What is the rule for the linear function described below? The linear function represented by a line passing through (-4, 12) and (2, 3) A f(x)=x+18 16. B f(x) = -x + ¹5 c_f(x) = x + D f(x)=x+6

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A: Given that,speed of car = 25 m/sand observer distance = 250m

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A: Given the integration                                                                  then we have…

Q: Evaluate the Iterated integral I SS (3y² + 4x) dady

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A: To find:-  Where S is the surface

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Q: True or false: If f is a differentiable function, then [ƒ(√)] = d dx f'(x) 2√x

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Q: 5. Use the method of linear system (the Gaussian-elimination method) to determine whether the…

A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

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Q: 5. *²2²√25 - 2²³dz

A: The given integral is

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Q: 2. Determine whether each of the following matrices are in row-echelon form, Reduced row-echelon…

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Q: 1. [-¹. 2S-5 2 S² + 4s +8

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Find all exact solutions on the interval 0 ≤ 0 < 2. If there is more than one answer, enter them as…

A: Given that the equation we have to find the exact solution of the given equation

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Q: (9) Given that g(x) = e(-), which of the following must be true on the interval (0, ∞)? (A) f(x) is…

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Q: Assume that x = x(t) and y = y(t). Find x² + y² =4.52: dx using the following information. dy = -2…

A: The objective of the question is to find the derivative of the equation x² + y² = 4.52 with respect…

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A: Note:-Since you asked multiple questions, according to our policy we can answer only first question…

Q: 7. Find the most general antiderivative of the function. (Check your answer by differentiation. Use…

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Q: Evaluate the following integral in cylindrical coordinates. 210 π 2 2 d²₁ dz r dr de 00-2 2 2 }}}. S…

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Q: 1. The diagram below shows the function f(x) drawn to scale. 10 4 -3 -2 1 -1 8 6 4 2 -2 -4 -6 0 1 3…

A: Note:As per our guidelines we are supposed to answer only first 3 subparts.If  if there are multiple…

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A: The objective of this question is to find the capacity of a new sandbox that is twice as long, twice…

Q: Given the graph ƒ(x), find ³5 f(x) dx using formula(s) from geomet

A: We have to find the integral value.

Q: I ||

A: Given the picture of the trianglewe have to find the value of x

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Q: -4 -3 f(x) dx = 2 f(x) dx = -2 π 7 4 (a) Use the figure above to find the value of the integral. 3…

A: Consider the graph

Q: Find the Left Riemann Sum and the Midpoint Riemann Sum for the function f(x) = x² - 2x on the…

A: The given function is .The aim is to find the left Riemann sum and the Midpoint Riemann sum for the…

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A: Area bounded by the curves y=f(x) and y=g(x) such that on [a,b] is given by

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-9, 5) Radius:…

A: To find the standard equation of the sphere with the given characteristics.

Q: (8) Find the differential for the function using logarithmic differentiation. y = (sin x) (sec): dy…

A: The given function is .The aim is to find the differential for the given function.Formula used:

Q: standard y = mx + b form, the tangent line to the parametric curve( 1/(t^2 +1) , 1/t) at the

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Q: For the demand equation, express the total revenue R as a function of the price p per item q=-8p +…

A: Given that the demand equation is

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Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

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Q: Graph the polynomial P(r) = r³+r²-5r +3 using calculus by showing the given steps: (a) Find the r-…

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Q: Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval.…

A: The given function is.The aim si to verify the Rolle's theorem on the given interval.Rolle's…

Q: Let f(x, y, z, w) = 7x³y¹00w5+ sin(w) + z cos(x - y). Find fxyyywxwzyxyxzw (0, 0, 0, 0).

A: f(x,y,z,w)=7x3 + sin(w) + z cos(x-y)

Q: for 4. Sketch the graph of the function on the given interval. h. Calculate Ax and the grid points…

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Q: y" + 2y + 17y = 0

A: The given differntial equation is

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A: given IVP

Q: (a) lim (ln(5x³ + 4) — ln(x³ + x + 7)) x→∞

A: since you have posted multiple question in this question which are not interlinked so i have solved…

Q: The following table shows the total sales, in thousands, since a new game was brought to market.…

A: Part (a): The data appear plotted with dots below: