Given a vector with the initial point, (3,1) and the terminal point, (-4,2), find unit vector form. O-7 i+3j O i+3j O-7 i+j O i+j

Q: Find the coordinates of the point P on the line and a vector v parallel to the line. x = 5t, y = 9 –…

A: Let's find.

Q: sin x e" dx Cos x

A: To evaluate the given integral.

Q: ९ -ज 2/37Find A if A by using invers ومكمواط अ 3. ww.

A: A=23-41233-1-1A=2 23-1-1 -3133-1 -4123-1     =2(-2+3)-3(-1-9)-4(-1-6)     =2+30+28A=60 ≠0A-1 =1A adj…

Q: 4. Use §4.4 guideline to sketch the curve: y = x- 4x/3. A). Domain, Symmetry, Asymptotes,…

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Q: Use Forward and Backward differentiation to calculate f' (1) as accurately as you can. Let h = 0.08…

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Q: discussed under Bernoulli Equations dy 2y dr

A: dydx=2yx-x2y2dydx-2yx=-x2y2the above eq is of the form dydx+P(x)y= Q(x) ynP(x)=-2x, Q(x)=-x2 , n=2IF…

Q: 6. A firm estimate that its daily cost function of producing and selling x items is C(x) = x³ – 6x²…

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Q: Find the equation of the tangent line to the curve y = 6 sec z – 12 cos z at the point 6). The…

A: y'=secx-12cosx' =secxtanx+12sinx Slope = secπ3tanπ3+12sinπ3=83. So, we have possible equation of…

Q: Determine whether u and v are orthogonal, parallel, or neither. u = (2, 18) 3 v = 6 O parallel O…

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Q: 2x²+3 (교2+1)2

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Q: a). Determine whether the Mean Value Theorem applie b). If so, find the point(s) that are guaranteed…

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Q: Directions: Determine whether the given functions is continuous, differentiable, neither, or both at…

A: d.According to graph of d. at x=0limx→0-dx=limx→0+dx=limx→0dx=finite.So, function is continuous. at…

Q: Solve the equation (3a^2+3m^2)da - 6amdm=0  What's the value of C

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Q: y(x) =x' (2x – r²)

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Q: Find the area enclosed between the curve y = 9 - x squared and line y = x + 7

A: This question is based on application of integration.

Q: Use the formula for arc length and the equation x2 + y2 = R2 to derive the formula for the…

A: Use the formula for arc length and the equation x2 + y2 = R2to derive the formula for the…

Q: Find an equation of the plane with the given characteristics. The plane passes through the point (6,…

A: General equation of a plane passing through a point P(p,q,r) is given by,…

Q: (ii) Find the following indefinite integrals: 1 (a) dx (b) dx 5 - x* xe* ! dx (c)

A: A)I=∫ 1x3+1x3 dxI=∫ x-3 dx + ∫ x-13 dxI=x-3+1-3+1 +x-13+1-13+1 +CI=-12x2+3 x232 +CI=32x23 -12x2+C

Q: en magnitude and the same direction as u. tion -8, 6, 4)

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Q: The coefficient of sin(x) in the antiderivative of F(x) = cos is Blank 1 (use fraction form not…

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Q: Determine the value of C in on the antiderivative of F(x) = sin°(x)cos³(x) for x = 0.701 and y =…

A: Let's find.

Q: Nhich of the following p-series are divergent? 00 ロと-4 S ロEsk-品 Σ 6666 10000 k38 ロと-7 1 k=7 ロEk…

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Q: a) cos(xy)=2y, find y' DI y = cot-1 1+x 1-x

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Q: If x =0.51 and y = 0.1, then value of C in the antiderivative of F(x) = xsin-(x) is V1- x2 Add your…

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Q: A table of values for f(x), g(x), f'(x), and g'(x) has been given. Ax) g(x) f'(x) | g'(x) 3 2 -5 1 2…

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Q: the length of a parametric curve: x = 2t + 1 ; y = t2 - 3 ;  0 < t < 5

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Q: Determine whether the planes are parallel, orthogonal, or neither. 2x - 10y - 2z = 5 4x - 20y – 4z =…

A: Solution is given below:

Q: Determine the value of the arbitrary constant of the antriderivative of F(x)= x<In(x) given the…

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Q: Find the centroid of the region bounded by the given curves: y = 1 + 2x2 ; y = 3 ; x = 0

A: To find the centroid of the region bounded by curves: y=1+2x2,y=3,x=0 The bounded region is:

Q: Beth bought 15 tickets to a movie, where adult tickets cost $6.00 and senior citizen tickets cost…

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Q: d) y = sinh(lnx)

A: As per your request I will solve d part

Q: For numbers 13-14. Consider the graph of the function. 13. Which of the ff. points does the function…

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Q: Let F(x) = f(x) + g(x)e* + h(x)e²× + C be the antiderivative of G(x) = (x+ e*). Determine the value…

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Q: Let f(x) = /20 – x. Compute f'(4) using the limit definition f'(4) - - Find an equation of the…

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Q: 10) Find the cross product a x b and verify that it is orthogonal to both a and b. a =  j + 7k,…

A: Let's find.

Q: Match the integral expression on the left to an equal expression on the right. Prompts Submitted…

A: Topic = Integration

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

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Q: Find an equation of the plane with the given characteristics. The plane passes through the points…

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Q: (3) An instructor wants to create a test that has true-false questions, multiple-choice questions,…

A: Given: A test has true-false questions, multiple-choice questions and essay questions. Test have 35…

Q: Find a and b such that v = au + bw, where u = (1, 2) and w = (1, -1). v = (9, 3) a = b =

A: This question is based on vector form.

Q: Evaluate: /x?cos(2x)dx 2x2sin(2x) + 2xcos(2x) – sin(2 x) А + C 4 2x2sin(2x) – 2xcos(2x) – sin(2x) +C…

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Q: 2:07 AM Tue Apr 5 AA www-awu.aleks.com ALEKS - Emil... Crunchyroll .. TAL. Polk K12 Session Can.. O…

A: We know surface area of a cylinder with a base  radius of r unit and height h unit= 2πrr+h unit2.

Q: Differentiate the function In x f(x) = In 2x+3'

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Q: Find the Taylor series generated by e at x-l Compare ansner with

A: We have to find the Taylor series of the given function.

Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

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Q: y(x) =x' (2x – r²)

A: solution

Q: 0; x 0

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Q: By using substitution, show that x = 4 pi / 6 is a solution to the equation sin (2x) = cos (x). Show…

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Q: Applications of Differential Equations A certain radioactive material is known to decay at a rate…

A: Let's find.

Q: Sx²cos(2x)cx Evaluate:

A: This is a problem of integration. Based on the multiplication rule of integration we will solve this…