Find the derivative of the function. f(z) = e?/(z – 5) f'(z) =

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Q: Find an equation of the line passing through the pair of points. (4, 3), (-4, –4) Sketch the line.

A: We can find the required line as below.

Q: Find the equation of the line tangent to the graph of f(x) = (In x)° at x = 4. (Type your answer in ...

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Q: Since (k + 1)!/3k+1 lim k +1 lim k→+∞ 3 +00, %3D k→+0 k!/3k k! the series (converges/diverges/inconc...

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Q: Evaluate the following: 1. S(6x² – 4x + 1) dx

A: As we know that; The Sum rule: ∫fx±gxdx=∫fxdx±∫gxdx The Power rule: ∫xndx=xn+1n+1+C ; n≠-1 And ∫c·fx...

Q: Question 1 2r³+5x²– 4 Evaluate xp- 4 2r²+ 5x+ -+C 4 B x²-5x-+c x- 5x + -+C D x²+5x+ -+C

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Q: S sec*x csc*x dx

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Q: Sometimes it is possible to solve a nonlinear equation by making a change of the dependent variable ...

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Q: » [3] S Te dx > Vex [4] S(x- s(x + !)° dx >

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Q: rmine the coefficient of Cot(x) when we evaluate J[cot(x) – csc(x)]²dx. 1 1 2 None of the given choi...

A: Given query is to find the integral.

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Q: а. lim,(3r — 5) T-1 22 – 9 b. lim THe x2 – 4xr+3 where c= 0,1,2 22 – 9 C. lim 1→3 x2 – 4+3

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Q: For the following items, consider the sequence {()"-}. 1. What are the first five terms of the seque...

A: We have to find 1st five point and draw the graph as well as the property of sequence

Q: Find the radius of convergence and the interval of convergence. 2k+1 k2 + 81 k=1 Radius of convergen...

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Q: Differentiate the following functions. Show step by step solution and Indicate your final answer. y ...

A: A detailed solution is given below 

Q: dy Which of the following is the general solution to the differential equation dx e x+ In x = C y ex...

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Q: uate lim t→+∞\ 3t2 + 2

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Q: 25. n- (1+) n = 1 M 8

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Q: Evaluate the indefinite integral. (Use C for the constant of integration.) xV7 - x2 dx

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Q: А. О- бу+1) dy y-3 (у?- 6у+1) dy

A: As per our guidelines we are supposed to answer only one question i.e. the question no (A). For the ...

Q: 45. The radius of a right circular cylinder is measured as 2.5 ft, and the height is measured as 12 ...

A: This question is related to 3D geometory. Sove in step 2.

Q: Use the Integral Test to determine whether the infinite series EL is convergent. (Use symbolic notat...

A: Here, the given series is: ∑n=1∞19n2+1 Using the Integral Test, to determine the series is convergen...

Q: lim square root of (n + 2i) – square root of (n + i). C. O 12. Evaluate the ninfinity B.1 A. 2/i

A: We will multiply and divide by a factor which numerator a square type and will remove square root sy...

Q: Evaluate the indefinite integral. 30 V cot(x) csc2(x) dx

A: ∫cot(x)30csc2(x) dx-∫cot(x)30(-csc2(x)) dx-∫(cot(x))130(-csc2(x)) dx

Q: Find r(r+ 6)° dx. A 12r²+C B 5x5 + 3x*+ 12x³+C

A: Using integration rules & formulas.

Q: Find an equation of the line passing through the pair of points. (-5) ( 1) 4

A: The equation of the line is solved below.

Q: Find a differential equation that corresponds to the given direction field. Consider differential eq...

A: Given direction field for y'=ay+b

Q: Consider the following graph. y 10| 8. 6 4 (1, 3) 2 -4 -2 2 4 6 8 10 -2 (1, –2) (7, –2) -4F (a) Find...

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Q: Direction: solve and analyze each of the following problem in neat and orderly manner. Do this in yo...

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Q: INTEGRAL Evaluate the following: S(a- S (a – x)-³dx 3.

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Q: 2x² +y? Which of the following is the general solution to the differential equation dx 2xy +3y² 2x3 ...

A: To find the general solution of the differential equationdydx=- 2x2+y22xy+3y2

Q: nRT Determine dPldn for P(n,R,T,V)= O NRIV O -NRTIV2 O RTIV O NTIV

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Q: The following graph shows the rate of change n(t) of the number of active eBay users, in millions of...

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Q: Solve the given initial value problem. 2ry + y2 2x2+3xy dy y(1) = - 2 dx Oy + y = -4 Oy + xy³ O xy +...

A: Given problem:-

Q: The graph of f (x) is shown below. Which of the following statements are true? 7- 6- 4 %3D %3D -7 -6...

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Q: Let A, B and C be any sets. Which of the following is equal to (A U C) n (B \ C)? Select one: a. (A ...

A: Solution is given below:

Q: Given that lim f(x) = 0 lim g(x) = 0 lim h(x) = 1 %3D %3! Xa Xa lim p(x) = 0 lim q(x) = 0, %3D Xa Xa...

A: We have to solve the limits.

Q: Consider the function f(r) 3a on the nterval 6, 5Find the average or mean stope of the function on t...

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Q: If we apply Rolle's Theorem to the function f(r) -2r 16r 8 on the interval 2, 6, how many values of ...

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Q: The demand for a new computer game can be modeled by p(x) = 60-8 In x, for 0sxs800, where p(x) is th...

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Q: Find the area that is inside both r=1−sinθ and r=2+sinθ

A: Graph:

Q: Find the solution of the given initial value problem. ty' + 4y = t –t+ 5, y(1) = 4, t >0

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Q: Instruction: Show complete şolutions. 8. Given f(x, y, z) = sin(xyz). Show that 1 1 y2 fyfz = -yz. -...

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Q: In 2004, an art collector paid $60,791,000 for a particular painting. The same painting sold for $30...

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Q: Postal regulations state that packages must have length plus girth of no more than 84inches. Find th...

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Q: Determine whether the alternating series converges. E(- 1*- k=3 7ln k k O The series diverges. O The...

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Q: Use any method to determine whether the series converge. 1 (a) E 'k² + 15k + 1 This series diverges....

A: To check the convergence of the given series.

Q: Let F(x,y,z) = (y,x²,zy) where C:R(t) = (cost,sin t , 3t) and t e [0,2]. Evaluate %3D %3D •dR

A: We have to find value of given Integral.

Q: 1. Is the following expression a scalar, vector or meaningless? lä|ab

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