sec+2x tan 2x and -dx 11 1 I + 12 tan 2x 16 tan³2x Ⓡ (cor³2x) ( 1+3csc22x 12 Ⓒ/cot²2xcot³21+C 16 cot³2x (4sec 22x-1) 12 +C +C +C

Q: Which of the following is the inverse of f(x)=√x²-4? 2 ƒ˜¹(x)=√√√x² − 4 ƒ-¹(x)=x-2 - Option 1 O…

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Q: Using integration by parts, Then k is? (a) - 1.5136 ²x³ cos x³ cos(x²) dx = k - [*x sin(x²) dx 0…

A: Solve it

Q: Question 10 Terry is skiing down a steep hill. Terry's elevation, E(t), in feet after t seconds is…

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Q: The equation 2k² - 3k 10 = 0 has solutions of the form k N± √D M (A) Solve this equation and find…

A: The given equation,    2k2-3k-10=0

Q: 10. Given the following contour map: (Explain your answers) a) Is the surface a mountain or a…

A: 1 here is centre side (inside ) the contour level is increase so this is contour of mountain.   2 P…

Q: a. Find the volume of the solid obtained by rotating the region bounded by y = x³, y = 8, and x = 0…

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Q: A clothing business finds there is a linear relationship between the number of shirts, n, it can…

A: Topic:- linear function

Q: Explain why you think the sequence converges to a finite number or (n+1)! diverges. If the sequence…

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Q: How long will it take for a $3000  investment to grow to $17,556 at an annual rate of 11% ,…

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Q: raduation from college, Warren Roberge was able to defer payment on his $22,000 student loan for 6…

A: Topic:- algebra

Q: Integration by Parts 4. fxe4x dx 5. [ e* cosx dx

A: This question can be solved using the concept of integration by parts.

Q: Find the curvature and the radius of curvature at the point t = 0. x = et cos(t), y = et sin(t), z =…

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Q: f(x) = 8x + 2x−¹

A: answer is in next step

Q: 8. The integral What is the value of A. B. can be rewritten as 15x²x³43x - 19 (x + 1)²(x² - 6x +13)…

A: Let's find.

Q: If f cos42t dt = At - B sin 2t cos 2t + D sin 4t cos 4t + C where A, B, C and D are constants, 2A-3B…

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Q: Find exactly T(t) and N(t) for x = e'cost, y = e'sint, z = e' for t = 0. [Choose the correct…

A: Given that : x= etcost and y=etsint and z= et for t=0.     Here i attached the solution of this…

Q: Find the integral: x2-2/x+1 dx choices: a) x2/2 - x - In(x+1) + C b) x2 - x - In(x+1) + C c) x2…

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Q: d. Find an equation of the normal line to the graph of y = √x + 1 at the point (3, 2).

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Q: log(x+3) z-1-1-cosh(cos-12) 4. lim

A: Given,            limx→1-log12x+31-coshcos-1x

Q: Calculate the derivative. f(x) = 6-9x¹/3 +9e* (Use symbolic notation and fractions where needed.) (6…

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Q: Question 12 5x + 5 Given: f(x) 4z-4 Find the inverse function, f-¹(z). =

A: Given query is to find the inverse function.

Q: Solve 4t² +8t+4= 0 by using the square root method. Hint: complete the square first! Enter each…

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Q: Question 14 If f(x)=x+4 and g(x) = -4, (a) f(g(x)) (b) g(f(x)) (c) Thus g(x) is called an function…

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Q: 1/(x) = ² x ³² - 2² x ³² + 4x +4x. Find 12. Given the function All critical points of f(x) (b) The…

A: f(x)=13x3-52x2+4xa) Differentiatef'(x)=13.3x2-52.2x+4f'(x)=x2-5x+4For critical points…

Q: Find an equation of the plane containing the point (3,0.-4) and perpendicular to the line r(t)=…

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Q: a) lim f(x) 2-0- c) lim f(x) e) lim f(x) 4 3 2 1- 0 + -1- Š 4 b) lim f(x) 2-0+ d) f(0) f) lim f(x)

A: a) limx→0-f(x)=-∞b)  limx→0+f(x)=2c) limx→0f(x)=Does not existd) f(0)=2

Q: Cristina wants to enclose a rectangular field with four internal partitions as shown. If there is…

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Q: Question 8 Jesse wants to build a rectangular pen for his animals. One side of the pen will be…

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Q: Find the area (in square units) of the region under the graph of the function f on the interval [0,…

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Q: Find the average value of the function over the given interval and all values of x in the interval…

A: Given query is to find the average value ifbthe function.

Q: a's father is planning to open a savings account to pay for Amelia's college education. He has found…

A: Given query is to find the value of deposited amount.

Q: Question 8 3 (2x+4)³-8 } is

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Q: trigonometric substitution, what is f √x²-9 x3 sec ¹(-₁)-² + C √x²_9 2x² sec 6 ¹(-)- √x²_9 2.x² + C…

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Q: A hot air ballon is hovering 83 meters above the ground and begins to assend at a rate of 9 meters…

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Q: Find the limit. NOTE: Enter the answer using round brackets. t² +4 1 lim = (?, ?) t→+∞0 8t² +9¹ 5t

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Q: Find I see sec42x tan 92 dx

A: The objective of the question is evaluate the indefinite integral.

Q: Compute the area bounded by the curve y=3x² and the lines y=0 and x = 3,

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Using trigonometric substitution, what is f √x²_9 x3 A sec-¹(²) + √x²-9 2x² + C sec (-)- √x²-9 6x² +…

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Q: Find the volume of the solid obtained by rotating the region bounded by y=x^3, y=8, and x=0 about…

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Q: 11. Given: √√√-x² + 4x +5 dx. Using trigonometric substitution, what is the integral form in terms…

A: The given integral is: I=∫-x2+4x+5dx That can be written as:…

Q: Given: S√-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms of ? 9…

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Q: Question 13 > Determine the number and type of solutions for the equation 3x² + 30x+75-0 O Two…

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Q: Determine whether each of the following integrals is proper, improper and convergent, or improper…

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Q: Determine the open intervals on which the graph of = 3x² +7x - 2 is concave up or concave down.…

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Q: B C D N Given: √-x² + 4x+5 dx. Using trigonometric substitution, what is the integral form in terms…

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Q: B C 1 x2-9 Consider S +3 - dx. Using trigonometric substitution, what is the integral form in terms…

A: Given: I=∫x2-9x3dx   ...1   As we know that the trigonometric identities; (1). tanθ=sinθcosθ (2).…

Q: 0, y = 0 x ≥ 1 In Exercises 49-52, determine whether the given point is in the feasible set of this…

A: Inequality

Q: Explain why you think the sequence 7 converges to a finite number or (-8)"-1 diverges. If the…

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Q: H-w.4 Find the volumes for the following solids whose Weights are defined by Z(x,y) and bases are…

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Q: A lighthouse is on an island 500 meters off shore. The lighthouse beam makes a full turn every 7…

A: