Question 1 What is the exact value of csc 0_213 0 2√3 O 0-√√2 02 (167) ²

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: Find the shortest distance between the (entire) line L1 passing through the points A(1, 1, 2) and…

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Q: 5T A positive angle less than 47 that is coterminal to 4 Part: 1/2 Part 2 of 2 is 57 A negative…

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Q: In each of Problems 1 through 8: Ga. Draw a direction field for the given differential equation. b.…

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Q: 2. Let u=i+aj +3k and y=2i-3j+ ßk i. ii. iii. If u is parallel to y, find the values of a and B Find…

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Q: Given the function g(x) = 6(8x+10)6, find g'(x). g'(x) =

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Q: Use the final value theorem, the final value of f(t)=6. (et +2) - 10 is.....

A: Final Value Theorem:- For a function or system  f(t) is given by f(∞)=lims→0sF(s), where F(s) is the…

Q: The graph below is the function f(x) -5 -4 -3 -2 -1 lim 11 lim #→-1+ 54 4 3 2 |-1 -2 N -3 4 -5- f(x)…

A: Topic- Limits and Continuity

Q: 2. y' y' = ysecx

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Q: numbers a and b, or k, so that f is continuous at every point. 4) x2, x -4 A) a = -9, b = 20 120 15)…

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Q: f(x) = 9+x= x + 1 f(x) = f(4) X-4

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Q: Find the derivative of the following, using first principles a) 2x2 b) x3 c) 8-x2

A: The given functions are a) 2x2b) x3c) 8-x2 Definition:     First principles to find derivative of fx…

Q: f(x) = 5x³ - 15x² + x - 30 Select the correct statement/s: A. f(x) is strictly convex on (-1, ∞) B.…

A: NOTE: Refresh your page if you can't see any equations. . take derivative here derivative of…

Q: The displacement (in centimeters) of a particle moving back and forth along a straight line is given…

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Q: 8. Evaluate: lim |5-x| x-5-5-x

A: To evaluate the following limit.limx→5- 5-x5-x

Q: Find the next three items in the pattern. Be sure you understand (can justify) your reasoning. A0,…

A: As per Bartleby answering guidelines if a questions has multiple sub parts then an expert is…

Q: Use the given graph to determine the open intervals on which the function is either increasing,…

A: Graph of the function is given, we have to find the intervals for which the graph is increasing,…

Q: sin 3x cos 3x (cos 3x + 1)² dx 19) f 22) fex√3-4e2x dx 20) f ITV In x dx 21) f x√4 lnx-1 23)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: Graph on a cordinate plane by hand or a graphing device 2x-3y=18 3 -X -x + ²y = 8 zy If there is one…

A: The given equations, 2x-3y=18-x+32y=8

Q: 1) Find the difference quotient of f(x)=x². That is, find f(x+h)-f(x) for h#0. Simplify so h that h…

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Q: x-2 x-2x²+x-6 5. Evaluate: lim

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Q: Find the solution of the differential equation (6x² − y + 3) dr+ (3y² - x - 2) dy=0 1 O x + O 2x³ O…

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Q: 2 xa tinh xx > 11/ash+²³1 +0

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Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

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

Q: sing the substitution u = √x + 3, evaluate 2 S. VELVE √(√x + 3)2 dr.

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Q: The graph of a function f is given. y 1 1 Determine whether fis continuous on its domain.

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Q: f(x)=(x-6)³+4, [4,7],f(c)=3 3

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Q: f(x, y, z)= 1+ 2xy³+3y- Find the following: a) fz(x, y, z) b) f(1,1,1) c) fz(x, y, z) d) f.(1, 1, 1)

A: NOTE: Refresh your page if you can't see any equations. . take the partial derivative with respect…

Q: (d) y' = x(1 + y²), y=tan(\x²)

A: Solution of the differential equation satisfy  the differential equation

Q: Add 2.33 × 103 to 4.16 × 102 and express the x X answer in scientific notation. 27.5 × 10² X 4.39 ×…

A: Add the expression.

Q: Find the following limit. Answer as either an integer or a fraction. (No decimals.) Enter INF for…

A: The limit is given by limx→1x-1x2+7x-8 To evaluate: The value of the limit

Q: Assume that is an acute angle. If sec8=6, find the exact value of sin 8. Write your answer as an…

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Q: Find the perimeter of the following closed figures

A: Finding the perimeter

Q: 3. 4. dy dx xdx x² (y² +³) + y (x³+1) e-x + (Y+) dy y ³ = 0 = 0

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Q: 2. Let h(x) = f(x) · g(x) and j(x) = f(x) / g(x). Complete the table using the information about f…

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Q: Use the divergence theorem to find the outward flux of the vector field F(x, y, z) = 4x²i + 5y²j +…

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Q: What are the steps to factor x3-3x-52

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Q: O V(2)-V(1) 1 O V(lim t) t-1 The size of a balloon is changing with respect to time, such that the…

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Q: 2. Evaluate y dV, where: E = {(x, y, z) |0 ≤ x ≤ 1,0 ≤ y ≤ 4x, y ≤ 3. Find the gradient vector, Vf,…

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Q: The number of pet dogs in the United States can be represented as  p(t) million where t is the…

A: Given 1. p0=65.2 2.There were 66.9 million pet dogs in the United States in 2009.

Q: Set up an integral representing the area A of the region enclosed by the given curves. y = 5x,   y =…

A: Given :

Q: average

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Q: maximum

A: The fine F for violating these limits is $10 for every mile above the maximum or below the minimum.…

Q: 3. Find the area of the region enclosed by the curves y = x² + 2, y = -x, x = 0, and x = 1. (a) (c)…

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Q: Evaluate the difference quotient for the given function. Simplify your answer. f(x) = 2 + 2x - x²,…

A: The given function fx=2+2x-x2 we have to find the difference quotient f5+h-f5h

Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12

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Q: Find the value of c such that the function is continuous on the entire real number line. f(x)=…

A: Topic = Functions

Q: 2 2. f(x) = 5-x², (3,-4)

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Q: skills. AJ re* d 3. [xln(x) dr A.I 5. x²e - dx arctan(r)dx besche Art of (In.2) ² (7.). FRAZA dx…

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Q: 4. Find the total area bounded by given curve and the x-axis. 4a) y = 3x² + 1, 0≤x≤1 4c) y =

A: 4a) Given curve, y=3x2+1,                   0≤x≤1