Evaluate the indefinite integral 7X+17 (x+2) (x+3) dX

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Q: I. Perform the indicated multiplication on the differential operator D. (D+2x)(D-3x)

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Q: Given the following graph of f(x), state --6-5-4-3-2-1 3- 2+ 3 4 a) the domain b) the range

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Q: x- /= ² + √²-11 de dx dx x-1 x² + x + 1 3

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Q: II. Solve each of the given LDE of order n. 1. (D-4D³ +3D³) y = -27

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A: In this question, We want to find the directional derivative in the given direction.

Q: 5. Find the length of one arch of the cycloid x = sin and y = 1- cos 0

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Q: SPA 32 Select one: True ● False dx dy = 13 2

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Q: Classify the following diferential equations. Write the order, linearity and the homogeneity of the…

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Q: Use the given graph of f(x) to find the intervals on which f'(x) > 0. Q 25- 20- 15- 10- 5- y…

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Q: Find the derivative. F'(x) if F(x) = (ex² -3) 2² F'(x)=

A: use the natural log both side for finding the F'(x).

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Q: (b) Determine whether the alternating series converges or diverges by using the alternating series…

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Q: Find the relative extrema of the function and classify each as a maximum or minimum. -2)2/3 5) f(x)…

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Q: Consider the surface described by Question the equation z² = √е¹-2y. a) Find the equations of the…

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Q: The function f(x, y) = 2x³ - 6x + 6xy² has: Select one: O One minimum One maxima and one saddle…

A: Topic:- application of derivatives Note :- as per our guideline if more than one question uploaded…

Q: Frogs have been breeding like flies at the Enormous State University (ESU) campus! Each year, the…

A: This question can be solved using the concept of exponential growth model.

Q: Show that the function has removable discontinuity at the origin sin 2x 2x f(x) = 1 if x = 0 if x =…

A: Given that a function f(x) and we show that the function has removable discontinuity at the origin .…

Q: 2- Évaluer les intégrales suivantes: a = √ x√x + 5 x ₁² dx x2 2- Evaluate the following integrals:…

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Q: The maximum rate of change of the function 1 f(x, y) = at the point (1, -2) happens in direction of…

A: I have find the direction and value of maximum rate of change of given function and say that given…

Q: Consider the following. f(x) = 81 Find the x-values (if any) at which f is not continuous. Is the…

A: We know that discontinuity is a point where the function becomes undefined. The point of…

Q: F(x, y, z) = yzi + xzj + xyk (a) C₁: r₁(t) = ti + 3j+ tk, 0≤ t ≤9 (b) C₂: r₂(t) = t²i + tj + t²k, 0≤…

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Q: Choose the gradient of the function \(f\) defined by f(x y) √1 (4x 5y)². O None of the others 4x+5y…

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Q: 3 3x 2 3x¯y 2 xy 3 + y dy dx 1

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Q: Give an example of a derivable function f (x) with f ′ (- 4) = - 1

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Q: Use the differential to find a decimal approximation of the radical expression. Round to four…

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Q: Determine whether the equality is true or false [²[x² + y²³ dxdy=[["²³dy) + (²x²x) 6 6 Select one: O…

A: Select one

Q: Find the lim inf (xn) and lim sup (xn) of Xn = √1 + n² 2n - 5

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Q: D. f(x, y, z) = 1x + 10y + 8z Vf(x,y) =i+j+k E. f(x, y, z) = 1x² +10y² + 8₂² ▼ f(x, y, z) =i+j+k

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Q: 9. Find if x (t) = t + sin(t), and y(t) = t - cos(t). doe

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Q: 2) A) (::.. y" + 9y = 0 B) i y" + 9y = 0, y(0) = 0, or else show that it has no solution ... )…

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Q: ƒ7 In ()dx if sec¹ (3x) dx

A: Integration by parts: ∫f(x)·g(x) dx = f(x)·∫g(x) dx - ∫ddxf(x)·∫g(x) dx dx

Q: Find the area enclosed by the given parametric curve and the y-axis. sin²(t), y = 8 cos(t) X = y 0.2…

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Q: Evaluate the integral using an appropriate substitution. NOTE: Enter the exact answer. | sin (2) x²…

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Q: Determine the equation for tangent and normal at the point with x -coordinate 2 on the curve y = ex…

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Q: Find an equation for the hyperbola that satisfies the given conditions. Foci: (±5, 0), length of…

A: We will find the equation of hyperbola.

Q: Evaluate the integral by applying the following theorems and the power rule appropriately. Suppose…

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Q: Use partial fractions to find the power series of the function: 8 n=0 11x² + 629 (x² + 64)(x² + 49)

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Q: Determine the value of k for which the direction vectors of the lines x+3 Z = y = -1 are…

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Q: Use the Integral Test to determine if the series shown below converges or diverges. Be sure to check…

A: We have to test the series

Q: Consider the following. u = (-7,3, -2), v = (0, -4,-3) (a) Find the projection of u onto v. (b) Find…

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Q: dt || y whent = 0, y =

A: Please refer to the image below

Q: 3. y + 4y'+4y=0

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Q: Find the relative extrema of the function, if they exist. 3) f(x)= 3x4 + 16x3 + 24x2 + 32 4) f(x) =…

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Q: 2. Let f(x) = nx² - 2x + 5 and g(x) = 6x² - 5x + m. The functions are combined to form the new…

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Q: Evaluate the integral using NOTE: Enter the exact answer. sec(7x) tan (7x) dx = appropriate…

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Q: The total cost (in hundreds of dollars) of producing x calculators per day is given by the equation.…

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Q: Let →r(t)=⟨2t−3,5e^−2t,−2e^2t⟩ Find the line (L) tangent to →r(t)r→(t) t=-3.

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