Find the first and second derivative of f(x) = ln(x)/rootX

Q: Complete parts (a) through (c) for the following function. f(x) = - 3x + 3x - x-1 (a) Find intervals…

A: Here we have to use the concept of derivatives.

Q: Give an example of stable marriage for 3 girls and 3 boys, where nobody gets in couple most…

A: Initialize all men and women to free While there exist a free man M who has still a women  W to…

Q: 1+y dy

A: We can solve the given integral as follows:

Q: A note card company has found that the marginal cost per card of producing x note cards is given by…

A: Given : Marginal cost in cents is C'(x)=-0.08x+75    , for x≤1000   To Find : Total cost for…

Q: The graph of f consists of line segments, as shown in the figure. Evaluate each definite Integral by…

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Q: Need to show workings

A: Apologies for the inconvenience.   ∫abfxdx is given by the shaded region below: This region is…

Q: j. For any 3 x 3 linear system AX = 0 if det A 0 Then Select one: O the linear system is…

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Q: Calculus Question

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Q: Find the area bounded by the graphs of the indicated equations. 12- 10- 8- 61 4-f(X) 2- X= - 3 X = 3…

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

A: We will use binomial theorem for the expansion of the function.

Q: ا وا ور باه واه С. x e

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Q: Which one of these functions has range R over its natural domain? O In(x + sin x) x8 + 4x5 – 3x³ +…

A: To identify which function has the range of all real numbers.

Q: Draw the region bounded by the curves f(x) = 2x2 – x³ & g(x) = 0. Then use the cylindrical shell…

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Q: Match the expression in Column B to complete the statement in Column A. Input the letter that…

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Q: compelete solutions and figures. A circle with an equation x2+y2+kx+4y=12 to point (-2,5) has a…

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Q: Test differentiability at x = 0 and x 1 for the function x3 + 2x; х — 2; 1 0 <x<1 f(x) = x 2 1 x +…

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

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Q: 12 Estimate the integral x°dx using a left-hand sum and right-hand sum with n = 4 subdivisions.…

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Q: 3. Find the area bounded on the right by x+y=2, and on the left by y=x and below by x-axis.

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Q: Solve the following initial-value problem by using integrating factors: x?y' + xy = 1, x> 0, y(1)=2

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Q: -13x - 6 9)

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Q: y = (x+ 2) 2 y = 4 X = -2 y= (x+2)? y= 4 Select the best option to describe the method to solve this…

A: Solution is given below:

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Evaluate the integral using the following values. = 260, x dx = 10, d dx = 260, dx = 2

A: ∫46x3 dx=260 , ∫46x dx =10 , ∫46 dx= 2∫46 (29-5x-x3) dx = 29∫46dx - 5∫46x dx - ∫46 x3dx

Q: Write the form of the partial fraction decomposition of the rational expression. Do not solve for…

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Q: 8 Jcos xdx Scos xdx 10 12 Scos? xdx

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Q: 7x – 21 Find ,where y = x +1 Enter the exact answer. dx

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Q: 1. Which of the following statements is TRUE? (Circle ALL that APPLY) The minimum velocity occurs at…

A: We want to find the correct statements.

Q: Under certain​ conditions, the number of bacteria present in a colony is approximated by…

A: Given, f(t) is the number of bacteria present at time t in minutes. f(t)=(A0)e0.022t A0= 2100000…

Q: B a A b Note: Triangle may not be drawn to scale. Suppose c = 15 and A = 25 degrees. Find: a = b = B…

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Q: 3. A 1 000-metre track is to be built with two straight lines and semicircles at the ends as shown…

A: Solution is given below:

Q: Find the gradient vector field (F(x, y, z)) of f(x, y, z) = In(x + 3y + 4z) . F(2, y, 2) =

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Q: Evaluate the double integral to the given region R. [|xy e dA; R={(x.y)l 9<xs 18, 0 sys 1} R

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Q: Use the initiator and generator shown to produce the next two stages and attach your answer.…

A: In order to proceed to next two stages we need to get the logic behind the initiator and generator.

Q: dx e 2x+1

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Q: 2.2 7. Using the table of values for the function g shown below to estimate f, g(x)dx using L3, R3…

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Q: find the length of the arl 30 rse from f=0 to 0 =2

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Q: Find f. f"(8) = sin(e) + cos(e), f(0) = 5, f'(0) = 4 f(e) = 5t – sin (t) – cos(t) + 6

A: Here we have f''θ=sinθ+cosθ, f(0)=5, f'(0) = 4 fθ=?

Q: Curve z =1- sint, y =1+ sint, t E [-5, is representing a part of parabola hyperbola circle ellipse…

A: The given parametric curve is: x=1-sin t y=1+sin t

Q: Do not use a calculator in this question. 3 V3 6+2v3 5- V3 p+qV3 6. find the CS CamScanner value of…

A: This question is based on similar parallelogram properties and rationalisation.

Q: 27t3 dt

A: Given query is to find the integral.

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

A: Given

Q: Cosk Find all solutions on the interval [0,2n). Use exact value. 16sin (x) - 8sin(x) – 8 = 0

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Q: Activity 1.3.2. Consider the functionf whose formula is f(x) = 3 – 2x. c. Use the limit definition…

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Q: 19T Which angles are coterminal with an angle with a measure of 36 ra- dians? Select all that apply.…

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Q: If log₁₀ x = 5, what is the value of x?

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Q: Find f. f"(x) -2 + 36x – 12x², f(0) = 2, f'(0) = 14 %3D f(x) =

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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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