Write out the form of the partial fraction decomposition of the function. Do not determine the numerical values of the coefficients.

Q: 1. Let f(x) be the piecewise defined function as follows: x-1, C. What is f(-2)? f(x) = {2, In your…

A: Note: Since the student has asked to solve parts (d), (e), and (f). So we are solving accordingly…

Q: Prove the identity. tan²x secx-1 (secx + 1)² secx+1 Note that each Statement must be based on a Rule…

A: To prove the identity.

Q: sina sin 2α lim a-0 1-cos a

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Q: ● Question 3 The height of a right triangle with base angle 45° and base 4 is

A: Given query is to find the height of the triangle.

Q: 3. Prove that the directional derivative of f(x, y) = y² + 2xy³ + x²y² at point (0, 1) in the…

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Q: Differential Equations Obtain the general Solution of xcos2ydx + tanydy = 0

A: Topic =Differential Equations

Q: Find the derivative of g in the direction of a = 2i+ curl w at point (0 where น u+2 8 = In- J u =…

A: g=lnuu+2, u=z(xy+z2)2, w=cosxyzi+xeyz+1j+xyzk We have to find the directional derivative of g in the…

Q: • [F(x) dx (a) Given f(x) dx = 7 and (b) (c) (d) [²² [[9 L²90 [f(x) + g(x)] dx [²² [g(x) = f(x)] dx…

A: ∫29f(x)dx=7∫29g(x)dx=-3rule:∫abcf(x)dx=c∫abf(x)dx  , where c…

Q: A tank holds 3000 gallons of water, which drains from the bottom of the tank in half an hour. The…

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Q: Find the given vector. Vector v = (x, y) of length 18 making an angle of 30° with the x-xis. (Use…

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Q: 44° x= 90 NOTE: The triangle is NOT drawn to scale. Answer the following: Round your answer to 3…

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Q: The cost to print tote bags to sell to faculty and staff is $160 for the printer fee and $4 per bag.…

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Q: Q.5.Suppose that a projectile is launched straight upwad from the initial position with initial…

A: Given data:- The given initial velocity, v0>0 The given differential equation, dvdt=-g1+ρgv2…

Q: The question asks where is the function increasing, but the answer says where the function is…

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Q: A. Determine the standard form of the equation of the circle given its center and radius. Draw its…

A: Given: 4) Center (0,8), radius is 55) Center (6,3), radius is 20

Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 2/1, 5/2,…

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Q: Given f(x)=e^x+1/3x, find f'(6)

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Q: Express the following limit as a definite integral: where a = , b = and f(x) = lim 84x n n? = √²…

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Q: For the function, consider the following. (Hint: Use a graphing calculator.) f(x) = x4/3; find f(-8)…

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Q: Find aff dy dx² for f(x, y) = exy

A: I have done solution in detail....step by step....go through the solution

Q: If a​ price-demand equation is solved for​ p, then price is expressed as p=​g(x) and x becomes the…

A: For elastic demand E'(x) >0 For inelastic demand E'(x) <0.

Q: Fill in the blanks: As x → 5, f(x) →. asymptote. The equation is State the range of f(x) in interval…

A: The graph of the function states that the function have both horizontal as well as vertical…

Q: (9) Evaluate the indefinite integral f X+2 dx x² + 4x 2

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Q: A graphing calculator is recommended. For the function, consider the following. nd g(--/-) g(x) =…

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Q: Find the area of the surface generated by revolving the curve y = x-axis. The area of the surface is…

A: Given curve, y=-x321,-26≤x≤0

Q: The value of the limit A = lim n-x is equal to the area below the graph of a function f(x) on an…

A: Given function limn→∞∑i=1nπ4ntaniπ4n

Q: 1. 3x² + 7y2 - 12x - 28y + 19 = 0

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 21 21 18 If ²¹ f(x) dx = 3.4, and 2¹ f(x) dx = 10.5, then 5,1³ f(x) dx 18

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Q: Use sigma notation to write the sum. 5 4 [(² n 5 4 ² ] ( ² ) + ... + [( ² ) n n n - 4n 4 AD (17) n

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Q: 2. What is the period of the trigonometric function given by f(x) a. 플 b. 2π C. T d. 3 = 3sin(2x)?

A: This question is based on trigonometry function

Q: Question 20 BMW The angle between 0 and 360° that is coterminal with the 1786° angle is Question…

A: The angle between 00and 3600 that is coterminal with 17860is 3460

Q: Calculate the average rate of change for the function f(t) = 2x³+5 over the interval -1 ≤ x ≤ 2.…

A: Given query is to find the rate of change of function.

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √3x +7…

A: Ans = 40.5709π square units  For detail...go through the solution...

Q: Find f ∘ g ∘ h. f(x) = √x − 3 g(x) = x2 h(x) = x3 + 1

A: Topic:- function

Q: t. . Sketch the region enclosed by the curves y = x² and y = 4x - x² and find its area.

A: Please refer to the image below

Q: Given f(x)=e^x+1/3x, find f'(8)

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Q: The series O True O False Σ (-1)^+1 n=2 n3+1 is absolutely convergent.

A: The given series is summation of (-1)n+1/(n3+1), n from 2 to infinity.

Q: Find the first five terms of the sequence and determine if it is geometric. if it is geometric, find…

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Q: D. Find the equation of the circle determined by the given conditions. Show your complete solution.…

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Q: (b) Write Σn=1 n(n+3) as a telescopic series and find its sum.

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Q: Solve for the Inverse Laplace of 4/s(s+4)

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Q: Use the slider to graph the standard position angle, then convert the degree to radians. Degree…

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Q: 29. Use the squeeze theorem to show TL lim √x³ + x² sin == 0 X

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Q: Determine if the sequence (nsin(pi/n)) is convergent or divergent. Find its limit if it is…

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Q: Differential Equations Find the Particular Solution of (16x+5y)dx + (3x+y)dy = 0. If the curve to…

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Q: (b) f(x) of f'(x) = x + xe² with f(0) = 1/2

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Q: Question 33 A record is spinning at the rate of 41 rotations per minute. If a ladybug is sitting 12…

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Q: 1. dy dt 2 3 14 S I = lim At→0 =lim At 0 = lim - At→0 = lim lim At→0 f(t+At)-f(t) At 2 -7. 2 +At At…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Explain how each of the following features relates to a function's derivatives and curve sketching.…

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Q: 져 - b ± √b² -uac a=1, b-21C25 = -2 + 234(1) (5) a = 2 = -2 - 1-16 2 를 2=-1±i 2) 대 2

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