) Find dy/dx if y = ln 3 2x³ 2 3x²+5, 4

Q: The graph of a function f is shown. y 800 400 x 0 20 40 60 (a) Find the average rate of change of f…

A: a. First find f(50) and f(60).f(50)= 400f(60) = 700Now use the AROC…

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Q: The following question is part of a review packet that was given out in means of studying for my…

A: We are tasked with finding the area of the region bounded by the curve  f(x)=x2−7x+10 , the x-axis,…

Q: 3 2 1 0 3 3. -1 2 -2 ♡ 2 2-2 ♡ 3 -3 -3 -2 -1 0 1 2 3 X

A: SOLUTION 1 : Functions corresponds to the contour map : ln(x2+4y2)  SOLUTION 2 :To estimate the…

Q: please help find the limit thank you

A: If you have any problem let me know in comment box thank you.

Q: Compute r''(t) when r(t) = (t³, 9t, sint). r''(t) = (

A: If you have any problem let me know in comment box thank you.

Q: Evaluate the integral. 4+ e-6x e4x dx 1 e-4x (4e6x-4) + C 10 O-4e-10x (10e4x + 1) + C 24 e-6x…

A: Step 1: Step 2: Step 3: Step 4:

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A: The force due to gravity (F) can be calculated using the formula:F=m×gwhere:m is the mass of the…

Q: Find the most general antiderivative. S √1-x2 dx 8 sin 1 x - 5 In |x| +C sin-1 x in Ix 8 5 + C O 8…

A: Step 1:As we know that Integration of  1/√(1-x2)=sin-1(x)And integration of 1/x=ln(x) Step 2:As…

Q: Verify by substitution that the given function is a solution of the given differential equation.…

A: ANS :7 ​​Fory1​=exCosx​​  Fory1​=exSinx​​     ANS :12 ​​Fory1​=xCos(lnx)​​ Fory2​=xSin(lnx)​​

Q: HELP ASAP

A: Feel free to ask for further explanations!

Q: Using the graphing software application of your choice, plot the following: (a) The 3D plot of z =…

A: Step 1: The 3D plot of z=sin(xy) can be plotted as follows:Step 2: The required parametric plot can…

Q: sketch the graph of the function f(x)=x2 - 4/x2 - 1 Steps required: Domain x- and y-intercepts…

A: STEP :1 ​​    STEP :2 ​​   STEP :3 ​​   STEP :4 ​​   STEP :5 ​​   Graph :​​

Q: Solve show work pls

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Q: Solve and show work ols

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Q: This is part of a review packet that was handed out to my class in means of studying for our first…

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Q: assumed that c is a constant such that c > 1. f(x) = In (4x) g(x) = 6 sin (9x) Red Cord: f'(c) Green…

A: Step 1: Step 2: Step 3: Step 4:

Q: Right Triangle Trigonometry: Find the values of sine, cosine and tangent of for . Write  your…

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Q: Given the function f(x) = ln (6x²), determine the following: (c) Graph the function and this tangent…

A: Step 1: As the exact point of tangent has not been mentioned, we find the equation for the general…

Q: you would first shift the graph of f(x)=x to the right by 1 unit, and then shift it downwards by 3…

A: Step 1: Plot the graph of the original function f(x)=x​. Step 2: Shift to the right by 1 unit.So,The…

Q: Use the function definitions provided in organizing the tiles. f(x) = ax ln(x). g(x) = h(x) = = 9.…

A: Step 1: Step 2: Step 3: Step 4:

Q: Please show how to solve and write what you are doing in each step

A: Step 1:Step 2:Step 3: Step 4:

Q: 6. Find the domain of f-1 where f (x) = 2x+5 4x+7

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Q: pleasde help thank you

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Q: x= ?

A: We determine where the function f(x) = (x2 - 7)/(x + 2) is not differentiable by considering two key…

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Q: Compute r''(t) when r(t) = (+14,4t, sin t). r''(t) =

A: The first derivative of a vector function r(t) = (f(t), g(t), h(t)) is given by r'(t) = (f'(t),…

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Q: Expand f(x) = (1+x)^1/2 to the linear order of x and estimate the error when 0<x<1/2.

A: Step 1:Step 2: Step 3: Step 4:

Q: 4. Use transformations to sketch the graph of the function (a) y x²-2x-2 (b) y = ex+1-1

A: Step 1:(a) y=x²−2x−21. Start with the basic function: y=x² 2. Shift the graph horizontally:The…

Q: Solve both correct complete solutions 100% sure experts solve it correct complete solutions okk

A: Step 1:25.The function will approach infinity if the denominator becomes zero.Denominator = 0 =>…

Q: hello! I do not understand continuity. I just finished learning the limits and continuity has been…

A: Step 1:Step 2:Step 3: Step 4:

Q: 21. Prove: a. If and is in (a, b), then y = yo is a solution of on (a, b). f(x,yo)=0, a<x<b, y =…

A: Analyzing the Problem Problem Statement: Given a function f(x, y) satisfying certain conditions, we…

Q: 4. Solve the Riccati equation y' = x² + 1½y + 14y² given y = x³ is a solution.

A: Step 1: Step 2: Step 3: Step 4:

Q: Find the most general antiderivative. 5 dx √1-x2 X ○ 5 sin-1 x-In |x| +C 5 sin 1 x + 3 In |x| +C…

A: We are tasked with finding the most general antiderivative of the following…

Q: This is just for a practice problem for my exam #1!!

A: To solve this problem, we need to compute the price elasticity of demand (ε) and then interpret its…

Q: Consider the initial value problem y = 3x(y-1) 1/3, y(x0) = Yo. a. For what points (0, 0) does…

A: Step 1:Step 2:18.Step 3: Step 4:

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Q: Correct complete solutions it both okk

A: In calculus, the derivative measures how a function changes as its input changes. It's a fundamental…

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Q: please help thank you

A: Step 1:Step 2: Step 3:

Q: Indeterminate Limit Problem

A: If you have any problem let me know in comment box thank you.

Q: 8:37 PM Tue 24 Sep 11- 10 9 8 7 6 5 4 3- 2 1- 1 2 51% gauthmath.com 56 Graph of h Example 3: The…

A: The question asks on which interval the average rate of change of the function y=h(x) is greatest,…

Q: Pls solve with detail explaination

A: (15):Step 1: (16):Step 2:(a):(b): (17):Step 3:(a):(b): (18):Step 4:

Q: Select all functions that do NOT satisfy the following differential equation. Utt = 81uxx a. u(x,t)…

A: Conclusion:The functions that do not satisfy the differential equation are:(a)(b)(c)

Q: please solvd

A: f'(1) is equal to the instantaneous rate of change or slope at (1, f(1)). Which is similar to the…

Q: Find the vectors T, N, and B at the given point. r(t) = &lt; t2, 2/3t3, t &gt;, (4, 16/3, 2)

A: Step 1: Step 2:Step 3: Step 4:

Q: Question 14 Which of the following functions is NOT homogeneous? - In y) y3 y (ln r 2 e x + y Inxx…

A: Question 14:Which of the following functions is NOT homogeneous?We check each function for…