Use partial fractions to evaluate x² + 4x + 1 Lix (x − 1)(x + 1)(x + 3) dx

Q: Find the surface area of a cylinder with a base radius of 2 in and a height of 6 in. Write your…

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Q: If P(−4, −56) is a point on ?(?) find the equation of the secant line PQ. Given Q is a point on…

A: Here we have to find the equation of secant line PQ.

Q: Find the values of p for which the integral converges. (Enter your answer as an inequality.) p>1 8…

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Q: Find the derivative of f(x) = log, (3x4 − 2x²) at the point x = 3. Enter an exact answer. Provide…

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Q: Find sets of parametric equations and symmetric equations of the line that passes through the two…

A: Given points are,

Q: (a) f(z)=3z² - 2z+ 4; z-1 (c) f(z) = 2z+1 (z = -1/2); (b) f(z) = (1-4z²)³; (d) f(z) = (1+z²)4 z² (z…

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Q: 1.) Find polar coordinates (r,8) for the point P that has Cartesian coordinates (x, y) = (5,-5) such…

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Q: The standard form of 3dy – xydx = 3y³e¹x/³ by Bernoulli's equation is: dx A d 2=3e dy ху B D…

A: Solution : Given that

Q: 1. If X-Uniform (-), find the distribution of Y = tan x.

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Q: Find f'(x) for f(x) = A f'(x) - B f'(x) = © f(x)= 2x+cos²x tanx 2-2sinxcosx tanx 2x+cos²x sin²x…

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Q: Write a polar equation in rand of an ellipse with the focus at the origin, with the 8 eccentricity…

A: A polar equation  of the form r=ed1±e cosθ, r=ed1±e sin θ represents a conic with eccentricity e…

Q: A cargo container (in the shape of a rectangular solid) must have a volume of 520 cubic feet. The…

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Q: Guess the value of the limit (if it exists) by evaluating the function at the given numbers. (It is…

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Q: x+4y=3 2 -4 =Z-4

A: parametric equation is :    x= -4+2t , y=3-4t , z=4+t

Q: Suppose that f(x) = 6x + 3x². Evaluate each of the following: ƒ'(2)= f'(-1)=

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Q: 2. Find the curvature of f(x)= x cos²x at x = π

A: The solution is given below

Q: Find the radius of convergence, R, of the series. (x - 10)" Σ n = 1 R = 10 Find the interval, I, of…

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Q: 3 Detennine it the following series is on divergent Convergent a 745-6 นะ ET 3n³+2n Determine if the…

A: Series Divergent Test : Consider the series ∑n=1∞ an . If limn→∞ an does not exists or non zero .…

Q: 2 Find the F.T. of the following Signals (functions) b. f(t) = u(t) Coswet. -at a. f(t) = te. S Sul…

A: [2] (a)  Given f(t) = te-at We have F[e-at] = 1/(a+jw) From the formula F[tne-at] = n!/(a+jw)n+1…

Q: Find the equation of the tangent line to the curve y = 8 sina at the point t ( 77, 4). The equation…

A: The curve y=8 sinx at the point π6,4

Q: 150 and b = - 80. Find the distance between a and b, d(a,b), when a = -

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Q: Determine whether the geometric series is convergent or divergent. 64 5 (5-8 + convergent divergent…

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Q: A rectangular box with an open top has a length of x feet, a width of y feet, and a height of z…

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Q: Why did the sign change from positive to negative?

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Q: 1. Given r(t) = <In(cost), -1, 2 $₁ 2 A a) Find the length of the curve for r(t) at 0<t< R|4 b) Find…

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Q: A decreasing derivative f'(x) corresponds to a concave down function f. On which interval(s) is f…

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Q: The function f(x) This function has a local maximum at x = with value - with value 5 + 8x + 72x and…

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Q: Find the point of inflection of the graph of the function. (If an answer does not exist, enter DNE.)…

A: Understanding of inflection point calculations are required to understand this problem.

Q: f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your answers as a comma-separated list.)…

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Q: Use the One-to-One Property to solve the equation for x. (Enter your answers as a comma-separated…

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Q: If the angle of the moon is decreasing at 0.25 radian per hour, how fast is the shadow of a 150 ft…

A: If the angle of the moon is decreasing at 0.25 radian per hour, to determine how fast is the shadow…

Q: Which of the following is NOT a variable separable DE? A B C D sinydx + cosxdy=0 (x+y) dx-xydy=0…

A: From the given Differential equations, we have to find the differential equation that is NOT a…

Q: Consider the parabola given by the equation: f(x) = 2x² - 12x Find the following for this parabola…

A: Concept: vertex of the parabola: A parabola's vertex is the location where the curve turns steepest.…

Q: ㅠ S tan5 (2x) sec² (2x) dx ㅠ 2

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Q: Exercise 10. A wire of length 28 m is to be cut into two pieces. One of the two pieces is to be made…

A: topic- Application of derivatives

Q: Find two unit vectors in 2-space that make an angle of 45° with 6i + 5j. NOTE: Enter the exact…

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Q: The indicated function y₁(x) is a solution of the given differential equation. xy" + y' = 0; Y₁ =…

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Q: Write a definite integral that represents the area of the region. (Do not evaluate the integral.) Y₁…

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Q: need

A: Topic:- simplification

Q: ㅠ St tan5 (2x) sec² (2x) dx

A: Given:∫π2πtan5(2x)sec2(2x)dxsubstitute u=tan(2x)differentiate on both sideswe know that…

Q: Use Lagrange multipliers to minimize the function f(x,y,z) = x² + y² +z² subject to the following…

A: The given function is;  f(x,y,z)=x2+y2+z2 Constraint: x+y+z-33=0.

Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent. (-1)^…

A: Solve the following

Q: f Ine2x dx

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Q: (jw+4) (jw+3) (jw+2) B + (jw+3) (jw+2) A(jw+2)+B(jw+3) (jw+3) (jw+2) Ajw+2A+Bjw+3B (jw+3) (jw+2)…

A: We will use properties of partial fraction

Q: A manufacturer knows that when he charges p dollars per unit for his product, he will be able to…

A: Given :Ax=5+x50x=380-20p

Q: Apply L'Hôpital's Rule to evaluate the following limit. It may be necessary to apply it more than…

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Q: Consider the following function. f(x) = 1 |x - 51 (a) Find the critical numbers of f. (Enter your…

A: You must have idea how to find critical point of any function. By using those value you need to find…

Q: 3. ƒ (1−2x)² dx S x

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Q: Refer to the figure and find the volume generated by rotating the given region about the specified…

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

Q: r+∞ x e dx x ln x

A: We have to evaluate ∫e+∞dxx lnx                                            I = ∫e+∞dxx lnx…