The value of +2i+1 is i-1 139 146 124 90

Q: Find the slope of the function f(x) = V5x at x = 5. V5/2 -25/2 1/2

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Q: testonvergence and divergene h.

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

A: This can be solved as follows:

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

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Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: Find the surface area of the plane ( 15x- 5z+20y=35) if it is in the first octant

A: Here we have to find the surface area of a plane.

Q: During its first season, the number of viewers who watched the new television programn can be…

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Q: IL. Find the equations of the tangent and normal lines at the paint indicated. b. 4x - 4y - sin(x +…

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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: What is the solution of D.E y" – 2y' = e*sinx when solved using the method of undetermined…

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

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Q: Find the x-intercepts(s). if any, of f. (Type integer values, separated by commas.) x=0 (6, 2) (-2,…

A: We need to determine x-intercepts.

Q: Q5: Find equations for (a) the tangent plane and (b) normal line at the point P, on the given…

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Q: test the convergence ad diivergene

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Q: The technique used to prove that dk =- 3x + 3V3 tan" + C %3D x2 + 3 3 is O Integration by Parts O…

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Q: 17. y csc(5x)

A: Differentiation

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: ropriate substitution, n³ (4x)cos*(4x)dx is equal to

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

A: Solution is given below:

Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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Q: The results of an interview of 200 students indicate that 89 like GE Math; 77 like GE Arts; 77 like…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: J(x) Rewrite h(x)- g(x). g(x) + 0 as a product and Use the product pule to derive the quotient rule.

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Q: Use the Integral Test to determine whether the series is convergent or divergent. -2n ne =1 Evaluate…

A: From integral test of a series we get,   If a function f(x) is continuous , positive and decreasing…

Q: a) Explain why the function f(x) = e#² is not injective (one-to-one) on its natural domain.

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: The velocity dx/dt of a chemical reaction is proportional to (a-x), where x is the amount…

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

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

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Q: Express the limit as a definite integral on the given interval. -Дх, [1,4] (x;)2 + 9 lim i = 1 dx

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Q: L,x²(x³ + 8)²dx 19. Use the Fundamental Theorem of Calculus to evaluate:

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

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Q: Solving by variation of parameters y"-3y =x we find that: O None of them O u1=(-1/6) x, u_2=-e^(-3x)…

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Q: x3 + x2 – 5x + 15 dx 5. (x2 + 5)(x² + 2x + 3)

A: Partial fraction: A complicated rational statement is decomposed into two or simpler fractions using…

Q: 1-12 For each of the following power series, find the interval of convergence and radius of conver-…

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Q: x = -1 x = 1 For what value of c is the function f (x) = continuous at x = -1? 12 –1 (x+1)(x-3)…

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Q: Using Sandwich Theorem, the sequence 1 cos? n + 1 an = 4 - n converges to 4 converges to 2 diverges…

A: Given

Q: etermine whether f is continuous at c= 0. - 3x if x #0 f(x) 2 x* + 3x %3D if x = 0 f continuous at…

A: Topic:- function

Q: log x y = dy dx 5+5ln5logx x² In5 dy 5-5ln5log x dx x² In5 Option 4 Op tion 3 dy _ 5-5ln5logx x² In5…

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Q: x-3 3. Find lim and simplify. x+9 x-9

A: Solution

Q: convergent or divergent. Please provide detailed solution. a) : E 10" n=1 (n + 1) 52n + 1 00 -5n 2n…

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Q: Given the following differential equation (E): y" + 2y' + 5y = 0. The solution of (E) is: O None of…

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Q: Using the substitution x = sec 0, 2dx Jx?Vx² – 1

A: We can find the solution to the integration as below.

Q: A number is chosen at random from the positive, even integers from 2 to 50. Find the probability…

A: First add the total number then add the total favorable number then use formula.

Q: Q3: Find gradient of the following function at given point 1) f(x, y) = y –x, (2,1) 2) g(x, y) = y –…

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Q: Find the slope of the tangent line to polar curve r = 7 cos 0 at the point

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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: The following sequence (7532h n! an = e O diverges converges to e converges to 0 converges to 1

A: Given problem:-

Q: The technique used to prove that x4 - 2x + 2/2tan-1 3 X + C 2. dx = - - x² + 2 is Long (Euclidean)…

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Q: O (z² - 2x) y" + ( + 2) (2 2) y = 0 O (3x? - 4x) y" - (z + 4) H (e |4) y = 0 (22 + 4) y (4r - 4) y =…

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Q: P1: |x? cos-1 x dx X* cos

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Q: P6: x2 dx 2 – 1

A: We have to solve given integration