: To find out the integration.

Q: Solve the integral: Seln(2x² + 3x-4)³ (4x + 3)dx A eln(2x² + 3x-4)³ (4x+3) 3(2x²+3x-4) (2x²+3x+4)4 B…

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Q: . The implicit solution for the differential equation y' = x³y is A. In x = y² + c B. 3 lnx = y² + c…

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Q: C) (-∞,1]

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Q: Q3/ Find a volume for the region bounded by 4/X and Y = (X-3)² about the x-axis.

A: The given curves are; y=4x and y=x-32 So, the bounded region is as shown below. Apply the disk…