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Q: 10. S V9x2 + 64 11. ( sech?(In x) 12. S cosh(5x – 7) dx

A: Given

Q: The traffic flow rate (cars per hour) across an intersection is r(t) = 500 + 600t – 120t2, where t…

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Q: Let F= (x,y) and C be the circle of radius 3 centered at the origin oriented counterclockwise.…

A: There are two approaches to finding the solution to a given problem.

Q: complete

A: As per policy only first three questions are answered. Please refer to the image below

Q: Give a solution to the system -Lis -10. 2 3 - 15 ¤(0) by solving the IVP with initial condition…

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Q: 3 of 7 f(x) = {x - 2, *5 3 x+4, %3D is continuous everywhere. x > 3 O false O true

A: Given query is to find function continue or not

Q: If f(x, y) = 16 − 4x^2 − y^2 , find fx(1, 2) and fy(1, 2) and interpret these numbers as slopes.…

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Q: Chain Rule, Higher Order and Implicit Differentiation Solve the problem and give a detailed…

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Q: 7. Evaluate [(5+ e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a d

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Q: 2. lim b.) Caiり→(2)×り - 1

A: Put x=1,y=2,z=3 in the given expression to obtain the answer

Q: - Evaluate sin 0 if cos 0 = 2/5 and 0 is in quadrant I. Evaluate cos 0 if sin 0 = -1/4 and 0 is in…

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Q: 1. Algebra: Compile 1 application problem for introduction to algebra with solutions and correct…

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Q: 16) 4xy dx - (6x² +y)dy co

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Q: dr Vr – 9 3

A: We can find the integration as below.

Q: Find y'' of x⁵ - y⁵ = 1.

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Q: lim x⟶0−        f(x)= B) lim x⟶0+         f(x)= C) f(0)= D) Determine whether the function f is…

A: We have to find the limit

Q: evaluate the integral - sin (x) dx (x) 1- sin |3|

A: The given integral,      ∫sin(x)1-sin2(x)dx

Q: Fill in the missing correct answer to simplify the given complex fraction. Complex Fraction: X-y x2…

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Q: Problem #2: Differentiate f(x) = [(4x* – 5)(3x² – 9x – 5)]° and solve f'(2). (5 pts.) Solution:…

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Q: C) 8 +C

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Q: Choose the derivative of sec-(æ). 1 1+ 22 1 - 1 1 V1-3 1 aVa - 1 1 1+ 22 1 1 - a2

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Q: 7. Evaluate [(5+e*)dx. A) e* +C C) Ce* +5 B) 5x+e* +C D) 5+e* +C a

A: Given: ∫ 5+exdx

Q: y - arcsin(4 + sin(x)) dy Calculate da Type sin(x) for sin(a), cos(x) for cos (a), and so on. Use…

A: The given equation is;  y=arc sin[4+sin(x)].

Q: For each of the following problems differentiate the given funct h(w) = w² – 3sinh (w) g(x) = cos(x)…

A: We have to find the derivative

Q: Problem 4 Solve x Iпy lnx dy + dx

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Q: ind an antiderivative of the following function by trial and error. Check your answer by…

A: We have to find integral

Q: Consider the solid of revolution obtained by rotating the region inside x2 + (y – 4)² = 9 about the…

A: Given problem:- | Consider the solid of revolution obtained by rotating the region inside x² + (y -…

Q: Question 11 Find the area of the triangle having the given measurements. Round to the nearest square…

A: Given    Angle C = 100°   Side a = 3 yards    Side b = 8 yards

Q: 8 Find tong 20. 1f (us @=4 and sn e

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Q: df df Calculate the first order partial derivatives and find and dy dx f (х, у) %3D (ху — 1)2

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Q: For items 14-16. Solve the following systems of inequalities graphically. x- ys 2 14. x+ys 2 X2 - 2…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: What is an equation for the cosine graph shown below? 11 -10 6- 8 -7 -5 4 -2 1 -135 -90 -45 45 90…

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Q: a. Use the Intermediate Value Theorem to show that the following equation has a solution on the…

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Q: 4x 12. Using tools from calculus plot graph of f(x) = Make sure to find critical 1+x²° points,…

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Q: 1 lim, „(e* + x)÷ +00

A: Explained below

Q: Use a change of variables to evaluate the following indefinite integral. 8. dx O A. u=x° + 28 O B.…

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Q: Solve the triangle. Round your answer to the nearest tenth. mLA = 46°, c = 9, a = 8 mLB = 8°, m2C =…

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Q: 8. Evaluate dx . 6x A) +C 6. D) -C B) +C 5x 7x7 O b C O d

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Q: X -5

A: We have to find the function

Q: dx x2 – 6x + 10

A: We can find the integration as below.

Q: Find the equation for the tangent plane to the surface x-9xyz +y= - 11z at the point (-1,-1,-1). O…

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Q: For y = arccot(7 e*) dy da

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Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.015 per…

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Q: Convert the equation to the standard form for a hyperbola by completing the square on x and y. 9y-4x…

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Q: Question 23 Find the standard form of the equation of the ellipse satisfying the given conditions.…

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Q: Question 2 (. Consider the function f(x) = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: As per guidelines, I can answer maximum three subparts of a question. Since there are multiple…

Q: If an+1 4n+5 4n +7 Up then the series E an n =1 is divergent Select one: O True O False

A: Given query is to find series converges or diverges.

Q: If f(æ) = 8 sin-(*), then f (2) =

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Q: Find the length of the indicated portion of the trajectory. r(t) = (1+2t)i + (1+8t)j + (4 – 4t)k, –…

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Q: 4In(Arctan x) = 1-y

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