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Q: If y = x + 1* find f''(0)

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Q: Determine the value of f"" (1) when f(x) = 4ln (x+3). 1. ƒ""(1) 2. f"" (1) 3. f" (1) 4. f" (1) 5. f"…

A: f(x)=4lnx+3d dx(lnx)=1xd dx(xn)=nxn-1

Q: 5). § sech x tanh-x dx

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Q: 2) A function is given by 00 x* e=*dx. *e*dx. h(k) 00 Its values may be found in tables. Make the…

A: Recall that the Gamma function is an alternate form for defining the factorial notation. Gamma…

Q: r(t) = ( tan(7t), sec(8t), -'(t) =

A: rt=tan(7t),sec(8t),1t2 We have to find r'(t)

Q: 17. The displacement (in meters) of a particle in motion is given by a= dt -t², where t is measured…

A: The displacement function is provided. And, we know that velocity is the derivative of time. So,…

Q: 4. The graph of a function f(x) is given below. 4. In the interval (-00, -3) a) f'(x)>0 and f"(x)>0…

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Q: 1. Use the graph below to fill in the missing values. 4- 3 2 f(0) f(x) = 0, a = f-'(0) = f (x) = 0,…

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

Q: 3y'''+ 5y'' - y' + 7 y = 0, y(0) = 1, y'(0) = 4, y''(0) = 5.8

A: The main objective is to solve the given differential equation.   In the problem  the roots of…

Q: 5- 4 -5 -4 -3 -2 I 2 3 -4 -5 At the point shown on the function above, which of the following is…

A: When f''>0 then function cancave up when f''<0 then function cancave downward when f'<0…

Q: AF f(1) = 6 glD=5 h(1) = 3 f'(5)=-7 g'(5) = -11 (5) = 15 f" (-11) -2 - g" (-11) = 3 f(1) = 4 g(1) =…

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Q: Find the following values in dollars per thousand watches. (Round your answers to two decimal…

A: Given Data: Demand Function: dx=550.01x2+1      0≤x≤20   (a) The first derivative of the demand…

Q: If f(x) = 3 + 7 22 Find f'(5). -0.36 Find f''(x). Find f''(5). 7 X + 2 x2 find f'(x).

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Q: 6. In which of the following intervals is the function y = x + 3x2 increasing only? -3<x<-2 -3<x<0…

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Q: 12) Let f(0) = -5, g(0) = 6, f'(0) = g(0) = -1. If h(x) = f(x) g(x), find h'(0). 13) With f, g as in…

A: To find h '(0) for the defined function h(x).

Q: Find the equation of the curve that passes through the point (7,3) if its slope is given by dy = 7x…

A: As per our company's policy, we can solve first question only. Please repost other question…

Q: Find the slope of the graph of the function at the given value. f(x)= 2x² + 4 when x = 5

A: Slope of graph of function at given point is first derivative of function at that point.

Q: Find an equation of the tangent line to the graph of y=9* at the point (-1,9). 01) y=9_(x+1) 9 9 ○…

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Q: Each of the graphs shown below shows the position of a particle moving along the x-axis as a…

A: What is Velocity? Velocity is the prime indicator of the position as well as the rapidity of the…

Q: 4. Assume that each variable of the function in y is a function of time t. Desmos | Graphing…

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Q: Suppose F(z) = g(f(z)) and f(2)= 3. f(2)=-3, g(3) = -1 and g (3)=-4. Find F(2).

A: Recall: Chain Rule  Let F(x)=g(f(x)) , then F'(x)=g'(f(x)) f'(x)

Q: Substitute the value of y' in 1 + (y)²

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Q: Question 7 of 10 Calculate the following derivative if h(w) = Vwebw. (Use symbolic notation and…

A: Given query is to find the derivative of the function h(w).

Q: Solve. 1. Find the equation of the family of curves whose slope at any point (x, y) is 3x. 2.…

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Q: The question says: "Sketch the graph of a function for which f(0)=0, f'(0)=3, f'(1)=0, and f'(2)=-1.…

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Q: 3 5. If f(x) = and g(x) = 4*, find: X-4 a) f-¹(g(x)) b) the domain and range of f-¹(g(x))

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Q: Find the inverse of f(x) = 11 x + 3. %3D f-'(x) =

A: Given:- f(x) = 11x+3 To find :- Inverse of f(x)  i.e. f-1(x)