Use the figure to find the exact value of the trigonometric function. Find cos 20. 29 21 20 41 841 43 841 0. 41 841 840 841

Q: Evaluate the integral x(x® –4) dx 1. O 1 10 (xº – 4)" +C 50 O 1 +C 60 10 +C 10 x° ( x7 -4x +C 6 7

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Q: 1+x dx V1-x

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Q: 13. Let f(x)= x +3x-9x-13. (a) Find the intervals where f(x) id increasing and decreasing; (b) Find…

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Q: dy find the dx +Ince 义 9 = sin In Cl+e)

A: The given problem is solved below in detail.

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Q: Juliana invested $5,100 at 5.75% p.a. simple interest. How many days will it take for her investment…

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Q: If log, (5x + 6) = 5, then x = You may enter the exact value or round to 4 decimal places. > Next…

A: We will solve for x.

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Q: Activity 1. Match the functions in Column A with their corresponding antiderivatives in Column B.…

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Q: 6. If f(x)=3x' -+ 4 + 4x +1, find f(x) and f"(x).

A: Given query is to find the Indicated derivative.

Q: エ→2 x² -4 1- cos 2x 7) lim X sin x エ→0

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

Q: 2. Find the average value of the function x2 In(x) for 1 5x<3 Show your work in evaluating any…

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Q: Question 1 ( (a) Use the Second Derivative Test to find the local extreme values of the function…

A: As per guidelines, I can answer only one question. Since you have asked for multiple, so I did first…

Q: Given the geometric sequence where a, = 2 and r = 2 Find a10-. 32 256/2 32/2 256 O O

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Q: Green theorem satisfied if the region C is closed True O false O

A: Greens theorem

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A: topic- extrema of function

Q: 1.Figure out the acute angle between the planes P : 2r + 2y + 2: = 3, : 2r-2y-z 5.

A: You have asked multiple questions and not mentioned which question answer you need so according to…

Q: Ssin ³xcos³xdx

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Q: The maximum value of x +y subject to the constraint x² + y² = 1 is Write in decimal form (two…

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Q: man wishes to use 100 feet of fencing to enclose a rectangular garden. Determine the maximum…

A: Given query is to find the maximum possible area.

Q: The following are the critical points for the function f (x, y) = x³ Зху + уз - State what…

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Q: Express the limit as a definite integral on the given interval. [4(x;")3 – 4x;1Ax, [2, 7] lim i = 1…

A: Solve the following

Q: The integral (2

A: Given: ∫124xx2-43dx

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Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x -9 a. lim f(x) b. lim…

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Q: A long metal sheet with a width of L meters is formed into a gutter by bending up two of its sides…

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Q: Without evaluating the constants, the partial fraction decomposition for 5x? – 3 f(x) %3D (x3 -…

A: Given :5x2-3(x3-4x)(x2+3x+2)(x2+1)

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

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Q: ()6 = K 3- 0- 0. 3 6.

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Q: Evaluate the permutation. 5P3 60 15 125

A: We have to evaluate permutation.

Q: A differentiable function f(x, y) has the property that f(1, 4) = 5 and f-(1, 4) = 3 and f,(1, 4) =…

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Q: TASK 3: Analyze your layout by answering the following questions. What will happen to the dimensions…

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

Q: f(0) = –3, f' (0) = –15, f"(0) = –3, f"'(0): f(x) = +..

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Q: How do i solve the attached taylor series question?

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Q: (b) Find the values of a andb so that the function f(x) = x2 + ax +b has a local maximum at the…

A: We have to find the value of a and b

Q: Compute the partial derivatives: 5x dz dz

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Q: Using decomposition into partial fractions, 4x2 + 2 -dx x(x² + 2) is equal to In|x (x? + 2)| + C…

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Q: If a series Σ an n=1 is convergent, then it is absolutely convergent.

A: 1)∑n=1∞ an is convergent,then the series may not be convergent.for example, an is alernating…

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A: Root of multiplicity is defined as the number of times each roots appears.

Q: 22 Evaluate. (n - 1)!, where n = 3 2 5 6

A: This can be solved as follows:

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Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: Using the substitution x = sec 0, dx S: J x2Vx2 _ 1 where x > 1, is equal to

A: We can find the answer as below.