Question 6 of 20 View Policies Current Attempt in Progress Use the limit definition to find whether the limit is correct or not. x² - 64 lim X-8 x 8 16 O The limit is correct. O The limit is not correct.

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Q: 1) 2 a) Let f(x)=√x +4. Use the definition of the derivative to find f'(x). Find f'(5) by two…

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A: We have to apply Rolle's theorem.

Q: The

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Q: 10. Solve 3log x= log 512-log 8

A: To slove 3logx=log512-log8

Q: etermine the total differential of the function, f(x, y, z) = 2x³ + 5y¹ − 6z Odf = 6x² dx + 20y³dy -…

A: Please refer to the image below

Q: answer #2 using partial fractions

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Q: 6. Suppose you drop a golf ball onto a hard surface from a height h. The collision with the ground…

A: Disclaimer: Since you have multiple sub parts of question, we will solve first three part for you.if…

Q: For the following exercises, find f(x) for each function. Use the Rule (NOT Equation 3.4 and 3.5)…

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Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

A: We have to find the function whose tangent line has the slope 3x2+1 for each value of x and whose…

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Q: Express the complex number -2i in the form R(cos(0) + i sin (0)) = Re where R> 0 and 0 ≤ 0 ≤ 2T.…

A: Express the complex number

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Q: For the following exercises, the given limit represents the derivative of a function y = f(x) at x…

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Q: csc(x) = 5, for 90° < x < 180°, then (²3 2

A: Please refer to the image below

Q: 1. Find the radius of convergence and interval of convergence for the series n=0 2nx" 3"

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Q: Find an explicit solution of the given initial-value problem. dy 12-13 y(4) = 4 dx

A: The given differential equation is dydx=y2-1x2-1 and y(4)=4We have to find the explicit solution of…

Q: (a) Find an angle between 0 and 2π that is coterminal with 17t 10 (b) Find an angle between 0° and…

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Q: What is the area of the region between the lines y = 6x and y = 3x from x = 1 to x = 5? Select one:…

A: Answer: the solution is as shown below:

Q: Find the average rate of change for the given function over the indicated values of xx. If…

A: Given that  y = -2x2 +5x+1   where 'x' goes from -2 to 6 .     we have to find average rate of…

Q: a. In a geometric progression the sixth term is 8 times the third term and the sum of the seventh…

A: nth term of the Geometric progression , an= arn-1. Note : As per Our Guidelines , we can solve…

Q: Evaluate Jx√x²+7dx ○ (x+7) +C 3 ○ (x²+7)³¹² + C O +7x+ C O 3(x+7) +

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Q: dy 3-t=8 dt

A: As per our guidelines we only solve one question and rest of the question will be reposted. Hint: To…

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Q: Find the general solution of the differential equation. y(4) + 6y" + 9y = 0. NOTE: Use C₁, C2, C3,…

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Q: Σ n=0 3η – 2 5η + 7 +7

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Q: Evaluate the limit of a. 3 b. O tan 2x-2sinx as x approaches to 0. c. Undefined d. Infinity

A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as…

Q: Question 9 of 20 K View Policies Current Attempt in Progress Find the discontinuities, if any. f(x)…

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Q: Give an example of a function f (x) that has one positive derivative on (−1,0) and a negative…

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Q: Question 18 A curve has a slope of 2x and passes through (1,4). Find the area bounded by this curve…

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Q: Let f(x) = (c + 1)x+ In(cos x). For what value of c is f'(/4)=6

A: This question can be solved using the concepts of differentiation.

Q: sec²(x) √2-3tan (x) dx

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Q: 8. Convert the angle 315° into radians.

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Q: Consider the function f(x) = 2x³ + 6x² - 90x+5, -5 ≤ x ≤ 4. This function has an absolute minimum…

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Q: Evaluate the integral B = {(x, y, z)| 0≤x≤2,-2 ≤y ≤2, 0≤z ≤3} with respect to x, y, and z, in that…

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Q: following

A: Please refer to the image below

Q: Question 18 of 20 Determine whether the following statement is true or false. dy If y = f(u) and u…

A: As per guidelines we can answer only one question at a time so if you need more answers kindly…

Q: State the equation of the oblique asymptote of the function g(x) = 4x² +5x+2 x + 2

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