What is f(x) of f(x) = log3 (1-2x)²? -32 In(3)-(1-2x)³

Q: What is the value of k so that the function f(x) is continuous at x=2 O-3 O - 3/2 1/2 0 1 T-2k f(x)…

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Q: Consider the initial value problem (a) Solve the initial value problem. (enter yo for yo). y(t)= y'…

A: NOTE: Refresh your page if you can't see any equations. . compare this DE with  so here we have…

Q: Find the critical value x^1/7+8

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Q: Write the first five terms of the geometric sequence. a 1 = 6; r = 3

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Q: Consider the infinite series > Evaluate the first four terms of the sequence of partial sums. k=1…

A: Given that infinite series       ∑k=1∞1k+3       We have to evaluate first four terms of the…

Q: es Ous es les eButton Orations 365 Approximate the value of 22.5 O4+4 In(2) 06 O4+2 In(2) O4 +0.5…

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Q: Use Linear Approximation to estimate Af = f (7.01) - f(7) for f(x) = x². (Use decimal notation. Give…

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Q: Solution is incorrect. Please correct it.

A: dydx=6y18+9x2y18⇒dydx=6y18(1+9x2)⇒y18dy=6(1+9x2)dx

Q: e² 1+2e +e S Select one: O A. dx 1+6² 2 1+6² +C +C O B. OC. +C OD. +C -2 Ite -1 1+e

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Q: the region enclosed by y = e¹¹, y = 5², and a e = 1. Find the area of the region.

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Q: The differential equation Find such a solution and then give the related functions requested. has an…

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Q: Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y =…

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Q: 1 Σ 3 k=4 √k -5k + 20 By the properties of the p-series, Limit Comparison Test, this series…

A: To find whether the series is convergent

Q: Compute the given integral. Enter your answer using exact values. fe-52 dx = +C

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Q: Sketch the curve by using the parametric equations to plot points. Indicate with an arrow the…

A: To sketch the graph of the parameric curve ,first we find  x and y values corresponding to each t…

Q: Apply Newton's Method to f(x) and initial guess xo to calculate x₁, x2, X3- f(x) = 1 – 5x sin(x), xo…

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Q: The limit: x - y lim (x,y)→(0,0) x² + y² exists, and equal to 0 Select one: O True O False

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Q: Use the formula for the sum of the first n terms of a geometric sequence to solve. Find the sum of…

A: The given geometric sequence: 32, 38,332,.....

Q: Integrate the given function (Handwritten) tan2x + 2x^2x

A: Here we use basic formula of integration .

Q: Integrate | VE 1-4x² dx using a trigonometric substitution.

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Q: 7. (a) Use the Maclaurin series cos x = 8 k=0 (-1)^2k (2k)! (b) Use the Maclaurin series ln(1 + x) =…

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Q: nter the exact answer. enter √a, type sqrt(a). lim x-2 √x+2-2 x-2 nt: You may want to rationalize…

A: Limit problem

Q: Estimate Ay using differentials. 1/33x-1, y = x ¹/3 e³x-1. a = 1, dx = 0.1

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Q: Work problem 3 Given the vector function () 5 F(t) = (6t³ · (61³ – —‚ t - sec(4 – t)), then find the…

A: We have to find the tangent vector at t=4.

Q: The current population of a small town is 2848 people. It is believed that town's population is…

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Q: (hex) = (7x-6x³) 9 2) 3) x+1 x-1 x√x+1

A: Find the derivative

Q: 4. Graph this piecewise function: f(x): = x+1 -2x-3 x<-2 xM-2

A: We need to graph the given functionf(x)=x+1x&lt;-2-2x-3x≥-2

Q: Use an appropriate test to determine whether the series converges. k² +3 2 k + 3k +2 2k²+1 Σ k=1

A: The given series,        ∑k=1∞k2+3k+22k2+1

Q: Use the Comparison Test or the Limit Comparison Test to determine whether the following series…

A: We need to choose correct option.

Q: Evaluate the geometric series or state that it diverges. 5k E •(-4)* Σ 5 k=1 Select the correct…

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Q: Consider the indefinite integral fe5z +6 dæ: a) This can be transformed into a basic integral by…

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Q: Find the value of each of the six trigonometric functions of the angle 0 in the figure. ... √13 1 5…

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Q: Integrate ze da Select one: O A. ex (2x-1) + C OB. e (x-2) + C O C. e* (x-1) + C O D. ex (x-3) + C

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Q: Population of a certain country is growing exponentially at a rate of 1.5% per year. How long will…

A: Given problem:- Population of a certain country is growing exponentially at a rate of 1.5% per year.…

Q: For what values of x is the tangent line of the graph of parallel to the line y = 0.7? (If there are…

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Q: Find the limit of the following sequence or determine that the sequence diverges. 2n² 1 6n² + 1 -…

A: Solve the following

Q: A tank that has a shape of an inverted circular cone with height 15 meters and base radius 6 meters…

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Q: F. (DERIVATIVES OF EXPONENTIAL AND LOGARITHMIC FUNCTIONS) 1. Find f'(x) if f(x) = 3e². 2. Find g'(x)…

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Q: Find an equation of the tangent plane to the surface at the given point. f(x, y) = x² - 2xy + y²,…

A: Given that   f(x,y)= z = x2-2xy+y2     So,  this can be rearrange as…

Q: Choose the normal vector of the tangent plane to the surface defined by at the point (-4, 2, e88).…

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Q: Evaluate the given integral: 2 fлсoе² (2x) dx

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Q: C What is f" (x) of f(x) = x Arc sin(x) + √1 − x²? Arc sin(x) 2 √1-2² √1-7² ◄ Previous + Arc sin(x)

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Q: Find the points of inflection of the graph of the function. (Round your answers to three decimal…

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Q: 23. Given f(x) is graphed below, sketch f-1(x) on the coordinate plane with f(x). (1,2) -5- 0 (1, 1)…

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Q: t dy dt a. Find y(40) b. Findt where y(t) = 900. 78. If = .08y (1 - y 1000) y(0) = 100

A: We need to find y(40) and t.

Q: Consider the following function. f(x) = (x - 3)ex (a) Find the critical numbers of f. (Enter your…

A: We have to find the critical points, monotone intervals and relative extremum.

Q: -2x 2) (² f(x, y) = e¯ fxx + fyy = 0 Consider -2y cos 2y - e cos 2x. Verify that

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: A road perpendicular to a highway leads to a farmhouse located a = 1.5 km away. An automobile…

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Q: integral of cos x sin^3 2 x dx

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Q: Let f(x) = x² - 5x. (A) Find the slope of the secant line joining (3, ƒ(3)) and (9, ƒ(9)). Slope of…

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