2. Estimate the instantaneous rate of change of y = at x = 1. Show your work. 2x-3x+1

Q: Find the instantaneous rate of change for function at the given value. F(x) = x2 + 2 at x = 0

A: Given a function, F(x) = x2 + 2 at x = 0 To Find the instantaneous rate of change for function at…

Q: Estimate the instantaneous rate of change at x= 1 for Ax) = /x + 1. a) -2 b) -0.5 c) 0.5 d) 2

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Q: Suppose x and y are functions of third variable t. In the equation x+y=45, what are the values of…

A: The given equation is: x2+y2=45   .....(1) When x = 3, 32+y2=45y2=45-9y2=36y=±6

Q: Suppose x and y are functions of third variable t. In the equation x2+y2=45, what are the values of…

A: In the question it is given that x and y are the function of the variable t in the equation…

Q: Estimate the instantaneous rate of change of the function at x = -2. 2 (2, 0) -4 4 -2 -4 (-3, –5) a)…

A: Given:

Q: 5. Find the instantaneous rate of change of 1 g(x) = 2x – 32x° + 17x² – 9x + 4 at x = 2

A: Given equation is, gx=2x4-32x3+17x2-9x+4

Q: Find the instantaneous rate of change Of the function at the Speciried value of X flx)=X?-2; X -3

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Q: 2. Informally explain that a function is considered differentiable, if small changes dx, to the…

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Q: By choosing small values for h, estimate the instantaneous rate of change of the function f(x) = x³…

A: Use the diffrention formula then simplify

Q: 4.) The cost in pesos of producing x units of a certain commodity is C(x) = 0.05x? + 10x + 5000.…

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Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

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Q: Let r be the reciprocal of a number n. /hat is the instantaneous rate of change of r with respect to…

A: Let r be the reciprocal of number n ⇒r=1nNow,instantaneous rate of change of r with respect to n…

Q: What is the rate of change of f (t) at t = 7.5?

A: The rate of change is calculated using differentiation. The derivative of f(t) at t=7.5 gives the…

Q: When the annual rate of inflation averages 5% over the next 10 years, the approximate cost C of…

A: Consider the approximation cost of goods. Ct=p1.05t Rate of change of C=dCdt. So, Differentiate the…

Q: 2. If f(t) is the rate of change of some quantity, then what does f (t) dt represent?

A:

Q: Suppose x and y are functions of third variable t. In the equation x2+y²=45, what are the values of…

A: This question is related to application of derivatives.

Q: find the rate of change. The reciprocal 1/x with respect to x when x = 1, 2, 3

A: The rate of change of a function is the value of the derivative of the function; thus, let the…

Q: How would i calculate the instantaneous rate of change given at the given point (3,10.1)?

A: Let's find.

Q: S(2) = 32+-4 ant line to f(2) (ak.a, the average rate of change of ) from input val

A: Please refer to the image below

Q: If f(x) = 3x + 2x + 6, find the instantaneous rate of change of f(x) at x = 1. -

A: Topic - applications of derivativea Instantaneous Rate of change of f(x) at x is given by slope of…

Q: 3. fox =V X at X T6

A:

Q: What is the rate of change of y with respect to x for this function?

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Q: Suppose y varies at a constant rate of change of 4 with respect to x (so that Δy=4⋅Δx ), and when…

A: topic - linear equation in two variables

Q: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

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Q: d. In which direction is the instantaneous rate of change the maximum from (1,0)? What is the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: 1- Find the average rate of change for y == x, = 1 X = 2

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Q: Suppose x and y are functions of third variable t. In the equation *+y=45, what are the values of…

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Q: Estimate the instantaneous rate of change of P(t)=3t^2− 6 at the point: t =

A:

Q: Suppose that D = √x² + y² is the length of the diagonal of a rectangle whose sides have lengths x…

A: To find the formula for the rate of change of D with respect to x, differentiate D=x2+y2, using the…

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: Suppose x and y are functions of third variable t. In the equation *+y=45, what are the values dr of…

A:

Q: Suppose x and y are functions of third variable t. In the equation +y²=45, what are the values of…

A: First we will differentiate the given equation with respect to t using the chain rule of…

Q: 3x? 1. Find the rate of change ofY when x =2 X-1

A: Explanation of the answer is as follows

Q: Find x0 given that the rate of change of y =2x2+x-1 with respect to x at x=x0 is 4

A: giveny =2x2+x-1 rate of change=4rate of change=dydxdydx=4x+1

Q: 8. Use the difference quotient to find the approximate instantaneous rate of change for the function…

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Q: Find the rate of change of x with respect to p. 500 – X 0 < x < 500 8x

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Q: 18. Estimate the instantancous rate of change of the function f(x) = x' +4x - 11x-30 at x = 1. Round…

A: Given,  f(x)=x3+4x2-11x-30, x=1

Q: estimate the instantaneous rate of change at the point indicated.f (x) = ln x; x = 3

A: To find the instantaneous rate of change at x=3 we need f'(3) We find f'(x)

Q: Suppose that f(x) = 3x² – 3. (A) Find the slope of the line tangent to f(x) at x = 5. (B) Find the…

A: We find f'(x) using the power rule Slope of the line tangent to f(x) at x=5 is given by f'(5) So to…

Q: Numerically estimate the instantaneous rate of change of f(x)=e-x^2

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Q: Suppose x and y are functions of third variable t. In the equation +y=45, what are the values of the…

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Q: estimate the instantaneous rate of change at the point indicated. f (x) = e^x ; x = 0

A: To find the instantaneous rate of change at x=0 we need f'(0) So we find f'(x)

Q: Suppose a and y are related by a constant rate of change Ay and = 2, and y 4 when x = 3. Ax

A: Suppose x and y are related to the constant rate of change and ∆y∆x=2and y = 4 when x= 3

Q: 7. If the rate of growth of a bacteria population is modeled by r(t) = 8e2t-1 thousand bacteria per…

A: Introduction: When a function is given, we determine the average value by integrating the function.…

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 average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

A: