Q-3: [5 marks] Use the definition of the derivative to find the derivative of the function f(x)= /1 – 9x.

Q: 2 For the function f(x) = find f"(x). Then find f'"(0) and f'"(3). 1+x f'"(x)= | O

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Q: у" — бу' — 7у%3D11 sin 4x -

A: We have to mention the general form of the particular solution

Q: Cohsider the set A illustrated on the number line below: -5 -4 -3 -2 -1 1 2 3 4 Which one of the…

A: We can solve the given problem as follows:

Q: Find a power series representation för the function. (Give your power series representation centered…

A: The given function is f(x)=ln(11-x).

Q: Rotate @ x – axis : DISC method A = R(B) = xC Submit A, B, C (small letters or numbers) X=3 Y=9

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Q: 6. Sketch the graphs of y = cosh x and y-axis, x= In 2 and x-axis. Shade the region bounded by the…

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: One positive number is 7 times the reciprocal of another. Find the numbers if their sum is a…

A: Let the numbers are x and y  x=7y Sum of the numbers(S) = x + y S = x + y S = 7y+ y Differentiate…

Q: 5 (5y, + 1.5y)3 16.036 (5 + 2/3.25y.) INIM

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Q: Find the open intervals where the function is concave upward or concave downward. Find any…

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Q: A function f has f(10) = 23, f'(10) = 2 and f" (x) 10. Which of the following are possible values…

A: Find your answer below

Q: Use the Law of Sines to find x. Let a = 85, ZA = 34.6°.

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Q: Evaluate the following Integrals by part: 1- fx°e*dx

A: This is a problem related to integration of the function. Based on the general formula we will…

Q: 3 f(x) = x° – cos(x) %3D х — - Solve this question by the Fixed-point method on the topic of…

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Q: Jcos xdx Scos" xdx 10 12 fcos? xdx

A: 8.)∫-ππcos2x dx ( since, f(x) =cos2x , If f(x) is an even function i.e:  f(-a) = f(a)then ∫-aaf(x)…

Q: 3 п2-п-2 1. n=3

A: Given query is to find the limit of the expression.

Q: . The population of a bacteria colony after t hours is given by P(() = 2000e growth rate of the…

A: To determine the growth rate of colony at given time.

Q: Fluid runs through a drainage pipe with a 10-cm radius and a length of 10 m (1000 cm). The velocity…

A: v0 = Velocity at center of pipe cmsv0 = 195.9 cmsL = length of the pipe cmL =…

Q: Consider the function y = x + 2x + 8. Using the values x = 5 and Ax = 0.5, calculate A y - dy. Round…

A: Given : y = x2 + 2x + 8 x = 5 and ∆x = 0.5 Calculate ∆y - dy ∆y = f(x + ∆x) - f(x) ∆y = f(5 + 0.5) -…

Q: Vn Σ: 4n2 + 9 n=1

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Q: 1. S 5e*dx 2. S(2 – 3e*) dx

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Q: ) I would eed help to dentify the surface whose equation is given below, please?  2r^2 + z^2 = 1

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Q: Activity 1.2.3. Consider a moving object whose position function is given by s(t) = t2, where s is…

A: topic- average value

Q: SD(x -2+) dx = x(x' – 4x + 4) + C 2 +) dx = x(x* - 4x + 4) + C 7. S(cot?x + 2)dx =x - D +C 8. S…

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Q: Both x and y denote functions of t that are related by the equation x2 + y? 2x + 6y. Use this…

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Q: Use an appropriate local linear approximation to estimate the value of the given quantity. Round…

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Q: x²+2x-63 1. a) Find the value of lim, x-7 10*-10-* b) Evaluate lim,¬ 10*+10-x

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Q: Determine whether each of the following series diverges, converges absolutely. or converges…

A: As per our guidelines we can answer only 1 question so kindly repost the remaining questions…

Q: The population of a bacteria colony after t hours is given by P() - 20 growth rate of the colony…

A: We can solve the given problem as follows:

Q: Evaluate. (Be sure to check by differentiating!) 15 * Inx dx, x> 0 (Hint: Use the properties of…

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Q: 51 |x* sin 3xdx 2 53 [x' sin 3xdx 55 sin 3xsin 2.xdx

A: As per the guidelines I am supposed to do the first question among multiple questions. So I am doing…

Q: f (x)=, 1- sin x

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Q: Write a general power series of a solution centered at a regular point x0=3.

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Q: Find the antiderivative F of the function f(x)= x^2 + 2x + 2 such that F(-1) = -1.  F(x) =

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Q: 9. if A = [12 3; 4 5 6; 7 8 9], inverse of A is denoted by O A(inv) O inv(A)

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Q: Question 4 ($2 Q10] Determine whether the following relation is a function from R into R. Also…

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Q: J (3vx +) dx = *+ 3) +° si- dx = In\xl - e* + C 3. 4. E. x2 %3D (鼎) 「(回-dx=n F. 2V 5. S 2+3* dx = 4…

A: Note:- As per your demand we solve question 4,5,6 for you  Given problems:-

Q: (2x.y? -4y)ds

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Q: Sketch the region whose area is given by the definite integral. хр y3 Use a geometric formula to…

A: Given query is to find the value of the integral

Q: function and determine the radius of convergence  f(x) = x/(1+4x)^2

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Q: Find any critical numbers for f and then use the second derivative test to decide whether the…

A: For finding critical point f'(x) = 0

Q: Find the Maclaurin series for f(x) = cos (x'). %3D (Use symbolic notation and fractions where…

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Q: Question 6 of 13, Step 1 of 1 Co Consider the function u = (-3t + 6)2. Find the differential for…

A: We can find the differential as below.

Q: Given sinα=0.378sinα=0.378 and sinβ=0.349sinβ=0.349 with both angles' terminal rays in Quadrant-I,…

A: Given problem:- Given sin(α)=0.378 and sin(β)=0.349 with both angles' terminal rays in Quadrant-I,…

Q: (-1)²-1n n+vn b) an (Hint: Show what happens when n is odd and when n is even) %D

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Q: What is the solution to this differential equation y"(x) - 4y'(x) + 4y(x) = 0? %3D I. y = e2x II. y…

A: Find your answer below

Q: 6.26. у - Зxу%3D0

A: Topic = Differential equation

Q: 2) The rate of change of an electrical current, i, in a microprocessor circuit is given by di 0.4t –…

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Q: 4. dx = Inlx -e* +C %3D 5. S 2+3*dx = 4 6. Inlxl + C

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Q: d. The curves y=x-4, y-8-2x.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 3. Evaluate the following integrals: Cose G = 1+ sin ở) v de Vsin

A: LetI=∫cosθ1+sinθsinθdθPut sinθ=udifferentiate on both sidecosθdθ=duI=∫1u1+uduPut u=v2differentiate…