Differentiate: y dy dx 11 In(x) 26

Q: Evaluate the integrals: COS cos √x √√x -dx

A: I=∫cosxxdxwe know that  ∫cosxdx=sinx+cdxndx=nxn-1

Q: 10- You want to invest €1000. What interest rate is required to make this investment grow to €2000…

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Q: Use the information to determine the limits. (If the limit is infinite, enter 'co' or '-co', as…

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Q: 7. Let f be a function defined for all real numbers x and for all real such that f'(x) < 0 and f"(x)…

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Q: Find the Taylor series expansion of f(x) = = = at

A: we have to find taylor series expansion of f(x)  f(x)=1x2= x-2   at  a =1   now ,    f(x)=x-2…

Q: * Your answer is incorrect. Consider each function to be in the form y = k xP, and identify k or p…

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Q: Find the average rate of change of the function over the given interval. P(0)=03-202+60; [1,2] ΔΡ ΔΘ…

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Q: Compare dy and Ay for y = 4x²-3 at x = 2 with Ax = dx = 0.08 Give your answers to four decimal plac…

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Q: Find an equation of the tangent to the curve at the point corresponding to the given value of the…

A: we will find the required.

Q: The graph below shows the constant function y = g(t). -8 -7 -6 -5 -4 -3 -2 -1 4 -2 -3 -4 Answer: 8 +…

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Q: The graph of f is shown below. Evaluate each integral by interpreting it in terms of areas. 1 So…

A: we need to find out the given integration by interpreting in the areas.

Q: _f(x) = 2 X 1 - 2x

A: To solve the following problem

Q: Use the function below to determine if the following statements are true or false. f(x) = log5…

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Q: The roots of the auxiliary in y (4) + 3y"- 4y=0_ Om= ±2 Om=+1,i Om= + 2i Om= ± 1, ± 2i

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Q: Angle is in standard position and (-4, 0) is a point on the terminal side of . What is the value of…

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Q: 8. Determine 16 25 a. b. 4 25 dy dx y = for x²-4 +4 when x 1. Show your work. c. 16 25 d. 1

A: The given function is: y=x2-4x2+4

Q: O A. No, since we have only shown that Sk+ 1 satisfies the statement. OB. No, since we must show…

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Q: 6. f(x) 10. f(x) 12. j(x) f(x) 14. 16: Function 3. 7. 9. 11. f(x) 13. f(x) 15. f(x) 17: f(x) 15.…

A: Match the function with the graph of its derivatives.

Q: y = ln x, xy = 4, x = 1, x = 3

A: NOTE: Refresh your page if you can't see any equations. . here we have and the given interval is…

Q: -1 Find f-¹(x) if f(x) Of-¹(x) Of-¹(x) Of-¹(x) f-¹(x) = = = 2x + 1 3 2+x 3x 2x - 1 3 2 - x 2 2 3x +…

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Q: The position of an object in meters at t seconds can be described by the position function s (t) =…

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Q: Find a power series representation for the function. (Center your power series representation at x =…

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Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

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Q: Let f(x)=2 ta(a), Find f'(z). f'(z) -

A: Given query is to find derivative.

Q: Use mathematical induction to prove that the statement is true for every positive integer n. 4 + 12…

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Q: Topic: Time Rates: Inverse trigonometric functions A balloon leaves the ground 500 feet away from…

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Q: The region bounded by f(x) 4x² + 20x + 56, x = 0, and y = 0 is rotated about the y-axis. Find the…

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Q: Differentiate. f'(t) = f(t) = 8t t³t-1

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Q: An architect designs two houses that are shaped and positioned like a part of the branches of the…

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Q: A right triangle has an area of 20 square centimeters and a hypotenuse of 10 centimeters. what are…

A: Solve the following

Q: The given point is on the curve. Find the lines that are (a) tangent and (b) normal to the curve at…

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Q: Find the mass of the lamina bounded by the graphs of y = x² and y = x with mass density p(x, y) = x

A: As we know the expression for the mass of the lamina body is: m=∫cd∫abρx,ydydx   The given curves…

Q: If sin e = V2 and cos e = 4 what is tan 0? 430 O_√7 - 3 4 حرا من 3 O vi 3 - 3 4

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Q: 10) a 26 foot lodder bons against a building so that its foot moves away from the building at the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Consider the ellipse defined as 9x² + 25y² +90x-50y +25=0 • write the standard form equation of the…

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Q: 1. Given the equation y = -7cos(4x + 20), find the following: (write the answers here and on paper)…

A: To solve the following problem and find the following things

Q: Simplify sin (80)+sin (40) cos (80) + cos (40) sin (80) + sin (40) cos (80)+cos (40) = (Simplify…

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Q: The number of bacteria in a culture is given by the function, n(t) 930e0.5t, where t is measured in…

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Q: Use the Divergence Theorem to calculate the flux of F across S, where F = zi+yj + zxk and S is the…

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Q: 4. Trace the curve: y² = x²−4x−12 x²-2x-3

A: for x intercept put y=0for y intercept put x=0y2=x2-4x-12x2-2x-3

Q: Consider the following function: Step 4 of 4: Enter the x-values of any local minima, maxima, and…

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Q: 3) lim X^ X-O' B) i A) O де D) ∞ a(3) = 3₂ E) nove eriste

A: Given query is to find indicated limit.

Q: Topic: Maxima-minima/optimization problems: Inverse trigonometric Functions Find the maximum and…

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Q: If f(2)= 5 and f'(x) ≥ 3 for 2 ≤ x ≤ 6, how small can f(6) possibly be? f(6) ≥ Need Help? Read It…

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Q: Part b pls

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Q: Which of the graphs below could be the graph of a power function with an even power? (a) ☐ (b) ☐ (c)…

A: Even power function With even-powered power functions, as the input increases or decreases without…

Q: 18) The graph of f(x) is shown. fox A) I only 4 B) 1:4 f¹=0 at X = ? c) 1; 4; 5: D) 143536

A: As per guideline only one question is allowed to solve if multiple question is asked in single…

Q: Let f(x) = sin(z))". Find (1). (1).

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Q: (D²+10D + 25)y = -2xe-5x

A: We have to solve the given differential equation.

Q: Find the equation of the line that is tangent to the graph of the function at the right when x = 1.…

A: The given function: fx=9-x3x+1We need to find the equation of the tangent line at x=1.