Let a = ci + jand b = 3i + 4j. Find c so that the angle between a and b is- Round your answers to four decimal places and enter the values in increasing order. C = i C2 =

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A: answer is in next step

Q: 1. Evaluate the indefinite integrals: – 2x - | а. 3x*

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A: We have to find the integral using triple coordinates.

Q: Sx*(2x + !) dx

A: Given ∫x3(2x+1x)dxWe expand it:=∫(2x4+x2)dxApply linearity:=2∫x4dx+∫x2dx

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A: This question is related to differentiation, We will solve it using given information.

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A: In the absence of immigration and emigration the growth rate of the country is given by dP/dt = kP…

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Q: Differentiate the following. Simplify your answer completely. Write your answer without negative…

A: topic - derivatives

Q: arccos(cos)

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Q: Evaluate cos[arcsin ( -) + arccos 1. (10 + 13 v3)/26 O (12 + 5V3)/26 (12 + 5V5)/26

A: Ģiven, cos(arcsin(-1/2)+ arccos(5/13))

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A: Euler's number, is a mathematical constant approximately equal to 2.71828. It can be characterized…

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Q: ). Determine whether the Mean Value Theorem applies to f(x) 3r + (1,4). -). If so, find the point…

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Q: Evaluate the limit. x4 - 7x3 + 1 lim x→-0 5 - 5x2 – 9x4

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Q: 3 Simplify cos(arctan2). √5/5 no solution 2√5/5

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Q: 7 dx 5. S- xVx-4

A: I am attaching image so that you understand each and every step.

Q: only do a) and c)

A: The population (in billions) of the world t years after the year 2000 is given by the logistic…

Q: 5. For f(r) = e (x - 5), find a). the domain, b). f', critical points, %3D c). the local maxima and…

A: As per our guidelines, I can answer maximum three subparts of a question. Since you have asked for…

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Q: If x cos t and y sin? t, then d'y/dx at t is If s 10 t+ 80/t, find the acceleration when t 2.

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Q: Can the Fundamental Theorem of Calculus be used to find 5xcosx?dx?

A: This question can be solved by applying the second part of fundamental theorem of calculus.

Q: Find the vectors that satisfy the stated conditions. NOTE: Enter the exact answers using the…

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Q: If 11 | f(z)dz 7 70 and 11 g(x)dr = 14 70 and 11 h(r)da = 33 70 what does the following integral…

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Q: 2 + x? -dx •4 29.

A: We have to find the integral

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Q: y = f(x) 3 Using the curve above, which of the below statement/s is true: O A. f is discontinuous at…

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Q: Find the absolute maximum and minimum values of the function over the indicated interval, and…

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Q: Simplify y = arccos. 3

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Q: tan(arctan 5) = _____.

A: Since we know that tan(arctan x) = x

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Q: 3- use Cramer's rule to solve the system 8x1-4x2+3x3=0 X1+5x2-X3=0 -2x1+6x2+X3=0

A: Here we have to use Cramer's rule to solve the system.  8x1-4x2+3x3=0x1+5x2-x3=0-2x1+6x2+x3=0

Q: Evaluate the iterates integrals r*dA D = {(r, y) : 1<r< e, 0< y S In(x)} %3D

A: We will use simple Integration rules to solve this question.

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Q: nd Solve:- Qz: Classify dy - 3x +(3メナリ』 = e Jス

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Q: 21. ( (3r'- + 30) dt

A: We have to find the solution

Q: Use the elimination method to find all solutions of the system of equations. (Order your answers…

A: By using elimination method to find all solutions of the system of equations.2x2-y2=17x2+5y2=14

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A: Evaluating the definite integral and equating it to 0

Q: Q11. Obtain the general equation of the curve whose slope at any point is equal to y - 2x.

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Q: dx

A: Solving the problem by finding the value of the integration.

Q: first principles. (i) x² (ii) e* (ii) log (x+ 1)

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