Solve the following integrals through video presentation. 12x + 6 1. =dx √x² + x

Q: (a) Find a vector equation and parametric equations for the line that passes through the point A(5,…

A: We have to find solution for given questions.

Q: Find the domain of the vector-valued function. (Enter your answer using interval notation.) r(t) =…

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Q: Can you solve this? 10x8 5x4 A) 2x² B) 2x¹2 = ? C) 2x4 D) 2x32

A: Solve the given

Q: 3 2 X'+X +2x + 30 - 2 (22-3x+29 2) -dx

A: Let's integrate given integral.

Q: f(x) = 5x 2x - 1 Español 1 Find f¹(x), where f¹ is the inverse off. Also state the domain and range…

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Q: True or False: Suppose k is constant. Then 5 [² is equal to 10k. Select one: True O False kdx

A: Solve the given intregal

Q: Use Green's Theorem to Calculate the Line Integral ſy²dx + x²dy, where c is the triangle o vertices…

A: Given that, the line integral is ∫y2dx+x2dy and the vertices of the triangle is 0,0,4,0 and 4,4. By…

Q: es (x²+bx+c)² dx

A: As per Bartleby guideline, only the first question has been answered in case of multiple questions.…

Q: Sketch the space curve represented by the vector-valued function and give the orientation of the…

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Q: The graph of the second derivative f" (x) is given below. On what interval(s) is the function f(x)…

A: Solution

Q: Find the volume of the solid of revolution formed by rotating the region bounded by the parabola…

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Q: Represent the plane curve by a vector-valued function. x² + y² = 36 r(t) = (No Response) Need Help?…

A: The plane curve x2+y2=36

Q: Evaluate the following limit. Use l'Hôpital's Rule when it is convenient and applicable.   lim x→∞…

A: The given limit,      limx→∞1+axx, for some constant 'a'

Q: Find the sum of the series: n=0 x n!

A: We are asked to find the sum of the series.

Q: Question: The two equal sides of an isosceles triangle measure 95 centimeters and the angles that…

A: The two equal sides of the isosceles triangle are, a=b=95 centimeters The angle that subtend them…

Q: 9. Following shows the graph of function g(x). The arrow means the function will leads to infinity…

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Q: Convert the rectangular equation to polar form x² + y² = 9 (solve) rsino = 9 r=4.5 Option 4 O Option…

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Q: Find all solutions of the equation in the interval [0, 2π]. 2cos2xcosx-2sin2xsinx = 1 Write the…

A: Here, the given equation is: 2cos(2x) cos(x)-2sin(2x) sin(x)=1⇒cos(2x) cos(x)-sin(2x)…

Q: a rectangular tank with a square base and an open top must fave a volume of 160 ft^3. Material for…

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Q: b = 2i + j + 3k 14 direction of a = Select one: O True O False is the unit vector in the 2i + j + 3k

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Q: Consider the following infinite series. Complete parts (a) through (c). Σ 310.1) k=1 a. Find the…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 7 y =…

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Q: (a) Find Maclaurin expansions for sin 2x, cos 2x and e³ up to and including the term in x³. I (b)…

A: Maclaurin Series for f(x) :       f(x)≈ f(0) +f'(0)x +f''(0)x22!+f'''(0)x33!+... Note : As per our…

Q: Why are 9x^2-81y^2=0 and 9x^2-(z^2/4)=0 hyperbolas that pass through the origin and not lines that…

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Q: Find y dV, where E is the solid bounded by the parabolic cylinder z = = 2 and the planes y = 0 E and…

A: The solution is given below

Q: Congratulations! You won a contest sponsored by a local radio station. If you were given the choice…

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Q: The data given in the Table below is produced from a Linear Difference Equation model of the form: Y…

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Q: 1 a. Determine whether the Mean Value Theorem applies to the function f(x) = x + on the interval…

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Q: Find the area of a triangle PQR, where P = (6, 3, 5), Q = (0,4, -3), and R=(-6, -1, - 5)

A: As we know that; The expression for the area of the triangle PQR is: A=12PQ→×PR→   Given: P=6,-3,-5,…

Q: z=(4xy)/[(x^2)+(y^2)] (a) (partialz)/(partialx)

A: We have to find the partial derivative.

Q: 6 Find an equation of the line to the curve Y= √x that is parallel to the line 6x +Y=1. Y =

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Q: 16. A small tie shop finds that at a sales level of x ties per day its marginal profit is MP(x)…

A: We need to find P(x).

Q: The value of the definite integral [²3x²dx 3x² dx is Select one: 3 26 1 26 26 none of the others 26…

A: Solution is given below:

Q: • f'(x) = x − 2x 2 x¹2x² + 1; ƒ(1) = 5

A: We have given f'(x) and we have to find function f(x)

Q: 클 ~D f(x) = x² e² е (12) Find f '(x). f'(x) = x²²²e² + e² 2x² f" (x) = X

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Q: True or False: We have Select one: O True O False 2 2 2 [ ² x³²dx < [ ²³ x³²dx 1

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Q: c) graph of Estimate the area under the f(x) = √√√x from x = 0 to x = 4 using four approximating…

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Q: Consider the following graph on the interval - 165° < x < 270°: 5 4 3 2 D 1 150-120 90 -60 -30 -1 -2…

A: We have given a graph of function and finding amplitude,period and function

Q: Let f be a function given in the graph below. Note that the domain of f is [-3, 4]. a) Does f have…

A: Given the graph of a function. To determine whether the function has an inverse on the given…

Q: Given that 2+i is a zero of f, find all other zeros. (Enter your answers as a comma-separated list.)…

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Q: 100 100 suppose that Σ a; = -17 and Σ b; = 13. compute the sum. i=1 i=1 100 Σ ( – 30a; – 76;) i=1

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Q: The Taylor series expansion of 2 |z| < 1 is (solve) Z-2¹ −(¹ + ² + ² + ² …..) X Option 2 O…

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Q: What am I missing ???

A: We have to find derivative

Q: 5 Laplace transform, solve y" - 4y' + 7y = 0 y(0) = 3 , y'(0) = 7

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Q: Differentiate tan (x¹3t) with respect to x, assuming that t is implicitly a function of x. (Use…

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Q: Find the indefinite integral. (Use c for the constant of integration.) [ (42³1 + (4t³i + 14tj…

A: We need to find integral.

Q: Let f(x) = { 2x-3. 3x²+2, if x < 3 if x ≥ 3 be a piecewise function. Evaluate Sof 0 f(x)dx=

A: We can find the integration of the piecewise function as below.

Q: T Find the net area and the area of the region bounded by y = 2 cos x and the x-axis between x = -…

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Q: Surface integral is used to find Density O Area O 111

A: surface integral is used to find 1.density 2.area 3.surface 4.volume

Q: Solve the differential equation by variation of parameters. 3y" 6y' + 6y = ex sec x y(x) =

A: We have to solve the differential equation.