for the function f(x) = 2 cos(45x)o , determine: the instantaneous rate of change at x = 12. you decide the h value to use.

Q: .Find the instantaneous rate of change to the function f(x)= sin.x tan.x at x=- ? 4 а. 0 b. с. л d.…

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Q: Let B = 5 T as in Example 3. Estimate the instantaneous rate of change of B with respect to T when…

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Q: Find the value of the derivative y′(x) at x=0 for the function given by ey+xy=e.

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Q: When a vertical beam of light passes through a transparent medium, the reason that its intensity I…

A: We have to find What is the beam intensity at 15 feet below the surface.

Q: Find the indicated derivative. 32 df If f(x) =F + 12 x, find dx x = 4 df dx x = 4

A: Topic:- Derivatives

Q: What is the closest value to the instantaneous rate of change of the following function at x = T?…

A: Ans:  Given  fx=2 cosx-π2  at  x=π          ⇒fx=2cosx coπ2+ sinπ2         ⇒fx=2cosx 0+sinx1…

Q: Suppose f(x) = e**+5x+7. Find the df derivative dx f'(x) =

A: We have to find

Q: What is the value of ln[f'(2)] if f(x) = e^x?

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Q: Find the rate of change of x with respect to p. 4 x2 0 0.000001x2 + 0.09x + 5 dx dp ||

A: Proceed as shown below

Q: What is the closest value to the instantaneous rate of change of the following function at x = 2?…

A: Instantaneous rate of change of a function at a point represented by the slope of the line at that…

Q: Two students are calculating the instantaneous rate of change of y= sin(x) at x = Student A claims…

A: Given is the function y=sinx and the point is x=π3 The rate of change is represented by two students…

Q: Given the function f(x) √x f(x) = COS 2 1 + √r dr Determine the instantaneous rate of change at x =…

A: Using Leibniz rule of derivative

Q: For what values of x is the instantaneous rate of change of the graph of y = sin x equal to 0? O and…

A: See solution below

Q: nd the indicated derivative. 8 dv 7) if v=t+- dt t

A: We are asked to find the derivatives.

Q: to determine the instantaneous rate of change c Use f(x+0.0001)-f(x) 0.0001 f(x) = 5x² - 7x ata = 2,…

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Q: Find the indicated derivative. dy for y =x19 dx

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Q: The rate at which the number of bacteria in a culture is changing (in thousands of bacteria per…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: What is the first derivative of the function h(t) = t/2t – 3

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Q: The number of bacteria in a culture is given by the function n(t)=960e0.4tn(t)=960e0.4t where tt is…

A: To find- relative rate of growth of this bacterium population

Q: Find the derivative of the function. - 5x - 4 e to y=xe dy dx ||

A: Finding the derivative of the function

Q: In the equation, x² + y² = 45, what is the value of the rate of change in y with respect to time t…

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Q: Given the function f(x) = e-3x cos 3x, x = [0, 2π]. When is the rate of change of f(x) a maximum?

A: Here, the given function is: f(x)=e-3xcos(3x) Now, the rate of change is given by: f'(x)=e-3xddx(cos…

Q: The pressure P (in kilopascals), volume V (in liters), and temperature T (in kelvins) of a mole of…

A: Hair we use the application of derivative to find the solution of given problem. You must know about…

Q: tan(Cx) Va6+2 find the rate of change of P with respect to x, where C is a Given that P = constant.

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Q: 2. Find the instantaneous rate of change for y= arctan- at x = 3. 2 12 A. 85 2 В. 13 3n D. 4 С. О

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Q: 2. The height of the tides at a certain spot in Nova Scotia can be found by the equation h(t) =…

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Q: dy Solve the derivative for the function x arcsin e', y = v1 – e2t. dx

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Q: Given f(x)=1/x+2, find the average rate of change of f(x)on the interval [10,10+h].

A: Given,

Q: The rate of change of y is proportional to y. When t = 0, y = 2, and when t = 2, y = 4. What is the…

A: Given that rate of change of y is proportional to y that is, dydt=ky        ...(1)

Q: for the function f(x)= √2x+3, estimate the instantaneous rate of change at x=5. use h value of 0.01

A: The instantaneous rate of change of f at x = a is f'(a), if it exists,

Q: from the edge of a cliff into described by the function ht rate of change in the height - 4.9t² +…

A: Formula average height change=(h(b)-h(a))/(b-a) Where a=4second b=5second

Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

Q: for the function f(x) = 2 cos(45x)o , determine:  the average rate of change for the interval 13  ≤…

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Q: Find the derivative dv/dpsi of v(x) V()| V(vi) where V(y) = (1 - e-√2 and 16 V (vi) = (1 - e-√2…

A: Given v(ψ)=VψVψi           (1) where Vψ=1-e-16π3ψ2 and Vψi=1-e-16π3ψi2 Since ψi≠ψ and ψi is the…

Q: Because of heavy rainfall, the water level in a reservoir is rising at a rate of g(t) feet per hour,…

A: Given problem :- Because of heavy rainfall, the water level in a reservoir is rising at a rate of…

Q: The population ( in hundreds ) of fish in a pond is given by P(t) = 2t + sin(2t – 10) t months from…

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Q: The third derivative of the function y = e2a with respect to x is

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: The height of an arch above theground is given by the function y = 10 sin x, for 0 ≤x ≤∏.What is the…

A: The height of an arch above the ground is given by the function y = 10 sin x, for 0 ≤x ≤∏.What is…

Q: Suppose that electricity is draining from a capacitor at a rate that is proportional to the voltage…

A: Solve the differential equation by variable separable method. 1) when it is given that voltage drop…

Q: are

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Q: The derivative of the function y = cos VI at z = is equal to 4

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Q: for f(x, y) = sin(O 2- Find the third derivative for

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Q: • Find a formula for the nth derivative of y = 47ª, telling me how you decide what to do at each…

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Q: The value of y varies at a constant rate of change of 1.7 with respect to x. If x varies from x=3 to…

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: By using the definition of the derivative, find d/dx   1/(2−x).

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Q: It follows from Poiseuille's Law that blood flowing through certain arteries will encounter a…

A: Given  R(x) = 0.25(1 + x)4

Q: dC The rate of change in the concentration of a drug with respect to time in a user's blood is given…

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Q: The rate of change of the concentration of a bacteria culture is given by R(t) =80/ln2 (2)t, where t…

A: Given