csc2 3x Evaluate J cot³ 3x csc² 3x dx ● 금cot-23z +c O cot 23xcsc3x + c O 6cot 3xcsc3x + c ○ 글cot? 3az + c

Q: x-3 Analyze the following limits and find the vertical asymptotes of f(x) = x2 -9 a. lim f(x) b. lim…

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Q: Determine whether the Mean Value Theorem can be applied to f on the closed interval [a, b). If the…

A: We have to check if Mean value theorem can be applied or not.

Q: evail hupisuoɔ əui 8u the partial fraction decomposition for 5x² – 3 - f(x) (x³ – 4x²)(x² – 3x +…

A: We have to find out partial fraction

Q: 24. Find the volume formed by rotating about the y -axis the region enclosed by: x = 9y and y3 = x…

A: Here, the curves are x=y3 & x=9y. Now, the points of intersections are at: y3=9y⇒y=0,3   because…

Q: Determine whether the following function is continuous at a. Use the continuity checklist to justify…

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Q: 8- Consider u=x², v=1/u+1 and w=vv find dv/dx

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Q: Nathan is required to pay George $9,500 today but he wishes to postpone the payment for 60 days.…

A: Given query is to find the amount to be paid.

Q: 1 What is the instantaneous rate of change of Y= at x = 2? - o-1 4 O none of these -1 -1

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Q: Exercise 1. Find the following limits sin 3x+ tan 2x2 2x? + x tan 2x 1) lim 2) lim 5x +x tan 2x 3)…

A: Use limit property

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

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Q: 6. Figure out the following limits without applying L'Hopital Rule. sin(r- 4) V2r -1-1 b. lim (2²…

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

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Q: A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r…

A: Given problem:- A cylinder (round can) has a circular base and a circular top with vertical sides in…

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: Given that f (x) = x 2 - 5x + 6, evaluate the function f(6). 0 -12 12

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Q: Consider this function: y=-5 sin(3x+x) (Continued from previous question.) Imagine the graph of this…

A: We will find the 5 points.

Q: Given that f(x) = x² - 5x + 6, evaluate the function fla +b) - fla). 2a+b-5 b-5 2a+b+1

A: Simplify the expression for the given value of x

Q: dx Vx+2

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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…

A: Given query is to find the time taken to grow the investment to 5310.

Q: The average rate of change of y with respect to x over the interval [0, 3] for the function y = 3x…

A: The function y=3x+2 over the interval 0,3

Q: Some values for a relation are given in the table. Is the relation a function? Find the domain and…

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

A: Greens theorem

Q: The terms of a series are defined recursively by the equations az = 5 5n + 2. an. an+1 4n + 11…

A: Here, the given series has: a1=5, an+1=5n+24n+11an

Q: The integral dx – 4 3 1 Vx2

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Q: Using the method of undetermined coefficients, a particular solution of the differential equation…

A: We have to find particular solution .

Q: 4. 7. Suppose f(x)dx = -6, f(x)dx 6, and g(x)dx = 2. Evaluate the following integrals. 2 ... Jgndx =…

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

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Q: Evaluate the following integral. 6x cos x dx - 4x

A: Given,  ∫-4π6πcos2x dx

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: Express the series using sigma notation 6m + 3m + 0 + (-3m) + (-6m)... E-3bn +9b E-3bn – 9b E-3bn…

A: Use the expression form the summation form

Q: Question 2 - a) [i- :- :]: Explain why the following series (-1)" 1+ n3/2 n=1 is Alternating. ]: Use…

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Q: Use the limit comparison test to determine whether each of the following series converges or…

A: Topic:- sequence and series

Q: Using two or more complete sentences, explain how to find the sum of the geometric series. n-1 4 n=1

A: Infinite gp

Q: A piecewise function is given. Use the properties of limits to find the indica fix) if x 3 5. if x-3…

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Q: Find the value of the derivative (if it exists) at the given extremum. (If an answer does not exist,…

A: f(x)=(x+5)23  f'(x)=23(x+5)-13  f'(x)=23 (x+5)3Let's understand f'(x) as a different…

Q: 6. The equation 4 (x – 1)2 + 4 (y+ 2)? + 4 (z – 3)² = 1 represents a sphere. %3D 6.1. What is its…

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Q: Question 28 Write the first five terms of the geometric sequence. a1 - 3; r=- O 3. 74 03 3 3 4' 16…

A: A detailed solution is given below.

Q: 5. Prove lim,40 V2r +I= 1.

A: Given :limx→02x+1=1

Q: 7 If the change of variables u = x-1 is used to evaluate the definite integral f(x) dx, what are the…

A: This question can be solved using the concept of change of limits in definite integrals.

Q: Problem #2: Differentiate f(x) = [(6x³ – 3)(7x² + 8x – 1)]° and solve f'(2). %3D Solution: Reason:

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Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Ssin ³xcos³xdx

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Q: Prove: If s S6sn for all n EN and if both sn Land un+ L, where LE R, then t - L asn- 0 as well. That…

A: We are given that sn≤tn≤un  for all n ∈ℕ and both sn and tn converges to L∈ℝ.We need to show that tn…

Q: 4. State and prove the law of sines in triangles. 5. Prove lim,0 V2r + %3D 6. Figure out the…

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Q: Write the first five terms of the arithmetic sequence. ad - 1 0.2 2. 10 14 21 3333 0.214 7 10 3333-3

A: This question can be solved using the concept of general term of arithmetic sequence.

Q: The marginal cost for printing a paperback book at a small publishing company is c(p) = $0.015 per…

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Q: The integral X dx Vx2 – 4 3

A: To evaluate the given integral.∫12 xx2-43 dx

Q: For some constant a, the following improper integral | (x2 – 1)e2xdx converges to converges to e2a…

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Q: Find the slope of the function f (x) = x 3 + 3x 2 + 3x + 1 at x = 0 1 0 3

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