Find a vector a with representation given by the directed line segment AB. A(-3, 2), B(4, 3) (7,1) Draw AB and the equivalent representation starting at the origin. y y

Q: pute the definite integral dr by starting with the trigonometric substitution x = sece, and show the…

A: we will find the required integral.

Q: Prove that x=-1 and x=1 are vertical asymptotes, and that the x-axis is the horizontal asymptote of…

A: As given that for the function y=coth-1x has verical asymptotes at x=-1 and x=1 and has horizontal…

Q: Work Problem 2 For the function f(x) = 6 − 6x² + 8x consider the definite N integral f(x) dx. a)…

A: Givenf(x)=6-6x2+8x   We are reuired to finda. ∫0Nf(x) dxb. The value of N for which the integral…

Q: Choose 3 inequalities that form a system whose graph is the shaded region shown above. A. 8x-5y2-20…

A: The graph of the bounded region is given, we have to find the system of inequalities whose graph…

Q: Fin f'(x) when f(x) = (5x² + 1)².

A: To find the derivative of given function

Q: 4. Evaluate the limit. lim log5 (8x - x²) x-2 noltonul ed x-xalx=(x)dl

A: Given query is to find the limit.

Q: Evaluate the integral using integration by parts. Okay to use Tabular Integration if appropriate.…

A: On solving this integration by part using the formula we will get

Q: x² + 2x³ + 8x² + 3x. Let f(x) = x² Then f'(x) is and f' (2) is f''(x) is and f'' (2) is

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Q: a) 1+2i -2-i

A: According to bartleby guidelines we supposed to do the first one of multiple questions kindly repost…

Q: 19. 20. π/2 St sin7 x dx √t(t+1)

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Q: In tracking the propagation of a disease, a population can be divided into 3 groups: the portion…

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Q: Find an equation of the tangent line to the curve at the given point. = In (xex*), (1, 1) y

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Q: 4. If |g|= 11, || = 23 and g + h = 18, then determine lg - hl.

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Q: Answer the questions for the function f(x) = -xe a. We first find a formula for f'(x). (Hint: Use…

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Q: 13. Find the curvature of the curve y = x at the point (1, 1). 14 Find

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Q: 12, b = 6, and c= 21. The variable a is proportional to 15 when b = 9, what is √b. If a a when b =…

A: Use proportional property

Q: (a) Use the figure to find the value of Is f(x) dx = 2 [*₁ f(x) dx = -1 -2 3 -3 Y X 2 X [ co f(x)…

A: The graph is given

Q: 7П 2П Convert the point (p, 8, 6) = (5, " 4 3 expressions, or decimals to at least one decimal…

A: in cartesain coordinates x=psinφcosθy=psinφsinθz=pcosφgiven  (p,θ,φ)=(5,7π4,2π3)

Q: Perform vector operations. Let Q=(4,1) and S = (2, -7). Find the component form and magnitude of the…

A: Given query is to find indicated vector and it's magnitude.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by y =…

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Q: 1. [DA2] Consider the graph of the function f(x) defined over the interval [-5,7]. -5 -4 -5 4 3 2 1-…

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Q: QUESTION 2 If f(t) is the inverse Laplace transform of F(s) = 38.0655146338012 O 71.809579267602402…

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Q: Find the magnitude and direction angle of a vector. Find the magnitude and direction angle of the…

A: Given vector:- -4,3

Q: Question #14 An object is launched into the air. Its path is calculated using the function s(t) =…

A: Here we have to apply the application of differentiation.

Q: The cost in millions of dollars for a company to manufacture x thousand automobiles is given by the…

A:

Q: Sketch the graph of a differentiable function y = f(x) through the point (-2,2) if f'(-2) = 0 and…

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Q: Given f(x) = 1 e + 3 sin 2x. Taking 1.2 as a first approximation to a, apply the Newton-Raphson…

A: Please see the below picture for detailed solution.

Q: Evaluate the given expression. Take -0.75 -3 -2 A = 3 A+B-C -0.5 1 0 1 -1 2 0 -2 ↓↑ B 0.25 3 DJ-D 0…

A: Given :

Q: -S dx x² + 2x + 5

A: Question no. 29,Giiven,             ∫1x2+2x+5dx

Q: Consider the function ƒ(x) = −6x² + 8x − 11. (a) Find all critical numbers c of f. C = 2/3 (b) The…

A:

Q: 500 e-√u du.

A: To decide whether the following integral converges or diverges and to evaluate it if it converges.…

Q: A particle moves along the x-axis so that its velocity at time t≥ 0 is given by v(t) = 1. What is…

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Q: Find f'(x) if f(x) = -8,2cos. f'(x)

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Q: Find the position of vector if G is the starting point and U is the end point: U = G= O O O

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Q: - / 2x³ - 8x² - 63x + 10 X 2 x² - 4x - 32 dx

A: We are required to find the value of ∫2x3-8x2-63x+10x2-4x-32dx

Q: is given x + x +1221-3 values A function y = For what of the function function always increasing?

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Q: Identify the coordinates of any local and absolute extreme points and inflection points. Graph the…

A: Given : equates to zero

Q: USE THE GRAPH BELOW TO ANSWER QUESTIONS 6-10 Far Ba Question #6 - Which is true about x = D? a)…

A:

Q: If f(x) = 4x² 9x38, find f'(x).

A: To differentiate the given function f(x).

Q: Use the Second Derivative Test to find the relative extrema for f(x) = 2x³ - 24x

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Q: Direction: Find the complete solution of differential equation and use typewritten. (Non-…

A: Given differential equation:- dydx-my=cemx

Q: 3. The height of a hill is given by z=-5y²-32² + 16x +12y +36 + 6ry Where is the height, z is the…

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Q: 2. Suppose that y is proportional to the 5th power of x and that y = 96 when x = 2. What is y when x…

A: 12) Given;  y is proportional to the 5th power of x.  Repost the next questions.

Q: II) Consider the two vectors u = and v=. a) Find |u| and |v|. b) Find u x v, u x vand u. v. c) Prove…

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Q: Find the equation of the tangent line to the curve y = 8 ln(x³ — 7) at the point (2,0).

A: equation of tangent line is y=mx+cm=slope=dydxd dx(lnx)=1xd dx(xn)=nxn-1

Q: To estimate the area A under the graph f(x) from x=0 to x=4 using n approximating rectangles and…

A: f(x)=1+x3from x=0 to x=4

Q: fő Wo Sin ze da L

A: Given query is to find the integral.

Q: Find if y -Vinx-1. dy dx dy dr

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Q: Find the first three nonzero terms of the Maclaurin expansion of the given function. f(x) = In (1 +…

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Q: Find the minimum value of f(x, y) = x - xy + 2y2 subject to the constraint x - y = -1.

A: