1. Find the angle between two vectors a and b with magnitudes √3 and 2, respectively having a b = √6.

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Q: 3 S S t² etu du dt

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Q: I. 7. Evaluate each determinant. -3 4 -5 2 -3 -5 1 3 5

A: To evaluate the determinant -34-52-3-5135

Q: Find the solution of the given initial value problem. ty' +4y=t²-t+7, y(1) = 4, t>0 y =

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Q: A) Match each equality with the letter corresponding to the property it illustrates. Responses may…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the first and second derivatives of the function. Check to see that your answers are reasonable…

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Q: 1. Identify the surfaces of the following equations by converting them into equations in the…

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Q: Evaluate [x² √2x+1dx

A: Indefinite Integration

Q: For the following exercises, use the second derivative test to identify any critical points and…

A: Given :f(x,y)=-x2-5y2+10x-30y-62

Q: For f(x) = {²-1 if > 2 5-x if x < 2 Of is not continuous at x = 2 Of is differentiable at x = = 2 Of…

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Q: cos x(sec x + tan x)dx

A: Given ∫cosx(secx+tanx) dxTo evaluate the integral:

Q: Q8. Solve the following D.E to find y as a function of x : dy dx y sin 2x 3y² cos2x

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Q: + ₁2²x + 2y dy dx

A: I have stated the used formula in the solution

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Q: Derivative of arctan(ln(n))

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Q: -2 Evaluate: ²₁²[(x²-²²] 0 x+y du dt

A: Topic = Integration

Q: For f(x) = √ √2-4 4- ™ Of is not continuous at x = 4 Of is continuous at a Of is continuous at a 5…

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Q: Let f : R 7−→ R be defined by f(x) = 2 − 5x. Show that f is bijective, and find f^(−1)(x).

A: Let f:R→R be defined by f(x) = 2 - 5x.

Q: cln s Evaluate the integral: St² főr teu du ds dt

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Q: Evaluate the double integral that will find the volume of a solid bounded by z = 1-2y² - 3x² and the…

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Q: Q3 A) Write the first five terms of the following: - 2. {1- (-1)") (3n+2 B) Determine which of the…

A: "since you have asked multiple question,we will solve first question for you.If you want any…

Q: -In Evaluate the integral: ²²ste du ds dt

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Q: Evaluate the following [s sin(4x) dx cos(4x)/4 + C -4cos(4x) + C - cos(4x)/4 + C O-4cos(4x) + C

A: To evaluate: Integral

Q: What is the derivative of d(z) = cosh (csc z)? O A. d'(x) = csc x O B. d'(x) = - csc x OC. d'(x) = O…

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Q: 5x 2 Evaluate: f fx fdz dy dx 2

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Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Evaluate: xy² dx dy [√ 0

A: We have to find value of given definite double integration.

Q: Evaluate the integral: S/2 sin(4t - u) du dt

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Q: Evaluate the integral: f/2 sin(4t-u) du dt

A: To evaluate: ∫π2π∫0tsin(4t-u) du dt

Q: The derivative of y with respect to a given ¹ = 1 is Oy' = yx²-¹ O y'= 0 Onone of the choices Oy' =…

A: I have stated the used formula in the solution.

Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

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Q: Find the point on the line y = 8x closest to the point (1,0). (Use symbolic notation and fractions…

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Q: f(x) = x - 3, g(x) = x² Find (f + g)(x). 2 - (f + g)(x) = x+x-3 Find the domain of (f + g)(x).…

A: It is given that f(x) = x-3 g(x) = x2 We need to find the solution to the given questions.

Q: Which of the following is true about the function a(x) = 21² +1-6 #-+-2 O A. a(z) has an infinite…

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Q: و و ۹۷۶) (0) لا او A 2 1 - X Jx (x+2 - 4

A: This is a problem related to differentiation. Based on the general formula and concept we will…

Q: 1. Find the Inverse Laplace Transforms of the following. 4) 48-60√s s4

A: A detailed solution is given below.

Q: swers: i i Mi 0 0 O

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Q: 1. Find the cofactor of 6 in matrix D 9 8 4 2 -9 3 4 D= -3 2 3 3 2 968 7 6 (8 9

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Q: 2. Express the iterated integral as a double integral in polar coordinates. 1 X 1 Lo dy dx 16/2 x² +…

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Q: 2. I. -4 1 Evaluate each determinant. 3 -3

A: -431-3=12-3

Q: Consider the parametric curve: X = = 7et y = 3t5 Which integral gives the arc length of the curve…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: 22. Find a domain for the quantifiers in 3x3y(xy^ Vz((z=x) v (z = y))) such that this statement is…

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Q: Find the solution of the given initial value problem. v- 7 y = y' cost t-7' y (π) = 0, t> 0 y(t) = =

A: The standard form of the first-order differential equation is: dydt+Py=Q Where P and Q is the…

Q: Determine the general solution of y" - y = 0 given y₁(x) = e e-2x using reduction of order

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Q: If the total cost function is given by TC = 300+5g+then the marginal cost function MC = Ⓒa. 5g + / 3…

A: We have to solve the given 2 question.

Q: 3 Evaluate: ₂(4x²y - z³) dz dy dx

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Q: Find the area of the region bounded by the curves 1 y = (x+8)²¹ Y = 4 and the x-axis using vertical…

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Q: 2 3) 9 = x ² sin x y વચ્ચે ઝ 4) y = sin x 1-2 cos x

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Q: 5x 3 Evaluate: fffdz dy dx 2

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Q: Evaluate the integral by making the given substitution. (Remember to use absolute values where…

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