Determine the distance traveled y the particle between times t=0 and t=2.

Q: Q2 find the derivative of the following: 1) y = 2stn²(5x) ,2) y = Inx'n cosh 5x ,3) xsin¬14y = y…

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Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

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Q: Use the first principles delta method to find the derivative of y = x2 – x. %3D

A: Here we have to find the derivative of y by using the first principles delta method.

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: Given that,The path of a basketball is given byy=2.12+2.01x-0.38x2, 0≤x≤4.6wherex is the horizontal…

Q: A basketball player makes a successful shot from the free throw line. Suppose that the path of the…

A: We have given that in the basketball game ,the ball travels the path given by y=2.15+2.09x-0.41x2…

Q: Estimate the instantaneous rate of change of P(x)=5/x+2 at the point x=2

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Q: Find the instantaneous rate of change of y with respect to x at x=2 of the function y = 2x³ + 4 %3D

A: To Find: The instantaneous rate of change of the function y=2x3+4 at x=4. Given: The function is…

Q: Estimate ln(0.9) using a linear approximation

A: Given:ln(0.9)

Q: Find the derivative of the function using 3-step rule: v (t) = -.

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

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Q: An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+…

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Q: Determine the percentage relative error (In 2 decimal places) when we compare the derivative of…

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Q: 4 1 Y(s) = 5s2

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Q: Estimate the root very near x = 0.4 of 4(x*)" - 4(x²) + 1 = 0 using the Newton- Raphson Method with…

A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

Q: Obtain the derivative of the function y 4y sen (3x) – 7x In(2x + y) = e* - ey + 4tg(y)

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Q: use differentials to approximate the change in y if x changes from 25 to 25.3

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Q: Find the first derivative: y = In V2r³ – 5 O y =: 22-5 O y = 4z 22-5 O y = 62 22-5 O y =; 2z-5 O y =…

A: Here we have to find the first derivative of         y = ln(2x3-5)1/3

Q: Find the derivative of the function g(x)= integral  x2  tanx  (1/square root 4+t4) dt

A: Leibnitz integral rule for Differentiation :               ddx ∫α(x)β(x) f(t,x) dt = ∫α(x)β(x)…

Q: The average annual increment in the horn length (in centimeters) of bighorn rams born in recent…

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Q: Find the maximum rate of change of f at the given point and the direction in which it occur f(x, y)…

A: Topic- Vectro

Q: One side of a right triangle is 150 m long and its adjacent angle is t/3 radians, with t/60 radians…

A: Use derivative

Q: The length and width of a rectangle are measured as 89 cm and 22 cm, respectively. The error in…

A: According to the given information:Length of rectangle (l) = 89cmWidth of rectangle (b) = 22cmError…

Q: 4y4 at the Find the maximum rate of change of the function f(x, y) point (5,1)

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Q: The size of a population of butterflies is given by the function. p(t)= 6000/(1+49(0.6)t) where t…

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Q: Compute the derivative: 4 te* dt d 3z2 L tet dz -1

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Q: Let f(x, y) = cos(x+y²). Compute the rate of change in the direction of fastest increase for f at…

A: Find gradient and its magnitude then solve

Q: Use linear approximation (or differentials) to estimate the given number. 3 а. V8.12

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: What is the value of the function xcosnxdx if we integrate it using Kronecker' smethod?

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Q: Find the rate of change of f (x) = x° at x = 2. %3D

A: Rate of change.

Q: Suppose that a drug is administered to a person in a single dose, and assume that the drug does not…

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Q: The temperature in degrees centigrade (°C) at each point (x, y) on a curve 2x + y = 3 is given by…

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Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: Find the derivative using the long method 3 u = t2

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Q: Find the first and second order derivative w=3z7-7z3+21z2

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Q: Determine the instantaneous rate of change of the function πt³ √x sin (TE³ 2 f(x) = x3 1 + √t at…

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Q: B) Find the derivative of the foiiowing: 1) y = 2sin2(5x) ,2) y = x, 3) xsin-14y = y tan-14x 4) y =…

A: As per the company  guidelines we have to solv first 3 subparts if suborats are not mentioned  So…

Q: Suppose that a car accelerates at a rate of a(t) = t – 7 meters per second. Use the Fundamental…

A: ANSWER :

Q: Find the length of the curve defined by 2 y = 5 ln 5 from x = 7 to x = 9.

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Q: Find the derivative of the following using General Rule. 7) y = vt3 8) f(x) = 6 + 5 1 9) y =-+ 2 x3…

A: We have to find derivative of Given function.

Q: compute the rate of Change of the functioN at x= a. flx)= -2X²-X,Q= -5 instantaneous

A: Given function: fx=-2x2-x

Q: . Use a similar procedure to estimate the instantaneous rate of change of y = 3" at r = 0. Show your…

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Q: Find the linearization of ƒ(x) = sqrt(1 + x) + sin x - 0.5 at x = 0

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Q: Find the maximum rate of change of f at the given point and the direction in which it occurs. (x, y)…

A: First find gradient and take magnitude for max rate of change

Q: find a linearization at a suitably chosen integer neara at which the given function and its…

A: Consider the following function: fx=x2+2x Differentiate fx with respect to x: ddxfx=ddxx2+2xf'x=2x+2

Q: If ƒ(x) = xn, n ≥ 1, show from the definition of the derivative that ƒ'(0) = 0.

A: Now the derivative of a function f at a point 'a' is given by,

Q: A company has identified that the revenue R for a particular product is given by the equation R(x)…

A: The given Revenue function R(x)=23x3-40x2-450x.  Task: To maximize this revenue function.

Q: Find y'' by implicit differentiation 4x3+3y3=6

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Q: Q Find the derivative us ing the de fini tion 2. O fcx) Fcx) x+2X %3D

A: Derivative of the function using definition

Q: 2. Find two positive numbers whose product is 750 and for which the sum of one and 10 times the…

A: Product of two numbers:= 750; Sum of one and 10times the other is minimum;

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

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