Let f(x) = (4sin z + 2 cos z)arctan z f (x) =

Q: Assume x and y are functions of t. Evaluate for the following. dt dx 3 3, х%3D1, у%3D2 3 '= 2x + 6;…

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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: Using Green's Theorem, compute the counterclockwise circulation of F around the closed curve C. If…

A: As per bartleby guidelines we supposed to answer only 1 question per post. This post contains 2…

Q: Use the like-bases property and exponents to solve the equation n-2 () = 23n +5 > Next Question

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Q: 21 x² +4x+3 4. Find lim x→1x -5x+6

A: Given query is to find the limit of the expression.

Q: A test has multiple choice questions with 3 choices for each answer; only one answer is correct for…

A: Let A and B denote the events of guessing the correct option of question 1 and question 2…

Q: Evaluate the limits lim x² + 3x- 4. x→-1 -6 -7 -2

A: We can find the limit as below.

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…

Q: (2xy + 3y²) dx – (2xy + x²) dy = 0 .. [VARIABLE SEPARABLE/HOMOGENEOUS |

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Q: Problem #7: A rectangular garden is fenced on three sides, and the house forms the fourth side of…

A: We need to find dimension of the garden.

Q: Sx² sec2 x³ dx

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Q: Question 2 ( Consider the initial-value problem y" + 4y = 5 sin 3t, y(0) = 0, y'(0) = 3. (a) Use the…

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Q: Draw a right triangle containing 0, so that the opposite side is 2, the adjacent side is 5, and the…

A: Topic:- trigonometry ratios  Note :- as per our guideline if more than one question uploaded than…

Q: Find the following limit or state that it does not exist. x - 4x +3 lim X-3 x-3

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Q: b. In the interval (0,5), f is not differentiable at x = (Use a comma to separate answers as…

A: Function is not continuous at those point where the graph of the function has missing points in…

Q: tan(1 – x) 2 limx→1 2x +x – 3

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Q: Suppose the position of an object moving horizontally after t seconds is given by the following…

A: Given equation is quadratic so accordingly draw the graph and then solve .

Q: Write the vector v in terms of i and j whose magnitude Iv] and direction angle 0 are given. Ivl - 7,…

A: This question can be solved using the concept of component form of vectors.

Q: Aruduns B) 3 cucans cockuns D)radrans cucians radians 5. COAvert the ancle in radiGns to degrnes. 55…

A: 6) cos(theta)<0, csc(theta)<0. 7) theta is -5 pi/4.

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: A Moving to another question will save this response. buestion 9 Consider this expression: -1 sin…

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Q: Find the domain and range of y = log,(7 + 5x). The domain is: The range is : > Next Question

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Q: 5. Consider the two curves r= / cos(0) and r= V2 cos(0), -T/2<0ST/2,whose polar plo 0.6 0.4 0.2 0.2…

A: Here, the given curves are: r=cos θ &amp; r=2cos θ

Q: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic…

A: Here I am providing handwritten samples

Q: A radius r of a spherical balloon is increasing at a rate of 2 cm/s. Find the rate of a volume V…

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Q: In two or more complete sentences, explain how to find the third term of the expansion of (2x+y)4.

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Q: The graph of f(z) is shown below. Which of the following statements are true? 7. 6- 5- Select the…

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Q: -6- They" for y = -9 3x-5

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Q: 24 Evaluate the following. 5! 120 15 720

A: 24)  To evaluate: 5!

Q: ANOTHER A baseball team plays in a stadium that holds 52,000 spectators. With ticket prices at $10,…

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Q: 4 Consider the following geometric series: 2 + 8. 16 + ... Identify a and r, find a formula for the…

A: solution:-2+43+89+1627+...first term, a=2common ratio, r=8943=23general term, an=arn…

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: Let f(æ) = tan-(sin(7«)) f'(x) =

A: Let's find.

Q: 1. Find y if y =x In(4x+1).

A: Use the product rule of differentiation.

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

A: The given function,   f(x)=x-3x2-9

Q: Test the series for convergence or divergence using the Alternating Series Test. ∞ (−1)n 7n + 1   n…

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Q: 2. Write the given (total) area as an integral. a. The area above the x – axis and below y = 4 – x²…

A: 2a intersection

Q: Match the point in polar coordinates with either A, B, C, or D on the graph.

A: The given polar coordinate -2,-π2

Q: 4 8. + 6. 16 Consider the following geometric series: 2+ + .... Identify a and r, find a formula for…

A: The given series is  2+4/3 +8/9 +16/27+...

Q: 5. If sin 0 = and 0 in the first quadrant, find cos 20.

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Q: b) sec(arcsin x2+4, 以a sin g 孙 OPP Los : als hyp a-t6-cと とい ))Not how sec = x-Vxty %3D exponent…

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Q: Complete the table by identifying u and du for the integral. dx u = g(x) du = g'(x) dx du = dx |…

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Q: If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) =…

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Q: Find the derivative of the function at the given point in the direction of A. f(x.y,z) = In (x…

A: Solved below.

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: 1+x dx V1-x

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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: sin(x) 1- sin? (x) 3. Evaluate the integral O 2ln|1 - sin2(x)| + C O -csc(x) + C sec(x) + C O None…

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Q: X -5

A: We have to find the function

Q: Use the Quotient Rule to compute:

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