1. For the curve x²y? = 25 at (-1,-5), find the equation of the normal line. %3D

Q: Find the value(s) of c guaranteed by the Mean Value Theorem for Integrals for the function over the…

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Q: 3 2 - VX dx x² – 4 1 2]

A: ∫12xx2-43dxLet u=x2-4.=∫-3012u3du=12·∫-301u3du=1232u23-30=12--123· 323·32=-3-123· 3234

Q: fintthe XP COS ५: टे. 8 e

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Q: x +k a. Determine the value(s) ofk such that g'(1) = 5 if g(x) = %3D %3D x² - 2

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

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

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Q: Express the limit as a definite integral on the given interval. lim 2 x;)?+9 -ах, [1,4] (x;")² + 9'…

A: Use;∫abf(x) dx =limn→∞ ∑n=1n f(xi) ∆x                       over the given interval [a, b].

Q: these O 6) Eliminate the x = t , parameter and find à corresponding rectangular equation: y = 2 –3 t

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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.

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: Find the shaded area shown on the picture below. The function graphed there is f (x) = x² – 4 5 4. 3…

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Q: Q2: Determine the type of the two lines (parallel, perpendicular, intersecting, north) and give the…

A: 1  pependicular line because given that both intersect at 90 degree  2 parallel line because both…

Q: cos(xy) + secy = 5

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Q: Find the integrals by the method of partial fractions. x² – 3x + 4 dx ·J (a +1)(x – 1)(r+2) 1. 5х —…

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Q: Question 9 19. Se3z tanh(e3) In cosh(e³²)dz a. 1/6 (In cosh (e"))² +c c. 1/3 (In cosh (e))² +c b.…

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Q: In Vix dx sce x dumx dX Serx tam

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Q: Using the Nth term test for divergence, 00 n 5n-2 n2 n=1 diverges since lim V5n-2 n² is equal to O 5…

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Q: (c) Find marginal profit at q = 500. 10 Explain what it predicts. The total profit will increase by…

A: Apologies for the inconvenience.   #c) We have found that marginal profit at q=500 is 10.  It means…

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

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Q: Part a: Assume that the height of your cylinder is 4 inches. Consider A as a function of r, so we…

A: This question can be solved using the concept of function.

Q: Using decomposition into partial fractio 2x2 + 2 x(x2 + 2) is equal to

A: We have to find solutions

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: 2- A hot-air balloon is moving vertically up and down so that its height relative to the ground is…

A: We have to find the velocity and acceleration.

Q: Holly was supposed to pay Tiffany $5,600, 6 months ago, and $1,960, 5 months from now. If she wants…

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Q: To prove that dx In /1+ (In x)² + In x + C x/1+ (In x)2 we use the substitutions

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Q: Solve this equation: sin 2x = V3 for 0sx< 2T There are four solutions. You must give your answers in…

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Q: Determine whether the series is absolutely convergent, conditionally convergent, or divergent.…

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Q: 5. The partial graph of y = logb x passes through the point P (2,0.5) and Q (a , 2). The value of a…

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Q: 5 Find the eigenvalues of the matrix A = 2 -8 -8 = Enter both values separated by a comma.

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Q: What is the solution of D.E y"- 3y' = -2cos(2x) when solved using the method of undetermined…

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Q: The solution y, of the homogeneous differential equation y() + 36y" = 0 is O None of them c_1+c_2…

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

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Q: A state makes auto license plates that have two letters (excluding I, 0, and Q) followed by four…

A: A state makes auto license plates that have two letters(excluding I, 0, and Q) followed by four…

Q: Question 2 (. Consider the function f(x) = %3D a2+1 (a) Find the intercepts of the graph of f (if…

A: As per guidelines, I can answer maximum three subparts of a question. Since there are multiple…

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: Hello good day, can you help me. Make your own sample problem about Integration of hyperbolic 5…

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Q: What are intervals of concavity of the function f(x) = -2x – 6x? – 3 ? a. Concave upward on (-00,-1)…

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Q: Find a series solution about the ordinary point 0 of the differential equation y" + 8xy'-4y-0 O None…

A: The given differential equation is:y''+8xy'-4y=0We need to find a series solution about the…

Q: O O O O For the differential equation (x2-4)y" + (x-2)y'+ 2y 0, a regular singular point is: O x-4…

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Q: . The population of a town reaches 113000. 7 years ago the population was 82000. Assuming that the…

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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: Use the Comparison Test to determine whether the series converges or diverges. 4n 4n 5n3 + 5…

A: We have to find convergency

Q: 20 of 21 What is the average rate of change of y with respect to x over the interval -5, –2] for the…

A: topic- average rate of change of function over interval

Q: The technique used to prove that x4 x3 - 5x + 5V5 tan¬1 3 x² + 5 dx + C - - is Long (Euclidean)…

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Q: 10. Create examples of functions (and also justify why it works for each): a) Continuous and…

A: As per bartleby guidelines we are supposed to answer only 3 subparts of a particular question. This…

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

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Q: Using the variations of parameters method for the differential equation y" + 2y'+ y = e* In(x), we…

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Q: For the differential equation (x² – 4)y" + (x – 2)y' + 2y= 0, the singular points are: %3| x=2 and…

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Q: Solving by variation of parameters y"-3y' x the general solution is: O None of them O c_1+c_2…

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Q: The following telescoping series 1 sin-1 sin -1 n + 1 n=1 converges to 3 converges to= the above the…

A: Given problem:-

Q: From Rogawski ET 2e section 10.7, exercise 58. Find the first four non-zero terms of the Maclaurin…

A: Given problem:-