any unit vector dotted with itself is unity, aA aA = 1

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Q: Evaluate (2x + y)ds, where C is the line segment from (0,2) so (3,-2), i.e., C: r(t) = (3t, 24t), 0…

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Q: If ƒ(x) = (6x² — 5) (4x + 2), find: ƒ'(x) = ƒ'(3) =

A: We have given function  fx=6x2-54x+2 f'x=ddxfx f'x=ddx(6x2-54x+2) f'x=6x2-5·ddx4x+2+4x+2·ddx6x2-5…

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Q: Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

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A: Use the concept of derivative of polar equation and solve for horizontal and vertical tangents.

Q: The following functions are inverses of each other. f(x) = 3x - 7 and g(x) = x+3

A: given function f(x)=3x-7 and g(x)=x+73

Q: 8. Find the equation of the line tangent to f(x) = (x² - 3)4 when x = 1. Write your answer in the…

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A: Given query is to find the distance fallen in 8 second.

Q: Set up an integral for finding the Laplace transform of the following function:

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Q: Find the absolute maximum and absolute minimum values of f(x) = x³ – 6x² – 15x+9 on [−3,3], along…

A: The objective of the question is determine the absolute minimum and maximum of the question.

Q: Evaluate the integral using partial fraction method S Evaluate the integral using integration by…

A: To find integral. As per our guidelines we are supposed to answer?️ only one question. Kindly repost…

Q: Let u = i - 3j + 7k, v = i + j and w = 2i + 2j — 4k. Find ||u+v||. NOTE: Enter the exact answer.…

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Q: At what points (x,y,z) in space are the functions continuous? a. h(x,y,z)= In (2z - 4x³ - 4y - 1) 1…

A: The function f(x,y,z) is continuous if the limit at each point is existing and is equal to the…

Q: 6x+y For the function h(x,y) = 5xy-1 find Əh | and əh ay

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Q: Express the integrand as a sum of partial fractions and evaluate the integral. 2x+21 2.9x+18 In In…

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Q: For an online gaming store, the function n = f(p) gives the average of number of daily downloads, n…

A: p0 is the current price per download.n=f(p) is average number of daily downloads as a function of…

Q: 18. fcot'0 sin¹0 de 20. f cos³x sin 2x dx 22. ² sec (1/2) di

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1-47 Evaluate the integral. 1. fsin'x cos³x dx 2.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 3 Find the derivative of: -10√x + x³ Type your answer without fractional or negative exponents. Use…

A: The answer is in step 2.

Q: Find the length of the arc formed by 2 = 9y³ from point A to point B, where A = (0,0) and B = -…

A: Please see the below picture for detailed solution.

Q: Evaluate the integral using partial fraction method (x² + 5) (x² + 1) (x − 9) (x − 8) - J dx

A: Given integral:- ∫x2+5x2+1x-9x-8dx

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Q: Determine the sum of the series

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Q: Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j…

A: We have to find the vector in given question.

Q: 15. Consider a box with dimensions 3 cm x 5 cm x 11 cm. If all of its dimensions are increased by x…

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Q: Find the component form of the vector v in 2-space that has the length |||v||=10 and makes the angle…

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Q: QUESTION 1 If f(x)=x and g(x)=k-x are orthogonal over [0,1]. Then k = ..... O 1 O O N/W W/A W/ W/N…

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Q: A car drives from Tucson to Phoenix, and is d miles from Tucson after t hours. t d 0.5 1 43 1.5 2 3…

A: Answer: The solution is given below:

Q: Consider the region R enclosed by all of the curves y sin z, y = cos z, z = π/2, and z= . Which of…

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A: x is a function of y    here we find value of c by equating two values at same point

Q: The functions are all solutions of equation: C = с y = x² + € / xy + 2y: = 4x², (x > 0). Find the…

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Q: At what points is the following function continuous? f(x) = x²-2x-8 X-4 6, 1 x #4 x = 4 The function…

A: f(x)=x2-2x-8x-4,x≠46,                   x=4at x=4, f(x)=6

Q: I. Evaluate the following limits of trigonometric functions. Provide solutions and box your final…

A: To evaluate the given limit of function

Q: Find the component forms of v+w and v- w in 2-space, given that ㅠ ||v|| = 7, ||w|| = 3, v makes an…

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Q: Given t(x) = 2x² - x. a. Find the point of tangency to the curve at x = 3 b. Use the definition of…

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Q: not all questions are answered, and are incorrect

A: According to me all questions' answered are correct

Q: 4x x+1 a. Calculate the critical numbers. 2. Given the function y=x-- b. Determine the absolute…

A: Given the function y=x-4xx+1. (a) To calculate the critical numbers. (b) To determine the absolute…

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Q: Evaluate n Σ'(t) n - k + 1, k=1 n+1

A: To evaluate the following expression.  ∑k=1n+1 knn-k+1

Q: Calculate line integral 9 F-dr, where F(x, y) = (x² + y, 3x −y) and C is the positively oriented…

A: To calculate the line integral of the vector field F along the boundary curve C, we need to…

Q: Finn all local and global maxima and minima for the function f(x) = 2x3-3x + 2 in the interval [-1,…

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Q: Write a mathematical model for each of the following statements. Use k as the constant of variation.…

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Q: √√3 9. ² 2 0 4x² (1-x²)z dx

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 2. Mr. Wilson, Ms. Gallert, and Ms. Stenhouse have a combined total of 44 years of teaching…

A: according to guide line we do only first part of multiple questions (2)  total =44 years let s…

Q: Graph the following equation using shifts of a basic function. f(x)=x2² +2 O O O

A: Topic = Function