Find the derivative of the function y x² + 6x +1 √x

Q: 33. Free-throw Shots According to physicist Peter Brancazio, the key to a successful foul shot in…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: x²-4y+9=0

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Q: 3. An aluminum rod 8m long has linear density √2+1 kg/m. Find the total mass and average density.

A: Total mass of a rod of length l of having linear density ρ(x) is ∫0lρ(x)dx.Average density…

Q: How Many Fields? A farmer has one square mile of land. (1) If he divides his land into square fields…

A: The answer is given below:

Q: Consider the following vector function. r(t) 1) = ( 76, 21-12², 12) (a) Find the unit tangent and…

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Q: 00 8 12 -1 lim g(x) = lim g(x) x 3 = 3+ 2+ 10 -1 1 2 3

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Q: 3.) (2xy³ + y4)dx - (2y - y³x)dy=0

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Q: I. Let z = /x² + y². 1. Find 8²% дудх 2. If x and y are functions of v and w given by x = v² ln w…

A: I, Given z=x2+y4 Let f be a function of x,y, x,y be  functions of v, then by Chain Rule we have,…

Q: Given the graph of the piece-wise defined function below, f(x), find the following: a) Domain: 5 b)…

A: As per guidelines we can answer only three subpart questions at a time, so if you need more answers…

Q: Question 28 Find the equation of the curve whose y" O y = 2 sin ¹(x). y = Question 29 y=sin-¹(x) -…

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Q: how did you arrive at the value of 20 for the coeficciant of the derivitave?  4/5 of 45 is 36.  Also…

A: Query regarding value of coefficient in step - 2. In order to explain step-2, the step is again done…

Q: 2. Solve each problem : (a) Find an equation of the line that passes through the point (-3, 4, 2)…

A: I have appended the formula used in the solution part

Q: 3. Find the plane that satisfies the following conditions: (a) The plane that passes through the…

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

Q: Write an exponential decay model with A (t) representing the amount of Iodine-125 remaining in the…

A: Initial amount of Iodine, A(0)=0.72 grams Rate of decay, = 1.15% r=0.0115

Q: 15. x(x + y)y' + y(3x + y) = 0

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Q: Let f(x) = The equation of the tangent line to the curve at the point (3,0.40000) can be written in…

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Q: sinh(2 ln(c)) = 1 (A) = + 2/2/2 (B) c² - 1 (C) -2/ 2 (D) c- ! с (E) 0

A: Note:- According to the company policy we can attempt maximum one question so please upload the next…

Q: An unevenly heated plate has temperature 7(x, y) in °C at the point (x, y). If 7(2, 1) = 140, and 7,…

A: Let f be a function of two variables, the approximation   f(x,y)≈ f(a,b)+ fx(a,b)(x−a)+ fy(a,b)(y−b)…

Q: Consider the function f(t) = −t² + 3t. Find the average rate of change of f over the interval [4,4 +…

A: We can find the answer in the below steps.

Q: Graph the following system of linear inequalities.     3x − 2y   ≤   4 −4x + y   >   −6

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Q: Given the graph of y = f(x) shown below, what is the graph of y = f(x - 4) + 3? -7-6-5 |||||| 3 -I…

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Q: 1. Differentiate y = √e(72²-2) (a) by using the chain rule directly with functions f(x) = VI and…

A: Given, y=e7x2-23

Q: 10. C. B.x 아타 1 i B. 유 = (32i + 425 - xyR) . (음 1 + + 으음?) 스 = KA = th 3x2 ax 3가고 x 2 + 42 0 - 24 2…

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Q: 211 रे Solve X हउ Solve in terms of i for solution set,

A: This question can be solved using the formula a2-b2=(a+b)(a-b)

Q: Find the equation for the ellipse with foci at (2√5, 1) and (−2√5, 1) and one endpoint of the minor…

A: Given:  foci is at (2√5, 1) and (−2√5, 1) and one endpoint of the minor axis at (0, −3 ).

Q: We are trying to prove the following limit. Once we have specified & in terms of &, one of the steps…

A: From ε-δ definition of limit we know that, limx→af(x)=L implies for a pre-assigned ε>0 there…

Q: Given f(x) = x²-3x+2 x+6 which of the following statements are true? Select the correct answer…

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Q: 2. Given the vector function (t) = (cos 2t, sin 2t, tan² 2t), find a) The unit tangent vector T (t)…

A: Given question :- We have to find unit tangent vector and equation of tangent line at the given…

Q: A partial fraction decomposition of P(x) H(x) = form Ο Α x+1 Ο Α x+1 Ο Α x+1 Ο Α x+1 (x + 1)²…

A: Topic-partial fraction decomposition we are givenH(x)=P(x)(x+1)2(x2+x+1)

Q: Given that f(x) h(-1) = 5 h'(−1) = 8, x¹²h(x) calculate f'(-1).

A: f(x)=x12h(x)

Q: 1 2x=3 f(x)==-

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Q: Problem 4: Find the set on which the function is continuous. 1 a. f(x) = 2-¹ e b. f(x)=√4x²

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Q: Find Euler Approximation of the solution y(t) of the IVP y'=2y+3, y(0)=2, within interval [0,3],…

A: Euler's Method yn+1=yn+h.ftn, yn where tn+1=tn+h Given dt=h=1, y(0)=2 or t0=0, y0=2, y'=2y+3 or…

Q: If find f'(x) f(x) = = 5x² tan x sec x

A: Given :fx=5x2tanxsecx

Q: 6. 7. 00 8. x = C₁ cos wt + C₂ sin wt; w a parameter y = cx + c² + 1 h y = mx +=;h a parameter, m to…

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Q: Complete the table. (Round your answers to five decimal places. Assume x is in terms of radian.) 3…

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Q: a. limx→o f(x) MATH 190: CALCULUS Exam 1 Problem 1: The graph of f(x) is given. Find each limit or…

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Q: A woman drops a front door key to her husband from their apartment window several stories above the…

A: The function h=-16t2+64 gives the height h of the key in feet, t seconds after she releases the key.…

Q: d [f(x) dx g(x). Let f(x) = 6 and g(x) = ln(x). Find-

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Q: Evaluate the integral. 56 So ex Jo 8x² + 9x + 1 1 dx

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Q: Determine the open intervals where the function graphed below is increasing and where the function…

A: We have given graph of a function  Function is increasing for those interval , when as x increases…

Q: Find the equation in slope-intercept form of the line tangent to f(x) = 4x² + 4x − 9 at x = 3 . The…

A: Here we have to find the equation of line.

Q: s the function f(x)=4 x +(2)/(7) linear or nonlinear?

A: Is the function f(x)=4x +(2/7) linear or nonlinear?

Q: tan x cos √√y dy = 2 y 4 + sin² x dx

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Q: Which of the following cannot be solved by integration by parts?

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Q: Identify the open intervals on which the graph below is increasing and decreasing. -5 -4 -3 -2 -1…

A: Graph is increasing on a interval if the y values continuously increase as the x values increase in…

Q: Show the ODE is not exact, but can be made exact. SOLVE. (x+x+2y + 1) dx + (x + 1) du 0 =

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Q: Find the average rate of change of the function f(x)=x²-5x + 3 between x = 1 and x = 2. Enter an…

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Q: Find the slope of the tangent line to r = cos(20) at 0 = 4.

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Q: The graph of y = f(x) is shown below. -6-5-4-3-2 Provide your answer below: 23456 Draw the graph of…

A: given graph of f(x)Translation rule:1) f(x+k) shift f(x), k units left2)kf(x) vertically stretch the…