Use series to evaluate lim X-0 ex-1 5x

Q: Find the values of a where the tangent line to the graph of f(x) = y = 5x + 6. Give exact answers…

A: Given: Find the values of x where the tangent line to the graph of f(x)=1x is parallel to the line…

Q: 4. 5. 6. I. lim f(x) does not exist. 2-3 II. f has a removable discontinuity at x = -3. I. f has a…

A: We need to determine discontinuity.

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Q: S A. sinxcosxdx √esc²x-1 2 B. 7 COS X 7 5 COS X 5 5 cos³x x + C X 5 7 COS X 7 +C C. D. sin7 x 7 5…

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Q: 3 ne the area bounded by the functionsf (x) = (x+1) ³ andg (x)=x+ 1. one of the given choices 1 -…

A: Please refer to the image below

Q: Please answer completely. Step by step. Evaluate. ग ? Sin ³ de 3 1-coso

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Q: What is F(x) = f +/dx? O F(x) = 4 ln x + C ○ F(x) = 4 ln x O F(x) = 4 ln |x| O F(x) = 4 ln lxl + C

A: We can find the correct answer as below.

Q: (1) Find the area of the region bounded by the curves and draw an illustration y = x² and y = 6x-x².

A: The region bounded by the curves y=x2 and y=6x-x2 Note:    Multiple questions are given we are…

Q: 8. Find a continuous solution satisfying dy dr + 2xy = f(x) where = x if 0 < x < 1 0 if x ≥ 1 off…

A: Solve the following

Q: Which of the following formulas would be used to calculate the trapezoid approximation of 0.2 3 0 T₁…

A: Here we using trapezoidal rule.

Q: For numbers 24-30, consider f(x) = -x +8x³-18x² + 10. Read the following statements carefully. Each…

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Q: 6 5 4 3 2- - 1 1 1 0 1 y = f(x) lim I-1 lim 2 h→0 T 3 4 5 6 7 8 Enter each answer as a whole number…

A: (i)  limX→2+ fx-5fx+4 = limx→2fx-5limx→2fx+4                          = limx→2fx-limx→25limx→2fx+4…

Q: D In10 In[log(x+1)] + C

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Q: Which of the following statements is true? If f(x) = sec (x) tan(x), then a particular…

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Q: 10. Determine whether the following series converges. k 11k4 +1 Σ(-1)+1- k=1

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Q: Find the derivative of the function. g(x) = [2 + (x² + 1)41³ g'(x) = 2 + (x8+ 4x6 + 6x² + 4x²+3)3

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Q: Rewrite the integral using substitution: ₁x² cos(x³) dx 125 (cos u) du 25 ²5 (cos u) du 125 (cosu)…

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Q: Rewrite F(x) as F(u) using a substitution of variables. F(x) = f (2x + 5) sin (x² + 5x) dx o F(u) =…

A: We can find the correct option as below.

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Q: "Si" means "if" The function f is defined as follows: Knowing this, calculate: f(x) = (4x³+ln(3x) si…

A: Concept: Integration: Integration is a strategy for combining or joining the parts to get at the…

Q: Find the total area enclosed between y = x³ and y = x over the interval [-1,9]. NOTE: Enter the…

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Q: For the given rectangular equation, give its equivalent polar equation. 6x - y = 14 r= H 14 6 sin…

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Q: . After one​ year,    ________​% of the information is remembered. ​(Round to one decimal place…

A: The function fx=80e-0.3x+20 describes the percentage of information, a particular person remembers x…

Q: A region bounded byf (x) = 4 3 2 X Find the volume of the solid formed by revolving the region about…

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Q: Find the area of the region bounded above by y = −x² + 5 and below by y = 1.

A: Given, y=-x2+5 and y=1

Q: Solve y(1): dy/dt + x = 1; dx/dt-y + 4e¹ = 0; x(0)=0 and y(0)=0.

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Q: Consider the ellipsoid x2+ y2+ 4z2= 12. Find the general equation of the tangent plane to the…

A: Given that the ellipsoid x2 + y2 + 4z2 = 12. We find the general equation of the tangent plane to…

Q: Find the area between the curve of y = x + 2 and the x-axis on the inter 4 ਆਗੂਆਂ 2 4 -2- O O O 27 4…

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Q: The interest on an account increases exponentially. If an initial investment of $4000 earns $1300 in…

A: Given that , Initial investment = $4000 Rate of increase = ?

Q: how

A: Please refer to the image below

Q: Please find all 0 ≤ 0 ≤ 2π, for which ... (a) tan () = √3 (b) 3 sin²(0)+ 4 = 5 (c) 2 cos(ln(x² + e²)…

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Q: Use a sum or difference identity to find the exact sin 15° O = √6-1/2 4 o √6+√√2 4 √6-√√2 4 O √6+√√2…

A: We have to find the angle

Q: Evaluate the limit using techniques from Chapters 2 and 4 and using L'Hôpital's Rule.  lim x→0…

A: Evaluate the limit

Q: dy dx What is y(2)? Suppose = 6x² + 2x − 3 and y(0) = 4. - oy(2) = 14 oy(2) = 16 oy(2) = 18 oy(2) =…

A: The answer is given below:

Q: Find the derivative of the following functions. 1. F(x): = ſª √³+8dt

A: As per Bartleby guidelines rule I am answering only first question as other questions are not the…

Q: Find the partial fraction decomposition of A. B. 1 3 x+1 (x+1) 1 3 +1 (x+1) + 1 1 -2 1.2 x - 2 9…

A: We have to find the partial fraction decomposition.

Q: Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your…

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Q: The base of a three-dimensional figure is bound by the graph y = sin(x) + 1. Vertical cross-sections…

A: Given the base of 3-D figure is found by y = sin(x) + 1. The cross sections are vertical and…

Q: ƒ f(x) = 25, find f'(-3).

A: Topic:- derivatives

Q: 2-3i/1-2i

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Q: The flat surface shown is submerged vertically in water. Find the fluid force against the surface.…

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Q: The doctor has ordered Librium 25mg IM. The vial is labeled Librium 100mg. The directions state to…

A: Given Quantity of Librium ordered = 25mg Vial labeled Librium = 10 mg Water to be mixed with 100 mg…

Q: Evaluate the line integral along the given path. (4x-7y)ds C:r = 7ti+6tj, 0 ≤ y ≤8 O-454/85 O-444√85…

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Q: Convert the angle to decimal degrees and round to the nearest hundredth of a degree. 62°21'7" 62.36°…

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Q: Say whether the function graph below is continuous on [-1,6]. If not, where does it fail to be…

A: As per our answering guidelines we are allowed to solve only one question kindly repost others.…

Q: A region bounded byf (x) = y = 0, x = 1, and x = 3 is shown below. " X Find the volume of the solid…

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Q: The notation {an} represents a sequence of an infinite number of terms. O True False

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Q: Find the Jacobian for the indicated change of variables. x = uy -2u, y = uv О д(x,y) H(u, v) О…

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Q: 40 9 If the pointP (4) is the terminal point of t on the unit circle, fin 41 41 value of tant and…

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Q: Find the total change of f(x) between x = 1 and x = 4, when 1.25 0.75 0.25 -0.75 df 1 dx x2 =

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