Question Determine the second derivative of the parametrically defined curve represented by the equations (t) = -5e5t and y(t) = −9e-7t. Provide your answer below: d'y dx² ||

Q: cy that best fits the data points (0,

A: z = a + bx + cy bx + cy + a = z Data points => (0, -3, 0), (4, 0, 0), (3, -1, 1), (1, -2, 1), and…

Q: Evaluate the integral 20 fx³² (x³ – 5) 2⁰ da by making the substitution u = x = x³ – 5. + C NOTE:…

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Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: The region is bounded by the line x=2, the curve y=ln x and the x-axis. We have to find the area of…

Q: 12. Determine whether or not the given function (defined on -∞0 <2<x) is periodic. If it is, find…

A: A periodic function can be defined as:A function returning to the same value at regular intervals.…

Q: Calculate the integral approximation Se for S6 = 8. 1₁4² dz.

A: Given:    ∫-104-x2dx Simpson's rule S6:   ∫abf(X)dx=∆x3fx0+4fx1+2fx2+... where ∆x=b-an,       a=-1,…

Q: Suppose F'(x) = 5x² + 6 and F (0) = 1. Find the value of F (b) for b = 0, 0.1, 0.4, 0.8, and 2.0.…

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Q: A particle is moving along the x-axis such that its position is given as a function of time as x(t)…

A: At what time particle stopped??

Q: . Зп 2п f (x) dx

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Q: Use identities to find values of the sine and cosine functions for the angle measure. 8, given that…

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Q: Find the arc length of the curve defined by the parametric equations x(t) = t + 3 and y(t) = 9t-8…

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Q: The figure below shows the derivative F' of F. Let F (0) = 0. F'(1) ਜਿਹ 8 + 2 4 6 Of the four…

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Q: Given f(x) = ax³ + bx. Find a so that f has a relative extremum value (d.) 17/06 at (2,-1). (a.)…

A: Given:      fx=ax3+bx Relative extremum value at 2,-1 To be a relative extremum, f'x=0 For the value…

Q: 1. Consider the sequence an = cos² 3πn² n²-5 a. Does the sequence converge, or not? If it is…

A: To determine whether the given sequence converges or not

Q: Find an equation of the tangent plane to the given parametric surface at the specified point. r(u,…

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Q: Approximate the derivative of the function f(x) = sin (x²) on the interval [0, 2] in steps 0.25…

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Q: Use Stokes' Theorem to find the circulation of F = 3yi + 2zj + 2xk around a circle C of radius 5…

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Q: 6. Sketch the graphs of the functions, f(x) = 2* and g(x) = x - 1 on the axes below. Then, on the…

A: we need to graph the functions.

Q: Find an angle with 0° < 0 < 360° that has the same: Sine as 250°:0= Cosine as 250°:0 degrees degrees

A: we need to find out the angle that has same sine and cosine value for the given angle has.

Q: Solve the FIRST ORDER LINEAR D Linear in r sin e dr de -1 - 2rcos 8

A: We have to solve  thegiven   First order linear differential equation  which is linear in r.

Q: 1. The coefficient of x³y³ in the expansion of (2x + 2y)¹⁰ is 20 2. The constant term in the…

A: Question 1,Given,            2x+2y10To find : The coefficient of x5y5 in the given expansion.We know…

Q: Problem 6: Find the point (x,y) with x > 0 and y> 0 that lies on the curve y = 2x² and produces the…

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Q: 1 The vector field F = is conservative. Find a potential function for F compute SF dr, where C is…

A: To find the given line integral.

Q: Consider the region bounded by the line x = 2, the curve y = ln x and the x-axis. Setup an integral…

A: NOTE: Refresh your page if you can't see any equations. . the area is bounded by  the equation of…

Q: 1. Determine whether the following infinite series are convergent: A. n=1 n! (n + 2)!

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Q: Suppose a car is traveling at 50 km/hr, and that the positive y-axis is north and the positive…

A: The given problem is solved below in detail.

Q: 6. When a particle is moved from x = 1 meter to x=3 meters with a force of (x²+2) Newtons, how much…

A: To solve the problem we use the following: Let dw denotes a small amount of work done by the force F…

Q: Find the dot product and the angle between the vectors, ū and v. 2. (3,-5), (7,4) 3. (-3,0), (5,7)…

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Q: The angle of elevation to the top of a Building in New York is found to be 6 degrees from the ground…

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Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: NOTE: Refresh your page if you can't see any equations. . the given velocity function is  and the…

Q: D- xp(x + 2x)² ]

A: Given query is to find the integral.

Q: Firefox prevented this site from opening a pop-up window. ←4.5/4.6 HW Question 13 of 14 4 ( ² ( x +…

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Q: Consider the indefinite integral (25 - 2)5 This can be transformed into a basic integral by lettin…

A: ∫xndx=xn+1n+1+cdxndx=nxn-1

Q: 57-58 A particle is moving with the given data. Find the position of the particle. 57. v(t) = 2t -…

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Q: area of the region bounded by the line y = 2x, the curve y = √39 x and the x-axis.

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Q: An isosceles triangle is inscribed in a circle of radius 20cm. Find the dimensions of the largest…

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Q: Calculate the double integral SSR (2x + 8y + 16) dA where R is the region: 0≤x≤ 4,0 ≤ y ≤ 1.

A: The given double integral ∬R2x+8y+16dA, where R is the region: 0≤x≤4, 0≤y≤1. We have to evaluate…

Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Evaluate the following integrals. 1. 2 xe e²x dx

A: according to bartleby guideline we do only first part of multiple  1)   formula for integration by…

Q: Assume the bucket is leaking.It starts with 5 liters of water (5 kg) and leaks at a constant rate.It…

A: We need to find work done.

Q: d. f(x) = (2x-3)5 (2x²- e²x)-3

A: Given query is to find the derivative of the expression.

Q: Simplify cos(t)csc(t) to a single trig function.

A: As we know the trigonometric identities: 1). sinx=1cscx 2). cotx=cosxsinx   To simplify the…

Q: Question Determine the derivative of the parametrically defined curve represented by the equations…

A: dxndx=nxn-1d dxconstant=0dydx=dydtdxdt

Q: Assume that f"(x) is continuous on [0, 1] an ƒ(0)=1,ƒ(1) = 3, ƒ'(1) = 7. Find [xf"(x) dx.

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Q: re4 1 2 e² x ln²√x dx

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Q: Consider the function in the graph to the right. The function has a relative maximum of 3 o at x = 0…

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Q: If the two adjacent sides of a rectangle are always on the legs of a triangle, what is the length of…

A: let longer side of the rectangle = xlet shorter side of the rectangle = y

Q: Find the missing parts of triangle ABC when angle C=115, a=18, and b=23.

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Q: 7. The function f(x)= is known as the Sobolewski Happiness Indication Threshold. This function shows…

A: As per the guideline only 3 subpart is allowed to solve at a time for further help ask same question…

Q: Find all the roots of the given function. Use preliminary analysis and graphing to find good initial…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: Find the points on the cone z² = x² + y2 that are closest to the point (4, 2, 0). (x, y, z) (smaller…

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